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Course Criteria
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3.00 Credits
Properties of the natural numbers and integers: divisibility, primes, number theoretic functions, Diophantine equations, congruences, quadratic reciprocity, additive number theory, unsolved problems. Prerequisite: MAT 211. Ressler
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3.00 Credits
Fourier series, orthogonal series, boundary value problems, applications. Prerequisite: MAT 229. Staff
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3.00 Credits
Algebraic systems and their morphisms including sets, functions, groups, homomorphisms, factor groups, rings, and fields. Prerequisite: MAT 211. McCooey
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3.00 Credits
An introduction to the ideas and proof techniques specific to mathematical analysis. Real numbers, sequences, limits, derivatives, integrals, infinite series, cardinality; other topics as chosen by instructor. Prerequisite: MAT 211. Gethner
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3.00 Credits
Discrete, deterministic models of interest to the social sciences. Linear programming, duality, simplex method, sensitivity analysis, convex sets. Selections from: assignment, transportation, network flow, nonlinear programming problems. Prerequisite: MAT 229. A. Levine
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3.00 Credits
Numerical analysis as implemented on computers. Polynomial and rational approximations, numerical differentiation and integration, systems of linear equations, matrix inversion, eigenvalues, first and second order differential equations. Prerequisites: CPS 150, MAT 229. Same as CPS 338. Staff
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3.00 Credits
An introduction to the art of creating and analyzing deterministic mathematical models. Models of physical, biological, and social phenomena. Topics vary with instructor; examples are predator-prey interactions, spread of epidemics, arms races, and changes in global temperature. Mathematical techniques include phase-plane analysis of systems of differential equations, and function iteration. Prerequisite: MAT 229. A. Levine
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3.00 Credits
Advanced Algebra, Advanced Multivariable Calculus, Measure Theory, Algebraic Topology, History and Development of Calculus.
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3.00 Credits
Courses of an algebraic nature such as Ring Theory, Advanced Linear Algebra, and Algebraic Number Theory, that can be taken in place of, or in addition to, MAT 330 to satisfy the major requirements. May be repeated with permission of department. Prerequisite: MAT 211.
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3.00 Credits
Independent study directed by the Mathematics staff. Permission of chairperson.
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