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MATH 6312: Higher Abstract Algebra II
3.00 Credits
University of the Incarnate Word
Topics covered in the second semester include vector spaces and modules, extensions of fields, Galios theory, linear transformations and matrices.
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MATH 6312 - Higher Abstract Algebra II
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MATH 6313: Number Theory
3.00 Credits
University of the Incarnate Word
No course description available.
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MATH 6313 - Number Theory
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MATH 6315: Logic and Set Theory
3.00 Credits
University of the Incarnate Word
No course description available.
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MATH 6315 - Logic and Set Theory
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MATH 6316: Combinatorics
3.00 Credits
University of the Incarnate Word
Prerequisite: Abstract Algebra, Number Theory. Discrete Mathematics or consent of instructor. The counting principles, pigeon-hole principal, inclusion and exclusion, generating functions, designs and codes, Ramsey theory, graph theory and transversal theory.
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MATH 6316 - Combinatorics
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MATH 6320: Advanced Geometry
3.00 Credits
University of the Incarnate Word
No course description available.
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MATH 6320 - Advanced Geometry
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MATH 6321: Topology I
3.00 Credits
University of the Incarnate Word
Prerequisite: Advanced Calculus or consent of instructor. Cardinal and ordinal arithmetic, topological spaces, compactness, connectedness, continuity, homeomorphisms, continuum theory.
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MATH 6321 - Topology I
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MATH 6322: Topology II
3.00 Credits
University of the Incarnate Word
Product spaces and inverse limits, topology of Euclidean spaces, the fundamental group, metrization and paracompactness.
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MATH 6322 - Topology II
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MATH 6325: Research/Dev Math Programs
3.00 Credits
University of the Incarnate Word
No course description available.
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MATH 6325 - Research/Dev Math Programs
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MATH 6332: Introduction to Analysis
3.00 Credits
University of the Incarnate Word
This is a three-hour course which includes real number system, set theory and elementary topological properties of the real line, continuity and differentiability, sequences and series, uniform convergence, Riemann integration, and improper integrals. Some introduction measure theory and the Lebesaque integral may be included if time permits.
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MATH 6332 - Introduction to Analysis
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MATH 6334: Intro to Abstract Algebra
3.00 Credits
University of the Incarnate Word
This is a three-hour course that covers topics including finite fields, cummutative rings, fields, structure of groups, unique factorization, and advanced optional.
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MATH 6334 - Intro to Abstract Algebra
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