College Algebra: Building Skills and Modeling Situations

• Preface to Instructors
• Preface to Students
• XYZ Learning Strategies   New
  • Chapter Introduction
  • Learning Styles and Study Plans
  • Growth Mindset: Growth, Resilience, Hardiness, Grit
  • Reading and Cognitive Techniques
• 1 - Algebra Review
  • Chapter Introduction
  • 1.1 - Definitions, Properties, and Simplifying Expressions
  • 1.2 - Exponents and Scientific Notation
  • 1.3 - Polynomials: Sums, Differences, and Products
  • 1.4 - Review of Factoring
  • 1.5 - Rational Expressions
  • 1.6 - Roots and Radicals
  • 1.7 - Complex Numbers
  • Chapter Test & Summary
• 2 - Solving Equations and Inequalities
  • Chapter Introduction
  • 2.1 - Linear and Quadratic Equations, and Formulas
  • 2.2 - More Quadratic Equations and Formulas
  • 2.3 - Additional Equations and Formulas
  • 2.4 - More Applications and Modeling
  • 2.5 - Linear, Quadratic, and Rational Inequalities
  • 2.6 - Equations and Inequalities with Absolute Value
  • Chapter Test & Summary
• 3 - Functions and Graphs
  • Chapter Introduction
  • 3.1 - Paired Data and Graphing
  • 3.2 - Introduction to Functions and Relations
  • 3.3 - Function Notation and More Graphing
  • 3.4 - Transformations and Other Graphing Techniques
  • 3.5 - Algebra and Composition with Functions
  • Chapter Test & Summary
• 4 - Slope, Rates of Change, and Linear Functions
  • Chapter Introduction
  • 4.1 - The Slope of a Line
  • 4.2 - Linear Functions and Equations of Lines
  • 4.3 - Linear Regression
  • 4.4 - Variation
  • Chapter Test & Summary
• 5 - Polynomial and Rational Functions
  • Chapter Introduction
  • 5.1 - Quadratic Functions
  • 5.2 - Division with Polynomials
  • 5.3 - Zeros of a Polynomial Function
  • 5.4 - Graphing Polynomial Functions
  • 5.5 - Graphing Rational Functions
  • 5.6 - Solving Polynomial Equations
  • Chapter Test & Summary
• 6 - Exponential and Logarithmic Functions
  • Chapter Introduction
  • 6.1 - Exponential Functions
  • 6.2 - The Inverse of a Function
  • 6.3 - Logarithms are Exponents
  • 6.4 - Properties of Logarithms
  • 6.5 - Common Logarithms and Natural Logarithms
  • 6.6 - Exponential Equations and Change of Base
  • Chapter Test & Summary
• 7 - Systems of Equations
  • Chapter Introduction
  • 7.1 - Systems of Linear Equations in Two Variables
  • 7.2 - Systems of Linear Equations in Three Variables
  • 7.3 - Introduction to Determinants
  • 7.4 - Cramer's Rule
  • 7.5 - Matrix Solutions to Linear Systems
  • 7.6 - Applications and Modeling
  • 7.7 - Inequalities and Systems of Inequalities in Two Variables
  • Chapter Test & Summary
• 8 - Sequences and Series
  • Chapter Introduction
  • 8.1 - More About Sequences
  • 8.2 - Series
  • 8.3 - Arithmetic Sequences
  • 8.4 - Geometric Sequences
  • 8.5 - The Binomial Expansion
  • Chapter Test & Summary
• 9 - Conic Sections
  • Chapter Introduction
  • 9.1 - The Circle
  • 9.2 - Ellipses and Hyperbolas
  • 9.3 - Second-Degree Inequalities and Nonlinear Systems
  • Chapter Test & Summary
• 10 - Statistics and Probability
  • Chapter Introduction
  • 10.1 - Statistics: Mean, Median, and Mode, Variance and Standard Deviation
  • 10.2 - Venn Diagrams, Permutations, and Combinations
  • 10.3 - Introduction to Probability and Random Variables
  • 10.4 - Probabilities and Compound Events
  • 10.5 - Mutually Exclusive Events and Their Probabilities
  • 10.6 - Conditional Probabilities: Independent and Dependent Events
  • 10.7 - The Binomial DIstribution
  • 10.8 - The Normal Distribution
  • Chapter Test & Summary
• Answers
• Index