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Home > General > Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- MyLab Math with eText -- 24-Month Instant Access
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- MyLab Math with eText -- 24-Month Instant Access

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- MyLab Math with eText -- 24-Month Instant Access


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About the Book

Table of Contents:
Applications Index 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 Building Mathematical Models from Verbal Descriptions 
  • 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 
  • 3.2 Graphing Polynomial Functions; Models 
  • 3.3 The Real Zeros of a Polynomial Function 
  • 3.4 Complex Zeros; Fundamental Theorem of Algebra 
  • 3.5 Properties of Rational Functions 
  • 3.6 The Graph of a Rational Function 
  • 3.7 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, Arc Length, and Circular Motion 
  • 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 Investigating Limits Using Tables and Graphs 
  • 13.2 Algebraic Techniques for Finding Limits 
  • 13.3 One-sided Limits; Continuity 
  • 13.4 The Tangent Problem; The Derivative 
  • 13.5 The Area Problem; The Integral 
  • Chapter Review 
  • Chapter Test 
  • Chapter Projects 
APPENDICES
  • 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 
  • 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 


About the Author :
About our authors

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. 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 4 children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on 2 precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. 12 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 3 children and an avid golfer, who tries to spend as much of his limited free time as possible on the golf course.


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Product Details
  • ISBN-13: 9780137944323
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson Education (US)
  • Language: English
  • ISBN-10: 0137944322
  • Publisher Date: 02 Jan 2023
  • Binding: Digital
  • Sub Title: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- MyLab Math with eText -- 24-Month Instant Access


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