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Course Criteria
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3.00 Credits
Prerequisite(s): MATH 2800 and junior or senior status. Introduction to number theory, treating divisibility, congruencies, linear Diophantine equations, and quadratic residues. Some history of the development of the discipline will also be included.
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3.00 Credits
Prerequisite(s): MATH 2120. This course is an introduction to birth and death processes, equilibria, optimal control, and probabilistic models. Emphasis will be given to criteria for accepting, rejecting, and modifying models. Fall
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3.00 Credits
Prerequisite(s): MATH 2800. Topics include basic counting techniques, generating functions, recurrence relations, and applications. Fall
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3.00 Credits
Prerequisite(s): MATH 2800 and approval of faculty members teaching course. A capstone experience serving as the culmination of the mathematics curriculum. Students will work on research problems under the direction of mathematics faculty members. Honors students should take MATH 4018 instead.
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3.00 - 6.00 Credits
Open to those in university honors programs only. A capstone experience serving as the culmination of an honors curriculum.
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3.00 Credits
Prerequisite(s): MATH 2010, MATH 2110, and MATH 2120. This course is an introduction to partial differential equations and their relationship to Fourier series, vector calculus, and special functions.
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3.00 Credits
Prerequisite(s): MATH 2050, MATH 2010 and MATH 2110. An introduction to the theory of probability and mathematical statistics. Topics will include discrete and continuous probability distributions and their applications, mathematical expectation and moment generating functions, functions of random variables and transformations, sampling distributions, the central limit theorem, Chi-square, T and F distributions. Fall
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3.00 Credits
Prerequisite(s): MATH 4047 or MATH 5047. A continuation of Mathematical Statistics I. An introduction to the theory of mathematical statistics, estimation, and hypothesis testing. Topics will include efficiency, consistency, sufficiency, robustness, methods of estimation, confidence intervals, Bayesian inference as well as the Neyman-Pearson lemma, power functions, likelihood ratio tests, hypothesis tests, and applications. Spring
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3.00 Credits
Prerequisite(s): MATH 2010 and MATH 2800. Introduction to the basic algebraic systems, including groups, rings, integral domains, and fields. Fall
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3.00 Credits
Prerequisite(s): MATH 4127/5127. The study of rings is continued to include topics of factor rings, ideals and factorization. The study of field theory is expanded to include extension fields and splitting fields, time permitting; Sylow theory is included. Spring
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