Math 200 A: Algebra I




Book


Description
This course is an introduction to group theory and ring theory. In the group theory part, finite groups will be discussed mainly, e.g. Sylow theorems, symmetric groups, pgroups, etc. In the ring theory part, we cover even less. We introduce and prove basic properties of a PID, a UFD, etc. Prerequisite: one undergraduate course in group theory and ring theory and a solid background in linear algebra. Students with little or no prior background in algebra should consider taking Math 100 instead. Math 200 courses and the qualifying exam: The algebra qualifying exam which will be given in May 2014 (and September 2014) will be based on the topics that are covered in the Math 200A, B and C. In Math 200B, you will learn about module theory, field theory, etc. In Math 200C, commutative algebra will be discussed (we go through the book written by Atiyah and Macdonald). And only the first three chapters will be needed for the algebra qualifying exam. 

Grading
Homework (30%), Midterm (30%), Final (40%). 

Comments


Schedule


Assignments.
All the assignments are due at 4:00pm on Fridays. You can put your solutions in my mail box or dropby my office and give them to me. There are 6 problem sets. Your cumulative homework grade will be based on the best 5 of the 6.


Exams.
There will be an inclass midterm on November 6. The final exam is 8:00am11:00am December 13. Exams will be posted here. Here is the midterm. Here is the final exam of the course. 