
20222023 College Catalog [ARCHIVED CATALOG]

MAT 151  College Algebra [SUN# MAT 1151] 4 Credits, 4 Contact Hours 4 lecture periods 0 lab periods
Introduction to collegelevel 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. GenEd: 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 onetoone function and compute the inverse of a onetoone 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
 Piecewisedefined 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 onetoone function
 The zeros of a function
 Polynomial and Rational Functions
 Computations
 Identify zeros and yintercepts
 Remainder and Factor Theorems
 Polynomial long division
 Fundamental Theorem of Algebra
 Applications of Polynomials
 Nonlinear 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 ntuples
 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 IIII.
 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

