Math 1572H Honors Calculus Spring Semester 2002

Assignment 9 - Due Thursday 4/4/2002

We have the second mid-term exam coming up on Monday 4/1/02. Because I anticipate I will be doing review on Friday and the exam is on Monday, I have decided that there will be no quiz in the recitation on April 4, and no homework to be handed on that day either.

The material to be covered in the exam is sections 10.6-10.8, 12.1-12.4, 13.1-13.8. You do not need to know about the technical definition of the limit of a sequence in terms of e or the proofs of things like L'Hopital's rule, or proofs of the comparison tests for improper integrals and series. There will not be any questions like the two extra questions where you had to select the statement which means that a sequence does not tend to a limit, or find a number so that the terms in the sequence were within a specified distance from the limit from that point on. We also have not done Euler's constant, in section 13.6 and in 13.7 we are not doing the root test. What you do have to do, as always, is to use these mathematical tools and show correct mathematical manipulation in deducing results.

You may use a calculator in this exam. You may not use the book or notes. The first page of the exam contains a list of formulas.

Here are some extra questions, which you do not have to hand in:

Assignment 10 - Due Thursday 4/11/2002

Read: Simmons, Sections 14.1, 14.2, 14.3, 14.4.

Exercises:
Sec. 14.2: 2*, 4, 6*, 14, 16, 18, 22*, 24, 26*
Sec. 14.3: 1, 1a*, 2, 3, 3a*, 4
Sec. 14.4: 4, 4h*, 5, 6, 7, 8*, 12*, 13, 14, 15, 18a*