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Cengage Precalculus with calcchat and calcview, 2017

Chapter 1

Functions and Their Graphs

Rectangular Coordinates
Graphs of Equations
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Parent Functions
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse Functions
Mathematical Modeling and Variation
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter 2

Polynomial and Rational Functions

Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial and Synthetic Division
Complex Numbers
Zeros of Polynomial Functions
Rational Functions
Nonlinear Inequalities
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter 3

Exponential and Logarithmic Functions

Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
Review Exercises
Chapter Test
Cumulative Test for Chapters 1-3
P.S. Problem Solving

Chapter 4

Trigonometry

Radian and Degree Measure
Trigonometric Functions: The Unit Circle
Right Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Inverse Trigonometric Functions
Applications and Models
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter 5

Analytic Trigonometry

Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter 6

Additional Topics in Trigonometry

Law of Sines
Law of Cosines
Vectors in the Plane
Vectors and Dot Products
The Complex Plane
Trigonometric Form of a Complex Number
Review Exercises
Chapter Test
Cumulative Test for Chapters 4-6
P.S. Problem Solving

Chapter 7

Systems of Equations and Inequalities

Linear and Nonlinear Systems of Equations
Two-Variable Linear Systems
Multivariable Linear Systems
Partial Fractions
Systems of Inequalities
Linear Programming
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter 8

Matrices and Determinants

Matrices and Systems of Equations
Operations with Matrices
The Inverse of a Square Matrix
The Determinant of a Square Matrix
Applications of Matrices and Determinants
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter 9

Sequences, Series, and Probability

Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Counting Principles
Probability
Review Exercises
Chapter Test
Cumulative Test for Chapters 7-9
P.S. Problem Solving

Chapter 10

Topics in Analytic Geometry

Lines
Introduction to Conics: Parabolas
Ellipses
Hyperbolas
Rotation of Conics
Parametric Equations
Polar Coordinates
Graphs of Polar Equations
Polar Equations of Conics
Review Exercises
Chapter Test
P.S. Problem Solving

Chapter A

Appendix A

Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
Solving Equations
Linear Inequalites in One Variable
Errors and the Algebra of Calculus