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Math 435: Theory of Numbers
3.00 Credits
University of North Dakota
3 credits. Prerequisite: Math 208 or 330. Basic properties of numbers, including divisibility, primes, congruences, Diophantine equations and residue theory. S/2
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Math 435 - Theory of Numbers
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Math 441: Abstract Algebra
3.00 Credits
University of North Dakota
3 credits. Prerequisite: Math 330 or consent of instructor. Rings, integral domains, fields, elements of group theory. F
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Math 441 - Abstract Algebra
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Math 442: Linear Algebra
3.00 Credits
University of North Dakota
3 credits. Prerequisite: Math 265 and 330 or consent of instructor. A theoretical treatment of systems of linear equations, matrices, vector spaces, linear transformations and elementary canonical forms. S
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Math 442 - Linear Algebra
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Math 450: Elements of Topology
3.00 Credits
University of North Dakota
3 credits. Prerequisite: Math 330 or consent of instructor. Set operations, mappings, functions, continuity, compactness, connectedness and topological spaces with special emphasis on topologies of the real line. On demand.
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Math 450 - Elements of Topology
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Math 460: Mathematical Modeling
3.00 Credits
University of North Dakota
3 credits. Prerequisite: Math 266 and either 327 or 442, or consent of instructor. The primary goal of the course is to present the mathematical analysis provided in scientific modeling. Topics may include population modeling, mechanical vibrations, traffic flow, epidemic modeling, queues and decay processes. F/2
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Math 460 - Mathematical Modeling
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Math 461 ,462: Numerical Analysis I and II
3.00 Credits
University of North Dakota
3 credits each. Prerequisite: Math 266 and a scientific programming language. Prerequisite for 462 is Math 461 or consent of instructor. Numerical techniques for: the solution of equations in one or several unknowns, approximate integration, differential equations, approximation theory, optimization theory and matrix analysis. Corresponding error analysis will be investigated. F/2, S/2
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Math 461 ,462 - Numerical Analysis I and II
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Math 465: Topics in Operations Research
3.00 Credits
University of North Dakota
3 credits. Prerequisites: Math 265 and either 327 or 442, or consent of instructor. The primary goal of this course is to present mathematical methods useful in the analysis of problems that involve making decisions. Topics may include optimization, mathematical programming, network analysis, decision theory, game theory, queueing theory, and dynamic programming. S/2
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Math 465 - Topics in Operations Research
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Math 471: Introduction to Complex Variables
3.00 Credits
University of North Dakota
3 credits. Prerequisite: Math 265. The complex plane, analytic functions, complex integration, power series, the theory of residues and contour integration, conformal mapping, Fourier and Laplace transformations, and applications. F/2
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Math 471 - Introduction to Complex Variables
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Math 477: Topics in Elementary School Mathematics
1.00 - 3.00 Credits
University of North Dakota
1-3 credits. May be repeated for credit up to six credits. For elementary education majors only. Selected topics from Mathematical concepts appropriate to the elementary school curriculum. On Demand.
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Math 477 - Topics in Elementary School Mathematics
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Math 479: Topics in Mathematics Education
1.00 - 3.00 Credits
University of North Dakota
1-3 credits. Prerequisite: Consent of instructor. May be repeated for up to six credits. Selected topics from mathematical concepts appropriate for K-12 educators. On demand.
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Math 479 - Topics in Mathematics Education
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