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Course Criteria
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3.00 Credits
Studies in detail the theory of cardinal and ordinal numbers, definition by recursion, the statement of the continuum hypothesis, simple cardinal arithmetic, and other topics chosen by the instructor. Prereq., Calculus 3 or MATH 3000.
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3.00 Credits
Encompasses a selection of topics in the history of mathematics from earliest times to present, emphasizing Greek mathematics, development of calculus in the 17th century, and history of algebra, analysis, and geometry in the 19th and 20th centuries. Prereq., two upper-division courses in mathematics. Same as MATH 5800.
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1.00 - 3.00 Credits
Offered for students doing a thesis for departmental honors.
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1.00 - 3.00 Credits
Independent Study
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3.00 Credits
Focuses on foundations used in other graduate courses and for specialization in foundations. Includes equivalence relations, orderings, ordinal and cardinal numbers and arithmetic, axiom of choice; first-order logic, models, truth, compactness and completeness theorems, nonstandard analysis, and infinitesimals; and formulation of Goedel's incompleteness theorem. Prereqs., MATH 3130, 3140, and 4310. Undergraduates must have approval of the instructor.
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3.00 Credits
Surveys classical mathematical physics, starting with complex variable theory and finite dimensional vector spaces. Discusses topics in ordinary and partial differential equations, the special functions, boundary value problems, potential theory, and Fourier analysis. Prereqs., MATH 4310 and 4320. Undergraduates must have approval of the instructor. Same as PHYS 5030.
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3.00 Credits
Surveys classical mathematical physics, starting with complex variable theory and finite dimensional vector spaces. Discusses topics in ordinary and partial differential equations, the special functions, boundary value problems, potential theory, and Fourier analysis. Prereq., MATH 5030. Undergraduates must have approval of the instructor. Same as PHYS 5040.
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3.00 Credits
Prereq., MATH 3130 or APPM 3310. Same as MATH 4120, APPM 5120.
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3.00 Credits
Highlights vector spaces, linear transformations, eigenvalues and eigenvectors, and canonical forms. Prereq., MATH 3130. Undergraduates must have approval of the instructor.
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3.00 Credits
Undergraduates must have approval of the instructor. Recommended prereq., MATH 5310. Same as MATH 4330.
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