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Course Criteria
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4.00 Credits
An axiomatic treatment of real vector spaces, including computational and theoretical basics. Topics include bases, subspaces, linear transformations, matrix operations, diagonalization, inner product spaces, and eigenvalues.
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4.00 Credits
The structure of the real number system line from a topological and analytical point of view. Topics include the continuous nature of the real line, open and closed sets, sequences and formal convergence, compactness, topics related to functions of a real variable.
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4.00 Credits
A continuation of MATH 3320. Topics include continuity, uniform continuity, formal definitions of the derivative and integral, covers, and composite functions.
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3.00 Credits
A continuation of MATH 2335. Systems of equations, approximation theory, and differential equations. Understanding the nature and limitations of each method is emphasized.
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3.00 Credits
Enumeration and graph theory. Topics in enumeration include combinatorial identities, recurrence relations, and generating functions. Topics in graph theory include Eulerian and Hamiltonian paths and circuits, planarity, and coloring.
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3.00 Credits
An introductory course. Topics include divisibility, prime number theory, congruences, multiplicative functions, quadratic residues, and applications to cryptology.
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3.00 Credits
Topics include set theory, metric spaces, topological spaces, open sets, subspaces, continuity, connectedness, and compactness.
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1.00 - 5.00 Credits
Special topics in mathematics. Either a course taught on a onetime basis or a pre-arranged project conducted by specific written arrangement with an individual instructor.
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3.00 Credits
Topics include orthogonal functions, Sturm-Liouville problem, boundary value problems for partial differential equations, the heat equation, wave equation, Laplace equation and power series solutions. Included are Bessel functions, Legendre polynomials, and their applications.
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3.00 Credits
Scalar and vector fields, the del operator, curl, divergence, line integrals, conservative fields and potentials, and surface integrals. The divergence theorem and Stokes' theorem. Applications to electromagnetic fields and to heat and fluid flow.
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