Precalculus with Limits

Cover
Contents
Preface
Instructor Resources
Student Resources
Acknowledgments
Ch 1: Functions and Their Graphs
	1.1 Rectangular Coordinates
	1.2 Graphs of Equations
	1.3 Linear Equations in Two Variables
	1.4 Functions
	1.5 Analyzing Graphs of Functions
	1.6 A Library of Parent Functions
	1.7 Transformations of Functions
	1.8 Combinations of Functions: Composite Functions
	1.9 Inverse Functions
	1.10 Mathematical Modeling and Variation
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 2: Polynomial and Rational Functions
	2.1 Quadratic Functions and Models
	2.2 Polynomial Functions of Higher Degree
	2.3 Polynomial and Synthetic Division
	2.4 Complex Numbers
	2.5 Zeros of Polynomial Functions
	2.6 Rational Functions
	2.7 Nonlinear Inequalities
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 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 Exponential and Logarithmic Equations
	3.5 Exponential and Logarithmic Models
	Chapter Summary
	Review Exercises
	Chapter Test
	Cumulative Test for Chapters 1-3
	Proofs in Mathematics
	P.S. Problem Solving
Ch 4: Trigonometry
	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 Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 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-to-Sum Formulas
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 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 The Complex Plane
	Chapter Summary
	Review Exercises
	Chapter Test
	Cumulative Test for Chapters 4-6
	Proofs in Mathematics
	P.S. Problem Solving
Ch 7: Systems of Equations and Inequalities
	7.1 Linear and Nonlinear Systems of Equations
	7.2 Two-Variable Linear Systems
	7.3 Multivariable Linear Systems
	7.4 Partial Fractions
	7.5 Systems of Inequalities
	7.6 Linear Programming
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 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 Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 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 Summary
	Review Exercises
	Chapter Test
	Cumulative Test for Chapters 7-9
	Proofs in Mathematics
	P.S. Problem Solving
Ch 10: Topics in Analytic Geometry
	10.1 Lines
	10.2 Introduction to Conics: Parabolas
	10.3 Ellipses
	10.4 Hyperbolas
	10.5 Rotation of Conics
	10.6 Parametric Equations
	10.7 Polar Coordinates
	10.8 Graphs of Polar Equations
	10.9 Polar Equations of Conics
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 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 Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Ch 12: Limits and an Introduction to Calculus
	12.1 Introduction to Limits
	12.2 Techniques for Evaluating Limits
	12.3 The Tangent Line Problem
	12.4 Limits at Infinity and Limits of Sequences
	12.5 The Area Problem
	Chapter Summary
	Review Exercises
	Chapter Test
	Cumulative Test for Chapters 10-12
	Proofs in Mathematics
	P.S. Problem Solving
Ch 13: Concepts in Statistics
	13.1 Representing Data
	13.2 Analyzing Data
	13.3 Modeling Data
	Chapter Summary
	Review Exercises
	Chapter Test
	Proofs in Mathematics
	P.S. Problem Solving
Appendix A: Review of Fundamental Concepts of Algebra
Answers to Odd-Numbered Exercises and Tests
Index