Course Descriptions

MAC 259 - Computer Aided Machining (CAM) III

1. Create a tool path for a solid model surface.
2. Create three-dimensional (3-D) solid model surfaces.
3. Edit solid model surfaces.
4. Create 5 Axis toolpath
5. Set up Basic 5 Axis Milling using a laser tool setter. (Siemens and Haas)

1. Profile Surfaces of Tool Path.
   1. Drive/Check
   2. Rough passes
   3. Finish passes
   4. Recut/Edit
   5. Code generators
2. Solid Model Features in Three-Dimension (3-D)
   1. Revolved surface
   2. Ruled surface
   3. Loft surface
   4. Swept surface
   5. Extrude surface
   6. Cut body surface
   7. Add boss feature
3. Editing Solid Model Surfaces
   1. Zigzag
   2. One way
   3. Plunge control
   4. Step directions
   5. Offset
   6. Cut tolerance
   7. Data management techniques
4. 5 Axis Milling
   1. Planes management
   2. Tool path selection
   3. Machine setup
   4. Part probing
   5. Using laser tool setter
   6. Prove in 5 Axis program

MAC 275 - Applied Metallurgy

1. Discuss the general origin and role of materials, metals and alloys in the modern world.
2. Use standard classification systems, for both ferrous and non-ferrous metals and alloys, to specify and identify common industrial materials.
3. Discuss the basic industrial and manufacturing concepts related to the processes of shaping metals, and how such procedures are specified and described.
4. Perform Rockwell and Brinell hardness tests, and relate the results of these procedures to the basic strength properties of metals and alloys.
5. Describe how the structures of metals and alloys relate to their strength properties, and guide their processing operations.
6. Discuss the basic processes for strengthening metals and performing the common heat-treating procedures.
7. Discuss how the basic concepts of metallurgy apply to machining.
8. Select and develop a project of specific interest that applies metallurgical background.

1. Materials
   1. Introduction to materials
   2. Introduction to metals
   3. Introduction to alloys
   4. Extractive metallurgy
2. Alloy Classification Systems
   1. Ferrous alloys, steels, stainless steels, and irons
   2. Nonferrous metals and alloys
3. Industrial and Manufacturing Concepts
   1. Metal shaping processes
   2. Interpretation of technical information
   3. Temperature and its effects
   4. Specifications documents
4. Properties and Testing
   1. Strength properties
   2. Hardness testing
5. Structure and Properties
   1. Nature of metals
   2. Metallography
6. Industrial and Manufacturing Processes
   1. Strengthening processes
   2. Heat treating equipment and procedures
7. Industrial and Manufacturing Applications
   1. Metallurgy in machining
   2. Casting metallurgy
8. Individual Student Projects
   1. Project planning and development
   2. Presentation of projects

MAC 296 - Machine Tool Independent Projects

1. Define project objectives.
2. Use the mill, lathe, grinder or other machine tools to complete an independent project.
3. Identify necessary tooling to be used in completing a project.
4. Demonstrate safety and machining practices to complete a project per blueprint requirements and inspection.

1. Define a Project
   1. Plans
   2. Materials
2. Procedures and Safety Practices
   1. Mill
   2. Lathe
   3. Grinder
   4. Other equipment
3. Tooling Necessary for the Project
   1. Mill cutting tools
   2. Lathe cutting tools
   3. Other equipment tooling
4. Complete a Project
   1. Blueprint requirements
   2. Inspection

MGT 110 - Human Relations in Business and Industry

1. Discuss ways that team members are selected, taking worker values and team goals into consideration.
2. Name the leadership styles, and corresponding communication methods, utilized in a contemporary organization.
3. Give examples of how technology, electronic communications, and the internet influence team performance and organizational systems.

1. Describe types of work groups in the United States and discuss the various group dynamics that can be identified during this evolution.
2. Identify the variety of organizational work structures, discuss their relationship to the success or failure of organizations
3. Identify the source and nature of a worker’s values, analyze how they can be incorporated into the organization’s team effort, and examine these values in relation to worker selections for team performance.
4. Discuss the various communications skills and leadership styles required in a contemporary organization and analyze how they will be required within worker groups.
5. Explain the decision making process in contemporary versus traditional work structures and how they relate to productivity and work performance.
6. Explore brainstorming within work groups as to its success or failure in team performance, creativity, and decision making.
7. Analyze the basic foundations of controversy and its relationship to worker creativity or performance and examine the steps of structured controversy as it relates to worker group decision-making success or failure.
8. Define worker conflicts of interest, indicate how to avoid or resolve them within the organizational structure, and analyze various types of power in a team environment as to how they affect performance.
9. Discuss varied approaches to worker diversity and interdependence as related to methods of making diversity and cultural differences a strength among workers.
10. Delineate methods of team development and training as means of strengthening worker group productivity and concepts of worker leader growth as related to promoting team experiences and change.

1. Introduction
   1. Historical evolution of leading workgroups
      1. Before the Industrial Revolution
      2. During the Industrial Revolution
      3. After the Industrial Revolution
   2. Group dynamics
      1. What is a group (team)
2. The importance of work teams
3. Group dynamics
4. Group structure
5. Organizational Work Structures
   1. Types of organizational structures
      1. Traditional – vertical, horizontal
      2. Contemporary – matrix, circular
   2. Leader or Worker Skills
      1. Technical – job
      2. Human – people
      3. Conceptual – big picture
      4. Administrative – process
      5. Quantitative – control, monitor, keep score
6. Source and Nature of Worker Values
   1. Worker goals and social interdependence
      1. Outcome
      2. Reciprocal relationships
      3. Social interdependence and the real world
   2. Worker selection for team
      1. Self-motivation
      2. Trust
      3. Personal security
7. Team Communication Skills
   1. Effective interpersonal communication
      1. Physical barriers to communication
      2. Verbal competition in communication
      3. Patterns of communication
      4. Listening capabilities
   2. Leadership
      1. What is leadership?
      2. Styles
      3. Theories of leadership
      4. Organizational leadership
8. Decision Making
   1. Making effective decisions
      1. In a team structure
      2. In a non-team structure
      3. Individual versus group
      4. Methods in decision making
      5. Approaches to decision making
   2. Decision making in various types of organizations
      1. Union structures
      2. Non-union structures
      3. Small organizations
      4. Large organizations
      5. Profit organizations
      6. Non-profit organizations
      7. Government organizations
   3. Experts and group decision making
9. Creativity Within Worker Teams
   1. Types of creativity
      1. Original
      2. Collaborative
10. Brainstorming
    1. Develop and foster creativity
    2. Open versus closed belief system
    3. Controversy Within Worker Teams
    4. The steps of structure controversy
    5. The avoidance of controversy
    6. Outcomes of controversy
    7. Process of controversy
    8. Conditions determining the constructiveness of controversy
    9. Guidelines for constructiveness of controversy
11. Conflicts of Interest Within Worker Teams
    1. What are conflicts of interest?
       1. Conflict strategies: what are you like?
       2. Deciding how to negotiate
       3. Conflicts of interest: avoid or resolve
       4. Promoting negotiations
    2. Negotiation strategy
       1. Checklist for a win-lose strategy
       2. Inter-group conflict and super-ordinate goals
       3. Cross-ethnic conflict
       4. Third-party mediation
12. Dealing with Diversity and Cultural Differences
    1. Diversity and interdependence
    2. Group composition and performance on tasks
    3. Barriers to interacting with diverse peers
    4. Making diversity among members a strength

MGT 122 - Supervision

1. Explain the difference among supervisors, middle managers and top management.
2. Recognize at least three different models of organizational structures.
3. Define staffing and recruiting considerations important to supervisors.
4. Identify the way organizational politics influences supervision efforts.
5. Define key controls on which supervisors focus.

1. Describe the historical evolution of leading work groups in the United States, explain the relationship to similar developments in other industrial countries, and discuss the various group dynamics that can be identified during this evolution.      
2. Identify the variety of organizational work structures, discuss their relationship to the success or failure of organizations, and explain the value of experiential learning versus procedural learning taking place within these work structures.
3. Identify the source and nature of a worker’s values, analyze how they can be incorporated into the organization’s team effort, and examine these values in relation to worker selections for team performance.
4. Discuss the various communications skills and leadership styles required in a contemporary organization and analyze how they will be required within worker groups.
5. Explain the decision making process in contemporary versus traditional work structures and how they relate to productivity and work performance.
6. Identify the factors that develop and foster worker creativity as related to worker performance and productivity and explore brainstorming within work groups as to its success or failure in team performance.
7. Analyze the basic foundations of controversy and its relationship to worker creativity or performance and examine the steps of structured controversy as it relates to worker group decision-making success or failure.
8. Define worker conflicts of interest, indicate how to avoid or resolve them within the organizational structure, and analyze various types of power in a team environment as to how they affect performance.
9. Discuss varied approaches to worker diversity and interdependence as related to methods of making diversity a strength among workers.
10. Delineate methods of team development and training as means of strengthening worker group productivity and concepts of worker leader growth as related to promoting team experiences and change.

1. Supervision Fundamentals
   1. Organizations and their levels
   2. Changing expectations of supervisors
   3. Transition from employee to supervisor
   4. Supervisory competencies
2. Supervision Challenges
   1. Global competitiveness
   2. Technology enhancements
   3. Working in a diverse organization
   4. Changing how business operates
3. Planning and goal setting
   1. Productivity
   2. Planning and level in the organization
   3. Key planning guides
   4. Goal setting
4. Organizing
   1. Basic organizational concepts
      1. Span of control
      2. Chain of command
      3. Authority
   2. Organizational structures
      1. Functional structure
      2. Divisional structure
      3. Matrix structure
      4. Project structure
      5. Team-based structure
      6. Boundaryless organization
      7. Learning organization
   3. Organizing your employees
   4. Empowering others through delegation
5. Staffing and recruiting
   1. Employment planning
   2. Recruitment and selection
   3. Orientation, training, and development
   4. Performance appraisals
   5. Compensation and benefits
6. Controlling
   1. The control process
   2. Types of controls
   3. The focus of control
      1. Inventory
      2. Value chain management
      3. Quality
      4. Characteristics of effective controls
      5. Ways controls can create problems
7. Problem analysis and decision making
   1. The decision-making process
   2. Decision tools
   3. Decision-making styles
   4. Problems vs decisions
   5. Group decision making
   6. Ethics in decision making
8. Motivating and leading followers
   1. Theories of motivation
   2. Designing motivating jobs
   3. Motivation challenges for today’s supervisors
   4. Leader behavior and styles
   5. Leadership roles
   6. Leadership issues today
9. Communicating effectively
   1. The communication process
   2. Methods of communication
   3. Barriers to effective communication
   4. A key communication skill: Active Listening
10. Developing groups
    1. Understanding informal work groups
    2. The increasing use of teams
    3. Team challenges & issues for supervisors
11. Performance appraisals, workplace health, and safety
    1. Performance appraisal methods
    2. Leniency error and potential problems in performance appraisals
    3. The Occupational Safety and Health Act (OSHA)
    4. Job safety programs
    5. Maintaining a healthy work environment
12. Conflict, politics, discipline, and negotiation
    1. Managing and resolving conflict
    2. Understanding organizational politics
    3. The disciplinary process
    4. Bargaining and negotiation
13. Change management
    1. External and internal forces creating a need for change
    2. Traditional and contemporary views of change
    3. Stimulating innovation
14. Supervision and labor
    1. Labor relations
    2. Labor legislation
    3. Collective bargaining

MGT 200 - Small Business Management/Entrepreneurship

1. Identify a business opportunity and evaluate its viability.
2. Develop a solution in the form of a value proposition; that is, to demonstrate an understanding of customers and the problem they need to solve.
3. Construct a business model including customer segment, marketing channels, customer relationships, resources, and business activities including a technology-responsive infrastructure.
4. Explain the costs of starting a new business and its impact on the business model, its revenue streams, and pricing strategy in the global market.
5. Design a business plan for a startup and pitch presentation to test the idea.

1. Defining a Business Opportunity
   1. Identifying and isolating a specific problem
   2. Understanding the affected stakeholders (customer profile)
2. Evaluating the Viability of the Opportunity
   1. Crafting a value proposition
   2. Developing customer relationships
3. Crafting a Solid Business Model
   1. Elements of a Business Model
   2. How the elements work together
   3. Assumptions that can derail a business
4. Costs of Starting a Business
   1. Cost sides of the equation
   2. Pricing strategies and their impact on the Business Model
   3. Understanding profitability
5. Setting a Good Foundation
   1. Building an entrepreneurial team
   2. Thinking about funding sources
6. Strategies for Communicating Your Business Idea
   1. The Business Plan
   2. Pitching your business idea (“Pitch Deck”)

MGT 230 - Dynamics of Leadership

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Overview of the theoretical and applied foundations of leadership. The theoretical component includes the historical and contemporary theories and models of leadership, effective followership, multiculturalism, and ethics. The applied component includes the importance and use of vision and mission, inclusive leadership practices, responding to change, developing a personal philosophy of leadership, and creating a personal profile of strengths and assets. Communication and facilitation skills will be practiced with the completion of a leadership project.

Information: Same as STU 230  
  

1. Discuss changes in leadership theories and models over time.
2. Summarize a personal definition, philosophy, and profile of skills, characteristics, and support structures and processes for dynamic leadership.
3. Express the significance of vision and mission in facilitating strategic planning as a leader.
4. Identify aspects of effective teamwork and followership, including the integration of multiculturalism in leadership, group dynamics, and conflict resolution.
5. Devise ways to lead strategically in complex systems, responding to numerous changes with associated strategies that foster ethical practices and inclusivity. 
6. Practice communication, presentation, and facilitation skills.
7. Design and apply leadership skills through completing a comprehensive project.

            A.   Historical theories and models

            B.   Great leadership thinkers and their influence on the philosophy and practice of leadership

            C.   Current/emerging theories and models

II.       Personal Definition, Philosophy, and Profile

            A.   Creation of personal profile with strengths, assets, philosophy, and style

            B.   Importance of life balance, wellness, and support networks in renewal processes

III.     Strategic Planning, Vision, and Mission

            A.   Decision making, delegating, accountability, and evaluation of effort and impact

            B.   Goal setting and motivation

            C.   Importance and use of mission and vision statements and personal and organizational values

IV.     Team Building, Followership, and Multiculturalism

            A.   Stages and elements of group development and dynamics

            B.   Cultivating effective followership and overcoming barriers to teamwork

            C.   Nature and resolution of conflict      

D.   Diversity, multicultural leadership models, and impact on leadership and followership   

       behaviors              

V.      Complex Systems, Change, and Ethics

1. Nature of complex systems and productive leadership behaviors

            B.   Responding to change, chaos, and resistance through creativity and renewal

             C.   Ethical decision-making models and individual responsibility

            D.   Inclusive leadership practices

VI.     Communication, Presentation, and Facilitation Skills

            A.   Oral and written communication

            B.   Facilitating positive presentations, group discussions, and meetings, utilizing technology as              

                   applicable              

VII.    Designing and Completing a Leadership Project

            A.   Impact of community service, volunteerism, and service learning

            B.   Practicing leadership skills

            C.   Evaluate impact, effort, and effectiveness through appropriate measures

MGT 270 - Computer Applications for Managers

1. Appraise the current state of computing technology, identifying ways it might change in the future.
2. Identify several ways information technology is changing today’s organizations.
3. Distinguish the social and political issues associated with an increasingly “connected” global economy.
4. Analyze information systems trends, including how they relate to different aspects of management.
5. Organize the structure, application, and deliverables of a project using project management techniques.

1. State of Computing Technology
   1. Visions of the present state of computing technology
   2. Predictions of the future state of computer networking
2. Electronic Commerce and the Economy
   1. Impact of computer technologies on global commerce
   2. Examining the promise of productivity gains through information technology
   3. Money in electronic commerce
   4. Digital politics (i.e., online retail tax issues)
   5. Electronic warfare, viruses, and security
3. International Issues
   1. Software piracy
   2. Restrictions placed by foreign governments
   3. Uneven infrastructure in some foreign countries
4. Work and the Virtual Workplace
   1. Virtual workplace
      1. Changes in communication
      2. Telecommuting and home-based workers
      3. Information overload
      4. Online communities
      5. Artificial intelligence – will machines think?
   2. Data Security and Technological Risks
      1. Computer crime
      2. Security measures
      3. Intellectual property
      4. Legal trends
      5. Potential and liability for flawed electronic information
5. Project Management
   1. Setting project objectives
   2. Organizing the project team
   3. Managing projects
   4. Managing resources
   5. Prioritizing and managing tasks
   6. Using project management software
6. Presentations
   1. Creating and delivering an effective business presentation
   2. Reporting project status
   3. Delivering information to top-level management
   4. Presenting information to project team members

MGT 276 - Human Resources

1. Distinguish the role of personnel management and the environment in which it survives.
2. Write a personnel policy to include all benefits showing a cost benefit analysis.
3. Create an employee selection, interview, and development system to include an upward mobility plan for all employees.
4. Develop a basic program for dealing with the difficult employees and preventing and keeping grievances at the lowest level of management.
5. Create an equal opportunity program to include women, minorities, and the handicapped.
6. Appraise the future outlook for personnel management.

1. Roles and Concepts of Personnel Management
   1. Evolving roles of the personnel administrator
   2. Personnel policy
   3. Human factor in personnel management
   4. Staff role of the personnel administrator
2. Acquiring Human Resources
   1. Resource planning
   2. Recruiting
   3. Selection
   4. Testing - legal aspects of testing
   5. Placement

1. Administering the Personnel Program
   1. Personnel records
   2. Personnel research
   3. Interviewing and counseling skills
   4. Disciplinary problems
   5. Labor-management relations-dealing with a union
   6. Collective bargaining
   7. Administering the labor agreement
2. Developing Employee Potential
   1. Training the operative employee
   2. Managerial training and development
   3. Special development programs-minorities, women
   4. Performance appraisal
   5. Career planning
3. Maintaining the Work Force
   1. Compensation management
   2. Job evaluation
   3. Managerial compensation
   4. Benefit programs-costs
   5. Employee health and safety
4. Future Outlook for Personnel Management
   1. Using professional computer technologies
      1. Linked-In
      2. SHRM
   2. Using social media technologies
      1. Facebook
      2. Twitter

MGT 280 - Business Organization and Management

1. Associate management approaches with ethical and socially responsible behavior.
2. Distinguish the strategic approaches used in management planning and decision-making processes.
3. Differentiate the organization structures that support a business’ cultural environment.
4. Combine leadership styles with motivating teams and resolving conflict.
5. Analyze the mechanisms that businesses use to control financial performance and internal processes.

1. Managers and the Managerial Environment
   1. Managers and Management
   2. The Managerial Environment
   3. Managing in a Global Environment
2. Planning and Decision Support Systems
   1. Ethics and Social Responsibility
   2. Planning and Goal Setting
   3. Managerial Decision-making
3. Organizing
   1. Designing Adaptive Organizations
   2. Managing Change and Creativity
   3. Managing Human Resources and Diversity
4. Leading an Organization
   1. Individual Behavior
   2. Leadership
   3. Motivating Employees
   4. Conflict Resolution
5. Control
   1. Managing Communication
   2. Creating and Sustaining High Performance Teams
   3. Managing Quality and Performance

MKT 111 - Principles of Marketing

1. Explain each element of the Marketing Mix (product, price, place/distribution, and promotion) within the context of satisfying a chosen target market.
2. Apply the consumer decision making process noting its effect on purchasing consumer goods.
3. Recognize the way the Marketing Mix can play an integral part in the success of a good or service.
4. Interpret how traditional marketing communication methods are represented in social media marketing.
5. Discuss recent and past ethical dilemmas that arise for a business and explain the role that marketing and sales plays in upholding a company’s social and ethical responsibilities.
6. Identify the various distribution channels for consumer and business goods, recognizing the advantages and disadvantages of each in relation to the consumer’s wants and needs.

