
MAT 121  College Algebra Credits: 4 Lecture Hours: 4 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: General This course provides an intensified study of algebraic techniques and prepares students for future study in mathematics. The central theme of this course is the concept of a function and its graph. Topics include: linear functions, polynomial functions, piecewise functions, rational functions, radical functions, exponential/logarithmic functions, and systems of equations. Prerequisite: Minimum ALEKS scores of 46% or MAT 073 with a C or better Competencies
 Analyze equations, inequalities, and mathematical models
 Graph equations and inequalities
 Solve linear, quadratic, polynomial, rational, radical, and absolute value equations
 Model realworld situations through mathematics
 Simplify complex numbers
 Evaluate functions
 Calculate slope of linear functions
 Calculate midpoint and distance between two points
 Determine domain and range
 Utilize vertical line test
 Distinguish properties of functions (including piecewise functions)
 Compare and contrast functions and their transformations
 Analyze combinations of functions
 Describe inverse functions
 Evaluate polynomial functions
 Analyze a polynomial function and relate it to a realworld application
 Rewrite a quadratic function in standard form
 Find the vertex and any xintercepts of a graph of a quadratic function
 Determine real and complex zeros of a polynomial function
 Utilize the Fundamental Theorem of Algebra
 Apply the intermediate value, remainder, factor, and rational root theorems to find polynomial roots
 Examine and graph polynomial functions
 Interpret inequalities involving polynomial functions
 Evaluate rational functions
 Analyze a rational function
 Determine horizontal/vertical/oblique asymptotes and any removable discontinuities
 Examine and graph a rational function
 Interpret inequalities involving rational functions
 Evaluate exponential functions
 Analyze exponential functions
 Examine and graph exponential functions
 Solve exponential equations
 Evaluate logarithmic functions
 Analyze logarithmic functions
 Apply the properties of logarithms
 Examine and graph logarithmic functions
 Solve logarithmic equations
 Apply exponential and logarithmic functions to problems involving interest, growth and decay
 Solve systems of equations
 Calculate and interpret solutions of linear systems
 Perform partial fraction decomposition
 Use Gaussian elimination to calculate matrix solutions to linear systems
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