MATH 5111 (Advanced Algebra I)

Teaching Site >

Class Schedule

  Lecture
Time Mon, Wed 10:30 - 11:50
Venue Rm 2463, Lift 25-26
Instructor Guowu Meng
Office 3484
Phone 2358-7451

Textbook


Algebra (Graduate Texts in Mathematics S. v. 211) Edition: 3rd Revised edition

COURSE CONTENTS

A large part of Chapters I - V and Chapter XVI will be covered.

  1. Group Theory - Basic Facts
  2. Categories - Basic Facts
  3. Groups Actions
  4. Sylow Theory
  5. Sums and Products
  6. Finite Abelian Groups
  7. Commutative Rings - Basic Facts
  8. Localizations
  9. Modules - Basic Facts
  10. Exact Sequences
  11. Free Modules
  12. Hom, Projective Modules, and Ext
  13. PID's, UFD's, and Euclidean Domains
  14. Finitely Generated Modules Over PID's
  15. Polynomial Rings
  16. Tensor Products
  17. Field Theory - Basic Facts

HOMEWORK

There are numerous exercise problems from the textbook, you can do as many of them as you wish. If you wish to keep your work load at minimal, you need to do the exercise problems assigned in class.

GRADING POLICY

Your final grade will be determined by the two exams.

Extra Reading