1. Introduction to Marketing Principles and Environment
   1. Strategic planning
   2. The marketing environment
   3. Marketing ethics and social responsibility
   4. Global dimensions of marketing
2. Researching Consumers and Markets
   1. Consumer decision-making and behavior
   2. Segmenting and targeting markets
   3. Conducting market research and identifying resources
3. Product Strategy
   1. The product lifecycle and portfolio matrix
   2. Branding, brand management, and brand equity
   3. Classification of consumer goods (convenience, shopping, specialty, and unsought)
4. Pricing Strategy
   1. Price as an image of a product/service
   2. Price as a source of revenue to cover costs
   3. Acceptable price ranges in the marketplace
   4. Up-selling and product bundling
5. Place/Distribution of Products/Services
   1. Understanding distribution channels
   2. Logistics and supply chain management
   3. Comparing modes of transportation
6. Promotional Strategies (Marketing Communication Mix)
   1. Advertising
   2. Social media marketing
   3. Public relations and events
   4. Personal selling

MKT 139 - Retailing

1. Identify how various retailers play a significant role to better serve consumers, businesses, and the overall economy.
2. Express how changing trends and demographics influence consumer buying behavior.
3. Recognize how a strong retail market strategy supports various operational management controls.
4. Explain the importance of information systems as they relate to inventory, financial.
5. Summarize the ways that wholesalers and retailers add value and contribute to management’s store vision.

1. Overview of the Industry of Retailing
   1. The Character and Problems of Retailing
   2. Competitive Behavior of Retail Institutions
2. Environmental Framework
   1. Social and Cultural Trends
   2. Geographic Trends
   3. Technological Trends
   4. Population and Demographic Trends
   5. Legal and Political Aspects
3. Consumer Demographics and Behavior
4. Retail Outlet Characteristics
   1. Location Analysis
   2. Store Interior and Exterior Design
5. The Retailing Mix
   1. Merchandising Mix and Strategies
   2. Merchandising Buying, Ordering, and Handling
   3. Retail Pricing
   4. Retail Customer Services and Assistance
   5. Retail Promotion and Advertising
6. Retail Information and Control Systems
   1. Financial Records
   2. Inventory Systems
   3. Retail Management Information Systems
   4. Decision-Making
7. The Changing Nature of Retailing
   1. The Retailing Wheel
   2. The Retailing Lifecycle
   3. Service Retailing
   4. International Retailing
   5. Wholesaling and Retailing
8. Retailing Careers

MKT 196 - Independent Study in Marketing and Business

1. Demonstrate ability to apply specific knowledge to a community service setting.
2. Organize an individual educational plan working with the faculty liaison and organization.
3. Identify the key business/marketing models that can be applied to the departmental setting.

MKT 200 - Advertising

1. Distinguish the various forms of advertising used within the retail industry
2. Identify benefits and principles of ethical advertising
3. Develop various ways in which the advertiser can enhance and develop a strong rapport with the client on a national and international scale.
4. Classify consumer behavior as it relates to market segmentation
5. Analyze the various promotional tools used within the advertising program to satisfy the retailer’s expectation

1. Advertising Perspectives
   1. An Overview of Advertising and its History
   2. The Social, Ethical, and Regulatory Aspects of Advertising
   3. The International Advertising Business
      1. Agencies
      2. Clients
2. Developing Marketing and Advertising Strategies
   1. The Importance of Marketing and Consumer Behavior to Advertising
   2. Market Segmentation and the Marketing Mix
   3. Marketing and Advertising Research
   4. Marketing and Advertising Planning
   5. Relationship Marketing and Integrated Marketing Communications
3. Creating Advertising Strategies, Advertisements, and Commercials
   1. Creative Copywriting
   2. Creative Art Direction
   3. Creative Production for Print Media
   4. Creative Production for Electronic Media
4. Advertising Media Mix
   1. Media Planning and Selection
   2. Print Media
   3. Electronic Media
   4. Direct Mail, Outdoor, Transit, and Supplementary Media

MAT 092 - Elementary Algebra

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Includes translating written statements into algebraic expressions, solving linear equations and inequalities, graphing linear equations, and solving systems of equations in two or three variables. Also includes integer exponents, scientific notation, polynomial operations, and factoring of polynomials.

Prerequisite(s): Within the last three years: ICS 081  with a grade of B or better, or MAT 086 with a grade of C or better, or completion of module 15 in MAT 089A  or MAT 089B , or satisfactory score on the Mathematics assessment test.
Corequisite(s): MAT 092LB  

1. Solve multi-step linear equations including decimal and fractional coefficients and solutions.
2. Graph linear equations using a variety of techniques.
3. Solve linear systems using graphical and algebraic techniques.
4. Factor polynomials using a variety of techniques.

1. Express written statements algebraically.
2. Solve linear equations.
3. Solve linear inequalities and graph solutions on the number line.
4. Graph linear equations.
5. Solve systems of linear equations in two variables graphically and algebraically.
6. Solve systems of linear equations in three variables algebraically.
7. Apply the laws of exponents to expressions with integer exponents.
8. Perform the basic operations on polynomials.
9. Factor polynomials using multiple techniques.

Optional Objectives:

1. Simplify, add, subtract, multiply, and divide elementary rational expressions; solve rational equations that result in linear equations.
2. Simplify numerical square-roots. 
3. Solve quadratic equations by factoring, taking square roots, and the quadratic formula

1. Translate Written Statements Into Algebraic Expressions
2. Linear Equations
   1. Simplify and solve algebraically
   2. Applications
3. Linear Inequalities
   1. Solve
   2. Graph on the number line
   3. Applications
4. Lines
   1. Cartesian coordinate system
   2. Midpoint of a line segment
   3. Slope and intercepts
   4. Equations
      1. Vertical and horizontal
      2.  Standard form
      3.  Slope-intercept form
      4.  Point-slope form
   5. Parallel and perpendicular
5. Systems of Linear Equations in Two Variables
   1. Graphing method
   2. Substitution method
   3. Elimination method
   4. Applications
6. Systems of Linear Equations in Three Variables
   1. Substitution method
   2. Elimination method
   3. Applications
7. Integer Exponents
   1. Laws of exponents
   2. Negative exponents
   3. Scientific notation
8. Polynomials
   1. Terminology
   2. Operations including addition, subtraction, multiplication, and division (including long division)
9. Factoring Polynomials
   1. Greatest common factor
   2. Factor by grouping
   3. Trinomials
   4. Difference of squares
   5. Difference/sum of cubes
10. Optional Topics
    1. Elementary Rational Expressions
       1. Avoid division by zero
       2. Simplification
       3. Basic operations
       4. Solve rational equations which result in linear equations
       5. Applications
    2. Square Roots
       1. Evaluate
       2. Simplify
       3. Solve radical equations which result in linear equations
    3. Quadratic Equations
       1. Solve by factoring
       2. Solve by extracting square roots
       3. Solve by using quadratic formula

MAT 092LB - Mathematics Success Support

1. Apply Math 92 topics such as linear equations, systems of linear equations, and polynomials to real world problems
2. Model effective math study skills.
3. Participate collaboratively in activities.
4. Demonstrate growth mindset behaviors.
5. Identify characteristics, causes, and misconceptions related to math anxiety.

1. Conceptual Understanding
   1. Previous and future concept alignment with current topic
   2. The ability to describe how concepts are related
2. Application Problems
   1. Linear equations
   2. Systems of linear equations
   3. Polynomials
3. Effective Math Study Skills
   1. Note taking skills
   2. Test taking skills
   3. Test review processes
4. Collaborative Work Skills
   1. Active listening skills
   2. Nonverbal communication effects
   3. Team building exercises
5. Develop a Growth Mindset
   1. Attributes of a growth vs fixed mindset
   2. Growth mindset behaviors
   3. Personal actions that reflect a growth mindset
6. Strategies to Reduce Math and Test Anxiety
   1. Characteristics of anxiety
   2. Causes of anxiety
   3. Current research on anxiety (academic and test taking)
   4. Methods to reduce anxiety

MAT 092RQ - Topics in College Mathematics Co-requisite

2 Credits, 2 Contact Hours
2 lecture periods 0 lab periods

Preparation for Topics in College Mathematics. Includes translating written statements into  algebraic expressions, solving linear equations and graphing linear equations. Also includes  integer exponents, scientific notation, math study skills, test taking strategies, and growth mindset  behavior. Focus will be on skills and topics that help students succeed in MAT 142RQ  .

Prerequisite(s): Within the last three years: ICS 081  with a grade of B or better, or completion of module 15 in MAT 089A or MAT 089B, or placement into MAT 092  

 
Corequisite(s): Concurrent enrollment in MAT 142RQ   
Information: This class is a supplement to MAT 142RQ   for eligible pre-college ready students.

1. Solve linear equations.
2. Graph linear equations using a variety of techniques.
3. Translate written Statement into algebraic expressions.

1. Express written statements algebraically.
2. Determine the percent increase and percent decrease between different values.
3. Use percentage in applications.
4. Solve linear equations.
5. Graph linear equations.
6. Apply the laws of exponents to expressions with integer exponents
7. Use order of operations to simplify complex expressions
8. Simplify expressions involving factorials
9. Use a spreadsheet to do mathematical calculation.
10. Solve equations using the n-th root.
11. Identify and demonstrate effective math study techniques.
12. Identify and demonstrate growth mindset behaviors.
13. Identify and apply test-taking strategies.

1. Translate Written Statements Into Algebraic Expressions
   1. Words including “and”, “or”, “at least”, “greater than”, “at most”, “less than” 
2. Percents
   1. Calculate Percent Increase
   2. Calculate Percent Decrease
   3. Calculate Sales Tax
3. Linear Equations
   1. Simplify and solve algebraically
   2. Solve multiple step equations
   3. Applications
4. Lines
   1. Cartesian coordinate system
   2. Slope and intercepts
   3. Equations
      1. Vertical and horizontal
      2.  Standard form
      3.  Slope-intercept form
      4.  Point-slope form
5. Exponents
   1. Laws of exponents
   2. Negative and rational exponents
   3. Scientific notation using technology
6. Simplify Complex Expression
   1. Order of operations
   2. Fractions with exponents
   3. Distributive property
7. Factorial
   1. Definition
   2. Simplify
8. Technology
   1. Scientific calculator
   2. Spreadsheets such as Excel or Google Sheets
9. Nth Roots
   1. Approximate with calculator
   2. Solve radical equations with n-th roots
10. Effective Math Study Skills
    1. Not taking skills
    2. Test taking skills
11. Growth Mindset
    1. Attributes of a growth vs fixed mindset
    2. Growth mindset behaviors

MAT 095 - Pre-College Algebra

5 Credits, 5 Contact Hours
5 lecture periods 0 lab periods

Basic and intermediate algebra concepts. Includes translating written statements into algebraic expressions, linear equations, linear inequalities, graphing, integer exponents, and polynomials. Also includes factoring, rational and radical expressions and equations, square roots, quadratic equations, functions, exponential and logarithmic expressions.

Prerequisite(s): Within the last three years: ICS 081  with an A, or MAT 086 with a B or better, or completion of module 22 in MAT 089A  or MAT 089B , or required score on the Mathematics assessment test.
Information: Access to a scanner required for Math classes taken online.

1. Solve linear rate of change application problems.
2. Solve linear 2x2 system application problems.
3. Solve absolute value inequalities involving linear equations.
4. Solve rational equations with at least one factorable second-degree polynomial in the denominator.
5. Solve radical equations that result in a quadratic equation solvable by factoring.
6. Use the quadratic formula to solve quadratic equations that comes from an application problem.

1. Find distance and midpoint between two points.
2. Calculate slopes of lines, determine equations of lines and graph lines.
3. Solve and graph linear inequalities and compound linear inequalities and graph in 1-D and 2-D.
4. Solve systems of two and three linear equations and interpret geometrically.
5. Solve absolute value equations and inequalities.
6. Factor polynomials and solve related equations.
7. Perform operations on square root expressions.
8. Solve quadratic equations by factoring, using the square root property, completing the square, and using the quadratic formula; interpret the discriminant; and graph quadratic equations.
9. Perform operations on rational expressions, and solve rational equations that yield quadratic equations. 
10. Apply exponent rules to integer and rational exponents; convert between rational exponents and radical notation; and solve radical equations.
11. Evaluate exponential and logarithmic functions, convert between exponential and logarithmic forms, and graph exponential functions.
12. Define and identify functions, determine their domains, and use function notation.

1. Distance and Midpoint Between Two Points
   1. Distance calculations
   2. Midpoint calculations
2. Lines in the Plane
   1. Determine slopes of lines
   2. Write the equation of a line
      1. Given two points
      2. Given a point and a slope
      3. Give a point and a parallel or perpendicular line
   3. Graph lines

D. Applications

1. Inequalities
   1. Interval notation
   2. Compound inequalities
   3. Linear inequalities with two variables
   4. Applications
2. Systems of Linear Equations
   1. Graphical representation of systems with two variables
   2. Elimination and substitution methods for two variables
   3. Geometrical interpretation of consistent, and inconsistent systems
   4. Applications for two variables
   5. Algebraic solution of systems with three variables
   6. Geometrical interpretation of consistent, inconsistent and independent systems of three variables
   7. Applications for three variables
3. Absolute Value
   1. Solve equations
   2. Solve inequalities
4. Polynomials
   1. Factoring
      1. Grouping
      2. Trinomials
      3. Substitution methods
      4. Difference of squares, and sum and difference of cubes
   2. Solve equations by factoring
5. Square Roots and nth Roots
   1. Evaluate
   2. Simplify
   3. Perform operations
6. Quadratic Equations and Functions
   1. Completing the square
   2. Quadratic formula and the discriminant
   3. Graphs of quadratic equations
   4. Applications
7. Rational Expressions and Equations
   1. Reduce and build
   2. Basic operations (addition, subtraction, multiplication and division)
   3. Simplify complex rational expressions
   4. Solve rational equations including those involving quadratic equations
   5. Applications
8. Radical and Exponential Expressions and Equations
   1. Laws of exponents for integer exponents
   2. Scientific notation
   3. Conversion between rational exponents and radical notation
   4. Laws of exponents for rational exponents
   5. Addition, subtraction, multiplication and division of radical expressions
   6. Rationalizing numerators and denominators
   7. Radical equations
   8. Applications
9. Exponents and Logarithms
   1. Conversion between exponential and logarithmic forms
   2. Evaluation of exponential and logarithmic functions
   3. Graphing exponential functions
10. Functions
    1. Definition
    2. Identification
    3. Notation
    4. Domain

MAT 097 - Intermediate Algebra

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Definition of function and function notation, compound inequalities in one variable, graphs of linear inequalities in two variables, and absolute value equations and inequalities. Also includes rational and radical functions and equations, quadratic functions and their graphs, exponential functions and their graphs, and logarithms.

Prerequisite(s): Within the last three years: MAT 092  with a grade of C or better, or completion of module 25 in MAT 089A  or MAT 089B , or satisfactory score on the Mathematics assessment test.
Information: The online sections for the course require students to have the ability to share (electronically) handwritten work within the course.

1. Solve absolute value inequalities involving linear equations.
2. Solve rational equations with at least one factorable second-degree polynomial in the denominator.
3. Solve radical equations that result in a quadratic equation solvable by factoring.
4. Use the quadratic formula to solve quadratic equations that comes from an application problem.

1. Define and identify a function, and use function notation.
2. Solve compound inequalities in one variable and graph linear inequalities in two variables.
3. Solve absolute value equations and inequalities.
4. Simplify and perform operations on rational expressions, and solve rational equations.
5. Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations.
6. Solve quadratic equations by factoring, completing the square, and using the quadratic formula.
7. Graph quadratic functions.
8. Solve applications including literal equations.
9. Convert between exponential and logarithmic equations, and evaluate exponential and logarithmic expressions.
10. Graph elementary exponential functions.

        Optional Objectives

11. Factor polynomials using a variety of techniques.

12. Solve equations and applications involving variation.

1. Functions
   1. Definition
   2. Identification
   3. Notation
2. Inequalities
   1. Interval notation
   2. Compound
   3. Linear with two variables
   4. Applications
3. Absolute Value
   1. Equations
   2. Inequalities
4. Rational Expressions and Equations
   1. Domain of rational functions
   2. Addition, subtraction, multiplication, and division of rational expressions
   3. Complex rational expressions
   4. Rational equations including those that result in quadratic equations
   5. Applications including literal equations
5. Radical Expressions and Equations
   1. Domain of radical functions
   2. Addition, subtraction, multiplication, and division of radical expressions
   3. Rationalization of denominators or numerators
   4. Conversion between radical notation and rational exponents
   5. Radical equations
   6. Distance formula
   7. Applications including literal equations
6. Quadratic Equations and Functions
   1. Solve equations by factoring
   2. Complete the square
   3. Quadratic formula and interpretation of the discriminant
   4. Graph quadratic functions
   5. Applications including literal equations  
7. Exponential Functions and Logarithms
   1. Convert between exponential and logarithmic equations
   2. Evaluate exponential and logarithmic expressions
   3. Graph elementary exponential functions
8. Optional Topics
   1. Factoring polynomials
      1. Greatest common factor
      2. Factor by grouping
      3. Trinomials
      4. Difference of squares
      5. Difference/sum of cubes
   2. Variation

1. Direct
2. Inverse
3. Joint

MAT 097RQ - College Algebra Co-requisite

2 Credits, 2 Contact Hours
2 lecture periods 0 lab periods

Preparation for college algebra. Includes the definition of function and function notation, compound inequalities in one variable, graphs of linear inequalities in two variables, and absolute value equations and inequalities. Also includes rational and radical functions and equations, quadratic functions and their graphs, exponential functions and their graphs, and logarithms. Focus is on skills and topics that help students succeed in MAT 151RQ  .  

Prerequisite(s):  Within the last three years:  MAT 092  with a grade of B or better or placement into MAT 097 .
Corequisite(s): Concurrent enrollment in MAT 151RQ  .
Information: This class is a supplement to MAT 151RQ   for eligible pre-college ready students.

1. Solve quadratic equations, rational equations that lead to linear or quadratic equations, and radical equations.
2. Graph quadratic and elementary exponential functions.
3. Solve problems involving real world applications.
4. Model effective student success skills.

1. Define and identify a function and use function notation.
2. Solve compound inequalities in one variable and graph linear inequalities in two variables.
3. Solve absolute value equations and inequalities.
4. Simplify and perform operations on rational expressions and solve rational equations.
5. Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations.
6. Solve quadratic equations by factoring, completing the square, and using the quadratic formula.
7. Graph quadratic functions.
8. Solve applications including literal equations.
9. Convert between exponential and logarithmic equations and evaluate exponential and logarithmic expressions. 
10. Graph elementary exponential functions.
11. Model effective student success skills.

1. Functions
   1. Definition
   2. Identification
   3. Notation
2. Inequalities
   1. Interval notation
   2. Compound
   3. Applications
3. Absolute Value
   1. Equations
   2. Inequalities
4. Rational Expressions and Equations
   1. Domain of rational functions
   2. Addition, subtraction, multiplication, and division of rational expressions
   3. Complex rational expressions
   4. Rational equations including those that result in quadratic equations
   5. Applications including literal equations
5. Radical Expressions and Equations
   1. Domain of radical functions
   2. Addition, subtraction, multiplication, and division of radical expressions
   3. Rationalization of denominators or numerators
   4. Conversion between radical notation and rational exponents
   5. Radical equations
   6. Distance formula
   7. Applications including literal equations
6. Quadratic Equations and Functions
   1. Solve equations by factoring
   2. Complete the square
   3. Quadratic formula and interpretation of the discriminant
   4. Graph quadratic functions
   5. Applications including literal equations  
7. Exponential Functions and Logarithms
   1. Convert between exponential and logarithmic equations
   2. Evaluate exponential and logarithmic expressions
   3. Graph elementary exponential functions
8. Model effective student success skills.
   1. Model effective math study skills

              i. Note-taking skills

              ii. Test-taking skills

              iii.Test review processes

B. Develop a growth mindset

    i.  Attributes of a growth vs fixed mindset

    ii. Growth mindset behaviors and actions

C. Implement strategies to reduce math and test anxiety

      i. Characteristics of anxiety

      ii. Causes of anxiety

      iii. Methods to reduce anxiety

D. Develop time management skills

MAT 106 - Elementary Data Analysis with Spreadsheets

1. Analyze data including central tendencies and variation.
2. Demonstrate knowledge of various data models including line of best fit and normal distribution.
3. Describe and display data using a spreadsheet. 

