## MATH W4042: Introduction to Modern Algebra II

### Spring, 1999

Mondays and Wednesdays, 2:40pm-3:55pm, 417 Mathematics

Dave Bayer (x42643, 426 Mathematics)

Department page |
Bulletin page

http://www.math.columbia.edu/~bayer/S99/algebra.html

**Final grades have been assigned: **Grades (password required)

**Prerequisite: **MATH W4041: Introduction to Modern Algebra I.

**Text:** *Algebra*, by Michael Artin. Prentice Hall, 1991, ISBN 0-13-004763-5.
(Amazon.com)

This semester we will cover chapters **10, 11, 12, 13, 14**.

**Exams:** There will be two exams (30 points each) and a final (40 points).

**Office Hours:** Until May 3, my office hours are Mondays and Wednesdays,
4:00pm-5:00pm and 7:30pm-8:00pm. I will often be around at other
times in the afternoon; stop by, or check by email or phone.

**Greg Langmead** (408 Math, x45881)
is our TA.
Upcoming review sessions:

- Wednesday, May 5, 9am - 12 Noon, help room hours, Greg

- Wednesday, May 5, 2:30pm - ?, review session, 405 Math, Greg

- Monday, May 10, 8pm - 10pm, review session, 507 Math, Dave

- Tuesday, May 11, 12 Noon - 1pm, review session, 528 Math, Greg

- Wednesday, May 12, 9am - 12 Noon, help room hours, Greg

**Practice Exams:** The following course materials are posted in Acrobat .pdf format. Your browser
can be trained to automatically open these files with Acrobat Reader, a free program which you can
download from http://www.adobe.com/acrobat/.

Acrobat files:
TeX sources:
midterm1.tex,
extrapage.tex,
practice2.tex,
midterm2.tex,
pracfinal.tex,
final.tex.

**Homework:** Homework will be assigned throughout the semester.

**10.1** 1,2,3,5,8,11,12

**10.2** 6,7

**10.3** 2,5,7,19

**10.4** 2,3,7

**10.5** 1,2,6,7,9

**10.6** 1,2,7

**10.7** 1,2,3,5,6,7

**10.8** 1,2,5,7

**11.1** 1,3,4,6,8,9

**11.2** 1,2,3,7,8

**11.3** 1,5,7,9

**11.4** 1,2,3,14

**11.5** 2,3,4

**Theorems:** Be able to reproduce the proofs of 1.4, 1.8, 2.3, 4.2, 4.5.

**12.1** 6,7

**12.2** 1,3

**12.4** 1,3

**12.5** 1,2

**12.6** 1,2,3,4

**12.7** 1,2,3,4

**13.1** 3

**13.2** 1,3

**13.3** 7,8

**Theorems:** Be able to reproduce the proofs of 3.3 and 3.4.

The course materials from
Spring '98 are also available online.