Instructor: |
Monty (or William)
McGovern
Office: Padelford C-450 Phone: 206-543-1149 Email: mcgovern@math.washington.edu Office Hours: TTh 1:30 and by appointment, Padelford C-450 |
Lectures: |
Monday, Wednesday & Friday, 11:30-12:20 p.m., Sieg Hall 224 |
Prerequisites: |
Math 327 or the equivalent. |
Exams: |
1st Midterm: Friday, April 20, in
class. |
Grading: |
Your grade will be based equally on homework, two midterms, and a final. In case you must miss a midterm, I would very much appreciate ADVANCE NOTICE so that other arrangements can be made to take it. If you cannot complete a homework assignment on time, you can always turn it in by 3:00 on the day it is due to the grader's mailbox (announced later). PLEASE turn in WHATEVER YOU CAN rather than nothing. In all tests you may use two letter-sized pages (one sheet front and back of notes in your own handwriting). |
Incompletes and Drops: |
The grade of Incomplete will be given ONLY if a student has been doing satisfactory work until the end of the quarter and then misses the final exam for a documented illness, religious reason, or family emergency. |
What to Expect: |
We will continue with the theory begun in Math 327, focussing this term on series, differentiation, and integration, in that order. We are using a different text than the usual Taylor-Mann one; this one is actually a course pack (available at the Bookstore) consisting of lecture notes for a similar course offered at the University of Utah and written by Joseph Taylor. Thus the initial material on series may be review for those of you who did not take 327 from me last quarter, but on the other hand we will not be covering material on continuous functions that would have been covered in this course if we were using the Taylor-Mann text. We will cover Chapter 6,4, and 5 from the Taylor notes, in that order. |
Due: | Problems: |
Mar 30 |
6.1.1,5,8,12; 6.2.1: read 6.1, start 6.2
|
Apr 6 |
6.1.13; 6.2.8; 6.3.12; evaluate \sum_{k=1}^infinity (k/2^k);
evaluate \sum_{k=1}^infinity (k^2/2^k): read 6.2,3 |
Apr 13
|
6.3.3,6; 6.5.12,13,15: read 6.4, start 6.5
|
Apr 20 |
study problems, first midterm: 6.4.10,11; 6.5.8; 4.2.11, state
all convergence tests for series carefully and completely: read 6.5,
4.1,2
|
Apr 27 |
4.2.11; 4.3.10,15 (MISTAKE in this problem: give counterexample
and prove the correct part!); 4.4.4,5: finish Chapter 4 |
May 4 |
5.1.1,4,5; 5.2.1,4: read 5.1,2 |
May 11 |
5.2.11,13; 5.3.5,8,10: read 5.3 |
May 18
|
study problems, second midterm: 4.3.2; 4.4.6; 5.3.2,4; 6.5.11
:read 5.4
|
May 25
|
5.4.11,12; evaluate the integral from 0 to infinity of e^{-t^2}
cos xt dt as a function of x, by deriving a differential equation
satisfied by this function and using a result in class: read online
about improper integrals |
Jun 1
|
study problems, final: 6.2.4; 6.4.9; 6.5.4; 4.4.13,14; 5.3.1;
5.4.13: read about gamma function
|