MATH541 - Algebra (3 + 0) 5

Groups: quotient groups, isomorphism theorems, direct products, finitely generated abelian groups, actions, Sylow theorems, nilpotent and solvable groups; rings: ring homomorphisms, ideals, factorization in commutative rings, rings of quotients, polynomial rings; modules: exact sequences, vector spaces, tensor products; fields: field extensions, th

MATH587 - Applied Mathematics (3 + 0) 5

Calculus of variations: Euler-Lagrange equation, the first and second variations, necessary and sufficient conditions for extrema, Hamilton`s principle, and applications to Sturm-Liouville problems and mechanics; integral equations: Fredholm and Volterra integral equations, the Green?s function, Hilbert-Schmidt theory, the Neumann series and Fredho

MATH589 - Graduation Seminar (0 + 0) 5

Presentation involving current research given by graduate students and invited speakers.

MATH597 - Master's Thesis (0 + 0) 80

Problem identification and analysis, research methodologies, literature survey, analyzing and designing according to the thesis topic, progress report.