Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: Wednesday 4-6 p.m. in 3-115
Grader: Yi Zhu, e-mail: firstname.lastname@example.org
Feel free to send me or Yi Zhu 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: Tuesday, March 15th in class
Final: Tuesday, May 17th from 2:15 p.m. to 4:45 p.m. in Physics P125
HW 1 (due on Feb 15th): [DF] 17.1. Problems 2, 3, 4 and 5
HW 2 (due on Feb 22nd): [DF] 17.1. Problems 7, 10, 12, 13 and 16
HW 3 (due on March 1st): [DF] 13.1. Problem 8, 13.2. Problems 1, 7 and 10
HW 4 (due on March 8th): [DF] 13.2. Problems 19, 20 and 22, 13.3. Problem 4
HW 5 (due on March 29th): [DF] 13.4. Problem 6, 13.5. Problems 6 and 11, 13.6. Problem 8
HW 6 (due on April 5th): [DF] 13.6. Problems 14, 15, 16 and 17, 14.1 Problem 8
HW 7 (due on April 12th): [DF] 14.2. Problems 2, 3, 5, 7 and 16
HW 8 (due on April 26th): [DF] 14.2. Problems 17, 18 and 23, 14.3. Problem 8, 14.4. Problem 5, 14.6. Problems 5 (over Q) and 19, 14.7. Problem 3
HW 9 (due on May 3rd): Click here
for the problems.
HW 10 (due on May 10th): 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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Students who might require special evacuation procedures in the event of an emergency are urged to discuss their needs with both the instructor and DSS. For important related information, click here.