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Course Criteria
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3.00 Credits
An introduction to linear programming techniques that solve real applied problems. The focus is on using linear programming techniques, applications, models, algorithms, and a computer software package to solve optimization, product-mix, transportation, scheduling, assignment, and hiring-firing problems. Methods learned include the revised simplex method, duality, sensitivity analysis, integer programming, and sparse matrix techniques
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3.00 Credits
An introduction to numerical techniques implemented on microcomputers to find roots of equations, solutions to linear and nonlinear systems, and definite integrals
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3.00 Credits
A selection of topics from set theory, combinatorics, graph theory, algebra, Boolean algebra, formal logic, and computer science that are both useful and basic to students in applied mathematics, computer science, and engineering. Formal mathematical proofs via induction, combinatorial arguments, truth tables and propositions, Russell's Paradox, principle of inclusion and exclusion, the pigeonhole principle and analysis of algorithms, countably and uncountably infinite sets, generating functions, recurrence relations, and lattices
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3.00 Credits
An examination of independence and completeness of axiomatic systems. Euclidean and non-Euclidean geometries, including finite and projective geometries. Construction of proofs in Euclidean geometry in two and three dimensions
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3.00 Credits
An introduction to solvability techniques for separable, linear, and exact first order equations; methods of undetermined coefficients and variation of parameters; Laplace transform methods for systems with constant coefficients and qualitative arguments and iterative methods
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3.00 Credits
An account of classical number theory as well as some of the historical background in which number theory evolved. Especially intended for prospective secondary teachers to provide familiarity with the number theory and basic concepts of mathematical proofs and reasoning: the division algorithm, the Euclidean algorithm, primes and their distribution, the theory of congruence, Mobius inversion, perfect numbers, the Fermat Conjecture, and Fibonacci numbers
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4.00 Credits
An introduction to Multi-Variable Calculus and its applications. Topics include: Polar coordinates, vector analysis, parametric curves, differential calculus of several variables, multiple integration, Green's theorem and Stokes' theorem
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1.00 Credits
An opportunity for junior mathematics majors to research current trends and topics of interest in an area of mathematics or engineering and present a seminar and paper devoted to this topic. Students work in conjunction with a faculty mentor. The course covers topics in scientific research and presentation. One hour of seminar per week
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1.00 Credits
An opportunity for junior mathematics majors to research current trends and topics of interest in an area of mathematics or engineering and present a seminar and paper devoted to this topic. Students work in conjunction with a faculty mentor. The course covers topics in scientific research and presentation. One hour of seminar per week
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1.00 - 6.00 Credits
An intensive, independent study of topics such as graph theory or the study of mathematics using computer algebra systems. 1-6 credits PERMISSION FROM THE DEPARTMENT CHAIR REQUIRED. PREREQUISITE: MAT 302.
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