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MATH 202: Fundamental Concepts of Mathematics
3.00 Credits
California State University-Fresno
Prerequisites: MATH 151, 161, and 171. Fundamental notions regarding number theory, number systems, algebra of number fields; functions.
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MATH 202 - Fundamental Concepts of Mathematics
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MATH 216T: Topics in Number Theory
3.00 Credits
California State University-Fresno
Prerequisite: MATH 116. An investigation of topics having either historical or current research interest in the field of number theory.
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MATH 216T - Topics in Number Theory
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MATH 223: Principles and Techniques of Applied Mathematics
3.00 Credits
California State University-Fresno
Prerequisite: graduate standing or permission of instructor. Linear spaces and spectral theory of operators.
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MATH 223 - Principles and Techniques of Applied Mathematics
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MATH 228: Functions of a Complex Variable
3.00 Credits
California State University-Fresno
Prerequisite: MATH 128. Representation theorems of Weierstrass and Mittag-Leffler, normal families, conformal mapping and Riemann mapping theorem, analytic continuation, Dirichlet problem.
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MATH 228 - Functions of a Complex Variable
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MATH 232: Mathematical Models with Technology
3.00 Credits
California State University-Fresno
Prerequisite: graduate standing in mathematics or permission of instructor. A technology-assisted study of the mathematics used to model phenomena in statistics, natural science, and engineering.
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MATH 232 - Mathematical Models with Technology
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MATH 250: Perspectives in Algebra
3.00 Credits
California State University-Fresno
Prerequisite: graduate standing in mathematics or permission of instructor. Study of advanced topics in algebra, providing a higher perspective to concepts in the high school curriculum. Topics selected from, but not limited to, groups, rings, fields, and vector spaces.
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MATH 250 - Perspectives in Algebra
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MATH 251: Abstract Algebra I
3.00 Credits
California State University-Fresno
Prerequisite: undergraduate abstract algebra. Groups, rings, integral domains, and fields.
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MATH 251 - Abstract Algebra I
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MATH 252: Abstract Algebra II
3.00 Credits
California State University-Fresno
Prerequisite: MATH 251. Rings and ideals, modules, linear and multilinear algebras, representations.
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MATH 252 - Abstract Algebra II
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MATH 260: Perspectives in Geometry
3.00 Credits
California State University-Fresno
Prerequisite: graduate standing in mathematics or permission of instructor. Geometry from a transformations point of view. Euclidean and noneuclidean geometries in two and three dimensions. Problem solving and proofs using transformations. Topics chosen to be relevant to geometrical concepts in the high school curriculum.
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MATH 260 - Perspectives in Geometry
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MATH 263: Point Set Topology
3.00 Credits
California State University-Fresno
Prerequisite: MATH 172. Basic concepts of point set topology, set theory, topological spaces, continuous functions; connectivity, compactness and separation properties of spaces. Topics selected from function spaces, metrization, dimension theory.
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MATH 263 - Point Set Topology
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