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Course Criteria
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 4250 (5250) . Systems of ordinary differential equations, matrix methods, approximate solutions, stability theory, basic theory of nonlinear equations and differential systems, trajectories, phase space stability, and construction of liapunov functions.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 3400 . Topological spaces, continuity, connectedness, compactness, separation axioms, function spaces, and fundamental groups.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 4310 (5310) . Topological spaces, continuity, connectedness, compactness, separation axioms, function spaces, and fundamental groups.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 3400 or consent of instructor. Topics to be covered include permutations, combinations, multisets, partitions, recurrence relations, generating functions, and the principle of inclusion-exclusion.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 3400 or consent of instructor. Fundamental concepts of undirected and directed graphs, trees, connectivity, traversability, colorability, network flows, and matching theory.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 2110 , MATH 2010 and MATH 3400 . Geometry of curves and surfaces in three dimensional space. Calculus on surfaces, curvature, and Riemannian geometry.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 2110 . Mathematical foundations of elementary statistical methods, application and theory, probability in discrete and continuous distribution, correlation and regression, sampling distributions, and significance tests.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 4470 (5470) . Mathematical foundations of elementary statistical methods, application and theory, probability in discrete and continuous distribution, correlation and regression, sampling distributions, and significance tests.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 2110 and MATH 2120 . Fourier series, Sturm-Liouville problems, orthogonal functions, Legendre polynomials, Bessel functions, separable partial differential equations (e.g. heat, wave and Laplace equations) and other topics.
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3.00 Credits
Lec. 3. Credit 3. Prerequisite: C or better in MATH 2010 and MATH 3400 . A theoretical study of vector spaces, bases and dimension, subspaces, linear transformations, dual spaces, eigenvalues and eigenvectors, inner product spaces, spectral theory, duality, and quadratic and bilinear forms.
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