Precalculus, Loose-Leaf Edition

by Sullivan, Michael

• ISBN13: 9780135189627
• ISBN10: 0135189624
• Edition: 11th
• Format: Loose-leaf
• Copyright: 2019-04-24
• Publisher: Pearson

Summary

NOTE: This loose-leaf, three-hole punched version of the textbook gives you the flexibility to take only what you need to class and add your own notes – all at an affordable price. For loose-leaf editions that include MyLab™ or Mastering™, several versions may exist for each title and registrations are not transferable. You may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

For courses in Precalculus.

Prepare. Practice. Review.

Michael Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The 11th Edition continues to evolve to meet the needs of today’s students.

This series prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of continuous preparation and retention – along with the high-quality exercises that Sullivan texts are known for – gives students the reinforcement they need. 

Also available with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. 

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab Math, search for:

0135278481 / 9780135278482 Precalculus, Loose-Leaf Edition Plus MyLab Math with eText - Access Card Package

Package consists of:

• 0135189624 / 9780135189627 Precalculus, Loose-Leaf Edition
• 0135189799 / 9780135189795 MyLab Math with Pearson eText - Standalone Access Card - for Precalculus

Author Biography

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has four children; the two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son, Mike Sullivan, III, co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where Mike enjoys gardening.

 

Mike Sullivan, III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

Table of Contents

1. Graphs

1.1 The Distance and Midpoint Formulas
1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
1.3 Lines
1.4 Circles

Chapter 1 Review, Test, and Projects

2. Functions and Their Graphs

2.1 Functions
2.2 The Graph of a Function
2.3 Properties of Functions
2.4 Library of Functions; Piecewise-defined Functions
2.5 Graphing Techniques: Transformations
2.6 Mathematical Models: Building Functions

Chapter 2 Review, Test, and Projects

3. Linear and Quadratic Functions

3.1 Properties of Linear Functions and Linear Models
3.2 Building Linear Models from Data
3.3 Quadratic Functions and Their Properties
3.4 Build Quadratic Models from Verbal Descriptions and from Data
3.5 Inequalities Involving Quadratic Functions

Chapter 3 Review, Test, and Projects

4. Polynomial and Rational Functions

4.1 Polynomial Functions
4.2 Graphing Polynomial Functions; Models
4.3 Properties of Rational Functions
4.4 The Graph of a Rational Function
4.5 Polynomial and Rational Inequalities
4.6 The Real Zeros of a Polynomial Function

Chapter 4 Review, Test, and Projects

5. Exponential and Logarithmic Functions

5.1 Composite Functions
5.2 One-to-One Functions; Inverse Functions
5.3 Exponential Functions
5.4 Logarithmic Functions
5.5 Properties of Logarithms
5.6 Logarithmic and Exponential Equations
5.7 Financial Models
5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
5.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter 5 Review, Test, and Projects

6. Trigonometric Functions

6.1 Angles, Arc, Length, and Circular Motion
6.2 Trigonometric Functions: Unit Circle Approach
6.3 Properties of the Trigonometric Functions
6.4 Graphs of the Sine and Cosine Functions
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.6 Phase Shift; Sinusoidal Curve Fitting

Chapter 6 Review, Test, and Projects

7. Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions
7.2 The Inverse Trigonometric Functions (Continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum and Difference Formulas
7.6 Double-angle and Half-angle Formulas
7.7 Product-to-Sum and Sum-to-Product Formulas

Chapter 7 Review, Test, and Projects

8. Applications of Trigonometric Functions

8.1 Right Triangle Trigonometry; Applications
8.2 The Law of Sines
8.3 The Law of Cosines
8.4 Area of a Triangle
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter 8 Review, Test, and Projects

9. Polar Coordinates; Vectors

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; De Moivre’s Theorem

9.4 Vectors

9.5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product

Chapter 9 Review, Test, and Projects

10. Analytic Geometry

10.1 Conics
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
10.5 Rotation of Axes; General Form of a Conic
10.6 Polar Equations of Conics
10.7 Plane Curves and Parametric Equations

Chapter 10 Review, Test, and Projects

11. Systems of Equations and Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination
11.2 Systems of Linear Equations: Matrices
11.3 Systems of Linear Equations: Determinants
11.4 Matrix Algebra
11.5 Partial Fraction Decomposition
11.6 Systems of Nonlinear Equations
11.7 Systems of Inequalities
11.8 Linear Programming

Chapter 11 Review, Test, and Projects

12. Sequences; Induction; the Binomial Theorem

12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences; Geometric Series
12.4 Mathematical Induction
12.5 The Binomial Theorem

Chapter 12 Review, Test, and Projects

13. Counting and Probability

13.1 Counting
13.2 Permutations and Combinations
13.3 Probability

Chapter 13 Review, Test, and Projects

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

14.1 Finding Limits Using Tables and Graphs
14.2 Algebra Techniques for Finding Limits
14.3 One-sided Limits; Continuous Functions
14.4 The Tangent Problem; The Derivative
14.5 The Area Problem; The Integral

Chapter 14 Review, Test, and Projects

Appendix A: Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Synthetic Division
A.5 Rational Expressions
A.6 Solving Equations
A.7 Complex Numbers; Quadratic Equations in the Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
A.9 Interval Notation; Solving Inequalities
A.10 nth Roots; Rational Exponents

Appendix B: Graphing Utilities
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric
Equations

Answers
Credits
Index