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Course Criteria
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3.00 Credits
Credits: 3 Explores internal controversies and dynamics of mathematics in larger intellectual and social settings. Topics vary but might include differential equations devised for mechanics and astronomy by Euler, Lagrange, and Laplace; foundation of mathematical analysis from Cauchy to Weierstrass; algebras of Galois and Boole; or creation of non-Euclidean geometry and Cantor's transfinite sets. Prerequisites Completion or concurrent enrollment in all other required general education courses, and completion of MATH 290. Notes Credits may not be used toward "upper division" math hours required of math majors.Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 A project, which is intended to result in a thesis, is to be chosen and completed under the guidance fo a full-time faculty member. An oral presentation is required for MATH 405. Prerequisites Two MATH courses at the 300 or higher level (excluding MATH 400), at least one of which has MATH 290 as a prerequisite, and admission to the Mathematics Honors Program. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 A project, which is intended to result in a thesis, is to be chosen and completed under the guidance of a full-time faculty member. Oral and written presentations are required in MATH 406. Prerequisites MATH 405 Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Analytic functions, contour integration, residues, and applications to such topics as integral transforms, generalized functions, and boundary value problems. Prerequisites Grade of C or better in MATH 214 or 216. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Synthesis of pure mathematics and computational mathematics. Emphasizes interplay between discrete and continuous mathematics. Mathematical structure revealed from equilibrium models in discrete and continuous systems. Prerequisites Grade of C or better in MATH 203 and 214 or 216. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Continuation of MATH 413, which involves synthesis of pure mathematics and computational mathematics. Fourier analysis and its role in applied mathematics developed (differential equations and approximations). Discrete aspects emphasized in computational models. Prerequisites Grade of C or better in MATH 413. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Metric spaces, topological spaces, compactness, and connectedness. Prerequisites C or better in MATH 315. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Survey of deterministic methods for solving real-world decision problems. Programming model and simplex method of solution, duality and sensitivity analysis, transportation and assignment problems, shortest path and maximal flow problems, project networks including PERT and CPM, introduction to integer and nonlinear programming, dynamic programming, and game theory. Emphasizes modeling and problem solving. Prerequisites Grade of C or better in MATH 203 Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Survey of probabilistic methods for solving real-world decision problems. Probability review, queuing theory, inventory theory, Markov decision processes, reliability, decision theory, simulation. Emphasizes modeling and problem solving. Prerequisites Grade of C or better in MATH 351. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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3.00 Credits
Credits: 3 Significant figures, round-off errors, iterative methods of solution of nonlinear equations of a single variable, solutions of linear systems, iterative techniques in matrix algebra, interpolation and polynomial approximation. Prerequisites Grade of C or better in MATH 203 and CS 112. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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