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Course Criteria
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3.00 Credits
P: MATH M216 or consent of instructor. Preparation for 400-level math courses. Teaches structures and strategies of proofs in a variety of mathematical settings: logic, sets, combinatorics, relations and functions, and abstract algebra. Credit given only for one of MATH M391, MATH M393. (Spring-even years)
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3.00 Credits
P: MATH M301 or MATH M307. Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations. (Fall- odd years)
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3.00 Credits
P: MATH M216. Numbers and their representation, divisibility and factorization, primes and their distribution, number theoretic functions, congruences, primitive roots, diophantine equations, quadratic residues, sums of squares, number theory and analysis, algebraic numbers, irrational and transcendental numbers. (Occasionally)
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3.00 Credits
Selected topics in various areas of mathematics that are not covered by the standard courses. May be repeated for credit. (Occasionally)
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3.00 Credits
P: MATH M301 or MATH M303, and MATH M311, or consent of instructor. Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics. (Spring- even years)
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3.00 Credits
P: MATH M301 or MATH M303. Topology of Euclidean and metric spaces. Limits and continuity. Topological properties of metric spaces, including separation properties, connectedness, and compactness. Complete metric spaces. Elementary general topology. (Occasionally)
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3.00 Credits
P: MATH M301 or MATH M303. Graph theory: basic concepts, connectivity, planarity, coloring theorems, matroid theory, network programming, and selected topics. Combinatorial theory: generating functions, incidence matrices, block designs, perfect difference sets, selection theorems, enumeration, and other selected topics. (Occasionally)
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3.00 Credits
P: MATH M391 or its equivalent. Non-Euclidean geometry, axiom systems. Plane projective geometry, Desarguesian planes, perspectivities coordinates in the real projective plane. The group of projective transformations and subgeometries corresponding to subgroups. Models for geometries. Circular transformations. (Spring-odd years)
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3.00 Credits
P: MATH M311 and MATH M360, or consent of instructor. Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. (Fall-odd years)
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3.00 Credits
P: MATH M311 and MATH M360, or consent of instructor. Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. (Spring-even years)
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