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MAT 5110: Topics in Geometry
3.00 Credits
Villanova University
Description: Topics selected from affine, hyperbolic, spherical, elliptic, Euclidean or projective geometry. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2600 Minimum Grade of D-
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MAT 5110 - Topics in Geometry
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MAT 5200: Theory of Numbers
3.00 Credits
Villanova University
Description: Congruences, quadratic reciprocity, Diophantine equations; applications. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2600 Minimum Grade of D-
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MAT 5200 - Theory of Numbers
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MAT 5400: Complex Analysis
3.00 Credits
Villanova University
Description: Algebra of complex numbers, analytic functions, Cauchy- Riemann equation, Laplace equations, conformal mapping, integrals of complex functions, Cauchy's theorem, power series, Taylor's theorem, Laurent's theorem, residues, entire functions. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: (Undergraduate level MAT 2500 Minimum Grade of D- and Undergraduate level MAT 2600 Minimum Grade of D-)
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MAT 5400 - Complex Analysis
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MAT 5500: Topology
3.00 Credits
Villanova University
Description: Topological equivalence, connectedness, compactness, topology of subsets of Rn, manifolds, topological embeddings, topological spaces. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2500 Minimum Grade of D-
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MAT 5500 - Topology
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MAT 5600: Differential Geometry
3.00 Credits
Villanova University
Description: Geometry of curves and surfaces, curvature, first and second fundamental forms, minimal surfaces, use of MAPLE. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2500 Minimum Grade of D-
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MAT 5600 - Differential Geometry
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MAT 5700: Math Statistics I
3.00 Credits
Villanova University
Description: Probability, random variables, joint distributions, expected values, limit theorems, distributions derived from the normal distribution. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 2500 Minimum Grade of D- and Undergraduate level MAT 2705 Minimum Grade of D-
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MAT 5700 - Math Statistics I
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MAT 5705: Math Statistics II
3.00 Credits
Villanova University
Description: Survey sampling, parameter estimation, hypothesis testing, two sample tests, analysis of variance, analysis of categorical data, linear least squares. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 5700 Minimum Grade of D-
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MAT 5705 - Math Statistics II
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MAT 5900: Seminar in Mathematics
3.00 Credits
Villanova University
Description: Supervised study of selected topics or problems in mathematics, student presentations. May be repeated for credit if content is different. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate Prerequisites: Undergraduate level MAT 3300 Minimum Grade of D- or Undergraduate level MAT 3500 Minimum Grade of D-
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MAT 5900 - Seminar in Mathematics
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MAT 5920: Topics in Applied Mathematics
3.00 Credits
Villanova University
Description: Lecture course in an area of applied mathematics. May be repeated for credit if topics are different. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate
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MAT 5920 - Topics in Applied Mathematics
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MAT 5930: Topics in Pure Mathematics
3.00 Credits
Villanova University
Description: Lecture course in an area of pure mathematics. May be repeated for credit if topics are different. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Undergraduate
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MAT 5930 - Topics in Pure Mathematics
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