Day 02 in MAT227

Today:

• Announcements:
  • Calculus lab, ST 343. Hours (to start -- subject to change):

       Monday: 12:00-3:00pm
      Tuesday:  8:30am-2:00pm and 5:00-7:30pm
    Wednesday: 12:00-3:00pm
     Thursday:  8:30am-2:00pm and 5:00-7:30pm
    

  • These are some of the fundamental things I expect you to recall from your earlier calc days:
    • classes of important functions (e.g. linear, quadratic, general polynomials, rational functions, trig functions)
    • limits
    • linearization, tangent lines, secant lines
    • rates of change (instantaneous and average)
    • derivatives and differentiation (algebraic, basic rules, the limit definition, how reflected in curves, higher order)

      Hopefully you remember some of the applications of derivatives (or higher derivatives): for example, derivatives become the central issue in this article on sea level rise.

• So today we get started on the 30/20/25 program:
  • First 30 minutes: answering your questions. These may have everything to do with particular skills. Your homework problems may ask you to work on those skills, so you will have questions about them.

  • Next 20 minutes: you will need your notebook in which you will take notes on this process. For each entry you should have the following:
    1. Date
    2. Question
    3. Group member names
    4. Solution strategy or strategies proposed.
    5. Analysis of the process.
    We'll spend about 20 minutes on this phase.

  • Then, for the final 25 minutes, we'll switch to a class discussion of the proposed solution(s).

• Questions from section 5.1? Some possible topics:
  • Summation formulas
  • Limits of summations (power sums)
  • Putting these formulas into your calculator.

• Lab for Section 5.1: Approximating and Computing Area