Syllabus: Math 113

Course time: TTh 8--9:30
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


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


Grades may be determined as follows:

Homework: 40%
Midterms: 15% each
Final: 30%


Midterm 1: Thursday, February 22
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.