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Course Criteria
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1.00 - 12.00 Credits
Credit for thesis study. Enrollment in excess of six hours is acceptable for Plan I master's degree, but no more than six hours creditable toward degree. Minimum acceptable total for degree is three hours. Graded S/U.
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3.00 Credits
Topics from numerical solutions of PDE, large-scale optimization and inverse problems, functional analysis, image reconstruction, and applications to science and engineering. Prerequisite: consent of instructor.
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3.00 Credits
Introduction to research-level topics and current research issues. Topics are highly dependent on enrollment and audience interests. Prerequisite: consent of instructor. Graded S/U.
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3.00 Credits
Solvable and nilpotent groups, extensions, multiply transitive permutations groups, free groups, and free products. Prerequisite: consent of instructor.
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3.00 Credits
Radicals, Wedderburn's structure theorems, modules over principal ideal domains. Prerequisite: consent of instructor.
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3.00 Credits
Selected topics from finite groups, Abelian groups, ordered groups, number theory, algebraic number fields, universal algebra, etc. Prerequisite: consent of instructor.
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1.00 - 3.00 Credits
Selected topics from lattice theory, local rings, ordered groups, ring theory, semigroups, etc. Prerequisite: consent of instructor. Graded S/U.
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3.00 Credits
Multivariate distributions having specified marginals. Random orthogonal transformations, T-squared,D-squared, and Wishart distributions; profile analysis; distribution of characteristic roots, covariance structures, classification and cluster analysis; robust multivariate statistics. Prerequisites: MATH 532 and MATH 642, or consent of instructor.
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3.00 Credits
Probability spaces, random variables, and random vectors, distribution function and properties, stochastic independence, expectation, strong limit theorems; characteristic functions and properties, infinite divisibility. Prerequisite: MATH 666.
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3.00 Credits
Continuation of MATH 741. Decomposition theorems, central limit problem, conditional expectation, and martingale theory. Probability on metric spaces. Prerequisite: MATH 741.
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