## Topic outline

• #### COLLEGE ALGEBRA COURSE

This comprehensive course contains 9 sections with 79 self-grading lessons, including final assessments. The first section is available to try for free.

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• #### Prerequisites - Final Assessment

This is the final assessment for Prerequisites. (Available when you subscribe.)

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• #### Equations and Inequalities

2.1. The Rectangular Coordinate Systems and Graphs
2.2. Linear Equations in One Variable
2.3. Models and Applications
2.4. Complex Numbers
2.6. Other Types of Equations
2.7. Linear Inequalities and Absolute Value Inequalities
Final Assessment

• #### Functions

3.1. Functions and Function Notation
3.2. Domain and Range
3.3. Rates of Change and Behavior of Graphs
3.4. Composition of Functions
3.5. Transformation of Functions
3.6. Absolute Value Functions
3.7. Inverse Functions
Final Assessment

• #### Linear Functions

4.1. Linear Functions
4.2. Modeling with Linear Functions
4.3. Fitting Linear Models to Data
Final Assessment

• #### Polynomial and Rational Functions

5.2. Power Functions and Polynomial Functions
5.3. Graphs of Polynomial Functions
5.4. Dividing Polynomials
5.5. Zeros of Polynomial Functions
5.6. Rational Functions
5.8. Modeling Using Variation
Final Assessment

• #### Exponential and Logarithmic Functions

6.1. Exponential Functions
6.2. Graphs of Exponential Functions
6.3. Logarithmic Functions
6.4. Graphs of Logarithmic Functions
6.5. Logarithmic Properties
6.6. Exponential and Logarithmic Equations
6.7. Exponential and Logarithmic Models
6.8. Fitting Exponential Models to Data
Final Assessment

• #### Systems of Equations and Inequalities

7.1. Systems of Linear Equations: Two Variables
7.2. Systems of Linear Equations: Three Variables
7.3. Systems of Nonlinear Equations and Inequalities: Two Variables
7.4. Partial Fractions
7.5. Matrices and Matrix Operations
7.6. Solving Systems with Gaussian Elimination
7.7. Solving Systems with Inverses
7.8. Solving Systems with Cramer's Rule
Final Assessment

• #### Analytic Geometry

8.1. The Ellipse
8.2. The Hyperbola
8.3. The Parabola
8.4. Rotation of Axes
8.5. Conic Sections in Polar Coordinates
Final Assessment

• #### Sequences, Probability, and Counting Theory

9.1. Sequences and Their Notations
9.2. Arithmetic Sequences
9.3. Geometric Sequences
9.4. Series and Their Notations
9.5. Counting Principles
9.6. Binomial Theorem
9.7. Probability
Final Assessment