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Course Criteria
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3.00 Credits
MATH 461 -- Probability and Mathematical Statistics I (3) Probability, random variables, distributions, stochastic independence, moment generating functions, limit theorems and their applications, estimation, Prerequisite: MATH 253. Fall only.
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3.00 Credits
MATH 524 -- Modern Algebra II (3) Topics in the theory of groups, rings and fields, such as factorization and Galois theory. May be used for major elective. Prerequisites: MATH 423. (MATH 375 recommended). Spring only.
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3.00 Credits
MATH 526 -- Linear Algebra II (3) Selected topics: inner product spaces, canonical forms, bilinear and quadratic forms. May be used for major elective. Prerequisites: MATH 375 and permission. As demand warrants.
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3.00 Credits
MATH 541 -- Introduction to Topology (3) Open and closed sets, continuous functions, compactness, connectedness, separation properties and product spaces. May be used for major elective. Prerequisite: MATH 451. Spring only.
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3.00 Credits
MATH 547 -- Theory of Sets (3) Theoretical set concepts, axioms of set theory; axioms of choice and Zorn's lemma, ordinals and cardinals, transnite induction. May be used for major elective. By invitation only. Prerequisites: MATH 340 and permission. Spring only.
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3.00 Credits
MATH 553 -- Concepts of Geometry (3) Topics from Euclidean and non-Euclidean geometries: theory of transformations of the plane, elements of projective geometry, etc. May be used for major elective. Prerequisites: MATH 375 and 423. Spring only.
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3.00 Credits
MATH 567 -- Complex Variables/Applications (3) Complex numbers, analytic functions, contour integration, power series, conformal mapping, residues and poles. May be used for major elective. Prerequisite: MATH 451. Spring only.
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3.00 Credits
MATH 661 -- Topology I (3) Ordinals and cardinals, topological spaces, metric spaces, Cartesian products, connectedness, identification topology, weak topologies, separation axioms. Prerequisite: MATH 451. Spring only.
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3.00 Credits
MATH 671 -- Abstract Algebra I (3) Groups, Sylow theorems, rings, modules. Prerequisites: MATH 375 and permission. Fall only.
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3.00 Credits
MATH 672 -- Abstract Algebra II (3) Continuation of MATH 671. Galois theory, structure theorem for semisimple rings, injective and projective modules, introduction to homological algebra. Prerequisites: MATH 671 and permission. Spring only.
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