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Precalculus Table of Contents

P.1 Graphical Representation of Data
P.2 Graphs of Equations
P.3 Lines in the Plane
P.4 Solving Equations Algebraically and Graphically
P.5 Solving Inequalities Algebraically and Graphically
Chapter Project: Modeling the Volume of a Box
Library of Functions
1. Functions and Their Graphs
1.1 Functions
1.2 Graphs of Functions
1.3 Shifting, Reflecting, and Stretching Graphs
1.4 Combinations of Functions
1.5 Inverse Functions
Chapter Project: Modeling the Area of a Plot
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions of a Higher Degree
2.3 Real Zeros of Polynomial Functions
2.4 Complex Numbers
2.5 The Fundamental Theorem of Algebra
2.6 Rational Functions and Asymptotes
2.7 Graphs of Rational Functions
Chapter Project: Finding Points of Intersection
3. Exponential and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
Chapter Project: A Graphical Approach to Compound Interest
Cumulative Test for Chapters P-3.
4. Trigonometric Functions
4.1 Radian and Degree Measure
4.2 Trigonometric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications and Models
Chapter Project: Fitting a Model to Data
5. Analytic Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations
5.4 Sum and Difference Formulas
5.5 Multiple-Angle and Product-Sum Formulas
Chapter Project: Projectile Motion
6. Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Vectors in the Plane
6.4 Vectors and Dot Products
6.5 Trigonometric Form of a Complex Number
Chapter Project: Adding Vectors Graphically
Cumulative Test for Chapters 4-6.

7. Systems of Equations and Inequalities
7.1 Solving Systems of Equations
7.2 Systems of Linear Equations in Two Variables
7.3 Multivariable Linear Systems
7.4 Systems of Inequalities
7.5 Linear Programming
Chapter Project: Fitting Models to Data
8. Matrices and Determinants
8.1 Matrices and Systems of Equations
8.2 Operations with Matrices
8.3 The Inverse of a Square Matrix
8.4 The Determinant of a Square Matrix
8.5 Applications of Matrices and Determinants
Chapter Project: Solving Systems of Equations
9. Sequences, Series, and Probability
9.1 Sequences and Series
9.2 Arithmetic Sequences and Partial Sums
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
9.6 Counting Principles
9.7 Probability
Chapter Project: Fitting Models to Data
10. Topics in Analytic Geometry
10.1 Introduction to Conics: Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Rotation and Systems of Quadratic Equations
10.5 Parametric Equations
10.6 Polar Coordinates
10.7 Graphs of Polar Equations
10.8 Polar Equations of Conics
Chapter Project: Polar, Rectangular, and Parametric Forms
Cumulative Test for Chapter 7-10.
11. Analytic Geometry in Three Dimensions
11.1 The Three-Dimensional Coordinate System
11.2 Vectors in Space
11.3 The Cross Product of Two Vectors
11.4 Lines and Planes in Space
Chapter Project: Distance Between a Point and a Line
12. Limits and an Introduction to Calculus
12.1 Introduction to Limits
12.2 Techniques for Evaluation Limits
12.3 The Tangent Line Problem
12.4 Limits at Infinity and Limits of Sequences
12.5 The Area Problem