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Course Criteria
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4.00 Credits
This course investigates areas of combinatorial math including permutations and combinations, sets and subsets, recurrence relations, generating functions, the principle of inclusion and exclusion, latin squares, systems of distinct representatives, Steiner triple systems, Ramsey numbers and Stirling numbers. Some graph theoretic ideas and results are explored.
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4.00 Credits
Mathematical methods in the physical sciences. Interdisciplinary applications in wave theory, lasers, spectroscopy, Newtonian mechanics, electricity and magnetism, relativity, atomic and molecular theory, quantum mechanics and statistical thermodynamics. Orthogonal expansions in infinite dimensional spaces: complete orthonormal sets, operator theory orthogonal function expansions, coordinate transformations, integral transformations and tensor representation.
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4.00 Credits
A study of the complex number system. Topics include complex numbers and functions, analytic functions, integration, series, contour integrals and conformal mapping.
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4.00 Credits
Extends the concepts of probability and statistics through a multivariable perspective. Studies statistical models through topics such as experimental design, regression, analysis of variance, contingency tables and order statistics. Data handling and analysis are conducted with the aid of statistical software.
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4.00 Credits
A speaking-intensive introduction to modeling techniques, synthesizing concepts and methods learned in previous courses. Applications will be chosen from various disciplines (particularly science, social science, business and education), environmental resource issues and scheduling/ allocation. Techniques used will include computer simulation, game theory, difference equations and/or differential equations and probabilistic models or statistical models.
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2.00 Credits
The Capstone in mathematics is intentionally open-ended. The focus of the course centers on the Mathematics majors designing and carrying out individual projects suited to their interests and post-graduation goals. Weekly class meetings will be run in seminar fashion: each student will be expected to present at least one report on a) the culture of mathematics, b) the relationship between mathematics and other disciplines or career avenues or c) a moral/ethical issue related to mathematics.
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1.00 - 4.00 Credits
SelectedTopics
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2.00 - 4.00 Credits
Seminar
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1.00 - 4.00 Credits
Independent Study
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1.00 - 4.00 Credits
(graded P/NC only)
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