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MATH 835: Evolutionary Partial Differential Equations
3.00 Credits
University of Delaware
Methods of solution for evolutionary partial differential equations and systems primarily from a classical perspective. Linear and nonlinear equations and systems; characteristics; shocks and discontinuous solutions; similarity solutions; modern applications and dynamical systems approaches. PREREQ: MATH617 or equivalent.
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MATH 835 - Evolutionary Partial Differential Equations
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MATH 836: Elliptic Partial Differential Equations
3.00 Credits
University of Delaware
Sobolev spaces, potential theory, variational methods for elliptic equations, inverse problems. PREREQ: MATH806.
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MATH 836 - Elliptic Partial Differential Equations
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MATH 838: Finite Element and Boundary Element Methods
3.00 Credits
University of Delaware
Finite element methods for elliptic problems including: weak solutions, multidimensional interpolation, Bramble-Hilbert lemma and error analysis, multidimensional quadrature, multigrid and domain decomposition methods, preconditioning, saddle point problems, LBB condition and mixed methods. Boundary element methods for elliptic problems including: jump conditions, error analysis, quadrature methods for singular integrals and Fast Multipole Method for Laplace's equation. Coupling between boundary elements and finite element methods. Discontinuous Galerkin methods for elliptic and hyperbolic problems. Applications Selected by the instructor. PREREQ: MATH806 or equivalent.
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MATH 838 - Finite Element and Boundary Element Methods
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MATH 845: Algebra II
3.00 Credits
University of Delaware
Ternary rings and their relationship to finite geometry, Sylow's theorems and group actions, classical matrix groups, linear representations, character theory. Computational software such as Magma or Maple will be used. PREREQ: MATH650 and MATH672 or permission of instructor.
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MATH 845 - Algebra II
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MATH 850: Theory of Probability
3.00 Credits
University of Delaware
Mathematically rigorous treatment of probability theory with emphasis on methods and tools for applications. Axioms of probability and independence. An introduction to large deviation theory and Martingale theory. Probabilistic methods in combinatorics and analysis. PREREQ: MATH602 or MATH631 or equivalent; or permission of instructor.
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MATH 850 - Theory of Probability
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MATH 866: SPECIAL PROBLEM
1.00 - 12.00 Credits
University of Delaware
No course description available.
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MATH 866 - SPECIAL PROBLEM
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MATH 867: SEMINAR
1.00 - 12.00 Credits
University of Delaware
No course description available.
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MATH 867 - SEMINAR
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MATH 868: Research
1.00 - 6.00 Credits
University of Delaware
No course description available.
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MATH 868 - Research
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MATH 869: Master's Thesis
1.00 - 6.00 Credits
University of Delaware
No course description available.
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MATH 869 - Master's Thesis
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MATH 870: Reading in Mathematics
1.00 - 6.00 Credits
University of Delaware
No course description available.
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MATH 870 - Reading in Mathematics
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