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Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, 4th edition

  • Michael Sullivan

Published by Pearson (January 16th 2018) - Copyright © 2019

4th edition

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For courses in precalculus.

This package includes MyLab Math.

 

Ties concepts together using a functions approach 

The Concepts Through Functions Series introduces functions at the start of each text, and maintains a continuous theme by introducing/developing a new function in every chapter. 


Known for their ability to connect with today’s students, acclaimed authors Sullivan and Sullivan focus on the fundamentals — preparing for class, practice with homework, and reviewing key concepts — encouraging students to master basic skills and develop the conceptual understanding needed for this and future courses. Graphing utility coverage is optional, and can be included at the discretion of each instructor based on course needs.

 


Reach every student by pairing this text with MyLab Math

MyLab™ Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. 


0134859049 / 9780134859040 Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry Plus MyLab Math with eText -- Title-Specific Access Card Package, 4/e

Package consists of:

  • 0134686977 / 9780134686974 Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry
  • 0134852214 / 9780134852218 MyLab Math with Pearson eText - Standalone Access Card - for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry

 

Table of contents

F. Foundations: A Prelude to Functions

F.1 The Distance and Midpoint Formulas

F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

F.3 Lines

F.4 Circles

Chapter Project

 

1. Functions and Their Graphs

1.1 Functions

1.2 The Graph of a Function

1.3 Properties of Functions

1.4 Library of Functions; Piecewise-defined Functions

1.5 Graphing Techniques: Transformations

1.6 Mathematical Models: Building Functions

1.7 Building Mathematical Models Using Variation

Chapter Review

Chapter Test

Chapter Projects

 

2. Linear and Quadratic Functions

2.1 Properties of Linear Functions and Linear Models

2.2 Building Linear Models from Data

2.3 Quadratic Functions and Their Zeros

2.4 Properties of Quadratic Functions

2.5 Inequalities Involving Quadratic Functions

2.6 Building Quadratic Models from Verbal Descriptions and from Data

2.7 Complex Zeros of a Quadratic Function

2.8 Equations and Inequalities Involving the Absolute Value Function

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

3. Polynomial and Rational Functions

3.1 Polynomial Functions and Models

3.2 The Real Zeros of a Polynomial Function

3.3 Complex Zeros; Fundamental Theorem of Algebra

3.4 Properties of Rational Functions

3.5 The Graph of a Rational Function

3.6 Polynomial and Rational Inequalities

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

4. Exponential and Logarithmic Functions

4.1 Composite Functions

4.2 One-to-One Functions; Inverse Functions

4.3 Exponential Functions

4.4 Logarithmic Functions

4.5 Properties of Logarithms

4.6 Logarithmic and Exponential Equations

4.7 Financial Models

4.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

4.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

5. Trigonometric Functions

5.1 Angles and Their Measure

5.2 Trigonometric Functions: Unit Circle Approach

5.3 Properties of the Trigonometric Functions

5.4 Graphs of the Sine and Cosine Functions

5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

5.6 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

6. Analytic Trigonometry

6.1 The Inverse Sine, Cosine, and Tangent Functions

6.2 The Inverse Trigonometric Functions (Continued)

6.3 Trigonometric Equations

6.4 Trigonometric Identities

6.5 Sum and Difference Formulas

6.6 Double-angle and Half-angle Formulas

6.7 Product-to-Sum and Sum-to-Product Formulas

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

7. Applications of Trigonometric Functions

7.1 Right Triangle Trigonometry; Applications

7.2 The Law of Sines

7.3 The Law of Cosines

7.4 Area of a Triangle

7.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

8. Polar Coordinates; Vectors

8.1 Polar Coordinates

8.2 Polar Equations and Graphs

8.3 The Complex Plane; De Moivre’s Theorem

8.4 Vectors

8.5 The Dot Product

8.6 Vectors in Space

8.7 The Cross Product

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

9. Analytic Geometry

9.1 Conics

9.2 The Parabola

9.3 The Ellipse

9.4 The Hyperbola

9.5 Rotation of Axes; General Form of a Conic

9.6 Polar Equations of Conics

9.7 Plane Curves and Parametric Equations

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

10. Systems of Equations and Inequalities

10.1 Systems of Linear Equations: Substitution and Elimination

10.2 Systems of Linear Equations: Matrices

10.3 Systems of Linear Equations: Determinants

10.4 Matrix Algebra

10.5 Partial Fraction Decomposition

10.6 Systems of Nonlinear Equations

10.7 Systems of Inequalities

10.8 Linear Programming

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

11. Sequences; Induction; the Binomial Theorem

11.1 Sequences

11.2 Arithmetic Sequences

11.3 Geometric Sequences; Geometric Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

12. Counting and Probability

12.1 Counting

12.2 Permutations and Combinations

12.3 Probability

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

 

13. A Preview of Calculus: The Limit, Derivative, and Integral of a Function

13.1 Finding Limits Using Tables and Graphs

13.2 Algebra Techniques for Finding Limits

13.3 One-sided Limits; Continuous Functions

13.4 The Tangent Problem; The Derivative

13.5 The Area Problem; The Integral

Chapter Review

Chapter Test

Chapter Projects

 

Appendix A: Review

A.1 Algebra Essentials

A.2 Geometry Essentials

A.3 Polynomials

A.4 Factoring Polynomials

A.5 Synthetic Division

A.6 Rational Expressions

A.7 nth Roots; Rational Exponents

A.8 Solving Equations

A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications

A.10 Interval Notation; Solving Inequalities

A.11 Complex Numbers

 

Appendix B: Graphing Utilities

B.1 The Viewing Rectangle B1

B.2 Using a Graphing Utility to Graph Equations B3

B.3 Using a Graphing Utility to Locate Intercepts and Check

for Symmetry B5

B.4 Using a Graphing Utility to Solve Equations B6

B.5 Square Screens B8

B.6 Using a Graphing Utility to Graph Inequalities B9

B.7 Using a Graphing Utility to Solve Systems of Linear Equations B9

B.8 Using a Graphing Utility to Graph a Polar Equation B11

B.9 Using a Graphing Utility to Graph Parametric Equations B11

 

Answers

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Index

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