College Algebra with Modeling and Visualization, 6th edition

1. Introduction to Functions and Graphs

• 1.1 Numbers, Data, and Problem Solving
• Checking Basic Concepts for Sections 1.1 and 1.2
• 1.3 Functions and Their Representations
• 1.4 Types of Functions and Their Rates of Change
• Checking Basic Concepts for Sections 1.3 and 1.4
• Summary
• Review Exercises
• Extended and Discovery Exercises

2. Linear Functions and Equations

• 2.1 Equations of Lines
• 2.2 Linear Equations
• Checking Basic Concepts for Sections 2.1 and 2.2
• 2.3 Linear Inequalities
• 2.4 More Modeling with Functions
• Checking Basic Concepts for Sections 2.3 and 2.4
• 2.5 Absolute Value Equations and Inequalities
• Checking Basic Concepts for Section 2.5
• Summary
• Review Exercises
• Extended and Discovery Exercises
• Chapters 1-2 Cumulative Review Exercises

3. Quadratic Functions and Equations

• 3.1 Quadratic Functions and Models
• 3.2 Quadratic Equations and Problem Solving
• Checking Basic Concepts for Sections 3.1 and 3.2
• .3 Complex Numbers
• 3.4 Quadratic Inequalities
• Checking Basic Concepts for Sections 3.3 and 3.4
• 3.5 Transformations of Graphs
• Checking Basic Concepts for Section 3.5
• Summary
• Review Exercises
• Extended and Discovery Exercises

4. More Nonlinear Functions and Equations

• 4.1 More Nonlinear Functions and Their Graphs
• 4.2 Polynomial Functions and Models
• Checking Basic Concepts for Sections 4.1 and 4.2
• 4.3 Division of Polynomials
• 4.4 Real Zeros of Polynomial Functions
• Checking Basic Concepts for Sections 4.3 and 4.4
• 4.5 The Fundamental Theorem of Algebra
• 4.6 Rational Functions and Models
• Checking Basic Concepts for Sections 4.5 and 4.6
• 4.7 More Equations and Inequalities
• 4.8 Radical Equations and Power Functions
• Checking Basic Concepts for Sections 4.7 and 4.8
• Summary
• Review Exercises
• Extended and Discovery Exercises
• Chapters 1-4 Cumulative Review Exercises

5. Exponential and Logarithmic Functions

• 5.1 Combining Functions
• 5.2 Inverse Functions and Their Representations
• Checking Basic Concepts for Sections 5.1 and 5.2
• 5.3 Exponential Functions and Models
• 5.4 Logarithmic Functions and Models
• Checking Basic Concepts for Sections 5.3 and 5.4
• 5.5 Properties of Logarithms
• 5.6 Exponential and Logarithmic Equations
• Checking Basic Concepts for Sections 5.5 and 5.6
• 5.7 Constructing Nonlinear Models
• Checking Basic Concepts for Section 5.7
• Summary
• Review Exercises
• Extended and Discovery Exercises

6. Systems of Equations and Inequalities

• 6.1 Functions and Systems of Equations in Two Variables
• 6.2 Systems of Inequalities in Two Variables
• Checking Basic Concepts for Sections 6.1 and 6.2
• 6.3 Systems of Linear Equations in Three Variables
• 6.4 Solutions to Linear Systems Using Matrices
• Checking Basic Concepts for Sections 6.3 and 6.4
• 6.5 Properties and Applications of Matrices
• 6.6 Inverses of Matrices
• Checking Basic Concepts for Sections 6.5 and 6.6
• 6.7 Determinants
• Checking Basic Concepts for Section 6.7
• Summary
• Review Exercises
• Extended and Discovery Exercises
• Chapters 1-6 Cumulative Review Exercises

7. Conic Sections

• 7.1 Parabolas
• 7.2 Ellipses
• Checking Basic Concepts for Sections 7.1 and 7.2
• 7.3 Hyperbolas
• Checking Basic Concepts for Section 7.3
• Summary
• Review Exercises
• Extended and Discovery Exercises

8. Further Topics in Algebra

• 8.1 Sequences
• 8.2 Series
• Checking Basic Concepts for Sections 8.1 and 8.2
• 8.3 Counting
• 8.4 The Binomial Theorem
• Checking Basic Concepts for Sections 8.3 and 8.4
• 8.5 Mathematical Induction
• 8.6 Probability
• Checking Basic Concepts for Sections 8.5 and 8.6
• Summary
• Review Exercises
• Extended and Discovery Exercises
• Chapters 1-8 Cumulative Review Exercises

R. Reference: Basic Concepts from Algebra and Geometry

• R.1 Formulas from Geometry
• R.2 Integer Exponents
• R.3 Polynomial Expressions
• R.4 Factoring Polynomials
• R.5 Rational Expressions
• R.6 Radical Notation and Rational Exponents
• R.7 Radical Expressions

Appendices

• A: Collaborative Activities
• B: A Library of Functions
• C: Partial Fractions
• D: Percent Change and Exponential Functions