Math 402B: Introduction to Modern Algebra

Professor William McGovern 
Fall 2011


Instructor:
Monty (or William) McGovern
Office: Padelford C-450
Phone: 206-543-1149
Email: mcgovern@math.washington.edu
Grader: Pal Zsamboki,zsamboki@math.washington.edu
Office Hours: TTh 1:30 or by appointment, Padelford C-450; grader office hours Th 4-5, grader office ART 336
Lectures:
Monday, Wednesday & Friday, 9:30-10:20 a.m., Mueller Hall 155
Prerequisites:
Math 307 or the equivalent. 
Exams:

1st Midterm: Friday, October 21, in class.
2nd Midterm: Friday, November 18, in class.
Final: Wednesday, December 14, 8:30 a.m., in class

Grading:
Your grade will be based on weekly homework, two midterms, and a final, each of these ingredients accounting for 1/3 of the final grade. The homework will require a great deal of writing (as in Math 310), but no essays or papers. 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 in time for class, you can always turn it in by 4:00 on the day it is due to Pal Zsamboki's mailbox. Even if you cannot finish the assignment,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:
This course is probably rather different from most of the other math courses you have had in the past, as I will emphasize writing proofs in good English prose rather than numerical computations throughout (similar to Math 310). I will cover group theory (chapters 2, 6, and 7) together with some unexpected and beautiful geometric applications. I will try to stay reasonably faithful to the text, but will certainly not follow it page by page. In particular, I will feel free to omit certain topics, present others slightly differently than in the text, and cover still others not in the text at all.

             Homework

Due:
Problems:
Sep 30
2.1.3; 2.2.3,6; 2.4.2,3: skim Chapter 1,read 2.1-2.4
Oct 7
1.5.1; 2.4.4,5; 2.6.2,5: read 1.5,2.5,2.6
Oct 14
2.5.6; 2.8.3,5; 2.11.1; 2.12.4: read 2.8-2.12
Oct 21
study problems, first midterm: 2.4.7,9; 2.8.6; 2.11.5,6: review Chapter 2, read 5.1,6.1
Oct 28
5.1.3; 5.M.1; 6.3.1; 6.4.1,3: read 6.1-6.4
Nov 4
6.5.1; 6.7.1,2; 6.8.1,4: skim 6.5-6; read 6.7-8
Nov 14(MON)
6.7.7,8; 6.11.6,8; 6.12.7: read 6.9-12, 7.1-2
Nov 18
study problems, second midterm: 6.11.2; 6.12.5; 7.3.1,3; 7.4.7: read 7.3-7.6
Nov 23
study problems: 7.2.2,3,7,12,13: read 7.7
Dec 2
7.2.13; 7.7.1,2,5: 7.8.6: read 7.8-10
Dec 9
study problems, final: 2.8.7; 6.M.4; 7.2.17; 7.7.3; 7.8.4: read 7.11


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