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>)

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