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College Algebra Enhanced with Graphing Utilities, 8th edition

  • Michael Sullivan

Overview

MyLab Math 18-week Standalone Access Card to accompany Sullivan/Sullivan, College Algebra Enhanced with Graphing Utilities, 8/e

This item is an access card for MyLab™ Math. This physical access card includes an access code for your MyLab Math course. In order to access the online course you will also need a Course ID, provided by your instructor.


This title-specific access card provides access to the Sullivan/Sullivan, College Algebra Enhanced with Graphing Utilities, 8/e accompanying MyLab course ONLY.


0135811961 / 9780135811962 MYLAB MATH WITH PEARSON ETEXT -- ACCESS CARD -- FOR COLLEGE ALGEBRA ENHANCED WITH GRAPHING UTILITIES (18-WEEKS), 8/e


MyLab Math is the world’s leading online tutorial, and assessment program designed to help you learn and succeed in your mathematics course. MyLab Math online courses are created to accompany one of Pearson’s  best-selling math textbooks. Every MyLab Math course includes a complete, interactive eText.  Learn more about MyLab Math.


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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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Published by Pearson (March 15th 2020) - Copyright © 2021