Drew University Math 2

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>)

On Friday, April 4, there will be an optional, but highly recommended two-part “second chance” exam on selected topics from the earlier exams.

Topics: The topic of the first part will be logistic modeling in Excel. Bring your Drew laptop to the exam if you plan to take the Excel part! The second part will contain several questions that require finding derivatives using the rules from chapter 3 of the text.

Grading: Your score on the two parts of Friday’s exam will be compared to your first two exam scores. If a “second chance” score is higher, your earlier score(s) will be raised. (The specific effect on your score will depend on both your old and new exam scores and will favor the better second-chance score. For example, if you got a D on exam 1 and an A- on its second-chance replacement, your recorded exam 1 grade will be a B.)

Are Friday’s retests required? No, but they can’t hurt you. If you do worse on Friday than you did the first time around, your grades will stay the same. You also have the option of taking only one part of Friday’s two-part exam.

Upcoming Office Hours: Thursday, April 3, 11:00-12:30 (other times by appointment), and Friday, April 4, 10:30-11:20. Note that Friday’s office hour is earlier than my regular Friday office hour, which I can’t make because of a meeting.

Feel free to ask questions about any of these by e-mail, office hours, or in class on Monday.

I will be available for office hours tomorrow (Tuesday, February 26) from 1045 to noon.