Abstract Algebra I (MSU -

Homework 1: pregroups, semigroups, and groups

Homework 2: quotient groups and automorphisms

Homework 3: normal subgroups and the second isomorphism thm

Homework 4: cosets, third isomorphism thm, and finite presentations

Homework 5: group actions and Sylow p-

Homework 6: semigroup rings, division rings, and ideals

Homework 7: prime ideals and principal ideals

Abstract Algebra II (MSU -

Homework 1: modules

Homework 2: polynomial rings and fields of fractions

Homework 3: field extensions

Homework 4: algebraic field extensions and Galois theory

Homework 5: algebraically closed extensions and Frobenius

Homework 6: R-

Homework 7: unique factorization domains and varieties

Complex Analysis (MSU -

Homework 1: sets in the complex plane, harmonic and analytic functions

Examination 1: roots, harmonic and analytic functions, and elementary integrals

Homework 2: residue theorem, heat equation boundary value problem