College Algebra

Unit 1: Solving Equations

• Introduction

• Solving Linear and Rational Equations Review

• Quadratic Equations

• Literal Equations Review

• Radical Equations

• Other Equations

Unit 2: Relations and Functions

• Introduction

• The Cartesian Coordinate Plane

• Relations

• Graphs of Equations

• Introduction to Functions

• Function Notation

• Function Arithmetic

• Introduction

Unit 3: More with Functions

• Introduction

• Transformations

• Linear Functions

• Absolute Value Functions

• Quadratic Functions

• Inequalities

Unit 4: Polynomial Functions

• Introduction

• Graphs of Polynomials

• The Factor Theorem and the Remainder Theorem

• Real Zeros of Polynomials

• Complex Numbers

• Complex Zeros and the Fundamental Theorem of Algebra

Unit 5: Rational Functions

• Introduction

• Introduction to Rational Functions

• Graphs of Rational Functions

• Rational Equations and Applications (Variation)

• Function Composition

• Inverse Functions

Unit 6: Exponentials and Logarithms

• Introduction

• Introduction to Exponential and Logarithmic Functions

• Properties of Logarithms

• Exponential Equations

• Logarithmic Equations

• Applications of Exponential and Logarithmic Functions

Unit 7: Systems, Sequences and the Binomial Theorem

• Introduction

• Systems of Linear Equations

• Systems of Nonlinear Equations and Inequalities

• Sequences

• Summation Notation

• Binomial Theorem

Unit 8: Conics

• Introduction

• Introduction to Conics

• Circles

• Parabolas

• Ellipse

• Hyperbolas