College Algebra – James Stewart – 4th Edition

Preface
To the Student
Calculators and Calculations

P Prerequisites
Chapter Overview
P.1 Modeling the Real World
P.2 Real Numbers
P.3 Integer Exponents
P.4 Rational Exponents and Radicals
P.5 Algebraic Expressions
DISCOVERY PROJECT Visualizing a Formula
P.6 Factoring
P.7 Rational Expressions
Chapter P Review
Chapter P Test
FOCUS ON PROBLEM SOLVING General Principles

1 Equations and Inequalities
Chapter Overview
1.1 Basic Equations
1.2 Modeling with Equations
DISCOVERY PROJECT Equations through the Ages
1.3 Quadratic Equations
1.4 Complex Numbers
1.5 Other Types of Equations
1.6 Inequalities
1.7 Absolute Value Equations and Inequalities
Chapter 1 Review
Chapter 1 Test
FOCUS ON MODELING Making the Best Decisions

2 Coordinates and Graphs
2.1 The Coordinate Plane
DISCOVERY PROJECT Visualizing Data
2.2 Graphs of Equations in Two Variables
2.3 Graphing Calculators, Solving Equations and Inequalities Graphically
2.4 Lines
2.5 Modeling: Variation
Chapter 2 Review
Chapter2 Test
FOCUS ON MODELING Fitting Limes to Data

3 Functions
Chapter Overview
3.1 What Is a Function?
3.2 Graphs of Functions
3.3 Increasing and Decreasing Functions, Average Rate of Change
3.4 Transformations of Functions
3.5 Quadratic Functions, Maxima and Minima
3.6 Combining Functions
DISCOVERY PROJECT Iteration and Chaos
3.7 One-to-One Functions and Their Inverses
Chapter 3 Review
Chapter 3 Test
FOCUS ON MODELING Modeling with Functions

4 Polynomial and Rational Functions
Chapter Overview
4.1 Polynomial Functions and Their Graphs
4.2 Dividing Polynomials
4.3 Real Zeros of Polynomials
DISCOVERY PROJECT Zeroing in on a Zero
4.4 Complex Zeros and the Fundamental Theorem of Algebra
4.5 Rational Functions
Chapter 4 Review
Chapter 4 Teat
FOCUS ON MODELING Fitting Polynomial Curves to Data

5 Exponential and Logarithmic Functions
Chapter Overview
5.1 Exponential Functions
DISCOVERY PROJECT Exponential Explosion
5.2 Logarithmic Functions
5.3 Laws of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Modeling with Exponential and Logarithmic Functions
Chapter 5 Review
Chapter 5 Test
FOCUS ON MODELING Fitting Exponential and Power Curves to Data

6 Systems of Equations and Inequalities
Chapter Overview
6.1 Systems of Equations
6.2 Systems of Linear Equations in Two Variables
6.3 Systems of Linear Equations in Several Variables
DISCOVERY PROJECT Exact Fit versus Best Fit
6.4 Systems of Inequalities
6.5 Partial Fractions
Chapter 6 Review
Chapter 6 Test
FOCUS ON MODELING Linear Programming

7 Matrices and Determinants
Chapter Overview
7.1 Matrices and Systems of Linear Equations
7.2 The Algebra of Matrices
DISCOVERY PROJECT Will the Species Survive?
7.3 Inverses of Matrices and Matrix Equations
7.4 Determinants and Cramer's Rule
Chapter 7 Review
Chapter 7 Test
FOCUS ON MODELING Computer Graphics

8 Conic Sections
Chapter Overview
8.1 Parabolas
DISCOVERY PROJECT Rolling Down a Ramp
8.2 Ellipses
8.3 Hyperbolas
8.4 Shifted Conics
Chapter 8 Review
Chapter 8 Test
FOCUS ON MODELING Conics in Architecture

9 Sequences and Series
Chapter Overview
9.1 Sequences and Summation Notation
9.2 Arithmetic Sequences
9.3 Geometric Sequences
DISCOVERY PROJECT Finding Patterns
9.4 Mathematics of Finance
9.5 Mathematical Induction
9.6 The Binomial Theorem
Chapter 9 Review
Chapter 9 Test
FOCUS ON MODELING Modeling with Recursive Sequences

10 Counting and Probability
Chapter Overview
10.1 Counting Principles
10.2 Permutations and Combinations
10.3 Probability
DISCOVERY PROJECT Small Samples, Big Results
10.4 Binomial Probability
10.5 Expected Value
Chapter 10 Review
Chapter 10 Test
FOCUS ON MODELING The Monte Carlo Method

Answers
Index
Photo Credits