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Mathematics
	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 Course Learning Outcomes Solve multi-step linear equations including decimal and fractional coefficients and solutions. Graph linear equations using a variety of techniques. Solve linear systems using graphical and algebraic techniques. Factor polynomials using a variety of techniques. Performance Objectives: Express written statements algebraically. Solve linear equations. Solve linear inequalities and graph solutions on the number line. Graph linear equations. Solve systems of linear equations in two variables graphically and algebraically. Solve systems of linear equations in three variables algebraically. Apply the laws of exponents to expressions with integer exponents. Perform the basic operations on polynomials. Factor polynomials using multiple techniques. Optional Objectives: Simplify, add, subtract, multiply, and divide elementary rational expressions; solve rational equations that result in linear equations. Simplify numerical square-roots. Solve quadratic equations by factoring, taking square roots, and the quadratic formula Outline: Translate Written Statements Into Algebraic Expressions Linear Equations Simplify and solve algebraically Applications Linear Inequalities Solve Graph on the number line Applications Lines Cartesian coordinate system Midpoint of a line segment Slope and intercepts Equations Vertical and horizontal Standard form Slope-intercept form Point-slope form Parallel and perpendicular Systems of Linear Equations in Two Variables Graphing method Substitution method Elimination method Applications Systems of Linear Equations in Three Variables Substitution method Elimination method Applications Integer Exponents Laws of exponents Negative exponents Scientific notation Polynomials Terminology Operations including addition, subtraction, multiplication, and division (including long division) Factoring Polynomials Greatest common factor Factor by grouping Trinomials Difference of squares Difference/sum of cubes Optional Topics Elementary Rational Expressions Avoid division by zero Simplification Basic operations Solve rational equations which result in linear equations Applications Square Roots Evaluate Simplify Solve radical equations which result in linear equations Quadratic Equations Solve by factoring Solve by extracting square roots Solve by using quadratic formula
	MAT 092LB - Mathematics Success Support 1 Credits, 2 Contact Hours 0 lecture periods 2 lab periods Provides content and activities to support the conceptual learning of the topics in MAT 092 . Includes a foundation for success in future math or quantitative literacy courses. Corequisite(s): MAT 092 Course Learning Outcomes Apply Math 92 topics such as linear equations, systems of linear equations, and polynomials to real world problems Model effective math study skills. Participate collaboratively in activities. Demonstrate growth mindset behaviors. Identify characteristics, causes, and misconceptions related to math anxiety. Outline: Conceptual Understanding Previous and future concept alignment with current topic The ability to describe how concepts are related Application Problems Linear equations Systems of linear equations Polynomials Effective Math Study Skills Note taking skills Test taking skills Test review processes Collaborative Work Skills Active listening skills Nonverbal communication effects Team building exercises Develop a Growth Mindset Attributes of a growth vs fixed mindset Growth mindset behaviors Personal actions that reflect a growth mindset Strategies to Reduce Math and Test Anxiety Characteristics of anxiety Causes of anxiety Current research on anxiety (academic and test taking) 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): MAT 142RQ Information: This class is a supplement to MAT 142RQ for eligible pre-college ready students. Course Learning Outcomes Solve linear equations. Graph linear equations using a variety of techniques. Translate written Statement into algebraic expressions. Performance Objectives: Express written statements algebraically. Determine the percent increase and percent decrease between different values. Use percentage in applications. Solve linear equations. Graph linear equations. Apply the laws of exponents to expressions with integer exponents Use order of operations to simplify complex expressions Simplify expressions involving factorials Use a spreadsheet to do mathematical calculation. Solve equations using the n-th root. Identify and demonstrate effective math study techniques. Identify and demonstrate growth mindset behaviors. Identify and apply test-taking strategies. Outline: Translate Written Statements Into Algebraic Expressions Words including “and”, “or”, “at least”, “greater than”, “at most”, “less than” Percents Calculate Percent Increase Calculate Percent Decrease Calculate Sales Tax Linear Equations Simplify and solve algebraically Solve multiple step equations Applications Lines Cartesian coordinate system Slope and intercepts Equations Vertical and horizontal Standard form Slope-intercept form Point-slope form Exponents Laws of exponents Negative and rational exponents Scientific notation using technology Simplify Complex Expression Order of operations Fractions with exponents Distributive property Factorial Definition Simplify Technology Scientific calculator Spreadsheets such as Excel or Google Sheets Nth Roots Approximate with calculator Solve radical equations with n-th roots Effective Math Study Skills Not taking skills Test taking skills Growth Mindset Attributes of a growth vs fixed mindset 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. Course Learning Outcomes Solve linear rate of change application problems. Solve linear 2x2 system application problems. Solve absolute value inequalities involving linear equations. Solve rational equations with at least one factorable second-degree polynomial in the denominator. Solve radical equations that result in a quadratic equation solvable by factoring. Use the quadratic formula to solve quadratic equations that comes from an application problem. Performance Objectives: Find distance and midpoint between two points. Calculate slopes of lines, determine equations of lines and graph lines. Solve and graph linear inequalities and compound linear inequalities and graph in 1-D and 2-D. Solve systems of two and three linear equations and interpret geometrically. Solve absolute value equations and inequalities. Factor polynomials and solve related equations. Perform operations on square root expressions. 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. Perform operations on rational expressions, and solve rational equations that yield quadratic equations. Apply exponent rules to integer and rational exponents; convert between rational exponents and radical notation; and solve radical equations. Evaluate exponential and logarithmic functions, convert between exponential and logarithmic forms, and graph exponential functions. Define and identify functions, determine their domains, and use function notation. Outline: Distance and Midpoint Between Two Points Distance calculations Midpoint calculations Lines in the Plane Determine slopes of lines Write the equation of a line Given two points Given a point and a slope Give a point and a parallel or perpendicular line Graph lines D. Applications Inequalities Interval notation Compound inequalities Linear inequalities with two variables Applications Systems of Linear Equations Graphical representation of systems with two variables Elimination and substitution methods for two variables Geometrical interpretation of consistent, and inconsistent systems Applications for two variables Algebraic solution of systems with three variables Geometrical interpretation of consistent, inconsistent and independent systems of three variables Applications for three variables Absolute Value Solve equations Solve inequalities Polynomials Factoring Grouping Trinomials Substitution methods Difference of squares, and sum and difference of cubes Solve equations by factoring Square Roots and nth Roots Evaluate Simplify Perform operations Quadratic Equations and Functions Completing the square Quadratic formula and the discriminant Graphs of quadratic equations Applications Rational Expressions and Equations Reduce and build Basic operations (addition, subtraction, multiplication and division) Simplify complex rational expressions Solve rational equations including those involving quadratic equations Applications Radical and Exponential Expressions and Equations Laws of exponents for integer exponents Scientific notation Conversion between rational exponents and radical notation Laws of exponents for rational exponents Addition, subtraction, multiplication and division of radical expressions Rationalizing numerators and denominators Radical equations Applications Exponents and Logarithms Conversion between exponential and logarithmic forms Evaluation of exponential and logarithmic functions Graphing exponential functions Functions Definition Identification Notation 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. Course Learning Outcomes Solve absolute value inequalities involving linear equations. Solve rational equations with at least one factorable second-degree polynomial in the denominator. Solve radical equations that result in a quadratic equation solvable by factoring. Use the quadratic formula to solve quadratic equations that comes from an application problem. Performance Objectives: Define and identify a function, and use function notation. Solve compound inequalities in one variable and graph linear inequalities in two variables. Solve absolute value equations and inequalities. Simplify and perform operations on rational expressions, and solve rational equations. Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations. Solve quadratic equations by factoring, completing the square, and using the quadratic formula. Graph quadratic functions. Solve applications including literal equations. Convert between exponential and logarithmic equations, and evaluate exponential and logarithmic expressions. Graph elementary exponential functions. Optional Objectives 11. Factor polynomials using a variety of techniques. 12. Solve equations and applications involving variation. Outline: Functions Definition Identification Notation Inequalities Interval notation Compound Linear with two variables Applications Absolute Value Equations Inequalities Rational Expressions and Equations Domain of rational functions Addition, subtraction, multiplication, and division of rational expressions Complex rational expressions Rational equations including those that result in quadratic equations Applications including literal equations Radical Expressions and Equations Domain of radical functions Addition, subtraction, multiplication, and division of radical expressions Rationalization of denominators or numerators Conversion between radical notation and rational exponents Radical equations Distance formula Applications including literal equations Quadratic Equations and Functions Solve equations by factoring Complete the square Quadratic formula and interpretation of the discriminant Graph quadratic functions Applications including literal equations Exponential Functions and Logarithms Convert between exponential and logarithmic equations Evaluate exponential and logarithmic expressions Graph elementary exponential functions Optional Topics Factoring polynomials Greatest common factor Factor by grouping Trinomials Difference of squares Difference/sum of cubes Variation Direct Inverse 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): MAT 151RQ Information: This class is a supplement to MAT 151RQ for eligible pre-college ready students. Course Learning Outcomes Solve quadratic equations, rational equations that lead to linear or quadratic equations, and radical equations. Graph quadratic and elementary exponential functions. Solve problems involving real world applications. Model effective student success skills. Performance Objectives: Define and identify a function and use function notation. Solve compound inequalities in one variable and graph linear inequalities in two variables. Solve absolute value equations and inequalities. Simplify and perform operations on rational expressions and solve rational equations. Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations. Solve quadratic equations by factoring, completing the square, and using the quadratic formula. Graph quadratic functions. Solve applications including literal equations. Convert between exponential and logarithmic equations and evaluate exponential and logarithmic expressions. Graph elementary exponential functions. Model effective student success skills. Outline: Functions Definition Identification Notation Inequalities Interval notation Compound Applications Absolute Value Equations Inequalities Rational Expressions and Equations Domain of rational functions Addition, subtraction, multiplication, and division of rational expressions Complex rational expressions Rational equations including those that result in quadratic equations Applications including literal equations Radical Expressions and Equations Domain of radical functions Addition, subtraction, multiplication, and division of radical expressions Rationalization of denominators or numerators Conversion between radical notation and rational exponents Radical equations Distance formula Applications including literal equations Quadratic Equations and Functions Solve equations by factoring Complete the square Quadratic formula and interpretation of the discriminant Graph quadratic functions Applications including literal equations Exponential Functions and Logarithms Convert between exponential and logarithmic equations Evaluate exponential and logarithmic expressions Graph elementary exponential functions Model effective student success skills. 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 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Introduction to statistics. Includes the collection and presentation of data, statistical measures, algebra topics, Excel topics, and data analysis topics. Gen-Ed: Meets CTE - M&S. Course Learning Outcomes Analyze data including central tendencies and variation. Demonstrate knowledge of various data models including line of best fit and normal distribution. Describe and display data using a spreadsheet. Performance Objectives: Distinguish between populations and samples, compare different sampling methods, and describe possible sample biases. Represent data in various graphical forms including histograms, pie charts and tables, and interpret information presented in graphical form. 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. Determine measures of central tendency of univariate data including means, modes, and quartile ranges. Determine measures of variability of central tendency of univariate data including mean absolute deviation and standard deviation. Define bivariate data; determine the correlation coefficient for bivariate data, and discuss issues of correlation and causation. 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. Discuss the impact of outliers for both univariate and bivariate data. 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. Outline: Collection of Data Define population and sample Sampling techniques Sampling bias Presentation of Data Tables and graphs Interpretation of graphical data Excel Topics Review of basic operations Chart wizard Data analysis tool pack Measures of Central Tendency of Univariate Data Mean, median and mode Quartile ranges Variability of Central Tendency Mean absolute deviation Standard deviation Bivariate Data Measures Analysis of bivariate data Correlation coefficient Causation versus correlation Linear Regression Least squares regression Use regression line to estimate other points Discuss predictive abilities of regression Outliers Univariate Bivariate Normal Curve Normal model and standard normal model Z score Confidence intervals
	MAT 142 - Topics in College Mathematics [SUN# MAT 1142] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Survey of mathematical topics and applications. Includes application of probability, statistics, finance, and growth models. 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 required score on the Mathematics assessment exam. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Calculate and interpret empirical and theoretical probability, applications with counting, and expected value of events. Identify and apply concepts of data collection and basic descriptive statistics topics. Use the standard normal distribution to solve application problems with normally distributed data. Model data using linear and exponential equations. Solve financial problems related to simple interest, compound interest, annuities, and loans. Solve problems involving real world applications that include working with percentages, basic geometry, proportional reasoning, and dimensional analysis. Outline: Probability Principles of counting Multiplication principle Repetition Permutations Combinations Probability Model Experimental vs theoretical Sample Space Events Joint probabilities Dependent events Independent events Conditional Probability Expected value Statistics Data characteristics Measures of central tendency Measures of variation Percentiles Normal Distribution Linear Regression Linear regression model Correlation coefficient Collecting Data Sampling Method Experimental Research and Design Finance Interest Simple Compound Continuous Annuities Loans Modeling Growth Linear Applications Exponential Applications Problem Solving Multiple methods for approaching problem solving Dimensional Analysis Converting Simple units (English, metric, currency) and applications Converting Compound units – i.e. yd³, ft/sec etc. and applications Percentages Percent Increase Percent Decrease Applications of percentages Proportional reasoning Proportional relations Applications of proportional relations Geometry Perimeter, area, and volume formulas Basic shapes Irregular shapes Applications Optional Topics Logic Voting theory and apportionment Graph theory Mathematics and Art Fair division
	MAT 142RQ - Topics in College Mathematics 3.00 Credits, 3.00 Contact Hours 3.00 lecture periods 0 lab periods Survey of mathematical topics and applications. Includes application of probability, statistics, finance, and growth models. 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): MAT 092RQ Information: Corequisite version of MAT 142 . Gen-Ed: Meets AGEC – MATH; Meets CTE - M&S. Course Learning Outcomes Calculate and interpret empirical and theoretical probability, applications with counting, and expected value of events. Identify and apply concepts of data collection and basic descriptive statistics topics. Use the standard normal distribution to solve application problems with normally distributed data. Model data using linear and exponential equations. Solve financial problems related to simple interest, compound interest, annuities, and loans. Solve problems involving real world applications that include working with percentages, basic geometry, proportional reasoning, and dimensional analysis. Outline: Probability Principles of counting Multiplication principle Repetition Permutations Combinations Probability Model Experimental vs theoretical Sample Space Events Joint probabilities Dependent events Independent events Conditional Probability Expected value Statistics Data characteristics Measures of central tendency Measures of variation Percentiles Normal Distribution Linear Regression Linear regression model Correlation coefficient Collecting Data Sampling Method Experimental Research and Design Finance Interest Simple Compound Continuous Annuities Loans Modeling Growth Linear Applications Exponential Applications Problem Solving Multiple methods for approaching problem solving Dimensional Analysis Converting Simple units (English, metric, currency) and applications Converting Compound units – i.e. yd³, ft/sec etc. and applications Percentages Percent Increase Percent Decrease Applications of percentages Proportional reasoning Proportional relations Applications of proportional relations Geometry Perimeter, area, and volume formulas Basic shapes Irregular shapes Applications Optional Topics Logic Voting theory and apportionment Graph theory Mathematics and Art Fair division
