• 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