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MATH 605: Design Theory and Association Schemes
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. F., offered 2008. Prereq : 504. Combinatorial designs and Latin squares. Construction methods including fi nite fi elds. Errorcorrecting codes. Adjacency matrices and algebraic combinatorics.
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MATH 605 - Design Theory and Association Schemes
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MATH 606: Enumerative Combinatorics and Ordered Sets
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. S., offered 2009. Prereq : 504 or permission of instructor. Ordered sets and lattices. Generating functions. Moebius inversion and other enumeration methods.
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MATH 606 - Enumerative Combinatorics and Ordered Sets
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MATH 607: Modern Graph Theory
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. F., offered 2007. Prereq : 504 or permission of instructor. Structural and extremal theory of graphs. Topics include basic structures (trees, paths and cycles), networks, colorings, connectivity, topological graph theory, Ramsey theory, forbidden graphs and minors, introduction to random graphs, applications.
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MATH 607 - Modern Graph Theory
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MATH 610: Seminar
3.00 Credits
Iowa State University
Cr. arr.
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MATH 610 - Seminar
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MATH 615: General Theory of Algebraic Structures I
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. F., offered 2007. Prereq : 504. First semester of full-year course. Subalgebras, homomorphisms, congruence relations, and direct products. Lattices and closure operators. Varieties and quasivarieties of algebras, free algebras, Birkhoff's theorems, clones, Mal'cev conditions. Advanced topics.
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MATH 615 - General Theory of Algebraic Structures I
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MATH 616: General Theory of Algebraic Structures II
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. S., offered 2008. Prereq : 615. Continuation of Math 615.
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MATH 616 - General Theory of Algebraic Structures II
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MATH 617: Category Theory
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. F., offered 2008. Prereq : 504. Categories and functors and their applications.
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MATH 617 - Category Theory
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MATH 618: Boolean Algebras
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. S., offered 2009. Prereq : 504. Structure of Boolean algebras and their representations. Stone spaces and duality. Atomicity, completeness, distributivity, operators, extensions of homomorphisms. Examples and applications from mathematical logic and topology.
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MATH 618 - Boolean Algebras
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MATH 621: Topology
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. F., offered 2008. Prereq : Permission of instructor. Introduction to general topology. Topological spaces, continuous functions, connectedness, compactness. Topics selected from countability and separation axioms, metrization, and complete metric spaces.
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MATH 621 - Topology
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MATH 622: Algebraic Topology
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. S., offered 2009. Prereq : 504. Foundations of algebraic topology. The fundamental group, simplicial homology groups, and singular homology groups.
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MATH 622 - Algebraic Topology
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