Chapter 1 - Relationships
- About this Chapter
- Section 1.1 Related Variables
- 1.1.1 The Word "Function"
- 1.1.2 Variables and Data
- 1.1.3 Scatter Plots
- Section Summary
- Exercises
- Problems
- Section 1.2 Mathematical Models
1.2.1 Finding Models- 1.2.2 Independent and Dependent Variables
- 1.2.3 Representing Relationships
- Section Summary
- Exercises
- Problems
- Section 1.3 Terminology
- 1.3.1 Relations and Functions
- 1.3.2 Dichotomies
- 1.3.3 Words
- Section Summary
- Exercises
- Problems
- Section 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
- Problems
- Section 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
- Problems
- Section 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
- Problems
- Chapter Summary
- Chapter Review
- Concepts and Applications
- Project 1: Be a Pedometer