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Course Criteria
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1.00 - 3.00 Credits
Staff A reading project in an area of mathematics not covered in regular courses or that is a proper subset of an existing course. The topic, selected by the student in consultation with the staff, is deemed to be introductory in nature with a level of difficulty comparable to other mathematics courses at the 200-level. May be repeated for a maximum of six credits. Prerequisite: consent of supervising instructor.
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1.00 - 3.00 Credits
Students will meet weekly to discuss problem solving techniques. Each week a different type of problem will be discussed. Topics covered will include polynomials, combinatorics, geometry, probability, proofs involving induction, parity arguments and divisibility arguments. The main focus of the course will be to prepare students for the William Lowell Putnam Mathematics Competition, a national examination held the first Saturday in December. Students who place in the top 500 on this exam nationwide have their names listed for consideration to mathematics graduate programs. May be repeated for a maximum of four credits. Prerequisite: Consent of Instructor.
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3.00 Credits
Fall: Balof ; Spring: Gordon This course first considers the solution set of a system of linear equations. The ideas generated from systems of equations are then generalized and studied in a more abstract setting, which considers topics such as matrices, determinants, vector spaces, inner products, linear transformations, and eigenvalues. Prerequisite: Mathematics 225.
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3.00 Credits
Essential for prospective high school mathematics teachers, this course includes a study of Euclidean geometry, a discussion of the flaws in Euclidean geometry as seen from the point of view of modern axiomatics, a consideration of the parallel postulate and attempts to prove it, and a discussion of the discovery of non-Euclidean geometry and its philosophical implications. Prerequisite: Mathematics 126.
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3.00 - 4.00 Credits
Topics include discrete and continuous probability spaces, distribution functions, the central limit theorem, estimation, tests of hypothesis, regression, and correlation. Prerequisite: Mathematics 225.
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3.00 Credits
Operations research is a scientific approach to determining how best to operate a system, usually under conditions requiring the allocation of scarce resources. This course will consider deterministic models, including those in linear programming (optimization) and related subfields of operations research. Prerequisite: Mathematics 300.
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3.00 Credits
not offered 2008-09 This course explores the process of building, analyzing, and interpreting mathematical descriptions of physical processes. Topics may include feature extraction, partial differential equations, neural networks, statistical models. The course will involve some computer programming, so previous programming experience is helpful, but not required. Prerequisite: Mathematics 300.
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3.00 Credits
Topics in elementary combinatorics, including: permutations, combinations, generating functions, the inclusion-exclusion principle, and other counting techniques; graph theory; and recurrence relations. Prerequisites: Mathematics 260 or consent of instructor.
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3.00 Credits
An introduction to mathematics commonly used in engineering and physics applications. Topics may include: vector analysis and applications; matrices, eigenvalues, and eigenfunctions; boundary value problems and spectral representations; Fourier series and Fourier integrals; solution of partial differential equations of mathematical physics; differentiation and integration of complex functions, residue calculus, conformal mapping. Prerequisite: Mathematics 244.
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3.00 Credits
not offered 2008-09 Complex analysis is the study of functions defined on the set of complex numbers. This introductory course covers limits and continuity, analytic functions, the Cauchy-Riemann equations, Taylor and Laurent series, contour integration and integration theorems, and residue theory. Prerequisite: Mathematics 225.
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