Professor: Dan Abramovich
Office: Kassar 118 (If it is ready)
Telephone: (401) 863 7968
Web site: http://www.math.brown.edu/~abrmovic/MA/f1415/153.html
Preliminary office hours: Wednesday 11:00-12:00; Friday 1:00-2:00
Canvas: direct link
Text: Abstract Algebra, by D. S. Dummit and R. M. Foote. 3rd edition is most up-to-date (I think), but second edition is good if you can lay your hands on a cheaper copy. Excercise numbering may differ. The book is hefty and could be intimidating - don't get scared. I chose it because it will serve you well for years to come, and costs roughly as much as the thinner books.
An introduction to the principles and concepts of modern abstract algebra. Topics will include groups, rings, and fields, with applications to number theory, the theory of equations, and geometry.
This is a "proof intensive" course. Titled Abstract Algebra for a reason. It may serve as a testing ground for you to see if you like pure mathematics. If you do, it is absolutely the best! What a treat!
Reading and exercises will be assigned, homework collected weekly. Homework can be challenging, start early. Homework solutions are individual - you must write your own. However I encourage you to think about the problems in groups, as sometimes getting to the idea is challenging. Of course it is also more fun to work this way (at least for me).
I expect there to be a large independent reading/essay assignment too.
Grades will be given based on homework and two exams.
Tentative date for midterm: Wednesday, October 15, in class. Let me know right away if there is any issue with the date.
Firm date for final: Saturday, December 20, 2014 (ouch!).