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Course Criteria
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4.00 Credits
This course is a study of the structure of the set of integers. Topics such as divisibility, congruences, arithmetic functions, primitive roots, quadratic residues, and the nature and distribution of primes are investigated. (1016-265) Class 4, Credit 4 (W)
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4.00 Credits
A study of fi rst order, linear higher order and systems of differential equations including such topics as existence, uniqueness, properties of solutions, Green's functions, Sturm Liouville systems, and boundary value problems is provided. (1016-305, 1016-306; 1016-331 desirable) Class 4, Credit 4 ( offered upon suffi cient request)
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4.00 Credits
A study of fi rst order, linear higher order and systems of differential equations including such topics as existence, uniqueness, properties of solutions, Green's functions, Sturm Liouville systems and boundary value problems. (1016-501) Class 4, Credit 4 (offered upon suffi cient request)
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4.00 Credits
Numerical techniques for the solution of nonlinear equations, interpolation, differentiation, integration, and initial value problems are discussed. (1016-305, 1016-306, and some programming knowledge) Class 4, Credit 4 (S)
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4.00 Credits
Numerical techniques that treat systems of linear equations, eigenvalue problems, boundary value problems, splines, and additional topics at the discretion of the instructor are discussed. (1016-305, 1016-306, 1016-432 and some programming knowledge) Class 4, Credit 4 (F)
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4.00 Credits
Selected topics in applied probability and statistics to meet the need and interest of the students are presented. (1016-305, 352 or permission of instructor) Class 4, Credit 4 (offered upon suffi cient request)
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4.00 Credits
A study of the modeling and forecasting of time series is provided. Topics include ARMA and ARIMA models, autocorrelation function, partial autocorrelation function, detrending, residual analysis, graphical methods and diagnostics. A statistical software package is used for data analysis. (1016-352 or 1016-314) Class 4, Credit 4 (offered upon suffi cient request) (S)
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4.00 Credits
This course explores Poisson processes and Markov chains with an emphasis on applications. Extensive use is made of conditional probability and conditional expectation. Further topics, such as renewal processes, Brownian motion, queuing models and reliability, are discussed as time allows. (1016-331, 351, or permission of instructor) Class 4, Credit 4 (W)
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4.00 Credits
This course is a review of pertinent basic set theory and number theory, groups, subgroups, cyclic and permutation groups, Lagrange's theorem, quotient groups, isomorphism theorems, and applications to scientifi c problems. (1016-265, 1016-432) Class 4, Credit 4 (W, S)
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4.00 Credits
The basic theory of rings, integral domains, ideals and fi elds GF (pn), applications to coding theory or abstract vector spaces, function spaces, direct sums, applications to differential equations, and to scientifi c problems are discussed. (1016-531) Class 4, Credit 4 (F, S)
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