	MAT 146 - Mathematics for Elementary Teachers I 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods An overview of mathematical concepts, principles and applications specifically for elementary teachers. Includes real number properties and patterns, arithmetic operations and algorithms in subsets of real numbers, alternative numbers systems, set theory, and algebraic reasoning and problem solving. Also includes the technology to teach mathematics. Prerequisite(s): Within the last three years: MAT 142 , MAT 151 , or higher with a grade of C or better, or mathematics assessment test into MAT 167 or higher. Information: It is not recommended that students enroll concurrently in MAT 146 and MAT 147 . Access to a scanner required for math classes taken online. Course Learning Outcomes Apply number properties, analyze number patterns to solve problems, and identify numbers as natural, whole, integer, prime, composite, rational, and irrational. Use appropriate arithmetic operations to solve problems with integers and rational numbers, and explain the algorithms used. Solve problems using number bases other than base 10. Describe and use set operations and Venn Diagrams. Use different strategies to solve problems using algebraic reasoning moving from concrete models or verbal descriptions to symbolic descriptions. Outline: Real Number Properties and Patterns Whole numbers Integers Rational numbers Irrational numbers Number theory Primes versus composite Factors and multiples Divisibility Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives Structured and guided practice Arithmetic Operations and Algorithms in Subsets of Real Numbers Conceptual understandings Interconnectedness Underlying structure Algorithms Traditional Nontraditional Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives Structured and guided practice Alternative Number Systems Binary Octal Hexadecimal Teaching tools and resource Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives Structured and guided practice Set Theory Set operations Venn Diagrams Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives Structured and guided practice Algebraic Reasoning and Problem Solving Problem solving strategies Trial and error Organizing data (charts, tables, graphs) Patterns Systematic elimination of alternatives Modeling Algebraic reasoning Verbal descriptions Symbolic descriptions Concrete models Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives Structured and guided practice
	MAT 147 - Mathematics for Elementary Teachers II 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods An overview of mathematical concepts, principles and applications specifically for elementary teachers. Includes measurement, basic geometry, probability, and statistics. Also includes the technology to teach mathematics. Prerequisite(s): Within the last three years: MAT 142 , MAT 151 , or higher with a grade of C or better, or mathematics assessment test into MAT 167 or higher. Information: It is not recommended that students enroll concurrently in MAT 146 and MAT 147. Access to a scanner required for math classes taken online. Course Learning Outcomes Use English and metric units to measure basic physical quantities and convert units within systems. Describe and apply common geometric shapes and their properties to formulas for perimeter, area, surface area, and volume. Calculate the probability of the outcomes of simple experiments and apply counting techniques that include permutations and combinations. Construct graphical data and calculate commonly used statistical measures with interpretation. Outline: Measurement Definition of measurement Rulers Protractors and compasses Measurement standards and units English system Metric system Conversion of units Within systems Between systems Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives, calculators as problem-solving tools Structured and guided practice Basic Geometry Common geometric shapes and properties One, two and three-dimensional figures Symmetry properties Calculation for common geometric figures Perimeter and area of triangles, rectangles, parallelograms and circles Surface area of rectangular prisms Volumes of rectangular prisms and spheres C. Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives, rulers, protractors and compasses Structured and guided practice Probability Theoretical probability Making predictions using samples Probability of independent events Teaching tools and resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software Programs, math games Manipulatives, rulers, and calculators as problem-solving tools Structured and guided practice Statistics Data analysis Counting techniques including permutations and combinations Frequency tables and distributions Graphical representations of data Bar, line, pie, and pictographs Scales and intervals Statistical measures Commonly used terms (range, mean, median, mode) Central tendency Variability Teaching Tools and Resources Identifying and utilizing teaching resources World Wide Web, national organizations Classroom presentation Software programs, math games Manipulatives, protractors, calculators as problem-solving tools Structured and guided practice
	MAT 151 - College Algebra [SUN# MAT 1151] 4 Credits, 4 Contact Hours 4 lecture periods 0 lab periods Introduction to college-level algebra. Includes functions, exponential and logarithmic functions, linear 2x2 and higher systems, graphing, and calculator use. A graphing calculator is required. Prerequisite(s): Within the last three years: MAT 095 or MAT 097 or MAT 122 or MAT 122Z or MAT 123 with a grade of C or better, or required score on the Mathematics assessment test. Information: Credit for only one course will be awarded to students completing MAT 151 and 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 182, MAT 187, MAT 188 , and MAT 189 . A graphing calculator is required. See your instructor for details. Access to a scanner required for math classes taken online. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Define functions and determine the domain and range. Perform operations on functions. Solve various types of equations and systems. Graph functions and inequalities. Solve problems involving real world applications. Performance Objectives: Define a function in terms of ordered pairs, graphically, and algebraically. Determine the domain of a function, and determine whether an element is in the range of a function. Use the algebra of functions and composition of functions defined by the modes in objective. Use the definition of a one-to-one function and compute the inverse of a one-to-one function. Define and calculate, exactly and by approximation, zeros and intercepts of functions. Perform basic operations with complex numbers. Find the zeros of polynomial functions by approximation and using simple algebraic methods. Given its zeros and their multiplicities, construct a polynomial function and sketch its graph. Graph rational functions. Solve nonlinear inequalities graphically. Use the properties of exponential functions. Use the concept of inverse functions to develop and work with logarithmic functions. Solve exponential and logarithmic equations. Solve applications, by algebraic means and by approximation, using polynomial, single radical, power, rational, exponential, and logarithmic functions. Solve application problems using linear systems. Use graphing calculators (or other technology). Using technology to model data (linear regression). Outline: Functions Definition By ordered pairs from table or other sources Graphing Algebraically Piecewise-defined functions Increasing/decreasing functions Even and odd functions Domain and range Determine the domain Determine whether a number is in the range; find the range in other cases. Computations Algebra of functions Composition Find the inverse of a one-to-one function The zeros of a function Polynomial and Rational Functions Computations Identify zeros and y-intercepts Remainder and Factor Theorems Polynomial long division Fundamental Theorem of Algebra Applications of Polynomials Non-linear inequalities (using graphical methods) Complex number systems Second degree polynomials Complete the square to put in a form to identify vertex Applications of maximum/minimum type Rational Functions Use properties of polynomials to analyze rational functions Applications of rational functions Exponential and Logarithmic Functions Properties and relationships Relate exponential and logarithmic as inverse functions Properties of Logarithms Problem solving Use part A to solve exponential and logarithmic equations Formulate and solve applied problems using exponential logarithmic functions. Linear 2 x 2 and Higher Systems Solutions Identify solutions as ordered n-tuples Classify systems as consistent or inconsistent Applications of systems Methods of solution Graphing Determine and graph features of functions and equations in general, and in particular for the types of functions listed in I-III. Intercepts Zeroes Asymptotes Use translations, reflections, and similar operations to obtain a new graph from a given graph. Use graph to interpret and analyze applied problems. Simple radical functions and power functions Calculator Use Numerical calculations and evaluation of functions Graph and analyze functions Other applications such as programs Linear regression Optional Topics Combinatorics The Binomial Theorem Conic sections Systems of equations which include nonlinear equations Systems of linear and/or nonlinear inequalities Mathematical induction Utilizing other types of technology such as spreadsheets Matrices Sequences and Series
