Overview

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, Third Edition focuses on the fundamentals: preparation for class, practice with homework, and reviewing of key concepts. With the Concepts Through Functions series, the Sullivans expose students to functions in the first chapter and maintain a continuous theme of functions throughout the text. This approach ensures students master basic skills and develop the conceptual understanding they need for the course, ultimately preparing students for future math courses as well. This program will provide a better teaching and learning experience-for you and your students. Here's how: Improve Results: MyMathLab (R) delivers proven results in helping students succeed and provides engaging experiences that personalize learning. Help students prepare for class with just-in-time review for topics ahead. Reinforce key concepts with practicing skills exercises that allow students to practice immediately after learning a new skill. Review for exams and quizzes with comprehensive practice problems matched to learning objectives for each section.

Full Product Details

Author:   Michael Sullivan, III ,  Michael Sullivan
Publisher:   Pearson Education Limited
Imprint:   Pearson Education Limited
Edition:   3rd edition
ISBN:  

9781292058740

ISBN 10:   1292058749
Pages:   1208
Publication Date:   13 January 2015
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Foundations: A Prelude to FunctionsF.1 The Distance and Midpoint FormulasF.2 Graphs of Equations in Two Variables; Intercepts; SymmetryF.3 LinesF.4 Circles 1. Functions and Their Graphs1.1 Functions1.2 The Graph of a Function1.3 Properties of Functions1.4 Library of Functions; Piecewise-defined Functions1.5 Graphing Techniques: Transformations1.6 Mathematical Models: Constructing Functions1.7 Building Mathematical Models Using VariationChapter ReviewChapter TestChapter Projects 2. Linear and Quadratic Functions2.1 Properties of Linear Functions and Linear Models2.2 Building Linear Models from Data2.3 Quadratic Functions and Their Zeros2.4 Properties of Quadratic Functions2.5 Inequalities Involving Quadratic Functions2.6 Building Quadratic Models from Verbal Descriptions and from Data2.7 Complex Zeros of a Quadratic Function2.8 Equations and Inequalities Involving the Absolute Value FunctionChapter ReviewChapter TestChapter ProjectsCumulative Review 3. Polynomial and Rational Functions3.1 Polynomial Functions and Models3.2 Properties of Rational Functions3.3 The Graph of a Rational Function3.4 Polynomial and Rational Inequalities3.5 The Real Zeros of a Polynomial Function3.6 Complex Zeros; Fundamental Theorem of AlgebraChapter ReviewChapter TestChapter ProjectsCumulative Review 4. Exponential and Logarithmic Functions4.1 Composite Functions4.2 One-to-One Functions; Inverse Functions4.3 Exponential Functions4.4 Logarithmic Functions4.5 Properties of Logarithms4.6 Logarithmic and Exponential Equations4.7 Compound Interest4.8 Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay4.9 Building Exponential, Logarithmic, and Logistic Functions from DataChapter ReviewChapter TestChapter ProjectsCumulative Review 5. Trigonometric Functions5.1 Angles and Their Measure5.2 Trigonometric Functions: Unit Circle Approach5.3 Properties of the Trigonometric Functions5.4 Graphs of the Sine and Cosine Functions5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions5.6 Phase Shift; Sinusoidal Curve FittingChapter ReviewChapter TestChapter ProjectsCumulative Review 6. Analytic Trigonometry6.1 The Inverse Sine, Cosine, and Tangent Functions6.2 The Inverse Trigonometric Functions (Continued)6.3 Trigonometric Equations6.4 Trigonometric Identities6.5 Sum and Difference Formulas6.6 Double-angle and Half-angle Formulas6.7 Product-to-Sum and Sum-to-Product FormulasChapter ReviewChapter TestChapter ProjectsCumulative Review 7. Applications of Trigonometric Functions7.1 Right Triangle Trigonometry; Applications Involving Right Triangles7.2 The Law of Sines7.3 The Law of Cosines7.4 Area of a Triangle7.5 Simple Harmonic Motion; Damped Motion; Combining WavesChapter ReviewChapter TestChapter ProjectsCumulative Review 8. Polar Coordinates; Vectors8.1 Polar Coordinates8.2 Polar Equations and Graphs8.3 The Complex Plane; DeMoivre's Theorem8.4 Vectors8.5 The Dot Product8.6 Vectors in Space8.7 The Cross ProductChapter ReviewChapter TestChapter ProjectsCumulative Review 9. Analytic Geometry9.1 Conics9.2 The Parabola9.3 The Ellipse9.4 The Hyperbola9.5 Rotation of Axes; General Form of a Conic9.6 Polar Equations of Conics9.7 Plane Curves and Parametric EquationsChapter ReviewChapter TestChapter ProjectsCumulative Review 10. Systems of Equations and Inequalities10.1 Systems of Linear Equations: Substitution and Elimination10.2 Systems of Linear Equations: Matrices10.3 Systems of Linear Equations: Determinants10.4 Matrix Algebra10.5 Partial Fraction Decomposition10.6 Systems of Nonlinear Equations10.7 Systems of Inequalities10.8 Linear ProgrammingChapter ReviewChapter TestChapter ProjectsCumulative Review 11. Sequences; Induction; the Binomial Theorem11.1 Sequences11.2 Arithmetic Sequences11.3 Geometric Sequences; Geometric Series11.4 Mathematical Induction11.5 The Binomial TheoremChapter ReviewChapter TestChapter ProjectsCumulative Review 12. Counting and Probability12.1 Counting12.2 Permutations and Combinations12.3 ProbabilityChapter ReviewChapter TestChapter ProjectsCumulative Review 13. A Preview of Calculus: The Limit; Derivative, and Integral of a Function13.1 Finding Limits Using Tables and Graphs13.2 Algebra Techniques for Finding Limits13.3 One-sided Limits; Continuous Functions13.4 The Tangent Problem; The Derivative13.5 The Area Problem; The IntegralChapter ReviewChapter TestChapter ProjectsCumulative Review Appendix A. ReviewA.1 Algebra EssentialsA.2 Geometry EssentialsA.3 PolynomialsA.4 Factoring PolynomialsA.5 Synthetic DivisionA.6 Rational ExpressionsA.7 nth Roots; Rational ExponentsA.8 Solving EquationsA.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate JobsA.10 Interval Notation; Solving InequalitiesA.11 Complex Numbers Appendix B. Graphing UtilitiesB.1 The Viewing RectangleB.2 Using a Graphing Utility to Graph EquationsB.3 Using a Graphing Utility to Locate Intercepts and Check for SymmetryB.4 Using a Graphing Utility to Solve EquationsB.5 Square ScreensB.6 Using a Graphing Utility to Graph InequalitiesB.7 Using a Graphing Utility to Solve Systems of Linear EquationsB.8 Using a Graphing Utility to Graph a Polar EquationB.9 Using a Graphing Utility to Graph Parametric Equations AnswersIndex

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