MIDTERM EXAM for MAT203 Spring 2007

Time : 8:20AM-9:40AM
Date: March 8th 2007
Place : In class.

Integration tables will be supplied. But you need to know integration by parts and integration by substitution.
A table showing values of cos and sin will be supplied. But you are required to know simple trigonometric identities ( e.g. sin sqaured and cos squared add up to 1, tan is sin over cos ... )

What to study for the midterm.

I consider 12.4- 13.8 as the most important part of the midterm. So this portion of the exam is assigned the largest score.13.1 and 11.6 is excluded. But knowing how to picture graphs of multivariable functions will certainly help you to understand other sections. (For example, to do problems in 13.7, it helps to understand what a level surface is.) Here is the breakdown of the score and the guide to what to study.

Total score being 100,
1. 30 points are assigned to 11.1 - 12.3 excluding 11.6
For this part, I will only put problems from homework assignments ( but exclude 11.2 39 11.3 49 11.4 46 11.7 3,10 12.1 26,28,35,61,65) with slight modifications (e.g. change the numbers or change sin x to cos x etc.) This is to unburden you so that you can invest more time to study the remaining part of the exam.

2. 20 points are assigned to 12.4-12.5
You will be given a curve in 2 dimensions. You will be asked to compute its unit tangent vector, principal unit normal vector and curvature.  You might also be asked about arc length of a some curve in 3 dimensions. The computations in this section can be quite lengthy. Practice some exercises. Ignore the rest, e.g. acceleration, since we haven't covered it in class.

3. 50 points are assigned to 13.3 and 13.5-13.8
You see that  until this point, I have been really specific about what problems will appear on the exam. But for this section, I will not be so specific. This means you'll have to really understand what's going on. I will just put problems from sections 13.5-13.8. Section 13.3 will be implicitly included, since one needs to know 13.3 order to do problems in 13.5-13.8. You will have to read through 13.5-13.8, understand each example and work on exercises. Not a great guideline you might say, but  I think studying just 4 sections to get half of the exam prepared is getting a raw deal.
13.5 EVERY EXAMPLE  IS IMPORTANT 
13.6 Skip  example 6.
13.7 Do only example 2 and 3. The question from 13.7 will closely resemble one of these examples.
13.8 Skip example 4 and 5. You need to know second derivative test in 13.8.

Since so many of you have been doing so well on the homeworks and quizzes, I expect high scores from this midterm. Keep up the good work!

Additional Comment : My office hour on Tuesday March 6th 10:00AM to 11:00AM will be held in MLC as usual. There will be another extra office hour on Wednesday March 7th, from 2:20PM to 3:20PM at the Math department Commons room (this room is located at the 4th floor of the Math tower.). However, none of these office hours are review sessions. So you bring the questions, and I will attempt to explain it. That's all I'll do in the office hours. I think the above guideline is good enough to help you study on your own. Any attempt to get more information about what problems will appear on the midterm will not be greeted.