Math 200B - Schedule

Approximate Lecture Schedule (Dummit and Foote text.)

Week 1 (ending on Jan 13) - Normal Series; Solvable and Nilpotent groups. (3.4, 3.5, 4.6, 6.1)
Week 2 (ending on Jan 20) - Rings - basic notions (7.1-7.6)
Week 3 (ending on Jan 27) - Arithmetic Properties of Rings (8.1-8.2). Polynomial Rings (9.1-9.6).
Week 4 (ending on Feb 3) - Modules (Chpts X-XI)
Week 5 (ending on Feb 10) - Modules (Chpts X-XI)
Week 6 (ending on Feb 17) - Modules (Chpts X-XI)
Week 7 (ending on Feb 24) - Basic Notions of Commutative Algebra (Chpts XV-XVI)
Week 8 (ending on Mar 3) - Basic Notions of Commutative Algebra (Chpts XV-XVI)
Week 9 (ending on Mar 10) - Non-commutative rings (basic notions)
Week 10 (ending on Mar 17) - Non-commutative rings (basic notions)

FINAL EXAM: Tuesday, March 21, 8:00 - 11:00am.

Math 200B - Homework Assignments.

Please hand in your homework at the beginning of your Friday lecture. When writing up your homework assignments, please follow the formatting guidelines (courtesy of D. Meyer and T. Melcher.) Students are allowed to discuss the homework among themselves, but are expected to turn in their own work — copying someone else's is not acceptable. Homework scores will contribute 30% to the final grade. Only selected HW problems will be graded.

Although you are required to turn in only the HW problems marked with a * in the lists below, you are strongly advised to attempt solving as many problems from each section/chapter as possible.

HW 1, due on Friday, Jan 20.
Section 4.6: 3*, 5*, 6*, 7*, 8*
Section 6.1: 1*, 17*, 18*, 19*, 20 (see Proposition 6), 28, 32*

HW 2, due on Friday, Jan 27. (extended to Wednesday, Feb 1)
Section 7.1: 6*, 7, 8, 14*, 15, 12, 23*, 24, 25*, 26*, 27, 28.
Section 7.2: 3, 4, 5*, 6, 7, 8*, 12, 13*
Section 7.3: 2*, 10, 12*, 13, 14, 21*, 29*, 30*, 33*

HW 3, due on Friday, Feb 10.
Section 7.5 3*, 4, 5*, 6*
Section 7.6 8, 9, 10 , 11*
Section 8.1 8*, 9, 10, 12
Section 8.2 5*, 6*, 7
Section 8.3 5*, 6, 7*, 9*, 11*

HW 4, due on Friday, Feb 17.
Section 9.1 10*, 13*, 14
Section 9.2 1, 2*, 3, 4*, 5, 7*, 12
Section 9.3 4*, 5
Section 9.4 10*, 12*, 17, 20*
Section 9.5 1, 2, 3*, 5, 6, 7*

HW 5, due on Friday, Feb 24.
Section 10.1 - 8*, 12*, 15*, 18 (read example on pp. 340-341)
Section 10.2 - 11, 13*, 14
Section 10.3 - 5, 7*, 9, 10*, 11*, 15, 18*, 19, 22*, 24
Section 10.5 - 2* (read Proposition 24, p. 283)

HW 6 - due on Friday, March 3.
Section 10.5: 3, 4, 6*, 8, 10, 11 (except for the statements referring to flat modules),
13*, 14*, 15, 16*, 20, 27, 28*.

HW 7, due on Friday, March 10.
click on Part 1

HW 8, due on Friday, March 17
Section 10.4: 5*, 10, 16*, 19, 23, 24, 26*, 27
Section 10.5: 9, 21*, 24*, 25, 26*.

HW 10 -will not be collected.