Spring 2012, Math 582: Algebra III (Call No. 16608).

Time/Location: MWF: 1:30-2:18, University Hall 0090
Instructor: Hsian-Hua Tseng
Office: 642 Math Tower
Office Phone: 614-292-5581
E-mail: hhtseng-at-math-dot-ohio-state-dot-edu
Office Hours: MW 12:30-1:18pm, or by appointment.


Textbook: Math 582 course notes by R. Solomon (available at OSU bookstores, Barnes & Noble, and SBX)

Description: This course is devoted mostly to the study of fields and Galois theory, which is motivated by the desire to solve polynomial equations. The plan is to follow the textbook fairly closely.


Grading: Weekly Homework (40%) + Midterm 1 (15%) + Midterm 2 (15%) + Final exam (30%).

Midterm 1: April 18 (Wednesday), in class. The exam covers everything discussed until the April 11 lecture (inclusive), including Homeworks 1 and 2. Solutions.

Midterm 2: May 16 (Wednesday), in class. The exam covers everything discussed until the May 09 lecture (inclusive), including homeworks 1--5 (not 6). Solutions.

Final Exam: June 5 (Tuesday), 1:30-3:18pm. The exam covers everything discussed, including homeworks and past exams. See here for exam scheduling.

Homework Assignments: updated periodically.

 Homework 1 (due April 9): Chapter 1, Exercise 1, 4, 8a, 8c, 8d, 11. Solutions.

 Homework 2 (due April 16): Chapter 2, Exercise 1, 2a, 4a, 5, 6. Solutions.

 Homework 3 (due April 23): Chapter 3, Exercise 2, 9. Solutions.

 Homework 4 (due April 30): Chapter 4, Exercise 8b, 9. Solutions.

 Homework 5 (due May 7): Chapter 5, Exercise 4, 5, 6, 7, 10. Solutions,

 Homework 6 (due May 14): Chapter 6, Exercise 2, 3, 4. Solutions.

 Homework 7 (due May 23): Chapter 7, Exercise 2, 3, 6. Solutions.

 Homework 8 (due never): Chapter 8, Exercise 8. Solutions.