1. Distinguish between populations and samples, compare different sampling methods, and describe possible sample biases.
2. Represent data in various graphical forms including histograms, pie charts and tables, and interpret information presented in graphical form.
3. Set up Excel spreadsheets using formulas that reference other cells, use mathematical operations including integer exponents, and require application of the order of operations; create charts and graphs in Excel. 
4. Determine measures of central tendency of univariate data including means, modes, and quartile ranges.
5. Determine measures of variability of central tendency of univariate data including mean absolute deviation and standard deviation.
6. Define bivariate data; determine the correlation coefficient for bivariate data, and discuss issues of correlation and causation.
7. Use least squares regression to determine the equation of the “line of best fit”, use the equation to estimate other data points, and discuss predictive value of regression lines.
8. Discuss the impact of outliers for both univariate and bivariate data.
9. Use the normal model, standard normal model, and Z-score to measure and compare data from different distribution; extend these ideas to compute a confidence interval when comparing sample and population statistics.

1. Collection of Data
   1. Define population and sample
   2. Sampling techniques
   3. Sampling bias
2. Presentation of Data
   1. Tables and graphs
   2. Interpretation of graphical data
3. Excel Topics
   1. Review of basic operations
   2. Chart wizard
   3. Data analysis tool pack
4. Measures of Central Tendency of Univariate Data
   1. Mean, median and mode
   2. Quartile ranges
5. Variability of Central Tendency
   1. Mean absolute deviation
   2. Standard deviation
6. Bivariate Data Measures
   1. Analysis of bivariate data
   2. Correlation coefficient
   3. Causation versus correlation
7. Linear Regression
   1. Least squares regression
   2. Use regression line to estimate other points
   3. Discuss predictive abilities of regression
8. Outliers
   1. Univariate
   2. Bivariate
9. Normal Curve
   1. Normal model and standard normal model
   2. Z score
   3. Confidence intervals

MAT 142 - Topics in College Mathematics [SUN# MAT 1142]

1. Calculate and interpret empirical and theoretical probability, applications with counting, and expected value of events.
2. Identify and apply concepts of data collection and basic descriptive statistics topics.
3. Use the standard normal distribution to solve application problems with normally distributed data.
4. Model data using linear and exponential equations.
5. Solve financial problems related to simple interest, compound interest, annuities, and loans.
6. Solve problems involving real world applications that include working with percentages, basic geometry, proportional reasoning, and dimensional analysis.

1. Probability 
   1. Principles of counting
      1. Multiplication principle
      2. Repetition
      3. Permutations
      4. Combinations
   2. Probability Model
      1. Experimental vs theoretical
      2. Sample Space
      3. Events
   3. Joint probabilities
      1. Dependent events
      2. Independent events
      3. Conditional Probability
   4. Expected value
2. Statistics
   1. Data characteristics
      1. Measures of central tendency
      2. Measures of variation
      3. Percentiles
      4. Normal Distribution
   2. Linear Regression
      1. Linear regression model
      2. Correlation coefficient
   3. Collecting Data
      1. Sampling Method
      2. Experimental Research and Design
3. Finance
   1. Interest
      1. Simple
      2. Compound
      3. Continuous
   2. Annuities
   3. Loans
4. Modeling Growth
   1. Linear Applications
   2. Exponential Applications
5. Problem Solving
   1. Multiple methods for approaching problem solving
   2. Dimensional Analysis
      1. Converting Simple units (English, metric, currency) and applications
      2. Converting Compound units – i.e. yd³, ft/sec etc. and applications
   3. Percentages
      1. Percent Increase
      2. Percent Decrease
      3. Applications of percentages
   4. Proportional reasoning
      1. Proportional relations
      2. Applications of proportional relations
   5. Geometry
      1. Perimeter, area, and volume formulas
         1. Basic shapes
         2. Irregular shapes
         3. Applications
6. Optional Topics
   1. Logic
   2. Voting theory and apportionment
   3. Graph theory
   4. Mathematics and Art
   5. Fair division

MAT 142RQ - Topics in College Mathematics

1. Calculate and interpret empirical and theoretical probability, applications with counting, and expected value of events.
2. Identify and apply concepts of data collection and basic descriptive statistics topics.
3. Use the standard normal distribution to solve application problems with normally distributed data.
4. Model data using linear and exponential equations.
5. Solve financial problems related to simple interest, compound interest, annuities, and loans.
6. Solve problems involving real world applications that include working with percentages, basic geometry, proportional reasoning, and dimensional analysis.

1. Probability 
   1. Principles of counting
      1. Multiplication principle
      2. Repetition
      3. Permutations
      4. Combinations
   2. Probability Model
      1. Experimental vs theoretical
      2. Sample Space
      3. Events
   3. Joint probabilities
      1. Dependent events
      2. Independent events
      3. Conditional Probability
   4. Expected value
2. Statistics
   1. Data characteristics
      1. Measures of central tendency
      2. Measures of variation
      3. Percentiles
      4. Normal Distribution
   2. Linear Regression
      1. Linear regression model
      2. Correlation coefficient
   3. Collecting Data
      1. Sampling Method
      2. Experimental Research and Design
3. Finance
   1. Interest
      1. Simple
      2. Compound
      3. Continuous
   2. Annuities
   3. Loans
4. Modeling Growth
   1. Linear Applications
   2. Exponential Applications
5. Problem Solving
   1. Multiple methods for approaching problem solving
   2. Dimensional Analysis
      1. Converting Simple units (English, metric, currency) and applications
      2. Converting Compound units – i.e. yd³, ft/sec etc. and applications
   3. Percentages
      1. Percent Increase
      2. Percent Decrease
      3. Applications of percentages
   4. Proportional reasoning
      1. Proportional relations
      2. Applications of proportional relations
   5. Geometry
      1. Perimeter, area, and volume formulas
         1. Basic shapes
         2. Irregular shapes
         3. Applications
6. Optional Topics
   1. Logic
   2. Voting theory and apportionment
   3. Graph theory
   4. Mathematics and Art
   5. Fair division

MAT 146 - Mathematics for Elementary Teachers I

1. Apply number properties, analyze number patterns to solve problems, and identify numbers as natural, whole, integer, prime, composite, rational, and irrational.
2. Use appropriate arithmetic operations to solve problems with integers and rational numbers, and explain the algorithms used.
3. Solve problems using number bases other than base 10.
4. Describe and use set operations and Venn Diagrams.
5. Use different strategies to solve problems using algebraic reasoning moving from concrete models or verbal descriptions to symbolic descriptions.

1. Real Number Properties and Patterns
   1. Whole numbers
   2. Integers
   3. Rational numbers
   4. Irrational numbers
   5. Number theory
      1. Primes versus composite
      2. Factors and multiples
      3. Divisibility
   6. Teaching tools and resources
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software programs, math games
      5. Manipulatives
      6. Structured and guided practice
2. Arithmetic Operations and Algorithms in Subsets of Real Numbers
   1. Conceptual understandings
      1. Interconnectedness
      2. Underlying structure
   2. Algorithms
      1. Traditional
      2. Nontraditional
   3. Teaching tools and resources
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software programs, math games
      5. Manipulatives
      6. Structured and guided practice
3. Alternative Number Systems
   1. Binary
   2. Octal
   3. Hexadecimal
   4. Teaching tools and resource
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software programs, math games
      5. Manipulatives
      6. Structured and guided practice
4. Set Theory
   1. Set operations
   2. Venn Diagrams
   3. Teaching tools and resources
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software programs, math games
      5. Manipulatives
      6. Structured and guided practice
5. Algebraic Reasoning and Problem Solving
   1. Problem solving strategies
      1. Trial and error
      2. Organizing data (charts, tables, graphs)
      3. Patterns
      4. Systematic elimination of alternatives
      5. Modeling
   2. Algebraic reasoning
      1. Verbal descriptions
      2. Symbolic descriptions
      3. Concrete models
   3. Teaching tools and resources
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software programs, math games
      5. Manipulatives
      6. Structured and guided practice

MAT 147 - Mathematics for Elementary Teachers II

1. Use English and metric units to measure basic physical quantities and convert units within systems.
2. Describe and apply common geometric shapes and their properties to formulas for perimeter, area, surface area, and volume.
3. Calculate the probability of the outcomes of simple experiments and apply counting techniques that include permutations and combinations.
4. Construct graphical data and calculate commonly used statistical measures with interpretation.

1. Measurement
   1. Definition of measurement
      1. Rulers
      2. Protractors and compasses
   2. Measurement standards and units
      1. English system
      2. Metric system
   3. Conversion of units
      1. Within systems
      2. Between systems
2. Teaching tools and resources
   1. Identifying and utilizing teaching resources
      1. World Wide Web, national organizations
      2. Classroom presentation
      3. Software programs, math games
      4. Manipulatives, calculators as problem-solving tools
      5. Structured and guided practice
3. Basic Geometry
   1. Common geometric shapes and properties
      1. One, two and three-dimensional figures
      2. Symmetry properties
   2. Calculation for common geometric figures
      1. Perimeter and area of triangles, rectangles, parallelograms and circles
      2. Surface area of rectangular prisms
      3. Volumes of rectangular prisms and spheres

C. Teaching tools and resources

1. Identifying and utilizing teaching resources
2. World Wide Web, national organizations
3. Classroom presentation
4. Software programs, math games
5. Manipulatives, rulers, protractors and compasses
6. Structured and guided practice

1. Probability
   1. Theoretical probability
   2. Making predictions using samples
   3. Probability of independent events
   4. Teaching tools and resources
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software Programs, math games
      5. Manipulatives, rulers, and calculators as problem-solving tools
      6. Structured and guided practice
2. Statistics
   1. Data analysis
      1. Counting techniques including permutations and combinations
      2. Frequency tables and distributions
      3. Graphical representations of data
         1. Bar, line, pie, and pictographs
         2. Scales and intervals
   2. Statistical measures
      1. Commonly used terms (range, mean, median, mode)
      2. Central tendency
      3. Variability
   3. Teaching Tools and Resources
      1. Identifying and utilizing teaching resources
      2. World Wide Web, national organizations
      3. Classroom presentation
      4. Software programs, math games
      5. Manipulatives, protractors, calculators as problem-solving tools
      6. Structured and guided practice

MAT 151 - College Algebra [SUN# MAT 1151]

1. Define functions and determine the domain and range. Perform operations on functions.
2. Solve various types of equations and systems.
3. Graph functions and inequalities.
4. Solve problems involving real world applications.

1. Define a function in terms of ordered pairs, graphically, and algebraically.
2. Determine the domain of a function, and determine whether an element is in the range of a function.
3. Use the algebra of functions and composition of functions defined by the modes in objective.
4. Use the definition of a one-to-one function and compute the inverse of a one-to-one function.
5. Define and calculate, exactly and by approximation, zeros and intercepts of functions.
6. Perform basic operations with complex numbers.
7. Find the zeros of polynomial functions by approximation and using simple algebraic methods.
8. Given its zeros and their multiplicities, construct a polynomial function and sketch its graph.
9. Graph rational functions.
10. Solve nonlinear inequalities graphically.
11. Use the properties of exponential functions.
12. Use the concept of inverse functions to develop and work with logarithmic functions.
13. Solve exponential and logarithmic equations.
14. Solve applications, by algebraic means and by approximation, using polynomial, single radical, power, rational, exponential, and logarithmic functions.
15. Solve application problems using linear systems.
16. Use graphing calculators (or other technology).
17. Using technology to model data (linear regression).

1. Functions
   1. Definition
      1. By ordered pairs from table or other sources
      2. Graphing
      3. Algebraically
      4. Piecewise-defined functions
      5. Increasing/decreasing functions
      6. Even and odd functions
      7. Domain and range
         1. Determine the domain
         2. Determine whether a number is in the range; find the range in other cases.
   2. Computations
      1. Algebra of functions
      2. Composition
      3. Find the inverse of a one-to-one function
      4. The zeros of a function                                        
2. Polynomial and Rational Functions
   1. Computations
      1. Identify zeros and y-intercepts
      2. Remainder and Factor Theorems
      3. Polynomial long division
      4. Fundamental Theorem of Algebra
      5. Applications of Polynomials
      6. Non-linear inequalities (using graphical methods)
      7. Complex number systems
   2. Second degree polynomials
      1. Complete the square to put in a form to identify vertex
      2. Applications of maximum/minimum type
   3. Rational Functions
      1. Use properties of polynomials to analyze rational functions
      2. Applications of rational functions
3. Exponential and Logarithmic Functions
   1. Properties and relationships
      1. Relate exponential and logarithmic as inverse functions
      2. Properties of Logarithms
   2. Problem solving
      1. Use part A to solve exponential and logarithmic equations
      2. Formulate and solve applied problems using exponential logarithmic functions.
4. Linear 2 x 2 and Higher Systems
   1. Solutions

1. Identify solutions as ordered n-tuples
2. Classify systems as consistent or inconsistent
3. Applications of systems
   1. Methods of solution

1. Graphing

1. Determine and graph features of functions and equations in general, and in particular for the types of functions listed in I-III.
   1. Intercepts
   2. Zeroes
   3. Asymptotes
   4. Use translations, reflections, and similar operations to obtain a new graph from a given graph.
   5. Use graph to interpret and analyze applied problems.

1. Simple radical functions and power functions
2. Calculator Use
   1. Numerical calculations and evaluation of functions
   2. Graph and analyze functions
   3. Other applications such as programs
   4. Linear regression
3. Optional Topics

1. Combinatorics
2. The Binomial Theorem
3. Conic sections
4. Systems of equations which include nonlinear equations
5. Systems of linear and/or nonlinear inequalities
6. Mathematical induction
7. Utilizing other types of technology such as spreadsheets
8. Matrices
9. Sequences and Series

MAT 151RQ - College Algebra

1. Define functions and determine the domain and range. Perform operations on functions.
2. Solve various types of equations and systems.
3. Graph functions and inequalities.
4. Solve problems involving real world applications.

1. Define a function in terms of ordered pairs, graphically, and algebraically.
2. Determine the domain of a function, and determine whether an element is in the range of a function.
3. Use the algebra of functions and composition of functions defined by the modes in objective.
4. Use the definition of a one-to-one function and compute the inverse of a one-to-one function.
5. Define and calculate, exactly and by approximation, zeros and intercepts of functions.
6. Perform basic operations with complex numbers.
7. Find the zeros of polynomial functions by approximation and using simple algebraic methods.
8. Given its zeros and their multiplicities, construct a polynomial function and sketch its graph.
9. Graph rational functions.
10. Solve nonlinear inequalities graphically.
11. Use the properties of exponential functions.
12. Use the concept of inverse functions to develop and work with logarithmic functions.
13. Solve exponential and logarithmic equations.
14. Solve applications, by algebraic means and by approximation, using polynomial, single radical, power, rational, exponential, and logarithmic functions.
15. Solve application problems using linear systems.
16. Use graphing calculators (or other technology).
17. Using technology to model data (linear regression).

1. Functions
   1. Definition
      1. By ordered pairs from table or other sources
      2. Graphing
      3. Algebraically
      4. Piecewise-defined functions
      5. Increasing/decreasing functions
      6. Even and odd functions
      7. Domain and range
         1. Determine the domain
         2. Determine whether a number is in the range; find the range in other cases.
   2. Computations
      1. Algebra of functions
      2. Composition
      3. Find the inverse of a one-to-one function
      4. The zeros of a function                                        
2. Polynomial and Rational Functions
   1. Computations
      1. Identify zeros and y-intercepts
      2. Remainder and Factor Theorems
      3. Polynomial long division
      4. Fundamental Theorem of Algebra
      5. Applications of Polynomials
      6. Non-linear inequalities (using graphical methods)
      7. Complex number systems
   2. Second degree polynomials
      1. Complete the square to put in a form to identify vertex
      2. Applications of maximum/minimum type
   3. Rational Functions
      1. Use properties of polynomials to analyze rational functions
      2. Applications of rational functions
3. Exponential and Logarithmic Functions
   1. Properties and relationships
      1. Relate exponential and logarithmic as inverse functions
      2. Properties of Logarithms
   2. Problem solving
      1. Use part A to solve exponential and logarithmic equations
      2. Formulate and solve applied problems using exponential logarithmic functions.
4. Linear 2 x 2 and Higher Systems
   1. Solutions

1. Identify solutions as ordered n-tuples
2. Classify systems as consistent or inconsistent
3. Applications of systems
   1. Methods of solution

1. Graphing

1. Determine and graph features of functions and equations in general, and in particular for the types of functions listed in I-III.
   1. Intercepts
   2. Zeroes
   3. Asymptotes
   4. Use translations, reflections, and similar operations to obtain a new graph from a given graph.
   5. Use graph to interpret and analyze applied problems.

1. Simple radical functions and power functions
2. Calculator Use
   1. Numerical calculations and evaluation of functions
   2. Graph and analyze functions
   3. Other applications such as programs
   4. Linear regression
3. Optional Topics

1. Combinatorics
2. The Binomial Theorem
3. Conic sections
4. Systems of equations which include nonlinear equations
5. Systems of linear and/or nonlinear inequalities
6. Mathematical induction
7. Utilizing other types of technology such as spreadsheets
8. Matrices
9. Sequences and Series

MAT 167 - Introductory Statistics [SUN# MAT 1160]

1. Compute simple and conditional probabilities.
2. Display, analyze, and model quantitative and categorical random variables.
3. Determine confidence intervals for population means and proportions.
4. Test claims for population means and proportions using hypothesis testing.

1. Define the nature of statistics. 
2. Display quantitative data using a variety of tables and graphs and compute measures of central tendency, variability, and position.
3. Compute simple and conditional probabilities, and determine independence of events.
4. Define a random variable and compute its distribution, mean, and variance.
5. Describe the following probability distributions and their uses: binomial, standard normal, normal, student’s t, and chi-square. 
6. State and apply the central limit theorem. 
7. Determine point estimations and confidence intervals for one population mean and proportion. 
8. Test claims for population mean and proportion using hypothesis testing and examine Type I and Type II errors. 
9. Determine confidence intervals and test claims using hypothesis testing for two population means and proportions and examine independent samples and paired samples. 
10. Determine a regression line and compute the corresponding correlation coefficient and test to determine significance. 
11. Choose at least one of the additional topics: hypothesis testing for variance, hypothesis testing for goodness of fit, test for independence using the chi-square distribution, test for homogeneity of proportions, ANOVA, or nonparametric methods. 

1. Nature of Statistics
   1. Descriptive and inferential statistics
   2. Data type
   3. Design of experiments
   4. Population versus sample

1. Quantitative Data
   1. Tables 
   2. Graphs
   3. Measures of central tendency
      1. Mean
      2. Mode
      3. Standard deviation

1. Probability 
   1. Discrete simple
   2. Discrete conditional
   3. Determine independence of events 
   4. Random variable distributions 
2. Probability Distributions 
   1. Binomial 
   2. Normal
   3. Student’s t
   4. Chi-square
3. Central Limit Theorem 
4. Estimates for Population Statistics
   1. Point 
   2. Intervals
5. Hypothesis Testing
   1. One population tests
   2. Two population tests
6. Correlation and Regression
7. Additional Topics
   1. Chi-square distribution hypothesis testing
      1. Test for variance
      2. Test for goodness of fit
      3. Test for independence
      4. Test for homogeneity of proportions
   2. ANOVA
   3. Nonparametric methods

MAT 172 - Finite Mathematics

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Sampling of finite mathematics which includes mathematics of finance, linear business functions, systems of equations, matrices, geometric and simplex methods of solving linear programming problems, logic, sets, combinatorics, basic probability, probability distributions, and Markov chains.

