579
Oklahoma State University
MATH 6263 Potential Theory Prerequisites: MATH 5153 and MATH 5293.
MATH 6453 Complex Geometry Prerequisites: MATH 5283.
Description: Subharmonic and superharmonic functions, potentials, energy problems (including problems with external fields), equilibrium measures, capacities, Dirichlet problems, regularity, Green functions, harmonic measures, conformal mappings, and applications. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6283 Several Complex Variables Prerequisites: MATH 5293. Description: Elements of function theory of several complex variables, including extension phenomena, domains of holomorphy, notions of convexity, holomorphic maps, and complex analytic varieties. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6290 Topics in Analysis Prerequisites: Consent of instructor. Description: Advanced topics in analysis. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate
Description: Complex manifolds, analytic sheaves, differential forms, Dolbeault cohomology, Hodge theory, line bundles, divisors, Kodaira embedding, and vanishing. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6490 Topics in Geometry Prerequisites: Consent of instructor. Description: Advanced topics in geometry. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Mathematics MATH 6513 Theoretical Numerical Analysis Prerequisites: MATH 5153, MATH 5543 or CS 5543, and MATH 5553 or CS 5553. Description: An advanced theoretical treatment based on function spaces and operator theory of algorithms for machine computing and analysis of errors. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6590 Topics in Applied Mathematics Prerequisites: Consent of instructor. Description: Advanced topics in applied mathematics. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate
Schedule types: Independent Study Department/School: Mathematics MATH 6323 Algebraic Topology I Prerequisites: MATH 5313.
Description: Chain complexes, homology and cohomology groups, the Eilenberg-Steenrod axioms, Mayer-Vietoris sequences, universal coefficient theorems, the Eilenberg-Zilber theorem and Kunneth formulas, cup and cap products, and duality in manifolds. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6390 Topics in Topology Prerequisites: Consent of instructor. Description: Advanced topics in topology. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Mathematics MATH 6433 Algebraic Geometry Prerequisites: MATH 5623. Description: Affine and projective varieties, dimension, algebraic curves, divisors and Riemann-Roch theorem for curves. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics
Schedule types: Independent Study Department/School: Mathematics MATH 6613 Commutative Algebra Prerequisites: MATH 5623.
Description: Commutative rings, exactness properties of modules, tensor products, integral dependence, chain conditions, completions, filtrations, local rings, dimension theory, and flatness. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture
Department/School: Mathematics MATH 6623 Homological Algebra Prerequisites: MATH 5623.
Description: Closed and projective classes, resolution and derived functors, adjoint theorem, construction of projective classes in the categories of groups, rings and modules; categories, Abelian categories. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics
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