Instructor: |
Monty (or William)
McGovern
Office: Padelford C-450 Phone: 206-543-1149 Email: mcgovern@math.washington.edu Office Hours: W 2:30, Th 1:30 or by appointment Grader Office: Padelford C-34 Office Hours: M 10:30, W 1:30 Grader Email: asup@math.washington.edu |
Lectures: |
Monday, Wednesday & Friday, 9:30-10:20 a.m., Haggett PS005 |
Required Text: |
Abstract Algebra by I. N. Herstein, (Wiley, 1999). |
Prerequisites: |
2.0 in Math 402 or the equivalent. |
Exams: |
1st midterm: Friday, January 29, in
class. |
Grading: |
Your grade will be based on weekly homework, two midterms, and a final exam, each of these accounting for 1/3 of the final grade. The final exam will be comprehensive. If you must miss an exam because of illness or emergency, I would very much appreciate advance notice. If you cannot complete a homework assignment on time, you can always turn it in by 4:00 on the day it is due to the grader's (Amy Supple's) mailbox. 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). class. |
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: |
I will be covering ring theory and some field theory (Chapter 4 and parts of Chapter 5 this quarter, digressing to study primes in the Gaussian integers (not in the text). I will use these to prove a theorem of Fermat that every prime integer congruent to 1 mod 4 is the sum of two squares. |
Due: | Problems: |
Jan 8 |
Problems 4.1.3,8,19,20,23, Chapter 4, p. 133: read 4.1-3 |
Jan 15 |
Problems 4.2.8 (p. 139); 4.3.16,23,26 (p. 146); 4.4.2
(p. 150): read 4.4, start 4.5 |
Jan 22 |
Problems 4.5.14,16,19,25,26 (pp. 164ff.): finish 4.5, read 4.6 |
January 29
|
study problems, first midterm: 4.1.15,4.3.13,4.4.10,4.5.20,4.6.3
|
Feb 5 |
5.1.7,9,10 (p. 179); 5.2.2,3 (p. 189): read 5.1,2 |
Feb 12 |
5.2.5,13,15; 5.3.1,5: read 5.2,3 |
Feb 19
|
5.2.20; 5.3.10; 5.6.2,3,4: read 5.4,5 |
February 26
|
study problems, second midterm: three board problems given in
class; read 5.6 |
Mar 5
|
5.6.11-15: read 6.2-4 |
Mar 12
|
study problems, final: which integers of the form 2^a3^b5^c7^d
are sums of two squares? what are all possible remainders when a
polynomial in Z_2[x] is divided by x^2 + x? what are all possible
Galois groups over F_4?
|