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math_140

 
Math 140    College Algebra

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Table of Contents

Chapter R            Review

R.1 Real Numbers

R.2 Algebra Review

R.3 Geometry Review

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

 

Chapter 1            Graphs, Equations, and Inequalities

1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations

1.3 Solving Quadratic Equations

1.4 Complex Numbers; Quadratic Equations in the Complex Number System

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

1.7 Solving Inequalities

1.8 Lines

1.9 Circles

Chapter Review

Chapter Test

Chapter Project

 

Chapter 2            Functions and Their Graphs

2.1 Intercepts and Symmetry; Graphing Key Equations

2.2 Functions

2.3 The Graph of a Function

2.4 Properties of Functions

2.5 Linear Functions and Models

2.6 Library of Functions; Piecewise-Defined Functions

2.7 Graphing Techniques: Transformations

2.8 Mathematical Models: Constructing Functions

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 3            Polynomial and Rational Functions

3.1 Quadratic Functions and Models

3.2 Polynomial Functions and Models

3.3 Properties of Rational Functions

3.4 The Graph of a Rational Function; Inverse and Joint Variation

3.5 Polynomial and Rational Inequalities

3.6 The Real Zeros of a Polynomial Function

3.7 Complex Zeros: Fundamental Theorem of Algebra

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 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 Compound Interest

4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay

4.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 5            Systems of Equations and Inequalities

5.1 Systems of Linear Equations: Substitution and Elimination

5.2 Systems of Linear Equations: Matrices

5.3 Systems of Linear Equations: Determinants

5.4 Matrix Algebra

5.5 Partial Fraction Decomposition

5.6 Systems of Linear Inequalities

5.7 Linear Programming

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 6            Analytic Geometry

6.1 Conics

6.2 The Parabola

6.3 The Ellipse

6.4 The Hyperbola

6.5 Systems of Nonlinear Equations and Inequalities

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

 

Chapter 7            Sequences; Induction; The Binomial Theorem

7.1 Sequences

7.2 Arithmetic Sequences

7.3 Geometric Sequences; Geometric Series

7.4 Mathematical Induction

7.5 The Binomial Theorem

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 8            Counting and Probability

8.1 Sets and Counting

8.2 Permutations and Combinations

8.3 Probability

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Answers

Index
 

Pearson Education

 

 

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