18.703 - Modern Algebra (Spring 2019)

Instructor: Victor Kac

Email: Kac@math.mit.edu

Office: Room 2-176

Office Hours: By Appointment

Lectures: TR 2:30 - 4:00pm 2-135

Grader: Yichi Zhang, yichi@mit.edu

COURSE DESCRIPTION

Focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics: group theory, emphasizing finite groups; ring theory, including ideals and unique factorization in polynomial and Euclidean rings; field theory, including properties and applications of finite fields. 18.700 and 18.703 together form a standard algebra sequence.

Prerequisites: Calculus II (GIR)

Text Book: A First Course in Abstract Algebra, John B. Fraleigh

The grade for the course will be based on home assignments (50%) and on two tests (50%). No final.