Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: Wednesday 4-6 p.m. in 3-115
Grader: Xin Zhang, e-mail: firstname.lastname@example.org
Feel free to send me or Xin Zhang an e-mail or drop by.
The main goal of this course is to study in detail fundamental concepts and
methods of algebra that are used in all branches of mathematics. During the
second term we cover linear and multilinear algebra, field theory and
foundations of algebraic geometry. We also study Galois theory and
representations of finite groups.
Midterm: Thursday, March 22nd in class
Final: Take-home final. Pick up the problems on Monday, May 7th between 2:30 and 3:30 p.m. in my office (Math 3-115). Return your final on Tuesday, May 8th by 3:30 p.m. in Math 3-115.
HW 1 (due on February 2nd): [DF] 10.5. Problems 8, 14 and 17
HW 2 (due on February 9th): [DF] 17.1. Problems 2, 3, 4 and 5
HW 3 (due on February 16th): [DF] 17.1. Problems 7, 10, 12 and 13
HW 4 (due on February 23rd): [DF] 13.1. Problem 8, 13.2. Problems 1, 7 and 10
HW 5 (due on March 1st): [DF] 13.2. Problems 19, 20 and 21, 13.3. Problems 4 and 5
HW 6 (due on March 8th) [DF] 13.4. Problem 6, 13.5. Problems 6 and 11, 13.6. Problem 8
HW 7 (due on March 15th) [DF] 13.6. Problems 14, 15, 16 and 17, 14.1. Problem 8
Midterm: Thursday, March 22nd, in class.
HW 8 (due on April 10th) [DF] 14.2. Problems 2, 3, 7, 17 and 18
HW 9 (due on April 12th) [DF] 14.3. Problem 8, 14.4. Problem 5, 14.6. Problems 5 (over Q) and 19, 14.7. Problem 3
HW 10 (due on April 19th) [DF] 12.1. Problems 9, 11 and 12
HW 11 (due on April 26th) [DF] 12.2. Problem 4, 12.3. Problem 12
HW 12 (due on May 3rd): Click here
for the problems.
References: Lang, chapters XIII and XIV; Dummit and Foote, Chapter 11.
References: Lang, chapter XX; Dummit and Foote, Part V, 17.
References: Lang, chapter XVII; Dummit and Foote, Part VI; Serre.
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