Prerequisite(s): Within the last three years: C or better in MAT 151  or satisfactory score on the mathematics assessment exam.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Solve linear programing problems.
2. Calculate and apply probabilities.
3. Solve problems involving real world applications.

1. Apply the mathematics of finance.
2. Graph and evaluate linear functions, including those applying to business.
3. Solve systems of linear equations using algebraic methods. 
4. Perform algebraic operations with matrices. 
5. Solve systems of linear equations using matrices; use Gaussian elimination with augmented matrices; use inverse matrices.
6. Solve linear programming problems geometrically.
7. Solve linear programming problems using the simplex method.
8. Apply basic symbolic logic including truth tables.
9. Represent sets using Venn Diagrams and perform set operations.
10. Use the principles of counting (including the multiplication principle, combinations, and permutations) to solve counting problems.
11. Calculate probabilities using conditional probability, independence, and Bayes’ theorem.
12. Define random variables, differentiating between continuous and discrete; identify probability distributions.

         Optional

13. Apply Markov chains, finding transition and distribution matrices.

1. Mathematics of Finance
   1. Simple interest
   2. Compound interest
   3. Future and present value of an annuity
   4. Amortizations
2. Linear Functions
   1. Graphs and equations of lines
   2. Linear cost, revenue, and profit functions
   3. Linear supply and demand functions
3. Solve Systems of Linear Equations
   1. Solve two equations with two unknown variables
   2. Break-even points
   3. Equilibrium points
4. Matrices
   1. Equality of matrices
   2. Algebraic operations on matrices
   3. Find the inverse of a non-singular matrix
   4. Use technology
   5. Write matrices which represent a system of linear equations
5. Solving Systems of Linear Equations using Matrices
   1. Gaussian elimination
   2. Solve a system of equations using inverse matrices
   3. Describe in detail the solutions of dependent systems
   4. Applications of systems of linear equations
   5. Use technology
6. Linear Inequalities and Linear Programming
   1. Graph systems of linear inequalities in two variables
   2. Solve linear programming problems geometrically
   3. Applications of linear programming
7. Solve Linear Programming using the Simplex Method
   1. Standard maximization problems
   2. Standard minimization problems
   3. Duality problems
   4. Applications of linear programming
8. Logic
   1. Propositions and connectives
   2. Apply truth tables to compound proposition
9. Sets
   1. Define sets including universal, empty, sub, complement, and power
   2. Define and perform set operations
   3. Draw Venn Diagrams representing sets
10. Counting
    1. Number of elements in a set
    2. Number of subsets of a set
    3. Multiplication principle
    4. Inclusion-exclusion principle
    5. Permutations
    6. Combinations
    7. Applications
11. Probability
    1. Sample spaces, simple outcomes, compound outcomes
    2. Find the probability of an event
    3. Draw tree diagrams
    4. Conditional probability
    5. Independence
    6. Bayes’ theorem
    7. Applications
12. Random variables
    1. Binomial distribution
    2. Normal distribution
    3. Expected value
13. Markov chains (Optional)
    1. Properties of Markov chains
    2. Transition and state matrices
    3. Regular Markov chains
    4. Absorbing Markov chains

MAT 187 - Precalculus

5 Credits, 5 Contact Hours
5 lecture periods 0 lab periods

College-level algebra and trigonometry. Includes functions, polynomial functions, rational functions,  exponential functions, logarithmic functions, trigonometric functions and identities and graphing  technology use.

Prerequisite(s): Within the last three years: MAT 095  or MAT 097  with a grade of C or better or  required score on the Mathematics assessment test.
Recommendation: This course is intended as an intensive accelerated preparation for students  who plan to continue to Calculus.
Information: Credit for only one course will be awarded to students completing MAT 151 , MAT 187,  MAT 188   See course description or advisor to choose your best option. No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151 , MAT 187, MAT 188 , or MAT 189 .   Graphing technology is required for this course and will be used extensively.

 
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Analyze functions by determining the domain, range, graph, zeros, asymptotes, and other properties.
2. Solve various types of equations, inequalities, and systems.
3. Solve problems involving real world applications.
4. Solve trigonometric equations and verify trigonometric identities.
5. Solve triangles and real world applications.

A. Quadratic-in-form equations

B.  Radical equations that lead to quadratics

C.  Equations with rational exponents

II.  Functions
       A. Definition and Representation

a.  Numerical

b.  Graphical

c.  Algebraic

      B. Transformations and Symmetry

      C. Operations including Composition

      D.  Average Rate of Change

      E. Inverse Functions

III. Polynomial Functions

     A.Graphs

a. Zeros (real and complex)

b. Relative max and mins

c. End Behavior (use limits to describe)

    B. Equations and Inequalities

    C. Applications

VII. Rational Functions

    A. Domain

    B. Graphs

a. Intercepts

b. Asymptotes (use limits to describe)

   C. Equations and Inequalities

   D.  Applications

V. Exponential and Logarithmic Functions

   A. Exponential Functions

a. Graphs (domain, range, intercepts and asymptote)

b. Equations

c. Applications

   B. Logarithmic Functions

a. Graphs (domain, range, intercepts, and asymptotes)

b. Properties of logarithms

c. Equations

d. Applications

VI. Trigonometry

    A. Angle Measure

    B. Right Triangle Trigonometric Definition

    C. Unit Circle Trigonometric Definition

    D. Graphs of Trigonometric Functions

    E. Trigonometric Identities

a. Basic, Pythagorean, and Reciprocal

b. Double Angle

   F.  Inverse Trigonometric Functions (arcsin, arccos, arctan)

   G. Trigonometric Equations

   H. Oblique Triangles

a. Law of Sines

b. Law of Cosines

MAT 188 - Precalculus I [SUN# MAT 1151]

4 Credits, 4 Contact Hours
4 lecture periods 0 lab periods

College-level algebra. Includes equations, systems of equations, algebraic and transcendental functions, inequalities, sequences and series, and calculator use.

Prerequisite(s): Within the last three years: MAT 095  or MAT 097  with a grade of C or better, or required score on the Mathematics assessment test.
Recommendation: This course is intended as an intensive preparation for students who plan to continue to Calculus.
Information: Credit for only one course will be awarded to students completing MAT 151 , MAT 187  , MAT 188  See course description or advisor to choose your best option. No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151 , MAT 187 , MAT 188, or MAT 189 . The combination of MAT 188 and MAT 189  is [SUN# 1187].  A graphing calculator is required for this course and will be used extensively.

 
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Analyze functions by determining the domain, range, graph, zeros, asymptotes, and other properties.
2. Solve various types of equations, inequalities, and systems.
3. Solve problems involving real world applications.

1. Represent functions graphically, algebraically, numerically, and verbally; use function operations and inverses; use transformations and determine symmetry.
2. Graph polynomial and rational functions; predict the nature of the zeros, and reconstruct a polynomial from its given zeros.
3. Solve polynomial, rational, and absolute value inequalities.
4. Graph exponential and logarithmic functions; solve exponential and logarithmic equations.
5. Analyze the asymptotic behavior of a function.
6. Solve linear systems algebraically, graphically, and using matrices; solve nonlinear systems graphically and algebraically.
7. Use a graphing calculator to graph and analyze functions.
8. Find the nth term of a sequence; calculate partial sums of arithmetic and geometric sequences.
9. Solve application problems.

1. Equations (Optional review as necessary)
   1. Equations of lines
   2. Quadratic and quadratic-in-form
   3. Absolute value
   4. Polynomial and rational
   5. Literal
   6. Radical
   7. Applications
2. Functions
   1. Definition and Representation
      1. Ordered pairs or table
      2. Graphical
      3. Algebraic
      4. Verbal
   2. Transformation of graphs
   3. Symmetry of graphs
   4. Operations
      1. Addition, subtraction, multiplication, division
      2. Composition
      3. Inverses
3. Polynomial and Rational Functions
   1. Polynomial functions
      1. Graphs
      2. Zeros: real and complex
      3. Reconstruct a polynomial from its given zeros
   2. Rational functions
      1. Domain
      2. Graphs
      3. Asymptotes – vertical and horizontal
      4. Limits (optional)
4. Inequalities
   1. Polynomial
   2. Rational
   3. Absolute value
5. Exponential and Logarithmic Functions
   1. Radicals and rational exponents (optional review)
   2. Exponential functions
      1. Graphs
      2. Equations
      3. Applications
   3. Logarithmic functions
      1. Properties of logarithms
      2. Common and natural logarithms
      3. Logarithms to other bases
      4. Graphs of logarithmic functions
      5. Equations
      6. Applications
6. Systems of Equations
   1. Linear
      1. Algebraic solution
      2. Graphical solution
      3. Matrix methods
      4. Algebra of matrices
   2. Nonlinear
      1. Algebraic solution
      2. Graphical solution
7. Calculator Use
   1. Numerical calculations and evaluation of functions
   2. Graphs and analysis of functions
   3. Matrix Computations
8. Sequences and Series
   1. Definitions and notation
   2. Arithmetic sequences and sums
   3. Geometric sequences and sums
   4. Infinite geometric series
   5. Binomial Theorem (optional)
9. Optional Topics
   1. Limits
      1. Construct and interpret a table
      2. Graphical interpretation
      3. Algebraic methods
      4. One-sided limits

MAT 189 - Precalculus II [SUN# MAT 1187]

1. Solve trigonometric equations and verify trigonometric identities.
2. Graph trigonometric functions polar equations, and conic sections.
3. Solve triangles and real world applications.

1. Convert between radians and degrees measures.
2. Define, graph, and evaluate the six trigonometric functions and their inverses.
3. Solve trigonometric equations algebraically and graphically.
4. Use trigonometric identities to simplify expressions and solve equations.
5. Graph polar equations; convert between rectangular and polar coordinates.
6. Use the standard equations for conic sections and sketch their graphs; identify types of conic sections and determine their features.
7. Use a graphing calculator to evaluate, graph, and analyze functions.
8. Solve application problems.

1. Trigonometric Functions
   1. Angle measure
   2. Definition and graphs of the six trigonometric functions
   3. Trigonometric Identities
      1. Basic, Pythagorean and Reciprocal
      2. Sum and difference formulas
      3. Double angle and half angle formulas
      4. Sum to product and product to sum (optional)
      5. Verification of identities
   4. Inverse trigonometric functions
   5. Law of Sines and Law of Cosines
   6. Trigonometric Equations
   7. Applications
2. Polar Coordinates
   1. Conversion between rectangular and polar coordinates
   2. Graphs of polar equations
3. Conic Sections
   1. Standard equations: Parabolas, Circles, Ellipses
   2. Identification of type of conic section
   3. Determination of features: center, vertices
   4. Optional:
      1. Hyperbolas
      2. Determination of foci, asymptotes
4. Calculator Use
   1. Numerical calculations and evaluation of functions
   2. Graphs and analysis of functions
5.  Additional Topics: select at least one
   1. Complex Numbers
      1. Definition and graphical representation
      2. Operations
      3. Conversion between standard form and polar form
      4. DeMoivre’s Theorem
   2. Vectors
      1. Addition, scalar multiplication
      2. Magnitude
      3. Conversion from rectangular to polar form
      4. Applications
   3. Parametric Equations

MAT 197 - Precalculus Supplemental Seminar

1. Apply problem-solving and critical thinking skills to Precalculus problems.
2. Demonstrate understanding of Precalculus concepts through the use of in-class discussion and problem-solving in small groups.
3. Use a graphing calculator to demonstrate improved understanding of Precalculus concepts.
4. Solve Precalculus problems using the Rule of Four to explore concepts algebraically, numerically, graphically and in context with applications.

1. Problem solving
   1. Process of problem solving
   2. Mathematical modeling
   3. Teamwork
2. Precalculus Concepts
   1. Applications of algebra
   2. Applications of trigonometry
3. Calculator Use and Application
   1. Numerical calculations, modeling and evaluation of functions
   2. Graphs and analysis of functions
   3. Matrix Computations
4. Rule of Four
   1. Numerical representation
   2. Algebraic representation
   3. Graphical representation
   4. Contextual representation

MAT 212 - Topics in Calculus [SUN# MAT 2212]

1. Evaluate limits of functions.
2. Differentiate functions and apply derivatives.
3. Determine antiderivatives of functions and apply the Fundamental Theorem of Calculus.

1. Evaluate limits of algebraic functions.
2. Use the definition to determine continuity of a function.
3. Use the definition to determine the derivative of algebraic functions.
4. Use techniques of differentiation on powers, sums, products, quotients, exponential, logarithmic, composite, and implicit functions. Calculate higher order derivatives.
5. Use the first and second derivatives to determine intervals where a function is increasing, decreasing, concave up, concave down; find points of inflection, relative and absolute extrema; and graph the function.
6. Use derivatives to solve a variety of application problems including optimization and rates of change with an emphasis in business. Explain the meaning of the derivative in the applications using appropriate units.
7. Find antiderivatives of polynomials, exponential functions and some rational functions.
8. Use finite sums to estimate the definite integral of functions defined numerically, graphically, or analytically.  Estimation techniques should include left and right hand sums.
9. Evaluate indefinite integrals.  Use the integration technique of substitution.  Use the fundamental Theorem of Calculus to evaluate definite integrals.
10. Use integration to solve applications problems including area between two curves and consumer and producer surplus.  Interpret the meaning of the integral in the applications using appropriate units.

1. Limits

1. Definition and notation
2. Evaluation of limits

1. Continuity

1. Definition
2. Continuity at a point
3. Continuity on an interval

1. Differentiation
   1. Definition of derivative
   2. Rules for derivatives

1. Power rule

2. Product rule

3. Quotient rule

4. Exponential/Logarithmic rules

   I. Chain Rule       

1. Implicit Differentiation
2. Higher order derivatives

1. Applications of the derivative
   1. Intervals of increase or decrease
   2. Relative and absolute extrema
   3. Concavity
   4. Points of Inflection
   5. Graphs of Functions
2. Mathematical modeling with the derivative
   1. Optimization
   2. Marginal cost, marginal revenue, marginal profit
   3. Interpretation of mathematical models
3. Antiderivatives             

1. Rules for antiderivatives
2. Antiderivatives of polynomial and rational functions
3. Antiderivatives of exponential functions

1. Approximation of definite integrals
   1. Area under a graph
   2. Left hand sum
   3. Right hand sum
2. Integration

1. Indefinite integral
2. Fundamental Theorem of Calculus
3. Definite integral

1. Integration by substitution

1. Applications of integration

1. Area between two curves
2. Consumer and producer surplus
3. Interpretation of mathematical models

MAT 220 - Calculus I [SUN# MAT 2220]

5 Credits, 5 Contact Hours
5 lecture periods 0 lab periods

Introduction to analytical geometry and calculus. Includes limits and continuity, derivatives, applications of the derivative, and integration.

Prerequisite(s): Within the last three years: MAT 187  or MAT 188 , and MAT 189  with a C or better; or required score on the Mathematics assessment exam.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Evaluate limits of functions.
2. Differentiate functions and apply derivatives.
3. Determine antiderivatives of functions and apply the Fundamental Theorem of Calculus.

1. Evaluate certain limits analytically, and estimate other limits numerically and/or graphically.  These limits include double-sided, one-sided, and limits at infinity.
2. Use the definition of continuity to identify points and types of discontinuity of functions defined analytically or graphically.
3. Use the definition of the derivative to calculate the exact derivative of certain functions and/or estimate the value of the derivative at a point.
4. Sketch the derivative of a function defined graphically.
5. Explain the meaning of the derivative in an applied situation using appropriate units.
6. Calculate derivatives, explicitly and implicitly, of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric function.
7. Determine the linear approximation of a function defined analytically, numerically, or graphically.
8. Solve related rates problems.
9. Calculate higher order derivatives of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric functions.
10. Estimate small changes in a function using differentials.
11. Use the 1^st derivative to identify critical points and intervals of increase and decrease.
12. Identify the type and location of extrema using 1^st and/or 2^nd derivative tests.
13. Use the 2^nd derivative to identify intervals of upward and downward concavity and inflection points.
14. Sketch graphs of algebraic and transcendental functions using information obtained from derivatives and other analyses.
15. Evaluate a variety of indeterminate forms using L’Hopital’s Rule.
16. Solve a variety of optimization problems using derivatives.
17. Find antiderivatives of polynomial, exponential, and some rational and trigonometric functions.
18. Solve applied problems requiring the use of antiderivatives such as acceleration, velocity, and position problems.
19. Sketch the graph of a possible antiderivative of a function defined graphically.
20. Use finite sums to estimate the definite integral of functions defined numerically, graphically or analytically.  Estimate techniques should include some of the following: left/right hand, trapezoid, and midpoint rules.
21. Interpret the definite integral in an applied situation using appropriate units.
22. Evaluate definite integrals using the Fundamental Theorem of Calculus.
23. Calculate the area beneath the graph of a function using the definite integral.  
24. Use the Fundamental Theorem of Calculus to demonstrate that differentiation and integration are inverse operations.
25. Use the technique of “substitution” to evaluate definite and indefinite integrals.

Optional Objectives:

26. Calculate derivatives of hyperbolic functions.

27. Calculate derivatives using logarithmic differentiation.

28. Use calculus to investigate the graphs of and distinguishing characteristics of families of functions.

29. Identify the condition where the Mean Value Theorem and/or the Extreme Value Theorem apply.

30. Estimate the solution of an equation using Newton’s Method.

31. Calculate areas between curves and simple applications problems using definite integrals.

1. Limits and Continuity
   1. 2-sided
   2. 1-sided
   3. Limits involving infinity
   4. Definition of continuity
   5. Points and types of discontinuity
2. Derivatives
   1. Definition of the derivative
      1. Estimate the value of the derivative
      2. Calculate exact derivatives
   2. Meaning of the derivative
   3. Differentiation Rules
      1. Power rule
      2. Product rule
      3. Quotient rule
      4. Chain rule
   4. Derivatives of transcendental functions
      1. Trigonometric functions
      2. Inverse trigonometric functions
      3. Exponential functions
      4. Logarithmic functions
      5. Hyperbolic functions (optional)
      6. Logarithmic differentiation (optional)
   5. Implicit differentiation
   6. Higher order derivatives
3. Applications of the Derivative
   1. Related rates
   2. Linear approximations
   3. Differentials
   4. Curve sketching
      1. Intervals of increase and decrease
      2. Extrema
      3. Intervals of concavity
      4. Points of inflection
   5. Families of functions (optional)
   6. Optimization
   7. Antiderivatives
      1. Polynomial functions
      2. Exponential functions
      3. Rational functions
      4. Trigonometric functions
      5. Applied problems
   8. L’Hopital’s Rule
   9. Mean Value Theorem (optional)
   10. Newton’s Method (optional)
4. Integration
   1. Definition of the definite integral
   2. Estimate the definite integral
   3. Fundamental Theorem of Calculus
   4. Indefinite integrals
   5. Area under curves
   6. Integration by substitution
   7. Area between curves (optional)

MAT 220HC - Calculus I: Honors

5 Credits, 5 Contact Hours
5 lecture periods 0 lab periods

Introduction to analytical geometry and calculus. Includes limits and continuity, derivatives, applications of the derivative, and integration. Also includes additional Honors  content.

Prerequisite(s): Within the last three years: MAT 187  or MAT 188 , and MAT 189  with a C or better; or required score on the Mathematics assessment exam.
Information: Must qualify for Honors program. Instructor or advisor/counselor approval may be required before registering for this course. Honors Content may include: Intensive theoretical-based and/or application-based projects using highest standards and best practices for the discipline. Also may include team problem solving projects in formats appropriate for the discipline with results presented in class or to a wider audience.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Evaluate limits of functions.
2. Differentiate functions and apply derivatives.
3. Determine antiderivatives of functions and apply the Fundamental Theorem of Calculus.

