**MA 541 (Modern Algebra I)**

Instructor: Jennifer Balakrishnan

Time: TR 9:30 - 10:45 AM (CAS 116)

Office hours: T 10:45 - 11:45 AM, W 11:30 AM - 12:30 PM, or by appointment (MCS 271)
**Course overview**

This course will serve as an introduction to the theory of groups and rings in abstract algebra as well as to computational tools for performing related computations. Throughout, we will illustrate theory with concrete examples from geometry and number theory and use the computer algebra system SageMath to do explicit calculations. We will also showcase present-day applications, such as cryptography. The plan is to follow Chapters 3-7 and 9-17 in Judson's free, open source textbook Abstract Algebra: Theory and Applications.
**Course materials**

Syllabus

Homework 1 (due Thursday, September 15)

Homework 2 (due Tuesday, September 27)

Homework 3 (due Tuesday, October 4)

Homework 4 (due Tuesday, October 18)

Homework 5 (due Tuesday, October 25)

Homework 6 (due Tuesday, November 8)

Homework 7 (due Thursday, December 1)

Homework 8 (due Thursday, December 8)