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

MATH500 - Graduation Project (0 + 0) 40

Introduction, sources of information, new definitions and concepts, theoretical grounding, relevant examples and related problems, presentation of the subject in an informative scientific style using modern text formats (TEX, Word, WordScientific, etc.), submission and presentation of the report.