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MATH 4411: G Intro to Complex Analysis
3.00 Credits
University of New Orleans
Prerequisite: MATH 2115 or consent of department. Complex plane, analytic functions, Cauchy-Riemann equations, mappings by elementary functions, complex integration, Cauchy's theorem, Cauchy integral formula and applications, Taylor series, Laurent series, isolated singularities, residue theorem and applications.
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MATH 4511: G Linear Algebra
3.00 Credits
University of New Orleans
Prerequisite: MATH 2511 or 3512. Inner product spaces, dual spaces, canonical forms, the spectral theorem, quadratic forms, operators, the classical groups, multilinear algebra and applications.
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MATH 4512: G Abstract Algebra
3.00 Credits
University of New Orleans
Prerequisite: MATH 3512. Ideals, Euclidean and principal ideal domains, finite fields, Sylow theorems, and solvable groups.
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MATH 4518: G Elementary Number Theory
3.00 Credits
University of New Orleans
Prerequisite: consent of department. Divisibility, congruences, power residues, quadratic residues, certain arithmetic functions and selected topics.
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MATH 4524: G Mathematical Logic
3.00 Credits
University of New Orleans
Prerequisite: MATH 2721 or 3512 or consenf of department. Propositional and predicate calculus; formal systems; computability and decidability.
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MATH 4611: G Topology
3.00 Credits
University of New Orleans
Prerequisite: MATH 4101 or consent of department. Topological spaces, continuous maps and homeomorphisms, product spaces, connectedness, separation axioms, compactness, and metric spaces.
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MATH 4711: G Graph Theory
3.00 Credits
University of New Orleans
Prerequisite: MATH 2511 or MATH 2721 or consent of department. An introduction to graph theory and its applications; the basic theorems and algorithms. Paths and cycles, colorings, planarity, directed graphs, networks.
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MATH 4721: G Combinatorics
3.00 Credits
University of New Orleans
Prerequisite: MATH 2511 or 2721 or consent of department. Permutations, combinations, and partitions; inclusion-exclusion principle; generating functions and recurrence relations; matchings; combinatorial designs.
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MATH 4990: G Special Topics
3.00 Credits
University of New Orleans
Prerequisite: consent of department. Six hours maximum will be accepted for graduate credit.
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MATH 4991: G Special Topics
3.00 Credits
University of New Orleans
Prerequisite: consent of department. Six hours maximum will be accepted for graduate credit.
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