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MTSE 4200: Dynamical Systems
3.00 Credits
University of North Texas System
3 hours. One-dimensional dynamics. Sarkovskii's theory, routes to chaos, symbolic dynamics, higher-dimensional dynamics, attractors, bifurcations, quadratic maps, Julia and Mandelbrot sets. Prerequisite(s): MATH 3610.
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MTSE 4200 - Dynamical Systems
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MTSE 4430: Introduction to Graph Theory
3.00 Credits
University of North Texas System
3 hours. Introduction to combinatorics through graph theory. Topics introduced include connectedness, factorization, Hamiltonian graphs, network flows, Ramsey numbers, graph coloring, automorphisms of graphs and Polya's Enumeration Theorem. Connections with computer science are emphasized. Prerequisite(s): MATH 2510 or 2770.
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MTSE 4430 - Introduction to Graph Theory
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MTSE 4450: Introduction to the Theory of Matrices
3.00 Credits
University of North Texas System
3 hours. Congruence (Hermitian); similarity; orthogonality, matrices with polynomial elements and minimal polynomials; Cayley-Hamilton theorem; bilinear and quadratic forms; eigenvalues. Prerequisite(s): MATH 2700.
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MTSE 4450 - Introduction to the Theory of Matrices
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MTSE 4500: Introduction to Topology
3.00 Credits
University of North Texas System
3 hours. Point set topology; connectedness, compactness, continuous functions and metric spaces. Prerequisite(s): MATH 3610.
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MTSE 4500 - Introduction to Topology
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MTSE 4520: Introduction to Functions of a Complex Variable
3.00 Credits
University of North Texas System
3 hours. Algebra of complex numbers and geometric representation; analytic functions; elementary functions and mapping; real-line integrals; complex integration; power series; residues, poles, conformal mapping and applications. Prerequisite(s): MATH 2730.
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MTSE 4520 - Introduction to Functions of a Complex Variable
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MTSE 4610: Probability
3.00 Credits
University of North Texas System
3 hours. Combinatorial analysis, probability, conditional probability, independence, random variables, expectation, generating functions and limit theorems. Prerequisite(s): MATH 2730.
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MTSE 4610 - Probability
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MTSE 4650: Statistics
3.00 Credits
University of North Texas System
3 hours. Sampling distributions, point estimation, interval estimation, hypothesis testing, goodness of fit tests, regression and correlation, analysis of variance, and non-parametric methods. Prerequisite(s): MATH 3680 and 4610.
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MTSE 4650 - Statistics
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MTSE 4900: Special Topics in Materials Science and Engineering
8.00 Credits
University of North Texas System
1-3 hours (maximum of 8 credits). Lectures, laboratory or other experiences covering specially selected topics in materials science and engineering. Prerequisite(s): MATH 1710, CHEM 1410/1430. May be repeated as topics vary.
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MTSE 4900 - Special Topics in Materials Science and Engineering
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MTSE 4900-4910: Special Problems
1.00 - 3.00 Credits
University of North Texas System
1-3 hours each.
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MTSE 4900-4910 - Special Problems
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MTSE 4910: Materials Science Research
1.00 - 3.00 Credits
University of North Texas System
1-3 hours. Introduction to research; may consist of an experimental, theoretical or review topic.
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MTSE 4910 - Materials Science Research
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