
Fall 2023
Lectures:


T, Th

9:30 AM10:50 AM

APM 5402

Office Hour:


T, Th

10:50 AM12:00 AM

APM 7230


TA:


Alex Mather

(amathers

ucsd edu)

Office hour:


W, Th

45 PM, 56 PM

HSS 4072



Book
Here is a list of good textbooks that you can consult for reference.
I will be posting my lecture notes in this page, and I hope you would find them
useful. I will not cover the topics in the same order as they are presented in
the main text book; and we will learn some topics that are not covered in the main book.
The main book has an excellent collection of problems and examples; and I encourage you
to go over them and ask me or Francois if you have difficulty solving any of them.
 Dummit and Foote, Abstract Algebra third edition. (The main text book).
 Isaacs, Algebra .
 Hungerford, Algebra .
 Rotman, An introduction to the theory of groups. (For the group theory part of the course).

Topics
The main topics for the fall quarter will be group and ring theory , Chapters 19 in the text.
We will discuss some topics that are not covered in the main book as well. I know that all of you
had undergraduate algebra courses before. So this will be a fast paced course, and we will discuss
more advanced topics.

Assignments.
Problem sets will be posted here. Make sure to refresh your bowser.
 Due Oct. 8: Here is the problem set.
 Due Oct 13: Here is the problem set.
 Due Oct 20: Here is the problem set.
 Due Oct 27: Here is the problem set.
 Due Nov 5: Here is the problem set.
(A 2day extension because of the midterm on Tuesday.)
 Due Nov 10: Here is the problem set.
 Due Nov 17: Here is the problem set.
 Due Nov 30: Here is the problem set.
 Due Dec 5: Here is the problem set.
 Not due:

My notes.
You can use my lecture notes from 2018.
I will summarize what gets covered during the lectures here. You should go over the notes and your book on the relevant topics.

Homework
 Homework are due on Fridays 9:00 pm. You should post them in GradeScope.
 Late Homework are not accepted.
 There will be 9 problem sets. Your cumulative homework
grade will be based on the best 8 of the 9.
 You can work on the problems with your classmates and discuss them with me or Wei,
but you have to write down your own version.
Copying from other's solutions is not accepted and is considered cheating.
Copying from an online solution bank is not acceptable, either.
 Only selected problems will be scored, but you are responsible for
understanding all the posted problems (including the ones that are not part of the homework
assignments).
 A good portion of the exams will be based on the weekly problem sets.
So it is extremely important for you to make sure that you understand each one of them.

Grade
 Your weighted score is the best of
 Homework 25%+ midterm 25%+ Final 50%
 Homework 25%+ Final 75%
 Your letter grade is determined by your weighted score.
And it is meant to suggest how your current performance corresponds to your likely
result on the qualifying exam to be held next year:
A = PhD Pass, A = Provisional PhD Pass, B+/B = Masterâ€™s Pass, B or less = not likely to pass the qual.

Further information
 There is no makeup exam.
 No notes, textbooks, calculators and electronic devices are allowed during exams.

Exams.
 Midterm:
 Time: Oct 31, 2022. (The second half of the class)
 Location: this is an inclass exam.
 Topics: All the topics that are discussed in class, till the end of Lecture on Oct. 24.
 Questions are fairly similar to the homework assignments
and the examples discussed in the class. Make sure that you know how to solve anyone of them.

Here is the list of scores: TBA.
 The final exam:
 Date: 12/14/2023, 811am.
 Location: TBA.
 Topics: All the topics that were discussed in class, your homework assignments,
and relevant examples and exercises in your book.
 Questions are fairly similar to the
homework assignments and the examples discussed in the class. Make sure
that you know how to solve anyone of them.