	MAT 151RQ - College Algebra 4.00 Credits, 4.00 Contact Hours 4.00 lecture periods 0 lab periods Introduction to college-level algebra. Includes functions, exponential and logarithmic functions, linear 2 x 2 and higher systems, graphing, and calculator use. A graphing calculator is required. Prerequisite(s): Within the last three years: MAT 092 with a grade of B or better or placement into MAT 097 . Corequisite(s): MAT 097RQ Information: Credit for only one course will be awarded to students completing MAT 151RQ, MAT 151 and 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 151RQ, MAT 182, MAT 187, MAT 188 , and MAT 189 . A graphing calculator is required. See your instructor for details. Access to a scanner required for math classes taken online. Gen-Ed: Gen Ed: Meets AGEC – MATH; Meets CTE - M&S. Course Learning Outcomes Define functions and determine the domain and range. Perform operations on functions. Solve various types of equations and systems. Graph functions and inequalities. Solve problems involving real world applications. Performance Objectives: Define a function in terms of ordered pairs, graphically, and algebraically. Determine the domain of a function, and determine whether an element is in the range of a function. Use the algebra of functions and composition of functions defined by the modes in objective. Use the definition of a one-to-one function and compute the inverse of a one-to-one function. Define and calculate, exactly and by approximation, zeros and intercepts of functions. Perform basic operations with complex numbers. Find the zeros of polynomial functions by approximation and using simple algebraic methods. Given its zeros and their multiplicities, construct a polynomial function and sketch its graph. Graph rational functions. Solve nonlinear inequalities graphically. Use the properties of exponential functions. Use the concept of inverse functions to develop and work with logarithmic functions. Solve exponential and logarithmic equations. Solve applications, by algebraic means and by approximation, using polynomial, single radical, power, rational, exponential, and logarithmic functions. Solve application problems using linear systems. Use graphing calculators (or other technology). Using technology to model data (linear regression). Outline: Functions Definition By ordered pairs from table or other sources Graphing Algebraically Piecewise-defined functions Increasing/decreasing functions Even and odd functions Domain and range Determine the domain Determine whether a number is in the range; find the range in other cases. Computations Algebra of functions Composition Find the inverse of a one-to-one function The zeros of a function Polynomial and Rational Functions Computations Identify zeros and y-intercepts Remainder and Factor Theorems Polynomial long division Fundamental Theorem of Algebra Applications of Polynomials Non-linear inequalities (using graphical methods) Complex number systems Second degree polynomials Complete the square to put in a form to identify vertex Applications of maximum/minimum type Rational Functions Use properties of polynomials to analyze rational functions Applications of rational functions Exponential and Logarithmic Functions Properties and relationships Relate exponential and logarithmic as inverse functions Properties of Logarithms Problem solving Use part A to solve exponential and logarithmic equations Formulate and solve applied problems using exponential logarithmic functions. Linear 2 x 2 and Higher Systems Solutions Identify solutions as ordered n-tuples Classify systems as consistent or inconsistent Applications of systems Methods of solution Graphing Determine and graph features of functions and equations in general, and in particular for the types of functions listed in I-III. Intercepts Zeroes Asymptotes Use translations, reflections, and similar operations to obtain a new graph from a given graph. Use graph to interpret and analyze applied problems. Simple radical functions and power functions Calculator Use Numerical calculations and evaluation of functions Graph and analyze functions Other applications such as programs Linear regression Optional Topics Combinatorics The Binomial Theorem Conic sections Systems of equations which include nonlinear equations Systems of linear and/or nonlinear inequalities Mathematical induction Utilizing other types of technology such as spreadsheets Matrices Sequences and Series
	MAT 167 - Introductory Statistics [SUN# MAT 1160] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Introduction to statistics. Includes the nature of statistics, quantitative data, probability, probability distributions and the central limit theorem. Also includes estimates for population parameters, hypothesis testing, correlation with regression, and additional topics with choices from chi square distribution, ANOVA and/or nonparametric methods. Prerequisite(s): Within the last three years: MAT 151 with a grade of C or better, or required score on the Mathematics assessment test. Information: Use of a graphing calculator and/or computer programs may be required at the discretion of the instructor. Access to a scanner required for math classes taken online. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Compute simple and conditional probabilities. Display, analyze, and model quantitative and categorical random variables. Determine confidence intervals for population means and proportions. Test claims for population means and proportions using hypothesis testing. Performance Objectives: Define the nature of statistics. Display quantitative data using a variety of tables and graphs and compute measures of central tendency, variability, and position. Compute simple and conditional probabilities, and determine independence of events. Define a random variable and compute its distribution, mean, and variance. Describe the following probability distributions and their uses: binomial, standard normal, normal, student’s t, and chi-square. State and apply the central limit theorem. Determine point estimations and confidence intervals for one population mean and proportion. Test claims for population mean and proportion using hypothesis testing and examine Type I and Type II errors. Determine confidence intervals and test claims using hypothesis testing for two population means and proportions and examine independent samples and paired samples. Determine a regression line and compute the corresponding correlation coefficient and test to determine significance. 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. Outline: Nature of Statistics Descriptive and inferential statistics Data type Design of experiments Population versus sample Quantitative Data Tables Graphs Measures of central tendency Mean Mode Standard deviation Probability Discrete simple Discrete conditional Determine independence of events Random variable distributions Probability Distributions Binomial Normal Student’s t Chi-square Central Limit Theorem Estimates for Population Statistics Point Intervals Hypothesis Testing One population tests Two population tests Correlation and Regression Additional Topics Chi-square distribution hypothesis testing Test for variance Test for goodness of fit Test for independence Test for homogeneity of proportions ANOVA 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: MAT 151 with a grade of C or better or satisfactory score on the mathematics assessment exam. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Solve linear programing problems. Calculate and apply probabilities. Solve problems involving real world applications. Performance Objectives: Apply the mathematics of finance. Graph and evaluate linear functions, including those applying to business. Solve systems of linear equations using algebraic methods. Perform algebraic operations with matrices. Solve systems of linear equations using matrices; use Gaussian elimination with augmented matrices; use inverse matrices. Solve linear programming problems geometrically. Solve linear programming problems using the simplex method. Apply basic symbolic logic including truth tables. Represent sets using Venn Diagrams and perform set operations. Use the principles of counting (including the multiplication principle, combinations, and permutations) to solve counting problems. Calculate probabilities using conditional probability, independence, and Bayes’ theorem. Define random variables, differentiating between continuous and discrete; identify probability distributions. Optional 13. Apply Markov chains, finding transition and distribution matrices. Outline: Mathematics of Finance Simple interest Compound interest Future and present value of an annuity Amortizations Linear Functions Graphs and equations of lines Linear cost, revenue, and profit functions Linear supply and demand functions Solve Systems of Linear Equations Solve two equations with two unknown variables Break-even points Equilibrium points Matrices Equality of matrices Algebraic operations on matrices Find the inverse of a non-singular matrix Use technology Write matrices which represent a system of linear equations Solving Systems of Linear Equations using Matrices Gaussian elimination Solve a system of equations using inverse matrices Describe in detail the solutions of dependent systems Applications of systems of linear equations Use technology Linear Inequalities and Linear Programming Graph systems of linear inequalities in two variables Solve linear programming problems geometrically Applications of linear programming Solve Linear Programming using the Simplex Method Standard maximization problems Standard minimization problems Duality problems Applications of linear programming Logic Propositions and connectives Apply truth tables to compound proposition Sets Define sets including universal, empty, sub, complement, and power Define and perform set operations Draw Venn Diagrams representing sets Counting Number of elements in a set Number of subsets of a set Multiplication principle Inclusion-exclusion principle Permutations Combinations