1. Evaluate certain limits analytically, and estimate other limits numerically and/or graphically.  These limits include double-sided, one-sided, and limits at infinity.
2. Use the definition of continuity to identify points and types of discontinuity of functions defined analytically or graphically.
3. Use the definition of the derivative to calculate the exact derivative of certain functions and/or estimate the value of the derivative at a point.
4. Sketch the derivative of a function defined graphically.
5. Explain the meaning of the derivative in an applied situation using appropriate units.
6. Calculate derivatives, explicitly and implicitly, of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric function.
7. Determine the linear approximation of a function defined analytically, numerically, or graphically.
8. Solve related rates problems.
9. Calculate higher order derivatives of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric functions.
10. Estimate small changes in a function using differentials.
11. Use the 1^st derivative to identify critical points and intervals of increase and decrease.
12. Identify the type and location of extrema using 1^st and/or 2^nd derivative tests.
13. Use the 2^nd derivative to identify intervals of upward and downward concavity and inflection points.
14. Sketch graphs of algebraic and transcendental functions using information obtained from derivatives and other analyses.
15. Evaluate a variety of indeterminate forms using L’Hopital’s Rule.
16. Solve a variety of optimization problems using derivatives.
17. Find antiderivatives of polynomial, exponential, and some rational and trigonometric functions.
18. Solve applied problems requiring the use of antiderivatives such as acceleration, velocity, and position problems.
19. Sketch the graph of a possible antiderivative of a function defined graphically.
20. Use finite sums to estimate the definite integral of functions defined numerically, graphically or analytically.  Estimate techniques should include some of the following: left/right hand, trapezoid, and midpoint rules.
21. Interpret the definite integral in an applied situation using appropriate units.
22. Evaluate definite integrals using the Fundamental Theorem of Calculus.
23. Calculate the area beneath the graph of a function using the definite integral.  
24. Use the Fundamental Theorem of Calculus to demonstrate that differentiation and integration are inverse operations.
25. Use the technique of “substitution” to evaluate definite and indefinite integrals.

Optional Objectives:

26. Calculate derivatives of hyperbolic functions.

27. Calculate derivatives using logarithmic differentiation.

28. Use calculus to investigate the graphs of and distinguishing characteristics of families of functions.

29. Identify the condition where the Mean Value Theorem and/or the Extreme Value Theorem apply.

30. Estimate the solution of an equation using Newton’s Method.

31. Calculate areas between curves and simple applications problems using definite integrals.

1. Limits and Continuity
   1. 2-sided
   2. 1-sided
   3. Limits involving infinity
   4. Definition of continuity
   5. Points and types of discontinuity
2. Derivatives
   1. Definition of the derivative
      1. Estimate the value of the derivative
      2. Calculate exact derivatives
   2. Meaning of the derivative
   3. Differentiation Rules
      1. Power rule
      2. Product rule
      3. Quotient rule
      4. Chain rule
   4. Derivatives of transcendental functions
      1. Trigonometric functions
      2. Inverse trigonometric functions
      3. Exponential functions
      4. Logarithmic functions
      5. Hyperbolic functions (optional)
      6. Logarithmic differentiation (optional)
   5. Implicit differentiation
   6. Higher order derivatives
3. Applications of the Derivative
   1. Related rates
   2. Linear approximations
   3. Differentials
   4. Curve sketching
      1. Intervals of increase and decrease
      2. Extrema
      3. Intervals of concavity
      4. Points of inflection
   5. Families of functions (optional)
   6. Optimization
   7. Antiderivatives
      1. Polynomial functions
      2. Exponential functions
      3. Rational functions
      4. Trigonometric functions
      5. Applied problems
   8. L’Hopital’s Rule
   9. Mean Value Theorem (optional)
   10. Newton’s Method (optional)
4. Integration
   1. Definition of the definite integral
   2. Estimate the definite integral
   3. Fundamental Theorem of Calculus
   4. Indefinite integrals
   5. Area under curves
   6. Integration by substitution
   7. Area between curves (optional)

MAT 227 - Discrete Mathematics in Computer Science [SUN# MAT 2227]

1. Determine the validity of complex arguments using formal logic notation.
2. Demonstrate competency in formal proof-writing techniques including direct and indirect methods of proofs.
3. Solve problems involving real world applications.

1. Utilize propositional and elementary predicate calculus.
2. Utilize the algebra of sets.
3. Demonstrate basic counting techniques.
4. Define and write direct and indirect proofs.
5. Define relations, functions, sequences and their properties.
6. Determine the digraph and matrix of a relation.
7. Apply big-oh notation.
8. Write induction proofs.
9. Provide recursive definitions and use recurrence relations.
10. Apply some or all of the above topics to computer science.

1. Logic
   1. Propositional forms
   2. Quantifiers
2. Set Theory
   1. Description and notation
   2. Venn diagrams
   3. Set operations
   4. Subsets and power set
3. Counting Techniques
   1. Factorials, permutations, and combinations
   2. Inclusion-exclusion principle
   3. Binomial coefficients
4. Proof techniques
   1. Direct proofs; proofs by cases
   2. Indirect proofs:  by contrapositive and by contradiction
   3. Rules of inference
5. Relations and Functions
   1. Cartesian products and ordered pairs
   2. Functions
      1. Domain, codomain, and range
      2. Inverse images
      3. One-to-one and onto functions
   3. Sequences and sigma notation
6. Binary Relations
   1. Reflexive, antireflexive, symmetric, antisymmetric, and transitive relations
   2. Graphs and digraphs of relations
   3. Adjacency matrix of a relation
   4. Equivalence relations, equivalence classes, and partitions
7. Big-Oh Notation
   1. Definition
   2. Relation to computer programming
8. Mathematical Induction
   1. Inductive proofs
   2. Strong vs. regular induction
   3. Inductive definitions
9. Recursion
   1. Recursive definitions
   2. Recurrence relations
   3. Explicit solutions

MAT 231 - Calculus II [SUN# MAT 2230]

4 Credits, 4 Contact Hours
4 lecture periods 0 lab periods

Continuation of MAT 220 . Includes techniques and applications of integration, numerical integration, improper integrals, sequences, infinite series, polar coordinates, parametric equations, and other related topics.

Prerequisite(s): Within the last three years: MAT 220  with a C or better.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Evaluate indefinite and definite integrals using exact and approximation techniques.
2. Use integrals in various applications.
3. Determine convergence of infinite series.

1. Use definite integrals to calculate areas between curves, volumes of solids, work, arc length, centroids/centers of mass and at least one of the following applications: hydrostatic force, average value of a function, economics, or probability.
2. Calculate indefinite integrals and exact values of definite integrals of algebraic and transcendental functions, including powers and products of trigonometric functions, using substitution, integration by parts, partial fractions, and trigonometric substitutions.
3. Estimate definite integrals using trapezoid, midpoint, and Simpson’s rules.
4. Determine if an improper integral converges or diverges, and if it converges, calculate or estimate its value.
5. Determine if an infinite sequence converges or diverges.
6. Determine if an infinite series converges or diverges using the divergence test, integral test, comparison test, limit comparison test, alternating series test, ratio and root tests.
7. Estimate the error associated with a partial sum approximation of a convergent alternating series
8. Determine if a series converges absolutely or conditionally.
9. Determine radii of convergence and intervals of convergence of power series.
10. Find the power series representation for a given function by integrating or differentiating existing power series.
11. Determine Taylor and Maclaurin series using the definition.
12. Determine slopes and areas of graphs defined in polar coordinates.
13. Determine slopes and arc length of two dimensional curves modeled with parametric equations.

Optional Objectives:

14. Use rationalizing substitutions to calculate indefinite integrals and exact values of definite integrals.

15. Generate the equation of a conic section given a graph, or sketch a graph given an equation.

16. Calculate error bounds for the numerical integration techniques.

17. Generate the binomial series expansion for appropriate functions.

18. Apply integration techniques to solve separable differential equations.

19. Use slope fields and/or Euler’s Method to estimate solutions to differential equations.

1. Techniques of Integration
   1. Substitution
   2. Integration by parts
   3. Products and powers of trigonometric functions
   4. Partial Fractions
   5. Trigonometric substitution
   6. Rationalizing substitutions (optional)
   7. Numerical integration

1. Trapezoid rule
2. Midpoint rule
3. Simpson’s rule
4. Error bounds (optional)
   1. Improper integrals
5. Applications of the Integral
   1. Area between curves
   2. Volumes of solids
   3. Work
   4. Centroids or centers of mass
   5. Arc length
   6. At least 1 of the following:
      1. Hydrostatic force
      2. Average value of a function
      3. Economics
      4. Probability
6. Sequences and Series
   1. Convergence/divergence of infinite sequences
   2. Convergence/divergence of infinite series

1. Divergence test
2. Integral test
3. Comparison test
4. Limit comparison test
5. Alternating series test
6. Ratio test
7. Root test
   1. Estimate infinite alternating series
   2. Absolute and conditional convergence
   3. Power series

1. Radius and interval of convergence
2. Integration and differentiation
3. Taylor and Maclaurin series
4. Binomial series (optional)
   1. Parametric Equations and Polar Coordinates
      1. Slopes of parametric curves
      2. Arc length of parametric curves
      3. Slopes of polar curves
      4. Areas of polar curves
      5. Conic sections (optional)
   2. Differential Equations
      1. Separable (optional)
      2. Slope fields (optional)
      3. Euler’s method (optional)

MAT 231HC - Calculus II: Honors

4 Credits, 4 Contact Hours
4 lecture periods 0 lab periods

Continuation of MAT 220 . Includes techniques and applications of integration, numerical integration, improper integrals, sequences, infinite series, polar coordinates, parametric equations, and other related topics. Also includes additional Honors  content.

Prerequisite(s): Within the last three years: MAT 220  with a C or better.
Information: Must qualify for Honors program. Instructor or advisor/counselor approval may be required before registering for this course. Honors Content may include: Intensive theoretical-based and/or application- based projects using highest standards and best practices for the discipline. Also may include team problem solving projects in formats appropriate for the discipline with results presented in class or to a wider audience.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Evaluate indefinite and definite integrals using exact and approximation techniques.
2. Use integrals in various applications.
3. Determine convergence of infinite series.

1. Use definite integrals to calculate areas between curves, volumes of solids, work, centroids of lamina or centers of mass and some of the following applications: arc length, hydrostatic force, average value of a function, economics, or probability.
2. Calculate definite and indefinite integrals of various combinations of algebraic and transcendental functions, including powers and products of trigonometric functions, using integration by parts, U-substitution, partial fractions, and some of the following: trigonometric substitutions, rationalizing substitutions, and integral tables.
3. Estimate definite integrals using techniques such as left hand, right hand, trapezoid, midpoint, and Simpson’s rules.
4. Determine convergence or divergence of various forms of improper integrals, and in the cause of convergence, calculate the exact value or estimate the value of the integral as appropriate.
5. Determine if an infinite sequence is convergent or divergent.
6. Determine convergence (or divergence) of infinite series using the divergence test, integral test, comparison test, limit comparison test, alternating series, test, and ratio test.
7. Estimate the error associate with a partial sum approximation of a convergent infinite series using tests such as integral test, alternating series test, and/or comparison test.
8. Determine if a series converges absolutely or conditionally.
9. Determine radii of convergence and intervals of convergence of power series.
10. Find the power series representation for a given function by integrating or differentiating existing power series.
11. Determine Taylor and Maclaurin series using the definition.
12. Apply integration techniques to solve separable differential equations.
13. Determine slopes and arc length of two dimensional curves modeled with parametric equations.

Optional Objectives:

14. Use rationalizing substitutions to calculate indefinite integrals and exact values of definite integrals.

15. Generate the equation of a conic section given a graph, or sketch a graph given an equation.

16. Calculate error bounds for the numerical integration techniques.

17. Generate the binomial series expansion for appropriate functions.

18. Apply integration techniques to solve separable differential equations.

19. Use slope fields and/or Euler’s Method to estimate solutions to differential equations.

1. Techniques of Integration
   1. Substitution
   2. Integration by parts
   3. Products of powers of trigonometric functions
   4. Partial fractions
   5. Trigonometric substitution
   6. Rationalizing substitutions (optional)
   7. Numerical integration
      1. Trapezoid rule
      2. Midpoint rule
      3. Simpson’s rule
      4. Error bounds (optional)
   8. Improper integrals
2. Applications of the Integral
   1. Area between curves
   2. Volumes of solids
   3. Work
   4. Centroids or centers of mass
   5. Arc length
   6. At least 1 of the following:
      1. Hydrostatic force
      2. Average value of a function
      3. Economics
      4. Probability  
3. Sequences and Series
   1. Convergence/divergence of infinite sequences
   2. Convergence/divergence of infinite series
      1. Divergence test
      2. Integral test
      3. Comparison test
      4. Limit comparison test
      5. Alternating series test
      6. Ratio test
      7. Root test
   3. Estimate infinite series
   4. Absolute and conditional convergence
   5. Power series
      1. Radius and interval of convergence
      2. Integration and differentiation
      3. Taylor and Maclaurin series
      4. Binomial series (optional)
4. Parametric Equations and Polar Coordinates
   1. Slopes of parametric curves
   2. Arc length of parametric curves
   3. Slopes of polar curves
   4. Areas of polar curves
   5. Conic sections (optional)
5. Differential Equations
   1. Separable (optional)
   2. Slope fields (optional)
   3. Euler’s method (optional)

MAT 241 - Calculus III [SUN# MAT 2241]

4 Credits, 4 Contact Hours
4 lecture periods 0 lab periods

Continuation of MAT 231 . Includes vectors in two and three dimensions, vector-valued functions, differentiation and integration of multivariable functions, and calculus of vector fields.

Prerequisite(s): Within the last three years: MAT 231  with a grade of C or better.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

2.   Use partial derivatives to analyze rates of change of multivariable functions in a variety of contexts.

3.   Evaluate double and triple integrals of multivariable functions in a variety of coordinate systems.

4.   Evaluate line and surface integrals in vector fields using a variety of theorems and techniques.

2.   Determine equations of lines and planes in space, and identify and classify quadric surfaces.

3.   Evaluate limits, derivatives and integrals of vector-valued functions; analyze motion along a curve; and calculate the unit tangent vector, the unit normal vector, and the curvature.

4.   Evaluate limits, determine continuity, and calculate partial derivatives of multivariable functions; apply the chain rule and use implicit differentiation; calculate directional derivatives and gradient vectors; find equations of tangent planes; determine extrema and saddle points; and use Lagrange multipliers to find constrained maximum and minimum.

5.   Evaluate double integrals in rectangular and polar coordinates; convert between rectangular, cylindrical, and spherical coordinates; evaluate triple integrals in rectangular, cylindrical, and spherical coordinates; and use double and triple integrals to calculate volumes.

6.   Determine if a vector field is conservative and find a potential function; evaluate line integrals of real-valued functions and vector fields; evaluate surface integrals of real-valued functions and vector fields; and use Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem to evaluate line integrals and surface integrals.

A.         Vectors in the plane and in space

B.         Dot product and cross product

C.         Orthogonal projections

II.          Lines, Planes, and Surfaces

A.         Lines and planes in space

B.         Quadric surfaces

III.         Vector Valued Functions

A.         Graph of a vector valued function

B.         Parametrized curves

C.         Arc length

D.         Unit tangent vector, unit normal vector, and curvature

E.         Projectile motion

IV.        Functions of Two or More Variables

A.         Domain

B.         Limits and continuity

C.         Partial derivatives

D.         Differentiability

E.         Chain rule

F.         Implicit differentiation

G.         Linearization and differentials

H.         Directional derivatives, gradient vectors, and tangent planes

I.          Local extrema and saddle points

J.         Absolute extrema

K.         Lagrange multipliers

V.         Multiple Integrals

A.         Double integrals in rectangular and polar coordinates

B.         Cylindrical and spherical coordinates

C.         Triple integrals in rectangular, cylindrical, and spherical coordinates

D.         Applications

VI.        Calculus of Vector Fields

A.         Vector fields

B.         Line integrals

C.         Path independence, potential functions, and conservative vector fields

D.         Parametrized surfaces

E.         Surface area and surface integrals

F.         Divergence and curl

G.         Green’s Theorem

H.         Divergence Theorem and Stokes’ Theorem

I.          Applications

MAT 252 - Introduction to Linear Algebra

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Introduction to vector spaces and linear transformations. Includes systems of linear equations, vector spaces, inner product spaces, matrices, and linear transformations.

Prerequisite(s): Within the last three years: MAT 231  with a C or better.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Perform operations with matrices, calculate determinants, find eigenvalues and eigenvectors, and use matrices to solve systems of linear equations.
2. Define vector spaces and find a basis for a subspace.
3. Determine the matrix of a linear transformation with respect to a given basis, its kernel and range, and perform operations with linear transformations.

1. Use matrices to solve systems of linear equations; perform operations with matrices, calculate the inverse of a non-singular matrix, and calculate the determinant of a square matrix.
2. Define a vector space and perform vector operations; determine linear independence and find a spanning set of vectors.
3. Define subspaces of a vector space; find a basis for a subspace and determine its dimension; find the subspaces associated with a matrix, and determine the rank and nullity of a matrix.
4. Define a linear transformation and find the matrix associated with it; determine the kernel and range of a transformation; find the inverse of a transformation and the composition of two or more linear transformations; calculate the change of basis matrix.
5. Find the eigenvalues and eigenvectors of a matrix; determine similarity between two matrices; diagonalize a matrix.
6. Use the Gram-Schmidt process to obtain an orthogonal and an orthonormal basis; define an inner product space.
7. Use Linear Algebra in various scientific and mathematical applications.

A.Gaussian and Gauss-Jordan elimination

B.Matrix operations

C.Inverse and determinant of square matrices

D.Applications

II.Vector Spaces

A.Definition

B.Algebra of vectors

C.Linear independence

D.Spanning sets of vectors

III.Subspaces

A.Definition

B.Basis and dimension

C.Subspaces associated with a matrix

D.Rank and nullity of a matrix

IV.Linear Transformations

A.Definition

B.Kernel and range

C.Matrix of a linear transformation

D.Composition and inverses of linear transformations

E.Change of Basis

F.Applications

V.Eigenvalues and Eigenvectors

A.Definition

B.Similar matrices

C.Diagonalization of matrices

VI.Orthogonality and Inner Product Spaces

A.Orthogonal and orthonormal basis

B.Orthogonal projections

C.Gram-Schmidt process

D.Orthogonal diagonalization of symmetric matrices

E.Applications

F.Definition of inner product spaces  

VII.Applications

A.Matrices and systems of linear equations

B.Linear transformations

C.Orthogonality and inner product spaces

MAT 262 - Differential Equations [SUN# MAT 2262]

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Introduction to differential equations. Includes first order differential equations, higher order differential equations, systems of linear differential equations, Laplace transforms, and approximating methods. Also includes applications.

Prerequisite(s): Within the last three years: MAT 231  with a C or better.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Solve first order and higher order differential equations.
2. Solve linear systems of first order differential equations using matrices and eigenvalues.
3. Calculate the Laplace transform of a function, find the inverse transform, and use both to solve linear differential equations with constant coefficients.

1. Solve first order differential equations including separable, linear, and those solved by substitution techniques.
2. Solve higher order linear differential equations with constant and variable coefficients; find a particular solution using undetermined coefficients and variation of parameters; find power series solutions.
3. Solve linear systems of first order differential equations using matrices and eigenvalues.
4. Define and compute the Laplace transform of a function; find the inverse transform; use Laplace transforms to solve linear equations with constant coefficients.
5. Use graphical and numerical methods to interpret and approximate solutions to differential equations.
6. Use differential equations to model and interpret scientific and mathematical applications.

