Calculus Assignment 4

Date Assigned: Wednesday, January 27, 1999

Date to turn in: Wednesday , February 3, 1999

  1. Reveiw Exercises pages 314-315 -  47-55 odd
  2. Section 7.1 - 1,5,9,13,17,21,25,29,33,37,41
  3. Section 7.2 - Every other odd problem from 3 to 39
  4. Read Sections 7.3 and 7.4
  5. For the mathematically well prepared who are interested in mathematical modeling, continue working on ,  the section called Focus on Modeling and try some of the problems
 

General Goals for the class:

Section 7.1  covers the guess and check method for finding antiderivatives.  The idea is that you look at a problem, you recognize part of it and make a good guess about the antiderivative.  Differentiate it and if all goes well, you adjust constants and get the results you want.  If all doesn't go well, well then you make another guess and try again.   Tho other method it covers is call substitution.  It is just a glorified way of doing the chain rule backwards.  It gives you some more concrete things to try.

Section 7.2  is call substitution II.  In this section, other slightly more complicated substitutions are covered.  These in general are not just the chain rule in reverse.  I'm sure you will grow to love it.