- Text: D. S. Dummit and R. M. Foote,
Abstract Algebra, Third edition, John Wiley and Sons, 2004.
- This is the first semester of a year long graduate
course in abstract algebra, which also serves as preparation
for the Mathematics Department's qualifying exam in
algebra. We will cover the basic theory of vector spaces,
groups, rings, modules, fields, some homological and
multilinear algebra, and category theory. The second semester
will feature a treatment of Galois theory and the
representation theory of finite groups. Additional topics will
be included with a view toward applications in algebraic geometry
and number theory, as time permits. Over the course of the
year we plan to cover all of the sections in the textbook
except possibly sections 3.4, 5.3, 6.2, 14.9, 15.4, 15.5,
16.1, 16.2, 16.3, 17.2, 17.3, 17.4, 19.2, and 19.3.
- The best and only way to learn mathematics is to
do mathematics! Your weekly homework assignments are therefore
the most important part of this course. Homework will be
assigned on Thursday and is due in class on the Thursday of
the following week. I urge you to hand in all of your
assignments on time - however my policy is to allow up to TWO
late homework assignments per student (any further late
assignments will not be graded). You may discuss the problems
with others and work in groups if you wish, but whatever you
turn in should be written up on your own. There will be three
types of homework problems: A, B, and C. While the A problems
are fairly standard exercises, the B problems will be more
substantial and sometimes quite difficult. The extra credit C
problems are optional - they can improve your grade, but you
do not need to solve them to do well in the course. People
looking for a challenge are encouraged to attempt them!
Our homework grader is Qihang Li, and his email is
firstname.lastname@example.org. He has office hours on Mondays,
3:00 - 4:00 pm, in 2109 Toll Physics Building. Please contact
him with any questions you may have about the homework grading
and solutions to the problems.
- We will have two exams during the course, a midterm
and a final exam. The midterm will be held in class from 2:00
- 3:15 on Tuesday, November 2. The final exam has been
scheduled for Saturday, December 18, 10:30 - 12:30. Make-up exams
will only be given for compelling and
- Grading Policy:
- The course grade will be determined by
adding your midterm score (25%) to your final exam score (40%)
and your homework total (35%). Participating in class and
working on extra credit problems is encouraged and will help
to improve your grade.
- READ THIS:
- University of Maryland course related policies. Includes a discussion of academic integrity, the honor pledge, and
accomodations for students with disabilities.
- Note on masks in class:
- Face coverings over the nose and mouth are required while you are indoors at all times. There are no exceptions. Students not wearing a mask will be given a warning and asked to wear one, or will be asked to leave the classroom immediately. Students who have additional issues with the mask expectation after a first warning will be referred to the Office of Student Conduct for failure to comply with a directive of University officials.
- Office Hours:
- Feel free to come by my office
and talk at any time, either by chance or by appointment.
Assignment 1 (Due 9/9/21):
Assignment 2 (Due 9/16/21):
Assignment 3 (Due 9/23/21):