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Course Criteria
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 2450. An introductory calculusbased course in probability and statistics. Topics include descriptive statistics and linear regression, basic probability and probability distributions, point estimation, confidence intervals, and hypothesis testing.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 3350. A continuation of the study of probability and statistics, emphasizing the theory of statistical inference. Topics include two-sample estimation and tests of hypothesis, analysis of variance and randomized block designs, regression analysis, correlation, transformations and multiple regression, and quality control methods.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 2450. An introductory course in discrete mathematics emphasizing the formulation and solution of problems which are discrete in nature. Topics include logic, sets, relations, combinatorial methods, recurrence relations, graphs and networks, directed graphs, and Boolean algebras.
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3.00 Credits
3 hours Prerequisite: Grade C or above in MATH 2460. An introductory course in Graph Theory. Topics include fundamental concepts and definitions, trees, distance, matchings, factors, connectivity, paths, and graph colorings. Applications of these topics will be investigated and will include the development of appropriate algorithms.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 2460. An introduction to the mathematics of cryptology and cryptanalysis. Topics include difficulty of an algorithm in terms of polynomial time; number theory topics of divisibility, greatest common divisor, the Euclidean Algorithm, prime numbers, congruence, Fermat's little theorem, factoring, and discrete logarithms; encryption schemes and the associated matrices or linear maps; perfect security; the DES algorithm; public-key encryption; and digital signatures. The ability to read a proof is expected.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 2460. A course in numerical solutions to problems in mathematics: roots of non-linear equations, zeros of polynomials, interpolation, systems of linear algebraic equations, quadrature, ordinary differential equations with analysis of methods and errors, and programming of methods on a computer.
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3.00 Credits
3 hours Prerequisites: Grade of C or above in MATH 2040 or MATH 2450. Game theory models will be discussed from a humanities-based, decision-sciences perspective. Topics will include strategic, matrix and sequential games, optimization, Nash equilibria and strategies. Applications will include economic and strategic (military) models, the Prisoner's Dilemna, Cournot Duopoly, bargaining and auctions.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 2800. A formal introduction to the algebra of groups, rings, and fields.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 3600. A continuation of MATH 3600. Topics include group theory, ring theory, field theory, Galois theory, and finite fields.
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3.00 Credits
3 hours Prerequisite: Grade of C or above in MATH 2460. An introduction to the basic concepts of linear algebra. Topics include finite-dimensional vector spaces, bases, linear transformations, and matrices.
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