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, piece-wise functions, rational functions, radical functions, exponential/logarithmic functions, and systems of equations.
Prerequisite: Minimum ALEKS scores of 46% or MAT 099 with a C- or better or Corequisite of MAT 821 with a minimum ALEKS score of 35%
Competencies

Analyze equations, inequalities, and mathematical models
1. Graph equations and inequalities
2. Solve linear, quadratic, polynomial, rational, radical, and absolute value equations
3. Construct mathematical models for real-world situations
4. Simplify complex numbers
Evaluate functions
1. Determine domain and range
2. Utilize vertical line test
3. Distinguish properties of functions (including piece-wise functions)
4. Compare and contrast functions and their transformations
5. Analyze combinations of functions
6. Describe inverse functions
Interpret key components of linear and quadratic functions
1. Calculate slope of linear functions
2. Calculate midpoint and distance between two points
3. Rewrite a quadratic function in standard form
4. Identify the vertex and any x-intercepts of a quadratic function
Evaluate polynomial functions
1. Analyze a polynomial function and relate it to a real-world application
2. Determine real and complex zeros of a polynomial function
3. Utilize the Fundamental Theorem of Algebra
4. Apply the intermediate value, remainder, factor, and rational root theorems to find polynomial roots
5. Examine and graph polynomial functions
6. Interpret inequalities involving polynomial functions
Evaluate rational functions
1. Analyze a rational function
2. Determine horizontal/vertical/oblique asymptotes and any removable discontinuities
3. Examine and graph a rational function
4. Interpret inequalities involving rational functions
Evaluate exponential functions
1. Analyze exponential functions
2. Examine and graph exponential functions
3. Solve exponential equations
Evaluate logarithmic functions
1. Analyze logarithmic functions
2. Apply the properties of logarithms
3. Examine and graph logarithmic functions
4. Solve logarithmic equations
5. Apply exponential and logarithmic functions to problems involving interest, growth, and decay
Solve systems of equations
1. Calculate and interpret solutions of linear systems
2. Perform partial fraction decomposition
3. Use Gaussian elimination to calculate matrix solutions to linear systems

Competencies Revised Date: AY 2023