Location: 85 Evans

Instructor: Dagan Karp

Office: 1053 Evans Hall

Office Hours: Tu 9:30-10:30, W 3:00-4:00, and by appointment

Phone: 510.642.5546

email: dkarp math berkeley edu

http://math.berkeley.edu/~dkarp/

In this course we will try to develop a deeper understanding of Algebra than is found in a typical course. In particular, we will closely consider the proofs of the theorems we encounter. Algebra is a wonderful, beautiful and powerful subject; with hard work we may get a glimpse of its nature.

Our goal is to cover at least the following topics: Sets and relations. The integers, congruences and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

The work done in conjunction for this course will consist of weekly homework assignments, two in-class midterms, and one final exam. The weekly homework assignments will be posted at http://math.berkeley.edu/~dkarp/courses/113/homework/

Grades may be determined as follows:

Midterms: 15% each

Final: 30%

Midterm 2: Thursday, April 5

Final (due date): TBA

The required text for this course is I. N. Herstein, Topics in Algebra, 2nd Edition.

Late homework may have points deducted. Make-up exams are not allowed unless there is notification 24 hours in advance and is authorized by me, or in case of extreme emergency with written verification.