A.Separable

B.Linear

C.Exact (optional)

D.Solvable by substitution

E.Applications

II.Higher Order Linear Differential Equations

A.Wronskian and linear independence of functions

B.Reduction of Order

C.Homogeneous equations

D.Non-homogeneous equations

1.Undetermined coefficients

2.Variation of parameters

E.Cauchy-Euler equations (optional)

F.Power series solutions

G.Applications

III.Systems of Linear First Order Differential Equations

A.Method of eigenvalues

B.Applications

IV.Laplace Transforms

A.Definitions and existence

B.Properties

C.Inverse Transform

D.Applications to solutions of linear equations with constant coefficients

V.Approximating Methods

A.Numerical

B.Graphical

VI.Applications

1. First order
2. Higher order
3. Linear systems
4. Laplace Transforms

MAT 296 - Independent Studies in Mathematics

MDA 120 - Medical Assistant Profession

1. Describe the role of the medical assistant as a patient navigator and the concepts of effective professional communication.
2. Define the scope and standard of care for the medical assistant and describe legal implications including the Patient Bill of Rights and HIPAA.
3. Describe ethical considerations, contrasting ethics and morals and their effect on professional behavior

1. Define patient navigator and describe the role of the medical assistant as a patient navigator.
2. Define the concepts of effective communication, including self-boundaries and coping mechanisms.
3. Define the scope of practice and standard of care for medical assistants.
4. Describe and summarize the Patient Bill of Rights, HIPPA, licensure, and certification.
5. Identify federal laws applicable to medical assistants.
6. Define legal terms applicable to medical assistants.
7. Define ethics and morals; differentiating between personal and professional ethics; identifying the effect on professional behaviors.

1. Effective Communication
   1. Cognitive
      1. Principles of self-boundaries
      2. Patient navigator
      3. Role of the medical assistant as a patient navigator
      4. Behaviors related to professional communication:
         1. Assertive
         2. Aggressive
         3. Passive
      5. Adaptive vs. non-adaptive coping mechanisms
   2. Affective Concepts:
      1. Empathy
      2. Active listening
      3. Non-verbal communication
2. Legal Implications
   1. Cognitive
      1. Scope of practice vs. standards of care for medical assistants
      2. Provider and medical assistant roles in terms of standard care
      3. Health Insurance Portability & Accountability Act (HIPAA)
      4. Patient Bill of Rights
      5. Licensure and certification related to healthcare providers
      6. Criminal and civil law related to practicing medical assistant
      7. Define:
         1. Negligence
         2. Malpractice
         3. Statute of Limitations
         4. Good Samaritan Act (s)
         5. Uniform Anatomical Gift Act
         6. Living will/advanced directives
         7. Medical durable power of attorney
         8. Patient Self Determination Act (PSDA)
         9. Risk management
      8. Types of insurance:          
         1. Liability
         2. Professional (malpractice)
         3. Personal injury
      9. Identify:
         1. Health Information Technology for Economic and Clinical Health (HITECH) Act
         2. Genetic Information Nondiscrimination Act of 2008  (GINA)
         3. Americans with Disabilities Act Amendments Act (ADAAA)   
      10. Compliance with public health statutes
          1. Communicable diseases
          2. Abuse, neglect, and exploitation
          3. Wounds of violence
      11. Medical legal terms:
          1. informed consent
          2. Implied consent
          3. Expressed consent
          4. Patient incompetence
          5. Emancipated minor
          6. Mature minor
          7. Subpoena duces tecum
          8. Respondent superior
          9. Res ipsa loquitor
          10. Locum tenens
          11. Defendant-plaintiff
          12. Deposition
          13. Arbitration-mediation
          14. Good Samaritan laws
   2. Psychomotor
      1. State’s legal scope of practice for medical assistants
      2. HIPAA rules applied to:
         1. Privacy
         2. Release of information
      3. Accurate patient care documentation in the medical record
      4. Patient’s Bill of Rights applied to:
         1. Choice of treatment
         2. Consent for treatment
         3. Refusal of treatment
      5. Compliance reporting (based on public health statutes)
   3. Affective (e.g. Sensitivity to Patient Rights)
3. Ethical Consideration
   1. Cognitive
      1. Define:      
         1. Ethics
         2. Morals
      2. Personal vs. professional ethics
      3. Personal morals affect on professional performance
   2. Psychomotor
      1. Separation of personal vs. professional ethics plans (i.e. develop plans)
      2. Appropriate response(s) to ethical issues
   3. Affective
      1. Impact of personal ethics on healthcare delivery
      2. Impact of personal morals on healthcare delivery
4. Student Success Strategies
   1. College Resources
   2. Note taking, study skills, test taking techniques
   3. Time Management

MDA 121 - Medical Assistant Skills for Success

1. Explain the positive and negative aspects of all forms of verbal and non-verbal communication based on the surrounding circumstances, message content and delivery, and the receiver’s ability to fully comprehend information.
2. Develop a plan for completing a medical assistant externship utilizing skills learned and practices in the medical assistant program. 
3. Describe and implement the processes and procedures for creating a personal and professional portfolio, developing a résumé, performing an employment search, and completing an interview.

1. Concepts of Effective Communication
   1. Verbal communication
      1. Styles
      2. Types
   2. Oral communication using a sender-receiver process
   3. Non-verbal communication
   4. Respond to non-verbal communication
   5. Barriers to communication
      1. Language
      2. Developmental Stage
      3. Culture
      4. Perception
   6. Electronic Medical Record (EMR) use in medical practice
   7. Electronic technology in professional communication
   8. Professional correspondence utilizing electronic technology
   9. Accurate pronunciation and correct use of medical terminology
   10. Professional telephone techniques
   11. Telephone message documentation
   12. Feedback techniques
       1. Reflection
       2. Restatement
       3. Clarification
   13. Emergency plan for natural disaster or other emergency
   14. Community Resources
2. Legal Implications
   1. Medical assistant scope of practice and standards of care
   2. Licensure and certification
   3. Types of insurance
      1. Liability
      2. Professional (malpractice)
      3. Personal injury
   4. Worker’s rights and responsibilities
      1. Discrimination
      2. Harassment
      3. Violence in the workplace
      4. Employment issues
   5. Legal and illegal interview questions
   6. Compliance reporting:
      1. Unsafe activities
      2. Errors in patient care
      3. Conflicts in interest
      4. Incident reports
   7. Health Insurance Portability and Accountability Act (HIPAA)
   8. Patient Bill of Rights
3. Ethical Considerations
   1. Theories
      1. Maslow
      2. Erikson
      3. Kubler-Ross
   2. Response(s) to ethical issues
      1. Empathy
      2. Active listening
   3. Individual diversity
      1. Gender
      2. Race
      3. Religion
      4. Age
      5. Economic status
      6. Appearance
   4. Personal and professional ethics
   5. Coach patients
      1. Cultural diversity
      2. Developmental life stage
4. Safety
   1. Professional/Provider Cardio-Pulmonary Resuscitation (CPR)
   2. Documentation of professional/provider level (CPR)
   3. Occupational Health and Safety Administration (OSHA)
      1. Blood borne pathogen training
      2. Disposal of hazardous materials
5. Personal and Professional Advancement
   1. Focus and personal goals
      1. Physical health
      2. Emotional stability and support
      3. Financial sustainability
   2. Self-boundaries
   3. Positive cognitive statements
   4. Self-concept and self-image
   5. Communication for positive results
   6. Behaviors in professional communication
      1. Assertive
      2. Aggressive
      3. Passive
6. Externship Preparedness
   1. Expectations
   2. Roles and responsibilities
   3. Policies and procedures
   4. Follow up and evaluation
7. Employment
   1. Portfolio Development
      1. Academic
      2. Career
      3. Personal
   2. Fundamental writing skills
      1. Chronological résumé
      2. Cover letter
      3. Job application
      4. Interview note
   3. Resources
   4. Job search skills
   5. Interview techniques

MDA 122 - Medical Assistant Clinical Care

1. Identify pathologic conditions and perform prescribed diagnostic procedures to confirm presence or absence of disease.  
2. Describe and apply Occupational Safety and Health Administration (OSHA) guidelines and current Center for Disease Control (CDC) regulations to assure safety and protection for patients and providers in the delivery of patient care in an ambulatory environment.

1. Anatomy and Physiology
   1. Cognitive
      1. Pathology
         1. Signs
         2. Symptoms
         3. Etiology
      2. Diagnostic Measures
         1. Clinical Laboratory Improvement Amendments (CLIA)
            1. CLIA waived tests
            2. Normal and abnormal test results
         2. Quality assurance
         3. Quality control
      3. Critical thinking skills
         1. Patient assessment
         2. Patient care
   2. Psychomotor
      1. Treatment modalities
         1. Medication administration
         2. Classifications of medications
         3. Measurement systems
         4. Calculations
            1. Quality assurance
            2. Quality control
         5. Oral medications
         6. Parenteral injection technique
            1. Intradermal
            2. Intramuscular
            3. Subcutaneous
2. Infection Control
   1. Cognitive
      1. Pathogenic microorganisms
         1. Virus
         2. Bacteria
         3. Protozoa
         4. Fungi
         5. Rickettsia
      2. Growth and control of microorganisms
      3. Infection Control
         1. Infectious agent
         2. Reservoir
         3. Susceptible host
         4. Transmission
         5. Portals of entry
         6. Portals of exit
      4. Center for Disease Control (CDC) regulations
      5. Non-compliance with Center for Disease Control (CDC) regulations
      6. Standard precautions
      7. Personal Protective Equipment (PPE)
         1. Body fluids, secretions, and excretions
         2. Blood
         3. Non-intact skin
         4. Mucous membranes
   2. Psychomotor
      1. Bloodborne pathogen training
      2. Barrier/Personal Protective Equipment (PPE)
      3. Medical asepsis
         1. Hand washing
         2. Work areas
      4. Surgical asepsis
         1. Aseptic techniques
            1. Sanitization
            2. Disinfection
            3. Instrument preparation
         2. Autoclaving
      5. Biohazardous disposal
         1. Sharps
         2. Regulated washes
3. Effective Communication
   1. Cognitive
      1. Stages of grief
      2. Diversity among patients
   2. Psychomotor
      1. Feedback techniques
         1. Reflection
         2. Restatement
         3. Clarification
      2. Medical terminology communications
      3. Patient coaching
         1. Health maintenance
         2. Disease prevention
         3. Treatment plan
      4. Community resources
      5. Reporting information
         1. Relevant
         2. Concise
         3. Accurate
   3. Affective
      1. Patient coaching considerations
         1. Cultural diversity
         2. Developmental life stage
         3. Communication barriers
         4. Gender
         5. Race
         6. Religion
         7. Age
         8. Economic status
         9. Appearance
      2. Empathy
      3. Active listening
      4. Nonverbal communication
4. Legal Implications
   1. Cognitive
      1. Reporting
         1. Unsafe activities
         2. Conflicts of interest
         3. Incident reports
      2. Errors in patient care
   2. Affective
      1. Patient rights
      2. Patient responsibilities
5. Protective Practices
   1. Cognitive
      1. Safety signs
      2. Safety symbols
      3. Safety labels
      4. Safety techniques
         1. Blood
         2. Other body fluids
         3. Needle sticks
         4. Chemicals
      5. Healthcare setting evacuation
      6. Biological chemical material disposal
   2. Psychomotor
      1. Safety
         1. Eyewash equipment
         2. Fire extinguishers
         3. Sharps disposal containers
      2. Use proper body mechanics
      3. Unsafe working conditions

MDA 123 - Medical Assistant Clinical Procedures

3 Credits, 5 Contact Hours
2 lecture periods 3 lab periods

An integrative approach to learning and developing the clinical procedural skills required to work in an ambulatory care setting. Includes the collection and documentation of vital signs, patient history, patient assessment, and partnering with patients to provide them with resources to achieve and maintain health. Also includes Clinical Laboratory Improvement Amendment (CLIA) waived testing, safety in medication administration, principles of nutrition, and legal and ethical considerations.

Corequisite(s): MDA 122  
  

1. Complete a systematic patient assessment by collecting subjective information and performing diagnostic procedures within the scope of practice for a medical assistant.
2. Assist provider with performing a physical examination to determine patient diagnosis and subsequent plan of care.

1. Anatomy and Physiology
   1. Cognitive
      1. Critical thinking
         1. Patient assessment
         2. Patient care
         3. Patient concerns regarding procedures
      2. Diagnostic Procedures
         1. Electrocardiography
         2. Venipuncture
         3. Capillary puncture
         4. Pulmonary function testing
      3. Medication administration
         1. Oral medications
         2. Parenteral medication
         3. Injection sites
         4. Classifications
            1. Indications for use
            2. Desired affects, side effects, adverse reactions
         5. Rules of medication administration
            1. Right patient
            2. Right medication
            3. Right dosage
            4. Right route
            5. Right time
            6. Right technique
            7. Right documentation
   2. Psychomotor
      1. Vital signs
         1. Blood pressure
         2. Temperature
         3. Pulse
         4. Respirations
         5. Weight
         6. Height (infant length)
         7. Head circumference (infant)
         8. Pulse oximetry  
      2. Patient exam
         1. Patient positioning 
         2. Procedures and treatments
         3. Supplies
      3. Clinical Laboratory Improvement Amendments (CLIA) waived testing
         1. Specimen collection
         2. Quality control measures
         3. CLIA waived tests
            1. Hematology
            2. Chemistry
            3. Urinalysis
            4. Immunology
            5. Microbiology
      4. First Aid procedures
         1. Bleeding
         2. Diabetic coma
         3. Insulin shock
         4. Fractures
         5. Seizures
         6. Shock
         7. Syncope
      5. Provider/Professional level CPR

1. Infection Control
   1. Cognitive
      1. Occupational Safety and Health Administration (OSHA)
         1. Standard precautions
         2. Bloodborne Pathogens Standard
         3. Personal Protective Equipment (PPE)
            1. Body fluids
            2. Secretions and excretions
            3. Blood
            4. Non-intact skin and mucous membranes
      2. Center for Disease Control (CDC) regulations
      3. Asepsis
         1. Medical
         2. Surgical
   2. Psychomotor
      1. Sterilization process
         1. Sanitization
         2. Disinfection
      2. Sterilization Procedures
         1. Sterile field
         2. Wound care
         3. Dressing change
      3. Bio hazardous waste disposal
         1. Sharps
         2. Regulated wastes
2. Nutrition
   1. Cognitive
      1. Dietary nutrients
         1. Carbohydrates
         2. Fat
         3. Protein
         4. Minerals
         5. Electrolytes
         6. Vitamins
         7. Fiber
         8. Water
      2. Dietary supplements
      3. Special dietary needs
         1. Weight control
         2. Diabetes
         3. Cardiovascular disease
         4. Hypertension
         5. Cancer
         6. Lactose sensitivity
         7. Gluten-free
         8. Food allergies
   2. Psychomotor
      1. Patient education
      2. Patient concerns for dietary change
3. Concepts of Effective Communication
   1. Cognitive
      1. Patient coaching
         1. Health maintenance
         2. Disease prevention
         3. Treatment plan compliance
         4. Community resources
      2. Subjective information
      3. Objective information
   2. Psychomotor
      1. Feedback techniques
         1. Reflection
         2. Restatement
         3. Clarification
      2. Patient Coaching
         1. Health maintenance
         2. Disease prevention
         3. Treatment plan
      3. Use of medical terminology
      4. Relevant, accurate, and concise reporting
         1. Laboratory flow charts
         2. Growth chart
         3. Accuracy of test results
   3. Affective
      1. Patient considerations
         1. Empathy
            1. Active listening
            2. Non-verbal communication
         2. Concerns regarding medical necessity
      2. Patient’s rights
4. Legal Implications
   1. Cognitive
      1. Error in patient care
         1. Protocol
         2. Procedure
         3. Incident reports
   2. Psychomotor
      1. Medical record documentation
         1. Relevance
         2. Concise
      2. Illegal activity reporting
5. Ethical Considerations
   1. Emergency situations
      1. Physical impact
      2. Emotional effect
   2. Significance of patient ethics and morals
   3. Procedural concerns
6. Protective Practices
   1. Cognitive
      1. Safety techniques post exposure to:
         1. Blood
         2. Other body fluids
         3. Needle sticks
         4. Chemicals
      2. Fire Safety
      3. Evacuation of a healthcare setting
      4. Disposal of biological chemical materials
      5. Body mechanisms and ergonomics
      6. Emergency plans for disasters or other emergencies
   2. Psychomotor
      1. Use proper body mechanics
      2. Mock exposure event
         1. Procedure
         2. Documentation
      3. Unsafe environmental working conditions
   3. Affective
      1. Stress during an emergency situation
      2. Self-awareness in response to emergency situations

MDA 124 - Medical Terminology for Health Care Workers

1. Describe the guidelines for combining medical root terms with prefixes, suffixes, abbreviations and symbols to build and analyze medical terminology.
2. Identify the structure, function, and procedures for accuracy in diagnosing pathology using medical terminology.

1. Anatomy and Physiology
   1. Cognitive
      1. Human body’s structural organization
      2. Body system
         1. Planes
         2. Directional terms
         3. Quadrants
         4. Body Cavities
2. Concepts of Effective Communication
   1. Cognitive
      1. Elements of fundamental writing skills
      2. Applications of electronic technology in professional communication
      3. Medical Terms
         1. Labeling the word parts
         2. Abbreviations related to all body systems
   2. Psychomotor
      1. Nonverbal communication responses
      2. Medical terminology (to communicate information with providers/patients)
         1. Correct usage
         2. Pronounced accurately
      3. Reporting concise, accurate, relevant information
   3. Affective (respect for individual diversity)
      1. Gender
      2. Race
      3. Religion
      4. Age
      5. Economic Status
      6. Appearance
3. Administrative Functions
   1. Electronic medical records (EMR)
   2. Practice management system
4. Legal Implications (in terms of standard of care)
   1. Provider roles

MDA 125 - Orientation to ICD-10-CM and CPT Coding

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

Orientation to the International Classification of Diseases -10th Edition (ICD-10) coding classification system. Includes terminology, principles and components of the ICD-10 system, codes for diseases and conditions, coding from health records, and coding for the highest specificity.

Recommendation: Completion of MDA 121  and MDA 124  before enrolling in this course. Also a minimum of 25 words per minute word processing skills. If any recommended course is taken, see a financial aid or Veteran’s Affairs advisor to determine funding eligibility as appropriate.
  

1.  Assign accurate ICD-10-CM codes for diagnosis of diseases and conditions following governmentally approved guidelines, modifiers and conventions.

2.  Identify and select CPT Category I and HCPCS Level II codes for procedures and services performed and determined medically necessary based on evidence-based clinical standards of care.

3.  Abide by established laws and display a high level of personal and professional standards.

1. General Guidelines
2. Chapter Specific Guidelines
3. Diagnostic Statement
   1. Main Terms
   2. Modifying Terms
4. Alphabetic Index
   1. Main terms
   2. Nonessential modifiers
   3. Essential modifiers
   4. Sub terms
   5. Supplementary tables
5. Tabular List
   1. Conventions in Tabular List
      1. Placeholders
      2. Seven Character Codes
      3. Punctuation
      4. Instructional Notations
      5. Cross Reference Notes
      6. Relational Terms
   2. NEC and NOS Codes
6. Final ICD-10-CM code selection
7. Medical Necessity

1. Current Procedural Terminology (CPT) Coding
   1. CPT Coding
      1. Modifiers
      2. Conventions
   2. Alphabetic Index
      1. Procedure or Service
      2. Organ or Site
      3. Condition, Illness or Injury
      4. Synonym, Eponym or Abbreviation
   3. Tabular List
      1. Evaluation and Management
      2. Anesthesia
      3. Surgery
      4. Radiology
      5. Pathology and Laboratory
      6. Medicine
   4. Final CPT Code Selection
   5. Healthcare Common Procedure Coding System (HCPCS Level II)

1. Legal Implications
   1. Upcoding
   2. Downcoding
   3. HIPAA rules and privacy
   4. Release of information
   5. Integrity of the medical record
2. Ethical Considerations
   1. Professional Performance
      1. Ethics
      2. Morals
   2. Personal Values

MDA 127 - Administrative Procedures for Medical Assistants

1. Identify and demonstrate skills required for effective verbal, non-verbal, and written communications.
2. Describe scheduling methods and protocols.
3. Recognize and apply Health Insurance Portability and Accountability Act (HIPAA) regulations in a physician’s office.