Applications Probability Sample spaces, simple outcomes, compound outcomes Find the probability of an event Draw tree diagrams Conditional probability Independence Bayes’ theorem Applications Random variables Binomial distribution Normal distribution Expected value Markov chains (Optional) Properties of Markov chains Transition and state matrices Regular Markov chains 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. Course Learning Outcomes Analyze functions by determining the domain, range, graph, zeros, asymptotes, and other properties. Solve various types of equations, inequalities, and systems. Solve problems involving real world applications. Solve trigonometric equations and verify trigonometric identities. Solve triangles and real world applications. Outline: Quadratic Equations Quadratic-in-form equations Radical equations that lead to quadratics Equations with rational exponents Functions Definition and Representation Numerical Graphical Algebraic Transformations and Symmetry Operations including Composition Average Rate of Change Inverse Functions Polynomial Functions Graphs Zeros (real and complex) Relative max and mins End Behavior (use limits to describe) Equations and Inequalities Applications Rational Functions Domain Graphs Intercepts Asymptotes (use limits to describe) Equations and Inequalities Applications Exponential and Logarithmic Functions Exponential Functions Graphs (domain, range, intercepts and asymptote) Equations Applications Logarithmic Functions Graphs (domain, range, intercepts, and asymptotes) Properties of logarithms Equations Applications Trigonometry Angle Measure Right Triangle Trigonometric Definition Unit Circle Trigonometric Definition Graphs of Trigonometric Functions Trigonometric Identities Basic, Pythagorean, and Reciprocal Double Angle Inverse Trigonometric Functions (arcsin, arccos, arctan) Trigonometric Equations Oblique Triangles Law of Sines 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 and 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 182, MAT 187, MAT 188, and 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. Course Learning Outcomes Analyze functions by determining the domain, range, graph, zeros, asymptotes, and other properties. Solve various types of equations, inequalities, and systems. Solve problems involving real world applications. Performance Objectives: Represent functions graphically, algebraically, numerically, and verbally; use function operations and inverses; use transformations and determine symmetry. Graph polynomial and rational functions; predict the nature of the zeros, and reconstruct a polynomial from its given zeros. Solve polynomial, rational, and absolute value inequalities. Graph exponential and logarithmic functions; solve exponential and logarithmic equations. Analyze the asymptotic behavior of a function. Solve linear systems algebraically, graphically, and using matrices; solve nonlinear systems graphically and algebraically. Use a graphing calculator to graph and analyze functions. Find the nth term of a sequence; calculate partial sums of arithmetic and geometric sequences. Solve application problems. Outline: Equations (Optional review as necessary) Equations of lines Quadratic and quadratic-in-form Absolute value Polynomial and rational Literal Radical Applications Functions Definition and Representation Ordered pairs or table Graphical Algebraic Verbal Transformation of graphs Symmetry of graphs Operations Addition, subtraction, multiplication, division Composition Inverses Polynomial and Rational Functions Polynomial functions Graphs Zeros: real and complex Reconstruct a polynomial from its given zeros Rational functions Domain Graphs Asymptotes – vertical and horizontal Limits (optional) Inequalities Polynomial Rational Absolute value Exponential and Logarithmic Functions Radicals and rational exponents (optional review) Exponential functions Graphs Equations Applications Logarithmic functions Properties of logarithms Common and natural logarithms Logarithms to other bases Graphs of logarithmic functions Equations Applications Systems of Equations Linear Algebraic solution Graphical solution Matrix methods Algebra of matrices Nonlinear Algebraic solution Graphical solution Calculator Use Numerical calculations and evaluation of functions Graphs and analysis of functions Matrix Computations Sequences and Series Definitions and notation Arithmetic sequences and sums Geometric sequences and sums Infinite geometric series Binomial Theorem (optional) Optional Topics Limits Construct and interpret a table Graphical interpretation Algebraic methods One-sided limits
	MAT 189 - Precalculus II [SUN# MAT 1187] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Continuation of MAT 188 . College-level trigonometry. Includes trigonometric functions, angle measure, graphs, identities, equations, polar coordinates, conic sections, and calculator use. May also include parametric equations, vectors, and complex numbers. Prerequisite(s): Within the last three years: MAT 188 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 with Calculus. Information: No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151 , MAT 188 , and MAT 189. A graphing calculator is required for this course and will be used extensively. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Solve trigonometric equations and verify trigonometric identities. Graph trigonometric functions polar equations, and conic sections. Solve triangles and real world applications. Performance Objectives: Convert between radians and degrees measures. Define, graph, and evaluate the six trigonometric functions and their inverses. Solve trigonometric equations algebraically and graphically. Use trigonometric identities to simplify expressions and solve equations. Graph polar equations; convert between rectangular and polar coordinates. Use the standard equations for conic sections and sketch their graphs; identify types of conic sections and determine their features. Use a graphing calculator to evaluate, graph, and analyze functions. Solve application problems. Outline: Trigonometric Functions Angle measure Definition and graphs of the six trigonometric functions Trigonometric Identities Basic, Pythagorean and Reciprocal Sum and difference formulas Double angle and half angle formulas Sum to product and product to sum (optional) Verification of identities Inverse trigonometric functions Law of Sines and Law of Cosines Trigonometric Equations Applications Polar Coordinates Conversion between rectangular and polar coordinates Graphs of polar equations Conic Sections Standard equations: Parabolas, Circles, Ellipses Identification of type of conic section Determination of features: center, vertices Optional: Hyperbolas Determination of foci, asymptotes Calculator Use Numerical calculations and evaluation of functions Graphs and analysis of functions Additional Topics: select at least one Complex Numbers Definition and graphical representation Operations Conversion between standard form and polar form DeMoivre’s Theorem Vectors Addition, scalar multiplication Magnitude Conversion from rectangular to polar form Applications Parametric Equations
	MAT 212 - Topics in Calculus [SUN# MAT 2212] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Introductory topics in differential and integral calculus to include limits, continuity, differentiation, and integration of functions with particular emphasis on business applications. Microsoft Excel and/or graphing calculators will be used as tools for further understanding of these concepts. Prerequisite(s): Within the last three years: MAT 151 or MAT 187 or MAT 188 with a grade of C or better, or satisfactory score on the mathematics assessment exam. Information: A graphing calculator (technology) is required. See your instructor for details. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Evaluate limits of functions. Differentiate functions and apply derivatives. Determine antiderivatives of functions and apply the Fundamental Theorem of Calculus. Performance Objectives: Evaluate limits of algebraic functions. Use the definition to determine continuity of a function. Use the definition to determine the derivative of algebraic functions. Use techniques of differentiation on powers, sums, products, quotients, exponential, logarithmic, composite, and implicit functions. Calculate higher order derivatives. 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. 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. Find antiderivatives of polynomials, exponential functions and some rational functions. Use finite sums to estimate the definite integral of functions defined numerically, graphically, or analytically. Estimation techniques should include left and right hand sums. Evaluate indefinite integrals. Use the integration technique of substitution. Use the fundamental Theorem of Calculus to evaluate definite integrals. 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. Outline: Limits Definition and notation Evaluation of limits Continuity Definition Continuity at a point Continuity on an interval Differentiation Definition of derivative Rules for derivatives 1. Power rule 2. Product rule 3. Quotient rule 4. Exponential/Logarithmic rules I. Chain Rule Implicit Differentiation Higher order derivatives Applications of the derivative Intervals of increase or decrease Relative and absolute extrema Concavity Points of Inflection Graphs of Functions Mathematical modeling with the derivative Optimization Marginal cost, marginal revenue, marginal profit Interpretation of mathematical models Antiderivatives Rules for antiderivatives Antiderivatives of polynomial and rational functions Antiderivatives of exponential functions Approximation of definite integrals Area under a graph Left hand sum Right hand sum Integration Indefinite integral Fundamental Theorem of Calculus Definite integral Integration by substitution Applications of integration Area between two curves Consumer and producer surplus 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 grade of C or better; or required score on the Mathematics assessment exam. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Evaluate limits of functions. Differentiate functions and apply derivatives. Determine antiderivatives of functions and apply the Fundamental Theorem of Calculus. Performance Objectives: Evaluate certain limits analytically, and estimate other limits numerically and/or graphically. These limits include double-sided, one-sided, and limits at infinity. Use the definition of continuity to identify points and types of discontinuity of functions defined analytically or graphically. 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. Sketch the derivative of a function defined graphically. Explain the meaning of the derivative in an applied situation using appropriate units. Calculate derivatives, explicitly and implicitly, of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric function. Determine the linear approximation of a function defined analytically, numerically, or graphically. Solve related rates problems. Calculate higher order derivatives of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Estimate small changes in a function using differentials. Use the 1^st derivative to identify critical points and intervals of increase and decrease. Identify the type and location of extrema using 1^st and/or 2^nd derivative tests. Use the 2^nd derivative to identify intervals of upward and downward concavity and inflection points. Sketch graphs of algebraic and transcendental functions using information obtained from derivatives and other analyses. Evaluate a variety of indeterminate forms using L’Hopital’s Rule. Solve a variety of optimization problems using derivatives. Find antiderivatives of polynomial, exponential, and some rational and trigonometric functions. Solve applied problems requiring the use of antiderivatives such as acceleration, velocity, and position problems. Sketch the graph of a possible antiderivative of a function defined graphically. 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. Interpret the definite integral in an applied situation using appropriate units. Evaluate definite integrals using the Fundamental Theorem of Calculus. Calculate the area beneath the graph of a function using the definite integral. Use the Fundamental Theorem of Calculus to demonstrate that differentiation and integration are inverse operations. 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. Outline: Limits and Continuity 2-sided 1-sided Limits involving infinity Definition of continuity Points and types of discontinuity Derivatives Definition of the derivative Estimate the value of the derivative Calculate exact derivatives Meaning of the derivative Differentiation Rules Power rule Product rule Quotient rule Chain rule Derivatives of transcendental functions Trigonometric functions Inverse trigonometric functions Exponential functions Logarithmic functions Hyperbolic functions (optional) Logarithmic differentiation (optional) Implicit differentiation Higher order derivatives Applications of the Derivative Related rates Linear approximations Differentials Curve sketching Intervals of increase and decrease Extrema Intervals of concavity Points of inflection Families of functions (optional) Optimization Antiderivatives Polynomial functions Exponential functions Rational functions Trigonometric functions Applied problems L’Hopital’s Rule Mean Value Theorem (optional) Newton’s Method (optional) Integration Definition of the definite integral Estimate the definite integral Fundamental Theorem of Calculus Indefinite integrals Area under curves Integration by substitution 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 grade of 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. Course Learning Outcomes Evaluate limits of functions. Differentiate functions and apply derivatives. Determine antiderivatives of functions and apply the Fundamental Theorem of Calculus. Performance Objectives: Evaluate certain limits analytically, and estimate other limits numerically and/or graphically. These limits include double-sided, one-sided, and limits at infinity. Use the definition of continuity to identify points and types of discontinuity of functions defined analytically or graphically. 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. Sketch the derivative of a function defined graphically. Explain the meaning of the derivative in an applied situation using appropriate units. Calculate derivatives, explicitly and implicitly, of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric function. Determine the linear approximation of a function defined analytically, numerically, or graphically. Solve related rates problems. Calculate higher order derivatives of algebraic combinations of polynomial, radical, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Estimate small changes in a function using differentials. Use the 1^st derivative to identify critical points and intervals of increase and decrease. Identify the type and location of extrema using 1^st and/or 2^nd derivative tests. Use the 2^nd derivative to identify intervals of upward and downward concavity and inflection points. Sketch graphs of algebraic and transcendental functions using information obtained from derivatives and other analyses. Evaluate a variety of indeterminate forms using L’Hopital’s Rule. Solve a variety of optimization problems using derivatives. Find antiderivatives of polynomial, exponential, and some rational and trigonometric functions. Solve applied problems requiring the use of antiderivatives such as acceleration, velocity, and position problems. Sketch the graph of a possible antiderivative of a function defined graphically. 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. Interpret the definite integral in an applied situation using appropriate units. Evaluate definite integrals using the Fundamental Theorem of Calculus. Calculate the area beneath the graph of a function using the definite integral. Use the Fundamental Theorem of Calculus to demonstrate that differentiation and integration are inverse operations. 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. Outline: Limits and Continuity 2-sided 1-sided Limits involving infinity Definition of continuity Points and types of discontinuity Derivatives Definition of the derivative Estimate the value of the derivative Calculate exact derivatives Meaning of the derivative Differentiation Rules Power rule Product rule Quotient rule Chain rule Derivatives of transcendental functions Trigonometric functions Inverse trigonometric functions Exponential functions Logarithmic functions Hyperbolic functions (optional) Logarithmic differentiation (optional) Implicit differentiation Higher order derivatives Applications of the Derivative Related rates Linear approximations Differentials Curve sketching Intervals of increase and decrease Extrema Intervals of concavity Points of inflection Families of functions (optional) Optimization Antiderivatives Polynomial functions Exponential functions Rational functions Trigonometric functions Applied problems L’Hopital’s Rule Mean Value Theorem (optional) Newton’s Method (optional) Integration Definition of the definite integral Estimate the definite integral Fundamental Theorem of Calculus Indefinite integrals Area under curves Integration by substitution Area between curves (optional)
	MAT 227 - Discrete Mathematics in Computer Science [SUN# MAT 2227] 4 Credits, 4 Contact Hours 4 lecture periods 0 lab periods Mathematical concepts applicable to computer science. Includes logic, set theory, counting techniques, proof techniques, relations and functions, binary relations, big-oh notation, mathematical induction, and recursion. Prerequisite(s): Within the last three years: MAT 220 or higher with a grade of C or better. Recommendation: Completion of CIS 129 or programming experience is recommended prior to enrolling in this course. If any recommended course is taken, see a financial aid or Veteran’s Affairs advisor to determine funding eligibility as appropriate. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Determine the validity of complex arguments using formal logic notation. Demonstrate competency in formal proof-writing techniques including direct and indirect methods of proofs. Solve problems involving real world applications. Performance Objectives: Utilize propositional and elementary predicate calculus. Utilize the algebra of sets. Demonstrate basic counting techniques. Define and write direct and indirect proofs. Define relations, functions, sequences and their properties. Determine the digraph and matrix of a relation. Apply big-oh notation. Write induction proofs. Provide recursive definitions and use recurrence relations. Apply some or all of the above topics to computer science. Outline: Logic Propositional forms Quantifiers Set Theory Description and notation Venn diagrams Set operations Subsets and power set Counting Techniques Factorials, permutations, and combinations Inclusion-exclusion principle Binomial coefficients Proof techniques Direct proofs; proofs by cases Indirect proofs: by contrapositive and by contradiction Rules of inference Relations and Functions Cartesian products and ordered pairs Functions Domain, codomain, and range Inverse images One-to-one and onto functions Sequences and sigma notation Binary Relations Reflexive, antireflexive, symmetric, antisymmetric, and transitive relations Graphs and digraphs of relations Adjacency matrix of a relation Equivalence relations, equivalence classes, and partitions Big-Oh Notation Definition Relation to computer programming Mathematical Induction Inductive proofs Strong vs. regular induction Inductive definitions Recursion Recursive definitions Recurrence relations 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 grade of C or better. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Evaluate indefinite and definite integrals using exact and approximation techniques. Use integrals in various applications. Determine convergence of infinite series. Performance Objectives: 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. 