Day 2: Calculus with Business Applications

Last Time: Welcome
- Announcements:
  - Your calculator must be a graphing calculator, but even better is a calculus-ready calculator, like a TI-89 or TI-92.
  - I'm going out of town as of 1:00 until Friday morning, so I won't have office hours this afternoon or tomorrow.
  - Note: there are review sections that precede chapter 1. You might want to take a look....
- Assignment for next time: Read 1.2; homework problems: pp. 27-29, #1-4, 8, 9, 14, 15, 18, 19, 22, 27, 35
  The assignments can be found on the assignments page.
Asthma case, slight reprise:
- Critical concept: functions
  - functions take inputs and give outputs
  - Example: Asthma(weather,pollution,pollen,biology)
    inputs are in parentheses; output is Asthma (meaning extent of problem, measured perhaps by FEV (forced expiratory volume).
- %FEV as a function of time
  - Sketch the data/function
  - When is relief the greatest?
  - When is relief the least?
  - What is the average increase in %FEV over 12 hours?
Today:
- Lines: their equations and properties
  - section summary
  - Sample problems (grungy): pp. 14-18, #15, 14, 39, 41, 50
  - Dreaded story problems:
    
    and 68
Next time: Linear functions

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