Precalculus

by Sullivan, Michael

• ISBN13: 9780135189405
• ISBN10: 0135189403
• Edition: 11th
• Format: Hardcover
• Copyright: 2019-04-26
• Publisher: Pearson

About This Book

Precalculus, 11th Edition

ISBN: 9780135189405

Precalculus, 11th Edition, is a comprehensive textbook designed for students preparing for calculus and other advanced mathematics courses. Written by renowned author Michael Sullivan, this book has been a trusted resource for students and educators alike for over a decade.

Who Uses It?

Primarily, this book is used by students in precalculus courses at the high school and college levels. It is also a valuable resource for anyone looking to refresh their understanding of mathematical concepts or prepare for calculus. Instructors appreciate the book's structured approach, which helps students build a strong foundation in precalculus.

History and Editions

The 11th edition of Precalculus continues to evolve to meet the needs of today's students. It has been updated to include high-quality exercises and a continuous preparation and retention cycle, ensuring that students stay engaged and focused throughout the course. This edition builds upon the success of previous editions, incorporating feedback from users and incorporating the latest research in mathematics education.

Author and Other Works

Michael Sullivan is a well-respected author in the field of mathematics education. He has written several textbooks, including the Sullivan Algebra and Trigonometry series, which are known for their clear explanations and comprehensive coverage of mathematical concepts. His approach focuses on preparing students for class, practicing with homework, and reviewing concepts to reinforce understanding.

Key Features

• Comprehensive Coverage: The book covers all essential topics in precalculus, including trigonometry, functions, and analytical geometry.
• Continuous Preparation and Retention: The hallmark Sullivan cycle ensures that students are continuously prepared and retained throughout the course.
• High-Quality Exercises: The book includes a wide range of exercises designed to help students practice and reinforce their understanding of mathematical concepts.
• Digital Support: Available with MyLab Math, this platform personalizes the learning experience and improves results for each student by providing interactive tools and resources.

Detailed Information

ISBNs and Formats

• Hardcover: ISBN-13: 9780135189405
• eTextbook: Not included with the hardcover purchase; students must purchase a separate eTextbook package if desired.
• Rental Options: Available for short-term, quarter, and semester rentals from various retailers.

Publication Details

• Publisher: Pearson
• Publication Date: 2019
• Number of Pages: 1200
• Language: English
• Item Weight: 5.764 pounds
• Dimensions: 9.06" wide x 11.42" long x 1.57" tall

Other Editions and Formats

• 10th Edition: Available through Pearson and other retailers.
• eTextbook with MyLab Math: Students can purchase an eTextbook package that includes access to MyLab Math for personalized learning experiences.

Related ISBNs:

• 9780135189405 (Hardcover)
• 0135189403 (ISBN-10)
• 9780135189405 (eTextbook, not included with hardcover purchase)
• 9780135189405 (Rental options available)

This detailed information section provides a quick reference for all the available formats and sources for Precalculus, 11th Edition, making it easier to find and access the book in the preferred format.

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