### Math 511 - Fall 2003

Instructor: Prof. Jianshu Li
Lectures: in 3584

M W 10:00-11:20
Office Hours: Open, Come Any time
Phone : 2358 7437
e-mail: matom@ust.hk

**Textbook and references:**
Primary textbook: Robert B. Ash, *Abstract
Algebra:The Basic Graduate Year* Web Text at http://www.math.uiuc.edu/~r-ash/
Reference: Michael Artin, *Algebra *, Prentice Hall (on 3 day reserve
in the HKUST library)
Reference: Nathan Jacobson, *Basic Algebra I, II*, 2nd edition, W.H.
Freeman (on 3 day reserve)
Reference: Serge Lang, *Algebra * 3rd edition, Addison Wesley (on 3 day
reserve)

** Contents:**
Students should feel comfortable with problems such as the following:
Honors Undergraduate Linear Algebra
Final at http://www.math.ust.hk/~amoy/math511/

The course will proceed through chapters 1, 2, 5, 4 and possibly 3 of Ash's
web-text.

Chapter 1: Group fundamentals

Chapter 2: Ring fundamentals

Chapter 5: Basic Techniques of Group Theory

Chapter 4: Module fundamentals

Chapter 3: Field fundamentals

** Daily summary:**
Diary.

** Homework:**
Assignment 4 (due December 1).
Icosahedron model
| Dodecahedron model
Assignment 3 (due November 5).
Assignment 2 (due October 15).
Assignment 1 (due September 22).