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MAT 3400: Linear Algebra
3.00 Credits
Villanova University
Description: Vector spaces, linear transformations, basis and dimension, orthogonal transformations, least squares, eigenvalues and eigenvectors, similarity, diagonalization, symmetric, applications. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 3400 - Linear Algebra
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MAT 3500: Modern Algebra I
3.00 Credits
Villanova University
Description: Topics selected from groups and subgroups, cyclic groups, permutation groups, isomorphisms, direct products, cosets and Lagrange's Theorem, normal subgroups and factor groups, group homomorphisms, the Fundamental Theorem of Finite Abelian Groups, rings, fields. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2600 Minimum Grade of D- and Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 3500 - Modern Algebra I
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MAT 3505: Modern Algebra II
3.00 Credits
Villanova University
Description: Rings, subrings, integral domains, ideals and factor rings, ring homomorphisms, polynomial rings, fields, extensions fields, finite fields. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 3500 Minimum Grade of D-
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MAT 4110: Combinatorics
3.00 Credits
Villanova University
Description: Induction, permutations and combinations, general counting methods, generating functions, recurrence relations, principle of inclusion-exclusion, graph theory, trees, planarity, crossing numbers, Hamiltonian cycles, Eulerian tours. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 1505 Minimum Grade of D-
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MAT 4110 - Combinatorics
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MAT 4270: Numerical Analysis
3.00 Credits
Villanova University
Description: Numerical and computational aspects of root-finding methods, interpolation and polynomial approximation, numerical differentiation and integration, approximation theory. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 1505 Minimum Grade of D-
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MAT 4270 - Numerical Analysis
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MAT 4310: Stat Methods
3.00 Credits
Villanova University
Description: Data displays and summarization, probability distributions, point and interval estimation, hypothesis testing, categorical data analysis, regression and correlation. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 1505 Minimum Grade of D-
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MAT 4310 - Stat Methods
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MAT 4410: Math Modeling
3.00 Credits
Villanova University
Description: Model formulation, the modeling process, graphs as models, examples from the physical and social sciences, parameter estimation, experimental modeling, dimensional analysis, modeling discrete and continuous dynamic behavior, implementation. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 4550: Math of Financial Derivatives
3.00 Credits
Villanova University
Description: Basic tools of financial markets; options; asset price random walks; estimation of parameters; arbitrage put-call parity; Black-Scholes Model; implied volatility; portfolio-optimization; hedging. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 4550 - Math of Financial Derivatives
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MAT 4600: Deterministic Oper Res
3.00 Credits
Villanova University
Description: Deterministic methods: mathematical optimization, linear programming, formulation and solution techniques, duality, integer linear programming, transportation problem, assignment problem, network flows, dynamic programming. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 4600 - Deterministic Oper Res
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MAT 4610: Stochastic Oper Research
3.00 Credits
Villanova University
Description: Probabilistic methods: brief review of probability, transient and asymptotic properties of Markov chains, queuing models and their applications, Markov decision processes, forecasting, game theory, simulation. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 4610 - Stochastic Oper Research
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