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. Estimate definite integrals using trapezoid, midpoint, and Simpson’s rules. Determine if an improper integral converges or diverges, and if it converges, calculate or estimate its value. Determine if an infinite sequence converges or diverges. 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. Estimate the error associated with a partial sum approximation of a convergent alternating series Determine if a series converges absolutely or conditionally. Determine radii of convergence and intervals of convergence of power series. Find the power series representation for a given function by integrating or differentiating existing power series. Determine Taylor and Maclaurin series using the definition. Determine slopes and areas of graphs defined in polar coordinates. 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. Outline: Techniques of Integration Substitution Integration by parts Products and powers of trigonometric functions Partial Fractions Trigonometric substitution Rationalizing substitutions (optional) Numerical integration Trapezoid rule Midpoint rule Simpson’s rule Error bounds (optional) Improper integrals Applications of the Integral Area between curves Volumes of solids Work Centroids or centers of mass Arc length At least 1 of the following: Hydrostatic force Average value of a function Economics Probability Sequences and Series Convergence/divergence of infinite sequences Convergence/divergence of infinite series Divergence test Integral test Comparison test Limit comparison test Alternating series test Ratio test Root test Estimate infinite alternating series Absolute and conditional convergence Power series Radius and interval of convergence Integration and differentiation Taylor and Maclaurin series Binomial series (optional) Parametric Equations and Polar Coordinates Slopes of parametric curves Arc length of parametric curves Slopes of polar curves Areas of polar curves Conic sections (optional) Differential Equations Separable (optional) Slope fields (optional) 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 grade of 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. Course Learning Outcomes Evaluate indefinite and definite integrals using exact and approximation techniques. Use integrals in various applications. Determine convergence of infinite series. Performance Objectives: 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. 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. Estimate definite integrals using techniques such as left hand, right hand, trapezoid, midpoint, and Simpson’s rules. 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. Determine if an infinite sequence is convergent or divergent. Determine convergence (or divergence) of infinite series using the divergence test, integral test, comparison test, limit comparison test, alternating series, test, and ratio test. 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. Determine if a series converges absolutely or conditionally. Determine radii of convergence and intervals of convergence of power series. Find the power series representation for a given function by integrating or differentiating existing power series. Determine Taylor and Maclaurin series using the definition. Apply integration techniques to solve separable differential equations. 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. Outline: Techniques of Integration Substitution Integration by parts Products of powers of trigonometric functions Partial fractions Trigonometric substitution Rationalizing substitutions (optional) Numerical integration Trapezoid rule Midpoint rule Simpson’s rule Error bounds (optional) Improper integrals Applications of the Integral Area between curves Volumes of solids Work Centroids or centers of mass Arc length At least 1 of the following: Hydrostatic force Average value of a function Economics Probability Sequences and Series Convergence/divergence of infinite sequences Convergence/divergence of infinite series Divergence test Integral test Comparison test Limit comparison test Alternating series test Ratio test Root test Estimate infinite series Absolute and conditional convergence Power series Radius and interval of convergence Integration and differentiation Taylor and Maclaurin series Binomial series (optional) Parametric Equations and Polar Coordinates Slopes of parametric curves Arc length of parametric curves Slopes of polar curves Areas of polar curves Conic sections (optional) Differential Equations Separable (optional) Slope fields (optional) 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. Course Learning Outcomes 1. Use vector operations to calculate equations of planes and vector equations of lines. 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. Performance Objectives: 1. Use a Cartesian coordinate system in 3-dimensional space; perform vector operations including the dot and cross products; and find the orthogonal projection onto a vector. 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. Outline: Vectors and Analytic Geometry in the Plane and in Space Vectors in the plane and in space Dot product and cross product Orthogonal projections Lines, Planes, and Surfaces Lines and planes in space Quadric surfaces Vector Valued Functions Graph of a vector valued function Parametrized curves Arc length Unit tangent vector, unit normal vector, and curvature Projectile motion Functions of Two or More Variables Domain Limits and continuity Partial derivatives Differentiability Chain rule Implicit differentiation Linearization and differentials Directional derivatives, gradient vectors, and tangent planes Local extrema and saddle points Absolute extrema Lagrange multipliers Multiple Integrals Double integrals in rectangular and polar coordinates Cylindrical and spherical coordinates Triple integrals in rectangular, cylindrical, and spherical coordinates Applications Calculus of Vector Fields Vector fields Line integrals Path independence, potential functions, and conservative vector fields Parametrized surfaces Surface area and surface integrals Divergence and curl Green’s Theorem Divergence Theorem and Stokes’ Theorem 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 grade of C or better. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Perform operations with matrices, calculate determinants, find eigenvalues and eigenvectors, and use matrices to solve systems of linear equations. Define vector spaces and find a basis for a subspace. Determine the matrix of a linear transformation with respect to a given basis, its kernel and range, and perform operations with linear transformations. Performance Objectives: 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. Define a vector space and perform vector operations; determine linear independence and find a spanning set of vectors. 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. 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. Find the eigenvalues and eigenvectors of a matrix; determine similarity between two matrices; diagonalize a matrix. Use the Gram-Schmidt process to obtain an orthogonal and an orthonormal basis; define an inner product space. Use Linear Algebra in various scientific and mathematical applications. Outline: Matrices and Systems of Linear Equations Gaussian and Gauss-Jordan elimination Matrix operations Inverse and determinant of square matrices Applications Vector Spaces Definition Algebra of vectors Linear independence Spanning sets of vectors Subspaces Definition Basis and dimension Subspaces associated with a matrix Rank and nullity of a matrix Linear Transformations Definition Kernel and range Matrix of a linear transformation Composition and inverses of linear transformations Change of Basis Applications Eigenvalues and Eigenvectors Definition Similar matrices Diagonalization of matrices Orthogonality and Inner Product Spaces Orthogonal and orthonormal basis Orthogonal projections Gram-Schmidt process Orthogonal diagonalization of symmetric matrices Applications Definition of inner product spaces Applications Matrices and systems of linear equations Linear transformations 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 grade of C or better. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S. Course Learning Outcomes Solve first order and higher order differential equations. Solve linear systems of first order differential equations using matrices and eigenvalues. Calculate the Laplace transform of a function, find the inverse transform, and use both to solve linear differential equations with constant coefficients. Performance Objectives: Solve first order differential equations including separable, linear, and those solved by substitution techniques. 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. Solve linear systems of first order differential equations using matrices and eigenvalues. Define and compute the Laplace transform of a function; find the inverse transform; use Laplace transforms to solve linear equations with constant coefficients. Use graphical and numerical methods to interpret and approximate solutions to differential equations. Use differential equations to model and interpret scientific and mathematical applications. Outline: First Order Differential Equations Separable Linear Exact (optional) Solvable by substitution Applications Higher Order Linear Differential Equations Wronskian and linear independence of functions Reduction of Order Homogeneous equations Non-homogeneous equations Undetermined coefficients Variation of parameters Cauchy-Euler equations (optional) Power series solutions Applications Systems of Linear First Order Differential Equations Method of eigenvalues Applications Laplace Transforms Definitions and existence Properties Inverse Transform Applications to solutions of linear equations with constant coefficients Approximating Methods Numerical Graphical Applications First order Higher order Linear systems Laplace Transforms

