• Chapter 1 - Relationships
  • 1.1 Related Variables
    • 1.1.1 The Word "Function"
    • 1.1.2 Variables and Data
    • 1.1.3 Scatter Plots
    • Section Summary
    • Exercises
  • 1.2 Mathematical Models
    • 1.2.1 Finding Models
    • 1.2.2 Independent and Dependent Variables
    • 1.2.3 Representing Relationships
    • Section Summary
    • Exercises
  • 1.3 Terminology
    • 1.3.1 Relations and Function
    • 1.3.2 Dichotomies
    • 1.3.3 Words
    • Section Summary
    • Exercises
  • 1.4 Functions as Objects
    • 1.4.1 Doing Versus Being
    • 1.4.2 Additive Functions
    • 1.4.3 Multiplicative Functions
    • 1.4.4 Symmetries: Odd and Even Functions
    • Section Summary
    • Exercises
  • 1.5 The Algebra of Functions
    • 1.5.1 Sums, Products, Differences, Quotients of Functions
    • 1.5.2 Inverse Functions: Car Payments
    • 1.5.3 Tabular Representation of Inverse Functions
    • 1.5.4 Graphical Representation of Inverse Functions
    • 1.5.5 Symbolic Representation of Inverse Functions
    • 1.5.6 Logarithms
    • Section Summary
    • Exercises
  • 1.6 What's Significant About a Digit?
    • 1.6.1 A Cautionary Tale
    • 1.6.2 Accuracy of Measurements
    • 1.6.3 Accuracy of Calculating Devices
    • 1.6.4 Loss of Significance
    • 1.6.5 How to Tell Whether a Digit is Significant
    • Section Summary
    • Exercises
  • Chapter Summary
    • Chapter Review
    • Concepts and Applications