Larson's Precalculus is known for sound, consistently structured explanations of mathematical concepts and exercises to expertly prepare students for calculus. Engage your students and prepare them for success in your course and beyond with the student-focused approach of Ron Larson and WebAssign. Updated and refined through learning design principles, the 11th Metric Edition removes barriers to learning and offers a carefully planned and inclusive experience for all students. Larson presents concepts clearly and offers a wealth of learning support, addressing both readiness gaps and helping students take their understanding to the next level.
Author(s): Ron Larson
Edition: 11
Publisher: Cengage Learning
Year: 2021
Language: English
Pages: 993
City: Boston
Cover
Contents
Preface
Instructor Resources
Student Resources
Acknowledgments
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Cumulative Test for Chapters 1-3
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
6.6 Trigonometric Form of a Complex Number
Summary and Study Strategies
Review Exercises
Chapter Test
Cumulative Test for Chapters 4-6
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathem
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
Review Exercises
Chapter Test
Cumulative Test for Chapters 7-9
Proofs in Mathematics
P.S. Problem Solving
Chapter 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
Summary and Study Strategies
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
