COURSE DESCRIPTIONS All courses listed may be used to fullfill the General Mathematics Track requirements; Green numbers represent courses required for the Advanced Mathematics Track. MATH 5530 Abstract Algebra II. Three credits. Prerequisite is MATH 4510/5510. Topics covered include the basic theory of rings, fields, and vector spaces. An introduction to Galois Theory is also included as time permits. MATH 5420 Number Theory. Three credits. Topics covered include divisibility, quadratic forms, quadratic residues, continued fractions, and Diophantine equations. MATH 6140A Seminar in Algebra. Three credits. Prerequisite is Math 5530 or instructor consent. This course provides the student with exposure to topics in algebra not usually covered elsewhere. Content is determined by instructor. MATH 6510 Advanced Algebra. Three credits. Prerequisite is Math 5530. This course provides graduate students with a thorough introduction to Galois Theory. Topics covered include polynomial rings, theory of fields, vector spaces, and intermediate group theory.