
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 functions, exponents, logarithms, systems of equations, matrices, polynomials, conic sections and probability. Prerequisite: Minimum ALEKS scores of 46% or MAT 073 with a C or better Competencies
 Discuss equations, inequalities, and mathematical models
 Graph equations and inequalities
 Solve linear, quadratic, polynomial, rational, radical, and absolute value equations
 Describe realworld situations through math modeling
 Simplify complex numbers
 Discuss functions
 Calculate slope of linear functions
 Calculate midpoint and distance between two points
 Identify domain and range
 Apply vertical line test
 Discuss properties of functions
 Discuss transformations of functions
 Analyze combinations of functions
 Calculate inverse functions
 Discuss and graph polynomial functions
 Discuss and graph quadratic functions
 Calculate zeros of polynomial functions
 Divide polynomials using long division
 Divide polynomials using synthetic division
 Analyze rational functions and their graphs
 Discuss and graph rational functions
 Identify domain and range
 Identify asymptotes
 Calculate practical applications using variation
 Analyze radical functions and their graphs
 Discuss and graph radical functions
 Identify domain and range
 Apply radical functions to models
 Calculate and graph exponential and logarithmic functions
 Identify domain and range
 Calculate values of logarithms
 Solve exponential and logarithmic equations
 Calculate and analyze practical applications, using exponential and logarithmic functions
 Setup and solve systems of equations
 Calculate solutions of linear systems
 Perform partial fraction decomposition
 Algebraically solve nonlinear equations in two variables
 Graphically solve systems of linear inequalities
 Solve linear programming involving objective functions
 Use and understand matrices and determinants
 Use Gaussian elimination to calculate matrix solutions to linear systems
 Perform matrix operations
 Calculate multiplicative inverses
 Identify and solve matrix equations
 Solve systems of equations, using Cramer’s Rule
 Calculate conic sections: ellipse, hyperbola, and parabola
 Transform equations to standard form
 Identify centers, foci, and vertices
 Graph conic sections
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