Precalculus Enhanced with Graphing Utilities: Pearson New International Edition

VitalSource eBook

Date de publication

01 novembre 2013

ISBN-13

9781292037615

Ampleur

Nombre de pages de contenu principal : 1920

Code interne

129203761X

Protection technique e-livre

DRM

Google Livres Aperçu

Sommaire

1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations

1.2 Intercepts; Symmetry; Graphing Key Equations

1.3 Solving Equations Using a Graphing Utility

1.4 Lines

1.5 Circles

   Chapter Review

   Chapter Test

   Cumulative Review

   Chapter 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 Review

   Chapter Test

   Cumulative Review

   Chapter Projects

3. Linear and Quadratic Functions

3.1 Linear Functions, Their Properties, and Linear Models

3.2 Building Linear Models from Data

3.3 Quadratic Functions and Their Properties

3.4 Building Quadratic Models from Verbal Descriptions and 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 Real Zeros of a Polynomial Function

4.3 Properties of Rational Functions

4.4 The Graph of a Rational Function

4.5 Polynomial and Rational Inequalities

4.6 Complex Zeros; Fundamental Theorem of Algebra

   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: 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; Building Sinusoidal Models

   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

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 Jobs

A.9 Interval Notation; Solving Inequalities

A.10 nth Roots; Rational Exponents

Appendix B. The Limit of a Sequence; Infinite Series

Answers