Precalculus Enhanced with Graphing Utilities / Edition 4

Precalculus Enhanced with Graphing Utilities / Edition 4

by Michael Sullivan
ISBN-10:
0131924966
ISBN-13:
9780131924963
Pub. Date:
06/30/2004
Publisher:
Prentice Hall (School Division)
Precalculus Enhanced with Graphing Utilities / Edition 4

Precalculus Enhanced with Graphing Utilities / Edition 4

by Michael Sullivan
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Overview

Precalculus Enhanced with Graphing Utilities integrates graphing utilities into topics. Many examples show solutions using algebra side by side with graphing techniques.

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Product Details

ISBN-13: 9780131924963
Publisher: Prentice Hall (School Division)
Publication date: 06/30/2004
Edition description: Student
Pages: 900
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)
Lexile: 1240L (what's this?)

About the Author

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicago’s South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida.

Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America. He has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel.

Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family.

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

Table of Contents

  1. Graphs
    • 1.1 Graphing Utilities; Introduction to Graphing Equations
    • 1.2 The Distance and Midpoint Formulas
    • 1.3 Intercepts; Symmetry; Graphing Key Equations
    • 1.4 Solving Equations Using a Graphing Utility
    • 1.5 Lines
    • 1.6 Circles
    • Chapter Review
    • Chapter Test
    • Chapter Project
  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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
  4. Polynomial and Rational Functions
    • 4.1 Polynomial Functions and Models
    • 4.2 The Graph of a Polynomial Function and Models
    • 4.3 The Real Zeros of a Polynomial Function
    • 4.4 Complex Zeros; Fundamental Theorem of Algebra
    • 4.5 Properties of Rational Functions
    • 4.6 The Graph of a Rational Function
    • 4.7 Polynomial and Rational Inequalities
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
  6. Trigonometric Functions
    • 6.1 Angles and Their Measure
    • 6.2 Trigonometric Functions: A 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
  9. Polar Coordinates; Vectors
    • 9.1 Polar Coordinates
    • 9.2 Polar Equations and Graphs
    • 9.3 The Complex Plane; DeMoivre’s Theorem
    • 9.4 Vectors
    • 9.5 The Dot Product
    • 9.6 Vectors in Space
    • 9.7 The Cross Product
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
  13. Counting and Probability
    • 13.1 Counting
    • 13.2 Permutations and Combinations
    • 13.3 Probability
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
  14. A Preview of Calculus: The Limit, Derivative, and Integral of a Fraction
    • 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 Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects

Appendix A: Review

  • A.1 Algebra Essentials
  • A.2 Geometry Essentials
  • A.3 Polynomials
  • A.4 Synthetic Division
  • A.5 Rational Expressoins
  • 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: The Limit of a Sequence; Infinite Series

Answers

Credits

Subject Index

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