### Course Dates: 1/13/2020 - 5/8/2020

### Course Description

This course deals with some fundamental topics of algebra. Specific topics included are introduction to groups, rings and fields, ideals of rings, ring homomorphisms and isomorphisms, factor rings, extensions of fields, finite and algebraic extensions, algebraic closures, solvability of groups, Sylow theorems, free abelian groups, free groups, unique factorization and Euclidean domains, Isomorphism extension theorem, separable extensions and introduction to Galois theory.

### Learning Outcomes

Upon completion of this course, students will be able to:

- This course will enable you to be familiar with fundamental concepts of algebra. After taking this course, you will be able to write and evaluate proofs that deal with these concepts.

### Learning Materials

Fraleigh, John B. A First Course in Modern Algebra. 7th Edition, 2002. ISBN: 9780201763904

### Assessment

Homework: 30%

Weekly Discussions: 20%

Group Projects: 15%

Exams: 35%