Chapter P Prerequisites

P.1 Real Numbers
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 Graphical Representation of Data


Chapter 1 Equations and Inequalities

1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities
1.8 Other Types of Inequalities


Chapter 2 Functions and Their Graphs

2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 Shifting, Reflecting, and Stretching Graphs
2.5 Combinations of Functions
2.6 Inverse Functions


Chapter 3 Polynomial Functions

3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling


Chapter 4 Rational Functions and Conics

4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Partial Fractions
4.4 Conics
4.5 Translation of Conics


Chapter 5 Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models


Chapter 6 Systems of Equations and Inequalities

6.1 Solving Systems of Equations
6.2 Two-Variable Linear Systems
6.3 Multivariable Linear Systems
6.4 Systems of Inequalities
6.5 Linear Programming


Chapter 7 Matrices and Determinants

7.1 Matrices and Systems of Equations
7.2 Operations with Matrices
7.3 The Inverse of a Square Matrix
7.4 The Determinant of a Square Matrix
7.5 Applications of Matrices and Determinants


Chapter 8 Sequences, Series, and Probability

8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability