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Course Criteria
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3.00 Credits
Primarily for 1xxx mathematics courses, under supervision of mathematics department member.
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3.00 Credits
(4 cr; QP-3298; SP-1297; A-F only) First, second, and higher order equations; series methods; Laplace transforms; systems; software; modeling applications; introduction to vectors; matrix algebra, eigenvalues.
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3.00 Credits
Third part of a standard introduction to calculus. Conic sections, vectors and vector-valued functions, partial derivatives and multiple integrals, vector fields, Green's and Stokes' theorems.
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3.00 Credits
In-depth study of fundamental notions such as limit, convergence, continuity, differentiability, and integrability on which all reflective study of calculus must rest.
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3.00 Credits
Introduction to mathematical logic, predicates and quantifiers, sets, proof techniques, recursion and mathematical induction, recursive algorithms, analysis of algorithms, assertions and loop invariants, complexity measures of algorithms, combinatorial counting techniques, relations, graph theory.
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3.00 Credits
Exposure to UMD mathematics-related colloquia. Sixteen points required: one for attending a colloquium; one for writing an acceptable report on a colloquium (at least four must be earned through writing); up to eight for giving a colloquium.
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3.00 Credits
Topics not available in standard curriculum.
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3.00 Credits
(3 cr; QP-3350, 3699; SP-3280; A-F only) Complex numbers and analytic functions; complex integration; complex power series, Taylor series, and Laurent series; theory of residues; conformal mapping.
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3.00 Credits
(3 cr; QP-3380; SP-3280; A-F only) Laplace transform; Fourier series, integrals, and transforms; Sturm-Liouville operator- and boundaryvalue problems; orthogonal functions; operator solutions of partial differential equations.
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6.00 Credits
Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, linear independence, span, basis, coordinates, linear transformations, matrix representations of linear transformations, eigenvalues and eigenvectors, diagonalization, Gram-Schmidt orthogonalization, orthogonal projection and least squares.
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