Final Exam

Location: Altgeld 147

Time: Friday, August 6, 2009, 1-3 PM

General Outline: There will be 8 regular problems and 1 extra credit problem. All materials during this semester will be on the exam. However, the following 2 topics will NOT appear on regular problems:

1. 8.8 Material

2. Precise definition of limit of a sequence, presented in 8.1

These topics can only appear on extra credit problem. But please note that extra credit problem is NOT limited to these 2 topics.

Initial plan of distribution of regular problems is the following:

1 trig. Substitution.

1 absolute convergence vs. conditional convergence.

1 improper integral.

2 series convergence determination using any of the skills introduced in chapter 8.

1 error estimate.

1 power/Taylor series.

1 polar coordinate / parametric equations related probems..

Note that although integration by part and partial fraction technique are not listed above, they might be necessary to evaluate some integrals when doing above problems. You also need to know how to sketch polar equations of those 3 types I introduced in class.

Background Knowledge: You are required to know all background knowledge for the 3 midterms, posted on the course webpage for each exam. Again, you are expected to recall Taylor series of e^x, sinx, cosx, lnx right away.

What to Study?: The source for me to make up problems is all 13 homeworks. So again, if you can do ALL homework problems easily, you should not have problems on the exam.

Grade Boost Opportunity: If you score more than 90% (raw score, uncurved) on the final exam, you final grade, which is determined AFTER choosing the higher of scheme A and B, and AFTER curving, will be boosted by one letter grade (ie. C -> B, B -> A … etc) until you get an A. This option will NOT boost your grade to A+, which I have not decided to assign.