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Course Criteria
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1.00 - 3.00 Credits
Independent study in a selected mathematics area to further a student's knowledge and competence in that area. Material to be studied will be determined in consultation with the faculty member supervising the course, the student's adviser, and the department chair.
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3.00 Credits
Introduction to abstract mathematical reasoning, including set theory, logic, mathematical analysis, and the structure of the real number system. Prerequisite: MATH 247. Corequisite: MATH 272 or consent of instructor.
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3.00 Credits
Concepts and methods of geometry for advanced study and for teaching geometry at the secondary-school level. Includes Euclidean, solid, and spherical geometry. Prerequisite: MATH 170 or consent of instructor.
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3.00 Credits
The use of computers to obtain numerical solutions to systems of linear equations, root approximations of other equations, least squares, numerical integration. Prerequisites: MATH 261 and 272.
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3.00 Credits
Probability basics, discrete and continuous random variables, multivariate distributions, properties of expectation, laws of large numbers, special distributions, moment generating functions, the Central Limit Theorem, sampling, estimation of parameters, hypothesis testing, nonparametric methods, and linear regression. Prerequisite: MATH 171.
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3.00 Credits
Introduction to ordinary differential equations, their solutions and practical applications. Prerequisite: MATH 272 or equivalent.
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3.00 Credits
Representations of complex numbers, complex arithmetic, complex functions of a complex variable, calculus of complex functions, harmonic functions, analytic functions, contour integrals, Cauchy's theorem, and selected topics. Prerequisite: MATH 272.
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1.00 Credits
Topics will be announced prior to registration. This course provides students with the opportunity to explore areas of mathematics not normally found in the undergraduate curriculum, in an informal, lecture/discussion format. The course is graded pass/fail, and may not be used as an upper-level mathematics elective. Prerequisite: MATH 310.
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3.00 Credits
Advanced topics in graph theory, including graphs and diagraphs, vertex and edge colorings, planar graphs, and Ramsey numbers. Although some of the class will be computational, much of it will be presented in theorem-proof format. Prerequisite: MATH 310 or consent of instructor.
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3.00 Credits
Coordinate systems, vector algebra, linear transformations, solutions of systems of linear equations, and introduction to matrix theory. Prerequisite: MATH 272 (may be taken concurrently).
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