1. Effective Communication Concepts
   1. Cognitive
      1. Styles and types of verbal communication
      2. Types of nonverbal communication
      3. Barriers to communication
      4. Techniques to overcome communication barriers
      5. Elements of oral communication using a sender-receiver process
      6. Elements of fundamental writing skills
   2. Psychomotor
      1. Feedback techniques to obtain patient information
         1. Reflection
         2. Restatement
         3. Clarification
      2. Respond to nonverbal communication
      3. Coaching patients regarding:
         1. Office policies
         2. Health maintenance
         3. Disease prevention
         4. Treatment plan
      4. Professional telephone techniques
      5. Document telephone messages accurately
      6. Compose professional correspondence utilizing electronic technology
   3. Affective
      1. Demonstrating respect for individual diversity including:
         1. Gender
         2. Race
         3. Religion
         4. Age
         5. Economic status
         6. Appearance
      2. Impact of personal ethics and morals in the delivery of healthcare
2. Administrative Functions
   1. Cognitive
      1. Different types of appointment scheduling methods
      2. Advantages and disadvantages of appointment systems
         1. Manual
         2. Electronic
      3. Critical information required for scheduling patient procedures
      4. Types of information contained in patient’s medical record
      5. Methods of organizing patient’s medical record
         1. Problem-Oriented Medical Record (POMR)
         2. Source-Oriented Medical Record (SOMR)
      6. Equipment and supplies needed for medical records
         1. Create
         2. Maintain
         3. Store
      7. Filing index rules
      8. Electronic Medical Records (EMR) vs. Practice Management System
      9. Purpose of Routine Maintenance of administrative and clinical equipment
      10. Steps involved in completing an inventory
      11. Importance of data back-up
      12. Meaningful use as it applies to EMR
   2. Psychomotor
      1. Manage appointment schedule using established priorities
      2. Schedule a patient procedure
      3. Create a patient’s medical record
      4. Organize a patient’s medical record
      5. File patient’s medical record
      6. Utilize an EMR
      7. Input patient data utilizing a practice management system
      8. Routine maintenance of administrative or clinical equipment
      9. Perform an inventory with documentation
      10. Display sensitivity when managing appointments
3. Legal Implications
   1. Psychomotor
      1. Locate State’s legal scope of practice for medical assistants
      2. Apply HIPAA rules to:
         1. Privacy
         2. Release of information
      3. Document patient care accurately in medical record
      4. Apply Patient’s Bill of Rights related to:
         1. Choice
         2. Consent
         3. Refusal of Treatment
      5. Protect integrity of medical record
   2. Record keeping
      1. Accurate documentation in patient’s medical record
      2. Retaining and destroying records
      3. Copying records
4. Ethical Considerations
   1. Separation of personal ethics vs. professional ethics
   2. Demonstrate appropriate response(s) to ethical issues
5. Protective Practices
   1. Cognitive
      1. Safety techniques in response to accidental exposure to:
         1. Blood
         2. Other body fluids
         3. Needle sticks
         4. Chemicals
      2. Fire safety issues in an ambulatory healthcare environment
      3. Fundamental principles for evacuation of a healthcare setting
      4. Purpose of Safety Data Sheets (SDS) in a healthcare setting
      5. Identify principles of:
         1. Body mechanics
         2. Ergonomics
   2. Psychomotor
      1. Compliance
         1. Safety signs
         2. Symbols
         3. Labels
      2. Evaluating and identifying work environment for unsafe working conditions

MDA 128 - Medical Billing and Insurance for Medical Assistants

1. Identify and understand the different types of medical insurance plans and guidelines associated with each plan.
2. Accurately complete and submit claims forms to assure reimbursement from third party payers.
3. Follow established and accepted guidelines for bookkeeping, accounting, and banking procedures.

1. Third Party Reimbursement
   1. Cognitive
      1. Types of third party insurance plans
         1. Government funded
            1. Medicare
            2. Medicaid
         2. Commercial
            1. HMO Managed Care
            2. Indemnity
      2. Insurance card information
   2. Psychomotor
      1. Process and documentation
         1. Eligibility
         2. Precertification
         3. Preauthorization
         4. Patient referrals
      2. Third party claim forms
         1. Completing a claim form
         2. Filing a claim
2. Concepts of Effective Communications
   1. Cognitive
      1. Patient financial obligations for services rendered
      2. Relevant information (concise and accurate)
   2. Psychomotor
      1. Accurate patient billing information
      2. Sensitivity when communicating with patients regarding third party requirements
      3. Professional interactions with third party representatives
   3. Affective
      1. Tactful behavior when communicating with medical providers regarding third party requirements
      2. Sensitivity when requesting payment for services rendered
      3. Discussing patient’s billing record professionally
3. Basic Practice Finances
   1. Cognitive
      1. Patient’s billing record information
      2. Bookkeeping terms:
         1. Charges
         2. Payments
         3. Accounts receivable
         4. Accounts payable
         5. Adjustments
      3. Banking related to the ambulatory care setting
      4. Bank deposits
   2. Psychomotor
      1. Posting accounts receivable to patient accounts
         1. Charges
         2. Payments
         3. Adjustments
      2. Adjustments made to patient accounts
         1. Non-sufficient funds (NSF) check
         2. Collection agency transaction
         3. Credit balance
         4. Third party
      3. Utilize an EMR
4. Legal Implications
   1. HIPAA rules
   2. Privacy
   3. Release of information
   4. Protect the integrity of the medical record

MDA 190A - Medical Assistant Front Office Externship

1 Credits, 5 Contact Hours
0 lecture periods 5 lab periods

Practicum in administrative medical assisting. Application of administrative duties, procedures, and knowledge derived from medical assisting courses.

Prerequisite(s): HCA 119 , MDA 120 , MDA 121 , MDA 124 , MDA 125 , MDA 127  and MDA 128 .
Information: Permission of the program director is required to enroll in this course.

1. Apply ethical guidelines and legal concepts to administrative practice.
2. Establish cooperative working relationships with health care team members.
3. Demonstrate effective communication techniques in a variety of situations.
4. Perform routine administrative tasks.
5. Maintain medical records.
6. Enter patient date into a computerized system.
7. Apply steps in filing an insurance claim utilizing Current Procedural Terminology and Internal.
8. Observe and participate in the financial operations.
9. Apply HIPAA (Health Insurance Portability and Accountability Act) requirements to administrative procedures and documentation.

         A.   Patient rights

         B.   Confidentiality

         C.   Informed consent      

         D.   Professional behavior

         E.   Federal and state laws

         F.   Medical records

         G.   Retaining and destroying records

         H.   Copying records

         I.    Release of information

II.       Working Relationships

         A.   Team concepts

         B.   Initiative and responsibility     

         C.   Time management and prioritizing

         D.   Problem solving techniques

III.      Communication Techniques

         A.   Patient and family considerations

               1.   Cultural diversity

               2.   Use of appropriate medical terminology

               3.   Verbal and nonverbal cues

         B.   Management of difficult situations

               1.   Impaired patients

               2.   Confused patients

               3.   Angry and emotionally stressed patients

         C.   Client service

IV.     Routine Administrative Tasks

         A.   Telephone management

         B.   Appointment scheduling

               1.   Methods

               2.   Protocol

               3.   Computerized scheduling

         C.   Process correspondence and mail

               1.   Manual

               2.   Electronic

         D.   Medical records

               1.   Identify forms

               2.   File records

               3.   Copy and FAX documents

V.      Enter Patient Data           

         A.   New patient

         B.   Add date

         C.   Change an existing file

VI.     Filing an Insurance Claim

         A.   Health Insurance Claim Form (HCFA-1500)

         B.   Steps in filing

         C.   Conclusion of process

VII.    Financial Operations

         A.   Processing insurance claims

         B.   Bookkeeping and banking

         C.   Billing and collections

VIII.    HIPAA (Health Insurance Portability and Accountability Act) Regulations

         A.   Procedures

         B.   Documentation

         C.   Practice

MDA 190B - Medical Assistant Back Office Externship

1 Credits, 5 Contact Hours
0 lecture periods 5 lab periods

Practicum in clinical medical assisting. Application of clinical skills, procedures, and knowledge derived from medical assisting courses.

Prerequisite(s): HCA 103 , HCA 119 , MDA 120 , MDA 121 , MDA 122 , MDA 123 , and MDA 124 .
Information: Permission of the program director is required to enroll in this course.

1. Apply ethical guidelines and legal concepts to clinical practice.
2. Establish cooperative working relationships with health care team members.
3. Demonstrate effective communication techniques within a variety of clinical situations.
4. Apply principles of standard precautions.
5. Obtain vital signs, height, weight, patient medical history and document accordingly.
6. Assist clinicians in performing specific clinical procedures.
7. Prepare and administer medications under the supervision of the clinician.
8. Collect and process specimens.
9. Obtain, prepare and mount standard electrocardiograms.
10. Recognize and respond to emergencies.
11. Apply HIPAA (Health Insurance Portability and Accountability Act) requirements in clinical procedures and documentation.

         A.   Patient rights

         B.   Confidentiality

II.      Informed consent

         A.   Professional behavior

         B.   Federal and state laws

         C.  Scope of practice

         D.  Documentation

III.     Working Relationships

         A.   Team concepts

         B.   Initiative and responsibility

         C.  Time management and prioritizing

         D.  Problem solving techniques

IV.     Communication Techniques

         A.   Patient and family considerations

               1.   Aware of cultural diversity

               2.   Use appropriate medical terminology

               3.   Verbal and nonverbal cues

         B.   Management of difficult situations

               1.   Impaired patients

               2.   Confused patients

               3.   Angry and emotionally stressed patients

V.      Standard Precautions

         A.   Personal protective equipment

         B.   Biohazard disposal

         C.  Correct handling of equipment

VI.     Collection of Patient Data

         A.   Vital signs

         B.   Height and weight

         C.  Patient history

         D.  Documentation

VII.    Assist with Specific Procedures

         A.   Preparation of treatment area and equipment

         B.   Preparation of patients

         C.  Procedures

               1.   Routine examinations

               2.   Minor surgeries

               3.   Other

         D.  Sterilize and process equipment and supplies

VIII.   Medications

         A.   Preparation

               1.   Classification, therapeutic effects, adverse reactions, and contraindications

               2.   Calculate dose correctly

               3.   Select equipment

               4.   Prepare dosage

         B.   Administration

               1.   Oral

               2.   Parenteral

         C.  Patient education

         D.  Documentation

IX.     Collect and Process Specimens

         A.   Collection

               1.   Routine phlebotomies

               2.   Hematology

               3.   Urinalysis

               4.   Pregnancy

               5.   Fecal occult blood

               6.   Glucose testing

               7.   Cultures

         B.   Specimen handling

         C.  Quality assurance

X.      Electrocardiography

         A.   Electrode placement

         B.   Lead selection

         C.  Mounting techniques

XI.     Emergency Responses

         A.   Activate emergency medical system

         B.   Manage telephone emergencies

         C.  Provide immediate care

         D.  Maintain emergency equipment and supplies

XII.    HIPAA (Health Insurance Portability and Accountability Act) Regulations

         A.   Procedures

         B.   Documentation

         C.  Practice

MLT 100 - Phlebotomy for Medical Laboratory Technology

MLT 100IN - Phlebotomy for Medical Laboratory Technology

1. Demonstrate good specimen collection technique while employment safety and HIPAA standards that apply to phlebotomy practice.
2. Define basic medical terms and codes related to phlebotomy and laboratory testing.
3. Identify phlebotomy-related vascular anatomy and cellular components.
4. Demonstrate appropriate use of equipment and collection tubes for obtaining blood specimens using venipuncture, capillary collection, and point of care instruments (POC).
5. Improve critical thinking and organizational skills by attending class, completing assignments, participating in problem solving and class discussions.

1. Blood Collection for Patient Care
   1. Role of phlebotomist in healthcare setting
   2. Policies and procedures
   3. Health Insurance Portability and Accountability regulations
   4. Ethical and legal issues
2. Quality Assurance Standards
   1. Regulatory agencies
   2. Standards and indicators
   3. Infection control
   4. Safety and Occupational Safety and Health Administration (OSHA)
   5. Personal wellness
3. Medical Terminology
   1. Key terms
   2. Abbreviations and codes
4. Anatomy
   1. Human vascular anatomy
   2. Identify veins and other blood vessels for blood collection
   3. Blood composition and formed elements
   4. Identify blood composition and formed elements
5. Blood Collection Procedures
   1. Supplies
   2. Equipment selection
      1. Venipuncture
      2. Capillary puncture
      3. Blood cultures
   3. Patient preparation and identification
   4. Vacuum tube additives
   5. Order of draw
   6. Proper specimen labeling
   7. Special consideration
   8. Therapeutic drug levels
   9. Specimens for transfusion processing
   10. Blood cultures
6. Variables
   1. Pre-analytical errors
   2. Restricted vascular access
   3. Contamination
   4. Failure to obtain specimen
   5. Special needs patients
   6. Infants and small children
   7. Problem sites
7. Computers and Specimen Processing
   1. Laboratory information systems
   2. Interfaces
   3. Aliquot preparation
   4. Delivery and storage
8. Collection of samples, performing Point of Care (POC) Testing
   1. Hemoglobin
   2. Glucose
   3. Coagulation
   4. Bleeding time
9. Alternate collection sites and procedures
   1. Butterfly collections – hand, wrist, small veins
   2. Adjusting a needle, failure to obtain specimen
   3. Problem or difficult patients, restricted vascular access

MLT 100LB - Phlebotomy for Medical Laboratory Technology Lab

MLT 199 - Introductory Co-op: Phlebotomy Lab Assisting

1. Employ good oral and written communication skills.
2. Apply techniques for managing time, stress, and energy for job efficiency. 
3. Create a resume and cover letter for use when applying for laboratory jobs.
4. Evaluate and practice established HIPAA privacy and safety practices in the laboratory

1. Laboratory Workplace Skills
   1. Culture, attitudes, and etiquette
   2. Safety
   3. Ethics
2. Communication Skills
   1. Importance in job success
   2. Developing oral  and listening skills
   3. Developing written skills
3. Time and Energy Management
   1. Identifying resources and their uses
   2. Techniques for managing job efficiency
   3. Prioritize workload
4. Managing Stress
   1. Characteristics and causes of stress
   2. Techniques for managing job stress
5. Career Information
   1. Review of career in field of study
   2. Sources of career information
   3. Uses of career information
   4. Career objectives and plans
6. Preparing for Employment
   1. Identifying varied job markets and selecting job markets appropriate to your career objectives and plans
   2. Aspects of presenting oneself for employment
      1. Job information
      2. Resume writing
      3. References
7. Principles, Theories, and Practices in the Career Field
   1. Application in the work situation
   2. Ongoing discussion
   3. Understanding through application
8. Problems in the Work Situation
   1. Problem types identified
   2. Ways of dealing with problems encountered – ongoing discussion each session

MLT 199WK - Introductory Co-op Work: Phlebotomy Lab Assisting

1. Apply principles, knowledge, and skills of patient identification, sample collections, and processing while improving team building skills learned in the classroom. 
2. Perform sixty-eight (68) clock hours of supervised clinical training in a laboratory setting, the majority which must be in an accredited laboratory.
3. Perform a minimum of one hundred (100) successful unaided blood collections, including dermal punctures and venipunctures.

1. Clinical Site Assigned
   1. On-Site Supervisor
   2. Student’s objectives and activities
   3. Expectations
      1. Professionalism, workplace rules
      2. 68 hours of clinical training
      3. 100 successful unaided blood collections
      4. Other fluid samples collected
2. Team Building Skills
3. Review Progress
   1. Student review of performance
   2. Job-site supervisor review of performance
      1. Hours completed
      2. Knowledge
         1. Blood collections completed
         2. Fluid samples collected
         3. Competency
      3. Review completion of student’s objectives/activities
      4. Self-Confidence

MLT 230 - Immunohematology and Immunology

MLT 230IN - Immunohematology and Immunology

5 Credits, 7 Contact Hours
4 lecture periods 3 lab periods

Introduction to basic immunology related to methods utilized in the clinical laboratory. Includes blood collection, blood components, immunology and complement, principles of serological testing, genetics, blood group systems, antiglobulin testing, gel and solid phase testing, and identification of unexpected antibodies. Also includes neonatal and obstetrical transfusion practice, pre-transfusion compatibility testing, International Society of Blood Transfusion (ISBT) product labeling, adverse effects of blood transfusions, positive direct antiglobulin test (DAT), immune hemolysis, quality assurance, transplantation, and molecular testing.

Prerequisite(s): With a grade of B or better: BIO 205IN , and MAT 151  or assessment intoMAT 189 .
Information: Students must be admitted to the Medical Laboratory Technician program or obtain consent of instructor before enrolling in this course.
  

2.   Identify, define, and distinguish the immune processes as they relate to immunohematology and the       characteristics of antigens and antibodies of the ABO, Rh, and other blood group systems.

3,   Obtain accurate results using a variety of methods on samples including ABO, Rh, DAT, IAT, crossmatch,       phenotype (and control selection), donor selection; and test for adverse effects of transfusions. 

4.   Identify units, reagents and samples using standard labeling practices.

5.   Improve critical thinking and organizational skills by attending class, completing assignments, and      participating in problem solving discussions.

1. Blood Collection
2. Blood and Blood Components
3. Immunology and Complement
4. Principles of Serological Testing in Immunohematology
5. Genetics
6. ABO and H Blood Group Systems
7. Rh Blood Group System
8. Other Blood Group Systems
9. Antiglobulin Testing
10. Gel and Solid Phase Testing
11. Identification of Unexpected Antibodies
12. Neonatal and Obstetrical Transfusion Practice
13. Pre-Transfusion Compatibility Testing
14. International Society of Blood Transfusion (ISBT) Product Labeling
15. Adverse Effects of Blood Transfusion
16. Investigation of the Positive Direct Antiglobulin Test (DAT) and Immune Hemolysis
17. Quality Assurance
18. Transplantation
19. Molecular Testing

MLT 230LB - Immunohematology and Immunology Lab

MLT 240 - Urinalysis and Body Fluids

2.00 Credits, 2.00 Contact Hours
2.00 lecture periods 0 lab periods

Introduction to the fundamental clinical lab techniques of urine and body fluids testing. Includes discussion of collection, physical and chemical examination, microscopic examination, body fluids, and individual fluids.

 

Prerequisite(s): With a grade of B or better: BIO 205IN  , and MAT 151   or assessment into MAT 189  .
Corequisite(s): MLT 240LB  .
Information: Students must be admitted to the Medical Laboratory Technician program or obtain consent of instructor before enrolling in this course.

MLT 240IN - Urinalysis and Body Fluids

3 Credits, 5 Contact Hours
2 lecture periods 3 lab periods

Introduction to the fundamental clinical lab techniques of urine and body fluids. Includes collection, physical and chemical examination, microscopic examination, body fIuids, and individual fluids.

Prerequisite(s): With a grade of B or better: BIO 205IN , and MAT 151  or assessment into MAT 189 .
Information: Students must be admitted to the Medical Laboratory Technician program or obtain consent of instructor before enrolling in this course. IN is the integrated version of the course with the lecture and lab taught simultaneously.
  

3.   Use the examination of samples to determine the presence of normal and abnormal   constituents/composition of urine and selected body fluids, and evaluate their clinical significance. 
4.   Assess samples for proper collection and perform analysis of urine, fecal, and body fluid samples, including    use and calculations for hemocytometer counting chamber.
5.   Evaluate and interpret laboratory test outcomes and correlate test results with patient condition(s). 
6.   Improve critical thinking and organizational skills by attending class, completing assignments, and participating in problem solving discussions.

