Description
Book SynopsisNOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of the MyLabTM and MasteringTM platforms exist for each title, and registrations are not transferable. To register for and use MyLab or Mastering, you may also need aCourse ID, which your instructor will provide.
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For courses in College Algebra.
This package includes MyLab Math.
Prepare. Practice. Review.
Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing<
Table of Contents
Table of Contents
-
Review
- R.1 Real Numbers
- R.2 Algebra Essentials
- R.3 Geometry Essentials
- R.4 Polynomials
- R.5 Factoring Polynomials
- R.6 Synthetic Division
- R.7 Rational Expressions
- R.8 nth Roots; Rational Exponents
-
Equations and Inequalities
- 1.1 Linear Equations
- 1.2 Quadratic Equations
- 1.3 Complex Numbers; Quadratic Equations in the Complex Number System
- 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
- 1.5 Solving Inequalities
- 1.6 Equations and Inequalities Involving Absolute Value
- 1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
- Chapter 1 Review, Test, and Projects
-
Graphs
- 2.1 The Distance and Midpoint Formulas
- 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
- 2.3 Lines
- 2.4 Circles
- 2.5 Variation
- Chapter 2 Review, Test, and Projects
-
Functions and Their Graphs
- 3.1 Functions
- 3.2 The Graph of a Function
- 3.3 Properties of Functions
- 3.4 Library of Functions; Piecewise-defined Functions
- 3.5 Graphing Techniques: Transformations
- 3.6 Mathematical Models: Building Functions
- Chapter 3 Review, Test, and Projects
- Linear and Quadratic Functions
- 4.1 Properties of Linear Functions and Linear Models
- 4.2 Building Linear Models from Data
- 4.3 Quadratic Functions and Their Properties
- 4.4 Build Quadratic Models from Verbal Descriptions and from Data
- 4.5 Inequalities Involving Quadratic Functions
- Chapter 4 Review, Test, and Projects
-
Polynomial and Rational Functions
- 5.1 Polynomial Functions
- 5.2 Graphing Polynomials Functions; Models
- 5.3 Properties of Rational Functions
- 5.4 The Graph of a Rational Function
- 5.5 Polynomial and Rational Inequalities
- 5.6 The Real Zeros of a Polynomial Function
- Chapter 5 Review, Test, and Projects
-
Exponential and Logarithmic Functions
- 6.1 Composite Functions
- 6.2 One-to-One Functions; Inverse Functions
- 6.3 Exponential Functions
- 6.4 Logarithmic Functions
- 6.5 Properties of Logarithms
- 6.6 Logarithmic and Exponential Equations
- 6.7 Financial Models
- 6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
- 6.9 Building Exponential, Logarithmic, and Logistic Models from Data
- Chapter 6 Review, Test, and Projects
-
Analytic Geometry
- 7.1 Conics
- 7.2 The Parabola
- 7.3 The Ellipse
- 7.4 The Hyperbola
- Chapter 7 Review, Test, and Projects
-
Systems of Equations and Inequalities
- 8.1 Systems of Linear Equations: Substitution and Elimination
- 8.2 Systems of Linear Equations: Matrices
- 8.3 Systems of Linear Equations: Determinants
- 8.4 Matrix Algebra
- 8.5 Partial Fraction Decomposition
- 8.6 Systems of Nonlinear Equations
- 8.7 Systems of Inequalities
- 8.8 Linear Programming
- Chapter 8 Review, Test, and Projects
-
Sequences; Induction; the Binomial Theorem
- 9.1 Sequences
- 9.2 Arithmetic Sequences
- 9.3 Geometric Sequences; Geometric Series
- 9.4 Mathematical Induction
- 9.5 The Binomial Theorem
- Chapter 9 Review, Test, and Projects
-
Counting and Probability
- 10.1 Counting
- 10.2 Permutations and Combinations
- 10.3 Probability
- Chapter 10 Review, Test, and Projects
Appendix: Graphing Utilities
- A.1 The Viewing Rectangle
- A.2 Using a Graphing Utility to Graph Equations
- A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
- A.4 Using a Graphing Utility to Solve Equations
- A.5 Square Screens
- A.6 Using a Graphing Utility to Graph Inequalities
- A.7 Using a Graphing Utility to Solve Systems of Linear Equations
Answers Credits Index