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Course Criteria
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3.00 Credits
Prerequisite: MATH 2115 and 2221, or consent of department. General principles in mathematical modeling, derivation and analysis of specific models using ordinary and partial differential equations; examples drawn from the applied sciences may include traffic flow, biological systems, mechanical systems, discussion of stability and dependence on parameters.
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3.00 Credits
Prerequisite: MATH 2314 or other introductory level statistics course, or consent of department. Only one of MATH 4301 or MATH 6301 may be counted toward a master's degree in Mathematics. An introduction to the SAS statistical computer package. Basic analysis of variance with fixed and random effects models, multifactor analysis of variance, analysis of covariance. Experimental designs including completely randomized designs, randomized block designs, nested designs, and Latin squares.
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3.00 Credits
Prerequisite: MATH 2314 or other introductory level statistics course, or consent of department. Only one of MATH 4304 or 6304 may be counted toward a master's degree in Mathematics. Linear regression, inferences in regression analysis, aptness of model and remedial measures, matrices, multiple and polynomial regression, indicator variables, multi-collinearity, selection of independent variables, nonlinear regression. SAS will be used for data analysis.
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3.00 Credits
Prerequisite: MATH 2511 or the consent of the department. Emphasis is on topics in matrix theory which frequently arise in the study of statistics. Topics in include eigenvalues and eigenvectors, generalized inverses, matrix decomposition, linear systems, matrix derivatives, and special matrices. Topics in statistics are not a portion of this course.
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3.00 Credits
Prerequisite: MATH 2109 or 2112 or consent of department. MATH 4311 is prerequisite to MATH 4312. Axiomatic probability, discrete and continuous distributions, expectation, estimation, central limit theorem, confidence intervals and tests of hypotheses, regression, Bayesian statistics, other topics.
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3.00 Credits
Prerequisite: MATH 2109 or 2112 or consent of department. MATH 4311 is prerequisite to MATH 4312. Axiomatic probability, discrete and continuous distributions, expectation, estimation, central limit theorem, confidence intervals and tests of hypotheses, regression, Bayesian statistics, other topics.
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3.00 Credits
Prerequisite: MATH 4301 or 4304, or consent of department. Organizing and summarizing data; one-sample, two-sample, and k-sample tests; tests based on the binomial distribution; confidence intervals; Wilcoxon type tests; Kruskal-Wallis and Friedman tests; contingency tables; tests based on ranks; and Kolgoromov-Smirnoff type statistics.
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3.00 Credits
Prerequisite: MATH 2115 or consent of department. Discrete probability theory, Markov chains, elementary limit laws and theorems.
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3.00 Credits
Prerequisite: MATH 4311 or 4371 or consent of department. Introduction to Poisson processes, Brownian motion, branching processes, and related topics with applications.
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3.00 Credits
Prerequisites: MATH 2115 and MATH 2314 or consent of department. Deterministic and stochastic actuarial modeling, stochastic processes, Markov chains, the Poisson process, Brownian motion, applications of each of the above concepts to actuarial problems.
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