Algebra and its Applications
COURSE DESCRIPTION 
This course is a first introduction to structures of abstract algebra, specifically, groups, rings, and fields. The first quarter of the course will be devoted to elementary number theory. Then, we will focus on group theory. This is the core of this class, and we will devote half of the course to this topic. We will end the class with an overview on rings and fields. This class is proofbased. However, it is not expected that you have taken a proofbased course before, and there will be an opportunity to learn and improve proofwriting. In addition, there will be a significant emphasis on reallife problems which are modeled by abstract algebraic structures. There will be a final project on applications of group theory (e.g. cryptography, codes, music, physics, and Rubik’s cube). Prerequisites

COURSE GOALS 
On completion of the course, students will:

COURSE CONTENTS 
Bibliography
Support Sessions 2 hours per week with a teaching assistant Grading Midterm exam (25%), final exam (40%), homework (15%), project (20%) 