Fundamentals of Precalculus Book

Chapter 1 Graphs and Functions

1.1 Real Numbers and Their Properties

1.2 Linear and Absolute Value Inequalities

1.3 Equations and Graphs in Two Variables

1.4 Linear Equations in Two Variables

1.5 Functions

1.6 Graphs of Relations and Functions

1.7 Families of Functions, Transformations, and Symmetry

1.8 Operations with Functions

1.9 Inverse Functions

Chapter 2 Polynomial and Rational Functions

2.1 Quadratic Functions and Inequalities

2.2 Complex Numbers

2.3 Zeros of Polynomial Functions

2.4 The Theory of Equations

2.5 Miscellaneous Equations

2.6 Graphs of Polynomial Functions

2.7 Rational Functions and Inequalities

Chapter 3 Trigonometric Functions

3.1 Angles and Their Measurements

3.2 The Sine and Cosine Functions

3.3 The Graphs of the Sine and Cosine Functions

3.4 The Other Trigonometric Functions and Their Graphs

3.5 The Inverse Trigonometric Functions

3.6 Right Triangle Trigonometry

3.7 Identities

3.8 Conditional Trigonometric Identities

3.9 The Law of Sines and the Law of Cosines

Chapter 4 Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Applications

4.2 Logarithmic Functions and Their Applications

4.3 Rules of Logarithms

4.4 More Equations and Applications

Chapter 5 Conic Sections, Polar Coordinates, and Parametric Equations

5.1 The Parabola

5.2 The Ellipse and the Circle

5.3 The Hyperbola

5.4 Polar Coordinates

5.5 Polar Equations of the Conics

5.6 Parametric Equations

Appendix A Basic Algebra Review

A.1 Exponents and Radicals

A.2 Polynomials

A.3 Factoring Polynomials

A.4 Rational Expressions