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College Algebra Crash Course

Table of Contents from College Algebra, 6th Edition by James Stewart, Lothar Redlin, and Saleem Watson — formatted for a WordPress post, including clear headings and structure for SEO.


Chapter 1 — Equations and Graphs


  • 1.1 The Coordinate Plane
  • 1.2 Graphs of Equations in Two Variables
  • 1.3 Lines
  • 1.4 Solving Equations Graphically
  • 1.5 Modeling with Equations
  • 1.6 Solving Quadratic Equations
  • 1.7 Solving Other Types of Equations
  • 1.8 Solving Inequalities
  • 1.9 Solving Absolute Value Equations and Inequalities
  • Chapter 1 Review
  • Chapter 1 Test
  • Focus on Modeling: Fitting Lines to Data

Chapter 2 — Functions

  • 2.1 Functions
  • 2.2 Graphs of Functions
  • 2.3 Getting Information from the Graph of a Function
  • 2.4 Average Rate of Change of a Function
  • 2.5 Transformations of Functions
  • 2.6 Combining Functions
  • 2.7 One-to-One Functions and Their Inverses
  • Chapter 2 Review
  • Chapter 2 Test
  • Focus on Modeling: Modeling with Functions

Chapter 3 — Polynomial and Rational Functions

  • 3.1 Quadratic Functions and Models
  • 3.2 Polynomial Functions and Their Graphs
  • 3.3 Dividing Polynomials
  • 3.4 Real Zeros of Polynomials
  • 3.5 Complex Numbers
  • 3.6 Complex Zeros and the Fundamental Theorem of Algebra
  • 3.7 Rational Functions
  • 3.8 Modeling Variation
  • Chapter 3 Review
  • Chapter 3 Test
  • Focus on Modeling: Fitting Polynomial Curves to Data

Chapter 4 — Exponential and Logarithmic Functions

  • 4.1 Exponential Functions
  • 4.2 The Natural Exponential Function
  • 4.3 Logarithmic Functions
  • 4.4 Laws of Logarithms
  • 4.5 Exponential and Logarithmic Equations
  • 4.6 Modeling with Exponential and Logarithmic Functions
  • Chapter 4 Review
  • Chapter 4 Test
  • Focus on Modeling: Fitting Exponential and Power Curves to Data
  • Cumulative Review Test: Chapters 2, 3, and 4

Chapter 5 — Systems of Equations and Inequalities

  • 5.1 Systems of Linear Equations in Two Variables
  • 5.2 Systems of Linear Equations in Several Variables
  • 5.3 Partial Fractions
  • 5.4 Systems of Nonlinear Equations
  • 5.5 Systems of Inequalities
  • Chapter 5 Review
  • Chapter 5 Test
  • Focus on Modeling: Linear Programming

Chapter 6 — Matrices and Determinants

  • 6.1 Matrices and Systems of Linear Equations
  • 6.2 The Algebra of Matrices
  • 6.3 Inverses of Matrices and Matrix Equations
  • 6.4 Determinants and Cramer’s Rule
  • Chapter 6 Review
  • Chapter 6 Test
  • Focus on Modeling: Computer Graphics

Chapter 7 — Conic Sections

  • 7.1 Parabolas
  • 7.2 Ellipses
  • 7.3 Hyperbolas
  • 7.4 Shifted Conics
  • Chapter 7 Review
  • Chapter 7 Test
  • Focus on Modeling: Conics in Architecture
  • Cumulative Review Test: Chapters 5, 6, and 7

Chapter 8 — Sequences and Series

  • 8.1 Sequences and Summation Notation
  • 8.2 Arithmetic Sequences
  • 8.3 Geometric Sequences
  • 8.4 Mathematics of Finance
  • 8.5 Mathematical Induction
  • 8.6 The Binomial Theorem
  • Chapter 8 Review
  • Chapter 8 Test
  • Focus on Modeling: Modeling with Recursive Sequences

Chapter 9 — Probability and Statistics

  • 9.1 Counting
  • 9.2 Probability
  • 9.3 Binomial Probability
  • 9.4 Expected Value
  • Chapter 9 Review
  • Chapter 9 Test
  • Focus on Modeling: The Monte Carlo Method
  • Cumulative Review Test: Chapters 8 and 9

Source: College Algebra (6th Edition) by James Stewart, Lothar Redlin, and Saleem Watson — Cengage Learning, 2013. ISBN 978-1-111-99016-9

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