College Algebra Essentials

Chapter P: Prerequisites: Fundamental Concepts of Algebra

• • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
• • P.2 Exponents and Scientific Notation
• • P.3 Radicals and Rational Exponents
• • P.4 Polynomials
• • P.5 Factoring Polynomials
• • P.6 Rational Expressions

Chapter 1: Equations and Inequalities

• • 1.1 Graphs and Graphing Utilities
• • 1.2 Linear Equations and Rational Equations
• • 1.3 Models and Applications
• • 1.4 Complex Numbers
• • 1.5 Quadratic Equations
• • 1.6 Other Types of Equations
• • 1.7 Linear Inequalities and Absolute Value Inequalities

Chapter 2: Functions and Graphs

• • 2.1 Basics of Functions and Their Graphs
• • 2.2 More on Functions and Their Graphs
• • 2.3 Linear Functions and Slope
• • 2.4 More on Slope
• • 2.5 Transformations of Functions
• • 2.6 Combinations of Functions; Composite Functions
• • 2.7 Inverse Functions
• • 2.8 Distance and Midpoint Formulas; Circles

Chapter 3: Polynomial and Rational Functions

• • 3.1 Quadratic Functions
• • 3.2 Polynomial Functions and Their Graphs
• • 3.3 Dividing Polynomials; Remainder and Factor Theorems
• • 3.4 Zeros of Polynomial Functions
• • 3.5 Rational Functions and Their Graphs
• • 3.6 Polynomial and Rational Inequalities
• • 3.7 Modeling Using Variation

Chapter 4: Exponential and Logarithmic Functions

• • 4.1 Exponential Functions
• • 4.2 Logarithmic Functions
• • 4.3 Properties of Logarithms
• • 4.4 Exponential and Logarithmic Equations
• • 4.5 Exponential Growth and Decay; Modeling Data

Chapter 5: Systems of Equations and Inequalities

• • 5.1 Systems of Linear Equations in Two Variables
• • 5.2 Systems of Linear Equations in Three Variables
• • 5.3 Partial Fractions
• • 5.4 Systems of Nonlinear Equations in Two Variables
• • 5.5 Systems of Inequalities
• • 5.6 Linear Programming