Precalculus with Limits

✍ Scribed by Ron Larson

• Publisher: Cengage Learning
• Year: 2021
• Tongue: English
• Leaves: 1138
• Edition: 5
• Category: Library

✦ Synopsis

Prepare for success in precalculus as Larson's PRECALCULUS WITH LIMITS, 5th Edition provides specially developed ongoing review in addition to clear explanations, real examples, exercises that relate to everyday life and innovative online support. Written by an award-wining author recognized for his reader-friendly approach, this edition provides a brief review of core algebra topics and coverage of analytic geometry in three dimensions in addition to an introduction to concepts covered in calculus. "How Do You See It?" exercises let you practice applying concepts, while new Summarize features and Checkpoint questions reinforce your understanding of skills you need to better prepare for tests. In addition, "Review & Refresh" exercises and Skills Review videos help you strengthen previously learned math skills. You can even access no-cost homework support on the websites CalcChat.com, CalcView.com and LarsonPrecalculus.com and refine your abilities with WebAssign activities and practice.

✦ Table of Contents

Cover
Contents
Preface
Instructor Resources
Student Resources
Acknowledgments
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
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
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
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
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
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
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
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 Mathematics
P.S. Problem Solving
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
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
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
Summary and Study Strategies
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
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
Summary and Study Strategies
Review Exercises
Chapter Test
Cumulative Test for Chapters 10-12
Proofs in Mathematics
P.S. Problem Solving
13: Concepts in Statistics
13.1: Representing Data
13.2: Analyzing Data
13.3: Modeling Data
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