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Course Descriptions

MAT 092 - Elementary Algebra

MAT 092LB - Mathematics Success Support

MAT 092RQ - Topics in College Mathematics Co-requisite

MAT 095 - Pre-College Algebra

MAT 097 - Intermediate Algebra

MAT 097RQ - College Algebra Co-requisite

MAT 106 - Elementary Data Analysis with Spreadsheets

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

MAT 142RQ - Topics in College Mathematics

MAT 146 - Mathematics for Elementary Teachers I

MAT 147 - Mathematics for Elementary Teachers II

MAT 151 - College Algebra [SUN# MAT 1151]

MAT 151RQ - College Algebra

MAT 167 - Introductory Statistics [SUN# MAT 1160]

MAT 172 - Finite Mathematics

MAT 187 - Precalculus

MAT 188 - Precalculus I [SUN# MAT 1151]

MAT 189 - Precalculus II [SUN# MAT 1187]

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

MAT 220 - Calculus I [SUN# MAT 2220]

MAT 220HC - Calculus I: Honors

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

MAT 231 - Calculus II [SUN# MAT 2230]

MAT 231HC - Calculus II: Honors

MAT 241 - Calculus III [SUN# MAT 2241]

MAT 252 - Introduction to Linear Algebra

MAT 262 - Differential Equations [SUN# MAT 2262]