Chapter 1: Functions and Models

Class Notes

• 1.1 Function Representations (pdf)
• 1.2 Functions and Models (pdf)
• 1.3 New Functions from Old (pdf)
• 1.4 Graphing with a Computer Algebra System (pdf)
• 1.5 Exponential Functions (pdf)
• 1.6 Inverse Functions and Logarithms (pdf)
• 1.7 Parametric Curves (pdf)

Homework

• 1.1 -- 2, 3 (Northridge earthquake), 5, 7, 9, 11, 15, 17, 19 (cell phone subscribers), 20 (Dallas temperatures), 29, 37, 43, 55, 58, 61, 64
• 1.2 -- 10 (surface temperature), 15 (crickets), 17 (water pressure), 19, 20 (scatter plots), 22 (crickets), 23 (Olympic pole vault), 25 (world population)
• 1.3 -- 13, 15 (graphing f composed with g), 26 (variable star Delta Cephei), 29, 45, 50, 55 (ship)
• 1.4 -- 1, 7, 17, 26, 30 (bullet-nosed curves)
• 1.5 -- 17, 23, 26 (bacteria population), 27 (bismuth isotope, Bi)
• 1.6 -- 20, 27, 33, 43, 57 (bacteria population), 59 (transformations)
• 1.7 -- 17, 20, 40 (projectile)

Review

Use the following exercises to review and test your understanding of the material in Chapter 1. This is not homework, and there is nothing to hand in from this activity.

• Review Exercises, Chapter 1, pp. 84--85 -- 1, 3, 8, 10, 16, 18, 22, 27, 28, 33

Mathematica Notebooks

The following Mathematica notebooks are available in two formats. Download the Mathematica notebooks (nb) to your machine and use Mathematica to interpret their contents, or click on the web page link (html) to see a static image of the evaluated notebook.

• 1.1 Graphing Functions and Discrete Data nb html
• 1.1 Function Representations nb html
• 1.2 Mathematical Models nb html
• 1.3 New Functions from Old Functions nb html
• 1.4 Graphing with Computers nb html
• 1.5 Exponential Functions nb html
• 1.6 Inverse Functions and Logarithms nb html
• 1.7 Parametric Curves nb html