         A.   Random

         B.   Timed

         C.   Clean catch

         D.   Midstream

         E.   Catheterization

         F.   Suprapubic aspirate

II.       Anatomical Areas of the Kidney and the Physiologic Function of Each 

III.      Appropriate Specimen Handling

         A.   Preservatives for timed urine specimens

         B.   Chemical changes preservatives may cause

         C.   Procedures for obtaining optimal results

              1.   Renal disease

              2.   Glucose tolerance

              3.   Pregnancy test

              4.   Quantitative creatinine or urea

              5.   Fecal analysis

IV.     Urinalysis Results

         A.   Microscopic components of normal and abnormal urine samples

         B.   Significance of each

V.      Diagnostic Testing of Other Body Fluids

         A.   Normal presentation

         B.   Indications for collection

         C.   Collection methods

         D.   Testing methods

         E.   Interpretation of results

         F.   Significance in diagnosis of disease states

         G.   Body fluids

               1.   Cerebrospinal

               2.   Synovial

               3.   Pleural

               4.   Pericardial

               5.   Peritoneal

               6.   Amniotic

               7.   Seminal

               8.   Vaginal

               9.   Gastric

               10.  Saliva

VI.     Urine Collection

         A.   Specimen methods of collection

               1.   Collection and testing random urine specimen

               2.   Collection and testing midstream clean catch specimen

               3.   24-Hour (timed) specimen collection procedure

               4.   Clean catch specimen collection: male/female

         B.   Specimen rejection

               1.   Contaminated specimens

               2.   Mislabeled

               3.   Nonmatching requisition forms

               4.   Unpreserved

               5.   Improperly transported

VII.    Collection and Use of Specimens with Appropriate Preservatives

         A.   Advantages and disadvantages

               1.   Refrigerated specimen

               2.   Sodium fluoride

               3.   Light gray C&S tube

               4.   Yellow UA plus tube

         B.   Physical and chemical changes in urine specimen

               1.   Unrefrigerated urine

               2.   Unpreserved urine

               3.   Effects of bacterial growth on color, clarity, and chemistry results

VIII.    Calculations Using Results Obtained from Testing

         A.   Glomerular filtration rate

         B.   Creatinine clearance

         C.   Osmotic gap

         D.   Hemocytometer (body fluids)

IX.     Physical and Chemical Examination of Urine

         A.   Evaluation of color and clarity on urine specimens

         B.   Urine concentration

               1.   Osmolality (osmometer)

               2.   Specific gravity (refractometer)

               3.   Ionic strength (reagent dipstick)

         C.   Reagent dipstick chemistry analysis of urine

               1.   pH

               2.   Protein

               3.   Glucose

               4.   Bilirubin

               5.   Ketones

               6.   Nitrite

               7.   Blood

               8.   Leukocytes

               9.   Urobilinogen

               10.  Specific gravity

               11.  Ascorbic acid

         D,   Sources of error

               1.   Proper reagent dipstick technique

               2.   Adulterated specimens

               3.   Interfering substances

               4.   Confirmatory tests

                     a.   Clinitest

                     b.   Ictotest

                     c.   Refractometer

               5.   Correlating chemistry and microscopic results

         E.   Microscopic examination of urine

               1.   Standardized microscopic examination

                     a.   KOVA standard urinalysis system

                     b.   Non-standard conical tube system

               2.   Formed elements in urine sediment

                     a.   Red blood cells

                     b.   White blood cells

                     c.   Renal tubular epithelial cells

                     d.   Transitional epithelial cells

                     e.   Casts

                     f.    Crystals

                     g.   Bacteria

                     h.   Sperm

                     i.    Mucous

                     j.    Artifacts

                     k.   Oval fat bodies

                     l.    Eosinophils

X.      Gross Evaluation Including Color, Clarity and Rejection Criteria on Body Fluids

         A.   Synovial

         B.   Pleural

         C.   Pericardial

         D.   Peritoneal

         E.   Amniotic

         F.   Seminal

         G.   Vaginal

         H.   Gastric

XI.     Calculation of Number of Cells in a Variety of Body Fluids Using Dilution Factors and Hemocytometer Counts 

         A.   Origin

         B.   Indications for collection

         C.   Procedures for laboratory evaluation

         D.   Interpretation and diagnosis

XII.    Cell Differentiations, Morphology Evaluation, Analyte Quantitation, Pregnancy or Special Testing on  a Variety of Body Fluids 

MLT 240LB - Urinalysis and Body Fluids Lab

MLT 250 - Clinical Microbiology

MLT 250IN - Clinical Microbiology

5 Credits, 9 Contact Hours
3 lecture periods 6 lab periods

Introduction to the structure, identification, and control of bacteria. Includes categories and classification of bacteria, ecology and spread of bacteria, pathogenesis of bacterial infections, clinical bacteriology methodology, various organisms, clinically significant anaerobic bacteria, methods in antimicrobial testing, mycobacteria, viruses and other microorganisms, and local disease processes.

Prerequisite(s): With a grade of B or better: BIO 205IN , and MAT 151  or assessment into MAT 189 .
Information: Students must be admitted to the Medical Laboratory Technician program or obtain consent of instructor before enrolling in this course. IN is the integrated version of the course with the lecture and lab taught simultaneously.
  

2.   Employ basic techniques used in bacteriology, including proper operation of the compound microscope,       aseptic handling of bacteriology specimens, preparation and staining bacteriological smears, selection of       proper media, and performance of susceptibility procedures.

3.   Improve critical thinking and organizational skills by attending class, completing assignments, and      participating in problem solving discussions.

1. Introduction
   1. Role of the clinical microbiologist
   2. Factors impacting the current and future operation of the microbiology laboratory
   3. Basic bacteriology concepts
      1. Taxonomy
      2. Morphology
      3. Genetics
      4. Metabolism
   4. Host microorganism interactions
2. Clinical Bacteriology Methodology
   1. Specimen collection, transport, and processing
   2. Direct smear preparation and microscopic examination
   3. Laboratory cultivation of bacteria
   4. Control of microorganisms
      1. Sterilization
      2. Disinfection
      3. Antisepsis
   5. Quality assurance in the clinical bacteriology laboratory
3. Categories and Classification of Bacteria
4. Ecology and Spread of Bacteria
5. Pathogenesis of Bacterial Infections
6. Catalase Positive Gram Positive Cocci
   1. Staphylococcus
   2. Micrococcus
7. Catalase Negative Gram Positive Cocci
   1. Streptococcus
   2. Streptococcus-like bacteria
8. Gram Negative Cocci
   1. Neisseria
   2. Moraxella
9. Enterobacteriaceae
   1. Clinical significant tribes and genera
   2. Proteeae
   3. Salmonella
   4. Shigella
   5. Citrobactereae
   6. Eschericheae
   7. Klebsiellae
   8. Yersiniae
10. Vibrionaceae
    1. Characteristics of the genus
    2. Vibrio cholerae
    3. Other vibrios
11. Campylobacter and Related Taxa
    1. Enteric campylobacters
    2. Other clinically significant campylobacters
    3. Arcobacter, helicobacter, and flexispira
12. Nonfermentative Gram Negative Bacilli
    1. Pseudomonads
    2. Acinetobacter
    3. Alcaligenes
13. Hemophilus
14. Miscellaneous Gram Negative Bacilli
    1. Gardnerella
    2. Legionella
    3. Bordetella
    4. Francisella
    5. Pasteurella
    6. Brucella
15. Aerobic Gram Positive, Non-Sporeforming Bacilli
    1. Corynebacterium
    2. Listeria
    3. Lactobacilli
16. Aerobic Spore-Forming Gram Positive Bacilli
    1. Bacillus anthrax
    2. Bacillus cereus
17. Clinically Significant Anaerobic Bacteria
    1. Collection and transport of specimens
    2. Procedures for isolation and characterization of anaerobes
    3. Clostridium genus
    4. Anaerobic gram negative bacilli
    5. Anaerobic gram positive cocci
18. Spirochetes
    1. Treponema
    2. Leptospira
    3. Borrelia
19. Methods in Antimicrobial Testing
    1. Principles and procedures
    2. Quality control
    3. Major classes of antibiotics and their mode of action
    4. Safety precautions
20. Mycobacteria
    1. Morphology and staining characteristics
    2. Pathogenic species
    3. Culture methods
21. Viruses and Other Microorganisms
    1. Viruses (e.g. cytomegalovirus, herpes simplex, influenza, varicella-zoster)
    2. Other microorganisms (e.g. chlamydia and mycoplasma)
22. Local Disease Processes
    1. Urinary tract
    2. Normally sterile body fluids
    3. Respiratory tract
    4. Genital tract
    5. Skin, soft tissues, joints, bone
    6. Intestinal disease
    7. Central nervous system
    8. Eye

MLT 250LB - Clinical Microbiology Lab

MLT 265 - Parasitology and Immunology/Serology

MLT 265IN - Parasitology and Immunology/Serology

3 Credits, 5 Contact Hours
2 lecture periods 3 lab periods

Introduction to the basics of mycology and parasitology host relationships and their effects. Includes fungi, medical parasitology, specimen collection, techniques for examination, special techniques, other specimens, detection and diagnosis of parasitic infections, clinically important parasites, and immunology and serological testing.

Prerequisite(s): With a grade of B or better: BIO 205IN  and MAT 151  or assessment into MAT 189 .
Information: Students must be admitted to the Medical Laboratory Technician program or obtain consent of instructor before enrolling in this course. IN is the integrated version of the course with the lecture and lab taught simultaneously.
  

2.  Compare and contrast adaptive and innate immunity; immunogenicity; and the immune response in regard  to antibodies, antigens, complements, major histocompatibility complex (MHC), and disease states, including autoimmunity, immunodeficiency, hypersensitivity, various viral and bacterial infections, and  transplant and tumor immunology.

3.  Describe and interpret serologic tests including dilutions, titers, agglutination, precipitation, labeled and unlabeled immunoassays, molecular assays, and flow cytometry.

4.  Identify and differentiate common pathogenic; opportunistic; and contaminating fungal elements, including growth requirements, key biochemical tests, and associated disease states.

5.  Discuss the life cycle, hosts, infective and diagnostic states, morphology, pathology, and epidemiology of common parasitic agents.

6.  Discuss specimen types, collection methods, specimen preservation and preparation, staining, and interfering substances when identifying fungal and parasitic organisms.

7.  Perform (when available) and interpret serologic tests, including dilutions, titers, agglutination, precipitation, labeled and unlabeled immunoassays, molecular assays, and flow cytometry.

8.  Apply concepts of adaptive and innate immunity; immunogenicity; and the immune response in regard to antibodies, antigens, complements, major histocompatibility complex (MHC), and disease states, including       autoimmunity, immunodeficiency, hypersensitivity, various viral and bacterial infections, and transplant and tumor immunology to test methods and results.

9.  Perform lactophenol cotton blue scotch tape and/or tease prep of several fungal isolates.

10.  Identify parasites from multiple fixed slide specimens.

11.  Improve critical thinking and organizational skills by attending class, completing assignments, and participating in problem solving discussions.

         A.   Yeast

               1.   Candida

               2.   Cryptococcus

               3.   Geotrichum

         B.   Dimorphic fungi

               1.   Blastomyces

               2.   Coccidiodes

               3.   Histoplasma

               4.   Sporothrix

         C.   Dermatophytes

               1.   Epidermophyton

               2,   Microsporum

               3.   Trichophyton

         D.   Zygomycetes

               1.   Absidia

               2.   Mucor

               3.   Rhizopus

         E.   Opportunistic molds/septate hyaline molds

               1.   Aspergillus

               2.   Penicillium

         F.   Specimen collection

         G.   Morphology and staining

II.       Introduction to Medical Parasitology

         A.   Parasites, parasitism, and host relations

         B.   Pathogenesis of parasitic infections

III.      Specimen Collection

IV.     Techniques for Stool Examination

V.      Special Techniques

VI.     Use of Other Specimens

         A.   Cellophane type swabs

         B.   Genital specimens

         C.   Urine

         D.   Sputum

         E.   Aspirates and biopsies

         F.   Sigmoidoscopy

         G.   Abscess material

         H.   Muscle biopsy

VII.    Detection and Diagnosis of Parasitic Infections

VIII.    Clinically Important Parasites

         A.   Protozoa

               1.   Amoeba

               2.   Flagellates

               3.   Sporozoa

               4.   Ciliophora

         B.   Helminths

               1.   Intestinal nematodes

               2,   Tissue and blood nematodes

               3.   Trematodes

               4.   Cestodes

IX.     Introduction to Immunology and Serological Testing

         A.   Immunology

         B.   Pre-analytical test principles

         C.   Specimen collection

         D.   Statistic and evaluation of test methods

X.      Serological Testing

         A.   Autoimmunity

               1.   Antinuclear antibodies (ANA), anti-deoxyribonucleic acid (DNA)

               2.   Thyroid antibodies

         B.   Infectious diseases

               1.   Viral

                     a.   Epstein-Barr virus (EBV) / infectious mononucleosis

                     b.   Hepatitis

      c.   Human immunodeficiency virus (HIV) / human t-lymphotropic virus (HTLV) / cytomegalovirus           (CMV)

                     d.   Rubella/measles

                     e.   Other viruses

               2.   Microbial

                     a.   Cold agglutinins

                     b.   Syphilis

                     c.   Other microorganisms

         C.   Nucleic acid testing

               1.   Western, southern blot testing

               2.   Polymerase chain reaction (PCR)

               3.   Other tests

XI.     Techniques for Stool Examination

XII.    Detection and Diagnosis of Parasitic Infections

         A.   Special Techniques

         B.   Slide Review of Clinically Important Parasites

               1.   Protozoa

                     a.   Amoeba

                     b.   Flagellates

                     c.   Sporozoa

                     d.   Ciliophora

               2.   Helminths

                     a.   Intestinal nematodes

                     b.   Tissue and blood nematodes

                     c.   Trematodes

                     d.   Cestodes

XIII.    Test Methods for Diagnosis

         A.   Immunology

         B.   Pre-analytical test principles

         C.   Specimen collection

         D.   Statistic and evaluation of test methods

XIV.   Serological Testing – as available

         A.   Labeled and unlabeled immunoassays

         B.   Heterogeneous and homogeneous sandwich methods

               1.   Cartridge testing

               2.   Kit testing

         C.   Rapid plasma reagin (RPR)

         D.   Rheumatoid factor (RF)

         E.   Mono

XV.    Serologic Dilutions

MLT 265LB - Parasitology and Immunology/Serology Lab

MLT 275 - Hematology

MLT 275IN - Hematology

5 Credits, 7 Contact Hours
4 lecture periods 3 lab periods

The study of red cells, white cells, and platelets looking at structure, formation, and the diseases associated with these cells. Includes types of blood cells, tests, normal and abnormal blood cells, maturation, disease states, hemoglobins, hemoglobinopathies, hemostasis, coagulation, fibrinolytic system, instrumentation, and quality controls and assurance.

Prerequisite(s): With a grade of B or better: BIO 205IN , and MAT 151  or assessment in MAT 189 .
Information: Students must be admitted to the Medical Laboratory Technician program or obtain consent of instructor before enrolling in this course. IN is the integrated version of the course with the lecture and lab taught simultaneously.
  

2.  Discuss RBC and the differences in hemoglobins including clinical significance, electrophoresis results, and red cell indices.

3.  Describe fibrinolytic and coagulation mechanisms, associated laboratory tests (including normal and abnormal findings) and relate these to specific disorders and therapies.

4.  Perform white blood cells (WBC) differentials in various stages of maturation, correlating results with known values (normal 5-10%, abn. 10-20%), inclusions and abnormalities of WBC and red blood cells (RBC) with associated clinical conditions and disease states.

5.  Perform red cell indices calculations from patient complete blood count (CBC) results as well as interpret other hematology test results, including hemoglobin electrophoresis and erythrocyte sedimentation rate (ESR) results.

6.  Perform and interpret the results (including normal and abnormal findings) of fibrinolytic and coagulation laboratory tests, including prothrombin time (PT/INR), activated partial thromboplastin time (APTT), and thrombin time (TT).

7.  Perform automated blood count and coagulation analysis, including application of Westgard Rules, instrument maintenance, quality control, and reporting of results.

8.  Improve critical thinking and organizations skills by attending class, completing lab assignments, and participate in classroom laboratory activities

         A.   Red - Erythrocytic maturation

         B.   White

               1.   Normal white cells in peripheral blood

                     a.   Neutrophils

                     b.   Lymphocytes

                     c.   Monocytes

                     d.   Eosinophils

                     e.   Basophils

               2.   Leukocytic maturation

         C.   Platelets - Thrombocytic maturation

II.       Associated Hematology Lab Tests

         A.   Normal values

         B.   Abnormal values

         C.   Associated clinical conditions

         D.   Associated disease states

III.      Normal and Abnormal Red Blood Cells and White Blood Cells

         A.   Characteristics used to differentiate between types of blood cells

         B.   Inclusions and abnormalities of blood cells and associated clinical conditions and disease states

IV.     Disease States

         A.   Anemias resulting from decreased cell production

         B.   Hemolytic anemias

         C.   Anemias secondary to blood loss

         D.   Inflammation and infection

         E.   Non-malignant WBC disorders of the white cells

         F.   Malignant disorders

V.      Hemoglobins

         A.   A

         B.   A2

         C.   F

         D.   S

         E.   C

         F.   D

         G.   Oxyhemoglobin

         H.   Carboxyhemoglobin

         I.    Methemoglobin

         J.   Sulfhemoglobin

VI.     Hemoglobinopathies

         A.   Sickle cell

         B.   Hemoglobin C

         C.   Hemoglobin SC

         D.   Hemoglobin E

         E.   Thalassemia

VII.    Facets of Hemostasis

         A.   Coagulation mechanisms and abnormalities

         B.   Fibrinolytic system

VIII.    Tests

         A.   Hemoglobin and hematocrit

         B.   Complete blood count (CBC) - indices calculations

         C.   Differential

         D.   Reticulocyte count

         E.   Erythrocyte sedimentation rate (ESR)

         F.   Hemoglobin electrophoresis

         G.   Prothrombin time (PT)/NR

         H.   Activated partial thromboplastic time (aPTT)

         I.    D-dimer

         J.   Thrombin time (TT)

         K.   Dilute Russell viper venom (DRVV)

IX.     Normal White Cells in Peripheral Blood

         A.   Neutrophils

         B.   Lymphocytes

         C.   Monocytes

         D.   Eosinophils

         E.   Basophils

X.      Normal and Abnormal White Blood Cells

         A.   Size

         B.   Shape

         C.   Coloration

         D.   Nuclear cytoplasm ratio

         E,   Chromatin

         F.   Leukocytic maturation

XI.     Normal and Abnormal Red Blood Cells

         A.   Size

         B.   Shape

         C.   Coloration

         D.   Distribution

         E.   Inclusion bodies

         F.   Erythrocytic maturation

XII.    Instrumentation

         A.   Hematology instruments: CBC analyzer, coagulation analyzer, point of care instruments

         B.   Patient sample acquisition on various hematology analyzers

         C.   Maintenance of hematology analyzers

         D.   Troubleshooting techniques

         E.   Theory and methodology of hematology analyzers

XIII.    Westgard Rules

         A.   Theory and application toward sample data

         B.   Identify trends and shifts

         C.   Troubleshooting techniques

XIV.   Quality Controls and Quality Assurance

MLT 275LB - Hematology Lab

MLT 285 - Clinical Chemistry

MLT 285IN - Clinical Chemistry

4 Credits, 6 Contact Hours
3 lecture periods 3 lab periods

Fundamentals of chemistry including theoretical application and performance in a clinical setting. Includes chemical substances, instruments, laboratory procedures, blood and urine chemistry abnormalities, and laboratory instrument computers and information systems.

Prerequisite(s): With a grade of B or better: BIO 205IN , and MAT 151  or assessment into MAT 189 .
Information: Students must be admitted to the Medical Laboratory Technician program and obtain consent of instructor before enrolling in this course. IN is the integrated version of the course with the lecture and lab taught simultaneously.
  

2.  Describe the general principles of electrophoresis and its role in disease diagnosis.

3.  State the theory behind commonly performed laboratory procedures and correlate results with disease states and clinical significance for a variety of biochemical substances such as electrolytes, enzymes, tumor markers, and pharmaceuticals.

4.  State the basic statistical calculations to analyze quality control data, and to determine reliability of clinical chemistry assays in the chemistry laboratory (Westgard Rules).

5.  Differentiate between and describe the interface between laboratory instrument computers and the laboratory information system. 

6.  Explain how to perform dilutions, titers, conversions, and other mathematical calculations for chemistry.