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Course Criteria
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3.00 Credits
Markov chains, Poisson processes, continuous time Markov chains, renewal processes, Brownian motion and stationary processes. Prerequisite(s): 800:152; junior standing. (Offered Fall)
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3.00 Credits
Analytic study of curves and surfaces in three-dimensional Euclidean space. Prerequisite(s): 800:062; 800:076; junior standing. (Offered Odd Springs)
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3.00 Credits
Differentiation and integration of functions of a single complex variable; Taylor and Laurent expansions; conformal mapping. Prerequisite(s): 800:062; junior standing. (Offered Even Springs)
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3.00 Credits
Exploratory data analysis, Shewhart control charts and their variations, process capability analysis, CUSUM charts, EWMA charts, sampling inspection by attributes and by variables, continuous sampling plans, application of design of experiments in quality engineering. Prerequisite(s): 800:152 or consent of instructor; junior standing. (Variable)
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3.00 Credits
Topics from mathematics of life contingencies, risk theory, survival analysis, construction of actuarial tables, demography, gradation. May be repeated on different topic with consent of instructor. Prerequisite(s): 800:152; junior standing; consent of instructor. (Offered Spring)
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3.00 Credits
Introduction to study of algebraic systems. Groups, rings, fields, homomorphisms and isomorphisms. Prerequisite(s): 800:061 or equivalent; 800:076; junior standing. (Offered Fall and Spring)
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3.00 Credits
Vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, canonical forms, inner product spaces. Prerequisite(s): 800:160; junior standing. (Variable)
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3.00 Credits
Basic properties of rings, integral domains and fields. Polynomials over fields, field extensions, straightedge and compass constructions. Prerequisite(s): 800:160; junior standing. (Offered Spring)
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3.00 Credits
Analysis of a DNA sequence, analysis of multiple DNA and protein sequences, BLAST. Prerequisite(s): 800:064; 800:152; junior standing. (Variable)
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3.00 Credits
Euclid's postulates serve as a model for studying various axiomatic systems defining incidence geometries. Geometries include finite geometries, plane geometry, neutral geometry, taxicab geometry, spherical geometry, and hyperbolic geometry. Prerequisite(s): 800:060 or equivalent; junior standing. (Offered Spring)
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