Math 200b Winter 2011



Name Office E-mail Phone Office Hours Lecture Time Lecture Place
Prof. Daniel Rogalski AP&M 5131 534-4421 M 12-1pm, T 11am-12pm MWF 11-11:50pm AP&M 5402

Teaching Assistants:

Name Office E-mail Office Hours
Joel Dodge 6351 AP&M W 3-4pm, Th 1-2pm

Course description:

This is the second quarter of the three-part graduate algebra sequence. We will cover modules and fields. The qualifying exam will be based (mostly) on the material covered in the first two quarters of the class. (Some topics from the first half of the third quarter might also be covered on the qual.)


D. Dummit, R. M. Foote, Abstract Algebra, 3rd edition.


I will assign grades considering your record on homework and exams as a whole. Letter grades in graduate classes are really just advisory. Your grade in this class is meant to reflect how your current performance corresponds to your likely result on the qualifying exam to be held in the spring: A = PhD Pass, A- = Provisional PhD Pass, B+/B = Master's Pass, C = work not up to the level of a passing grade on the qual.


The midterm will be in class on Wednesday February 9 (week 6). The final exam will be Monday March 14, 11:30-2:30.


The homework will be due weekly, to be submitted on Fridays by 5pm in the homework box set up by Joel (same procedure as the fall quarter). The first homework set will be due the Friday of week 2.

What we plan to cover:

Generally, we will cover portions of chapters 10-14 in the text. The first three weeks or so will concentrate on module theory, and will cover 10.1-10.3 and 12.1-12.3. We will also eventually cover section 10.4 on tensor products; it will either be slotted in later this quarter if there is time or covered next quarter. We will not really cover chapter 11 (I hope you have seen some portion of 11.1, 11.2, 11.4 in an undergraduate course), but will review a few topics in that chapter relevant to our study of canonical forms in chapter 12. The remainder of the quarter will concentrate on field theory and we will cover Chapters 13-14 as fully as possible (though we may not cover things in exactly the same order as the text.)

Lecture Summaries