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MAT 8462: Stochastic Processes
3.00 Credits
Villanova University
Description: Generating functions, convolutions, recurrent events, random walk models, gambler's ruin problem, Markov chains: Markov processes in continuous time; queuing processes, epidemic processes. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 8400 Minimum Grade of C
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MAT 8462 - Stochastic Processes
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MAT 8600: Real Analysis
3.00 Credits
Villanova University
Description: General theory of measure and integration, Lebesgue measure, Lebesgue integral. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 7605 Minimum Grade of C
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MAT 8600 - Real Analysis
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MAT 8650: Abstract Algebra
3.00 Credits
Villanova University
Description: Groups, homomorphisms, factor groups, rings, fields, finite fields, selected applications. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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MAT 8650 - Abstract Algebra
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MAT 8655: Algebra II
3.00 Credits
Villanova University
Description: Possible topics include Boolean algebras, graph theory, coding theory, Galois theory. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 8650 Minimum Grade of C
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MAT 8655 - Algebra II
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MAT 8700: Topology I
3.00 Credits
Villanova University
Description: Topological equivalence, connectedness, compactness, manifolds, homotopy. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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MAT 8700 - Topology I
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MAT 8705: Topology II
3.00 Credits
Villanova University
Description: Selected topics from point set and geometric topology. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 8700 Minimum Grade of C
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MAT 8705 - Topology II
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MAT 8740: Applied Math I
3.00 Credits
Villanova University
Description: Symmetric linear systems, eigenvalue and dynamical systems, Lagrange multipliers, equilibrium and minimum principles, least squares estimation and Kalman filter, equilibrium of fluids and solids, calculus of variations. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 7660 Minimum Grade of C
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MAT 8740 - Applied Math I
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MAT 8745: Applied Math II
3.00 Credits
Villanova University
Description: A continuation of MAT 8740. 3.00credit(s) Restrictions:
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MAT 8745 - Applied Math II
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MAT 8790: Selected Topics I
3.00 Credits
Villanova University
Description: Particular topics of study determined on a year to year basis to suit the desire and prepartion of students. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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MAT 8790 - Selected Topics I
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MAT 8795: Selected Topics II
3.00 Credits
Villanova University
Description: Same as MAT 8790. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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MAT 8795 - Selected Topics II
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