Date: May 10th 2007
TIme: 8:00 AM - 10:30 AM
Place: HARRIMAN HALL
137
Review for final : Saturday May 5th 10AM-12:30PM at Math Tower P131
Total score of final is 200 points. Integration table and sin cos table will be given as in the midterm.
All the chapters that was covered in the midterm
All
the material from the previous exam is INCLUDED, but only implicitly. "Implicitly" means
that none of the material will appear as an independent problem. For example
while you might need to know how to find the gradient of a function to
solve some problems(e.g. when one calculates the unit normal vector of a surface),
there won't be any problem that will test solely on calculating gradient of
a function. There is one exception however, 13.5 WILL appear on the exam as
an independent problem although no more than 10 points will be allotted. My
advice is that you should study by solving problems from 13.10 and
after, and then whenever something from the previous chapters appears, go back
and study them. (Curvature will not appear on the exam, as it has no relation
to the materials thereafter.)
What type of problems to expect from each chapter
13.10 Example 3 and exercise 15-18
14.2 Exercise 49-52
14.3 Converting a rectangular coordinate double integral to a polar coordinate integral (See Exercises 15-22)
14.4 Exercises 11,15,19,21
14.6 Exercise 23-26
14.8 Example 3
15.2 Very important. Any problems similar to Exercises 37,38,43,44,55,56,57,59 can appear.
15.3 Example 2
15.4 Very important. Exercise 11-20 with boundaries oriented counterclockwise. (What happens if the boundaries are oriented clockwise?)
15.6 Exercises 15,17,25,29
15.7 Example 2 and exercises 1-4
15.8 Example 2 and exercises 7-10
Notice that there are chapters not discussed here, e.g. 14.5. This means that no problems from that chapter will appear independently, but you will still need to study those chapters in order to solve problems from other chapters, e.g. one needs to know 14.5 in order to solve some problems in 15.6.
Additionally,
1. there will be the announced proof question.
2.
(page 1094-1095) state the two alternate form of the Green's theorem (you do
not need the proof)
3. One tricky problem will appear from either 15.4 or 15.7.