Archive for April, 2008

Click on the link below to see the exam 3 review questions (the same questions already posted here) as a Microsoft Word document.

Exam 3 review

I’ll the in the UC Lounge (or nearby if it’s noisy) from 1:30-3:00 today.

SK

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Excel:
  a. Finding an inflection point numerically
  b. Income streams
     i. Future value of an income stream, given a rate of investment (payment rate).
    ii. Rate of investment (payment rate) required to reach a future goal.

Non-Excel:
  a. Algebraic Derivatives, in particular those that use the chained version of
     derivative rules.
  b. Related rates, using the following outline.
     1. Write the equation relating the relevant quantities
     2. Take the derivative of this equation.
     3. Use the information provided to find as many values and rates of change as you can
     4. Solve for the unknown rate of change, which should be the only remaining unknown.
  c. Interpreting second derivatives and inflection points (e.g., "growth rate has peaked")

Remaining for final exam:
  a. Notation for total accumulation (the "definite integral")
  b. The fundamental theorem of calculus:
       Future value equals initial value plus accumulated change.
       F(<end time>) = F(<beginning time>) + accumulation from beginning to end of F’(t).
       Accumulation from beginning to end of F’(t) = F(<end time>) = F(<beginning time>).
       Accumulation from beginning to end of g(t) can be found in two steps:
         1. Find a function F so that F’(t) = g(t).
         2. Compute F(<end time>) - F(<beginning time>)

For several reasons, I’m postponing exam 3 until Monday, April 29. We can then use part of Friday’s class as a "lab" to practice Excel skills before the exam (so bring your laptop on Friday). And I’ll hold weekend office hours to help compensate for the office hours I’ve rescheduled around meetings lately.

If the postponement is a problem for you, please let me know.

For Wednesday, please turn in solutions to these exercises
Section 3.4: 9, 11, 15, and 31.

Also, read section 4.4 of the text.

My office hour tomorrow (Monday) will be later than usual. I’ll be in my office from 11:30-12:30. On Tuesday, I can be available most of the day by appointment.

I’ll be in the UC Lounge (or nearby if the lounge is noisy) tomorrow, Sunday the 13th, for office hours from 1:30 until 3:00. Feel free to stop by with questions.

Read sections 4.1 and 4.2. Exercises to prepare for the next quiz (possibly on Friday): page 251, #11, 17, 19, 25.