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Course Criteria
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3.00 Credits
Prerequisite: MATH 5111 with a grade of C or better. A continuation of group theory as well as study of rings, integral domains, and fields.
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3.00 Credits
Prerequisite: MATH 1132 with a grade of C or better. This course is an introduction to intuitive set theory. Topics include sets, operations for sets, relations, equivalence relations, functions, ordering relations, natural numbers, cardinal numbers, and countable sets. Emphasis will be placed on the extension of the natural numbers to the real numbers. This includes Cantor's definition of the real numbers and a detailed study of the properties of the real numbers.
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3.00 Credits
Prerequisite: MATH 3155 with a grade of C or better. Congruences, algebraic number fields, and prime number theorems.
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3.00 Credits
Prerequisites: STAT 3127 with a grade of C or better. Applied multivariate methods, sample correlations, multivariate date plots, eigenvalues and eigenvectors, principle components analysis, factor analysis, discriminant analysis, logistic regression methods, cluster analysis, mean vectors and variance-covariance matrices, multivariate analysis of variance, prediction models.
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3.00 Credits
Prerequisite: MATH 3108 with a grade of C or better. An introduction to risk management in property/casualty and life insurance. Survival distributions, life insurance, life annuities, benefit premiums and reserves, multiple life and decrement models of calculus. Applications of probability.
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3.00 Credits
Prerequisite: MATH 5121 with a grade of C or better. Individual and collective risk models, compound distributions, including applications such as stop-loss reinsurance.
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3.00 Credits
Prerequisites: MATH 1132 with a grade of C or better or MATH 2125 with a grade of C or better. Topics include enumeration, relations, graphs, trees, and modeling computation.
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3.00 Credits
Prerequisite: MATH 1132 with a grade of C or better. Axiomatic development of plane geometry and discussion of non-Euclidean geometry.
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3.00 Credits
Prerequisite: MATH 3155 with a grade of "C" or better. Topology of real line, sequences, convergent sequences, monotone sequences, Cauchy sequences, limits of functions, continuous functions, the derivative, the Mean Value Theorem, L'Hospital's rule, and Taylor's theorem.
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3.00 Credits
Prerequisite: MATH 5151 with a grade of "C" or better. The Riemann Integral, the properties of the Riemann Integral, the Fundamental Theorem of Calculus, Infinite Series, convergence of infinite series, convergence tests, power series, sequences and infinite series of functions.
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