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MATH 550. Calculus on Manifolds (3)
Prerequisites: MATH 450B and MATH 501. Differentiable forms and exterior derivatives on R^n; line integrals on R^n; differentiable manifolds and differentiable forms; Stokes’ theorem and applications; additional topics as…
MATH 483. Mathematical Modeling (3)
Prerequisites: MATH 340 with a grade of “C” or better, and MATH 351 with a grade of “C” or better, or graduate standing. Applications of mathematical techniques to solve…
MATH 482. Combinatorial Algorithms (3)
Prerequisites: Completion of MATH 150B and MATH 262 with a grade of “C” or better; Some computer programming experience. Computer-oriented study of seminumerical and non-numerical algorithms. Sorting, tree searching,…
MATH 480. Partial Differential Equations (3)
Prerequisite: Completion of MATH 351 with a grade of “C” or better, or MATH 280 with a grade of “C” or better. Orthogonal functions, Laplace’s equation, Poisson’s equation, Bessel’s…
MATH 463. Number Theory (3)
Prerequisite: Completion of MATH 320 with a grade of “C” or better. Recommended Corequisite or Preparatory: MATH 360. Euclidean algorithm and the unique factorization theorem, congruences, primitive roots and…
MATH 442A-Z. Topics in Mathematical Statistics (3)
Prerequisite: Completion of MATH 340 with a grade of “C” or better, or MATH 440A with a grade of “C” or better. Topics selected from statistics and/or probability, such…
MATH 366. Combinatorics (3)
Corequisite: MATH 320 or MATH 326. This is a one-semester introduction to combinatorics. Topics include enumerative combinatorics (inclusion-exclusion, generating functions, Polya’s Theorem, etc.) and combinatorial structures (graphs, designs, etc.)….
MATH 443. Probability Theory and Stochastic Processes (3)
Prerequisites: MATH 250, MATH 262, and MATH 340 all with grades of “C” or better. This course focuses on more advanced but essential topics in probability theory and stochastic…
MATH 312. Basic Algebraic Concepts (3)
Prerequisites: Completion of MATH 210 and MATH 310 with grades of “C” or better, or instructor consent. Topics selected from: abstract algebra and applied algebra using elementary mathematical models. Not available for…
MATH 280. Applied Differential Equations (3)
Prerequisite: Completion of MATH 150B with a grade of “C” or better. Recommended Corequisite or Preparatory: MATH 250. First order equations. Explicit solution methods, existence and uniqueness for initial…