Precalculus : real mathematics, real people

Contents
Preface
Instructor Resources
Student Resources
Acknowledgments
Ch 1: Functions and Their Graphs
	Introduction to Library of Parent Functions
	Section 1.1: Lines in the Plane
	Section 1.2: Functions
	Section 1.3: Graphs of Functions
	Section 1.4: Shifting, Reflecting, and Stretching Graphs
	Section 1.5: Combinations of Functions
	Section 1.6: Inverse Functions
	Section 1.7: Linear Models and Scatter Plots
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
Ch 2: Polynomial and Rational Functions
	Section 2.1: Quadratic Functions
	Section 2.2: Polynomial Functions of Higher Degree
	Section 2.3: Real Zeros of Polynomial Functions
	Section 2.4: Complex Numbers
	Section 2.5: The Fundamental Theorem of Algebra
	Section 2.6: Rational Functions and Asymptotes
	Section 2.7: Graphs of Rational Functions
	Section 2.8: Quadratic Models
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	Progressive Summary (Chapters 1-2)
Ch 3: Exponential and Logarithmic Functions
	Section 3.1: Exponential Functions and Their Graphs
	Section 3.2: Logarithmic Functions and Their Graphs
	Section 3.3: Properties of Logarithms
	Section 3.4: Solving Exponential and Logarithmic Equations
	Section 3.5: Exponential and Logarithmic Models
	Section 3.6: Nonlinear Models
	Chapter Summary
	Review Exercises
	Chapter Test
	Cumulative Test: Chapters 1-3
	Proofs in Mathematics
	Progressive Summary (Chapters 1-3)
Ch 4: Trigonometric Functions
	Section 4.1: Radian and Degree Measure
	Section 4.2: Trigonometric Functions: The Unit Circle
	Section 4.3: Right Triangle Trigonometry
	Section 4.4: Trigonometric Functions of Any Angle
	Section 4.5: Graphs of Sine and Cosine Functions
	Section 4.6: Graphs of Other Trigonometric Functions
	Section 4.7: Inverse Trigonometric Functions
	Section 4.8: Applications and Models
	Chapter Summary
	Review Exercises
	Chapter Test
	Library of Parent Functions Review
	Proofs in Mathematics
Ch 5: Analytic Trigonometry
	Section 5.1: Using Fundamental Identities
	Section 5.2: Verifying Trigonometric Identities
	Section 5.3: Solving Trigonometric Equations
	Section 5.4: Sum and Difference Formulas
	Section 5.5: Multiple-Angle and Product-to-Sum Formulas
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
Ch 6: Additional Topics in Trigonometry
	Section 6.1: Law of Sines
	Section 6.2: Law of Cosines
	Section 6.3: Vectors in the Plane
	Section 6.4: Vectors and Dot Products
	Section 6.5: Trigonometric Form of a Complex Number
	Chapter Summary
	Review Exercises
	Chapter Test
	Cumulative Test: Chapters 4-6
	Proofs in Mathematics
	Progressive Summary (Chapters 1-6)
Ch 7: Linear Systems and Matrices
	Section 7.1: Solving Systems of Equations
	Section 7.2: Systems of Linear Equations in Two Variables
	Section 7.3: Multivariable Linear Systems
	Section 7.4: Matrices and Systems of Equations
	Section 7.5: Operations with Matrices
	Section 7.6: The Inverse of a Square Matrix
	Section 7.7: The Determinant of a Square Matrix
	Section 7.8: Applications of Matrices and Determinants
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
Ch 8: Sequences, Series, and Probability
	Section 8.1: Sequences and Series
	Section 8.2: Arithmetic Sequences and Partial Sums
	Section 8.3: Geometric Sequences and Series
	Section 8.4: The Binomial Theorem
	Section 8.5: Counting Principles
	Section 8.6: Probability
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
Ch 9: Topics in Analytic Geometry
	Section 9.1: Circles and Parabolas
	Section 9.2: Ellipses
	Section 9.3: Hyperbolas and Rotation of Conics
	Section 9.4: Parametric Equations
	Section 9.5: Polar Coordinates
	Section 9.6: Graphs of Polar Equations
	Section 9.7: Polar Equations of Conics
	Chapter Summary
	Review Exercises
	Chapter Test
	Cumulative Test: Chapters 7-9
	Proofs in Mathematics
	Progressive Summary (Chapters 3-9)
Ch 10: Analytic Geometry in Three Dimensions
	Section 10.1: The Three-Dimensional Coordinate System
	Section 10.2: Vectors in Space
	Section 10.3: The Cross Product of Two Vectors
	Section 10.4: Lines and Planes in Space
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
Appendices
	Appendix A: Technology Support Guide
Answers to Odd-Numbered Exercises and Tests
Index of Selected Applications
Index