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Course Criteria
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3.00 Credits
Description: ANOVA: multiple comparison procedures, contrasts, random and fixed effect models, transformations, experimental design, nested designs, randomized blocks, factorials, latin squares, analysis of covariance, multiple regression, correlation, statistical software packages. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 7404 Minimum Grade of C
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3.00 Credits
Description: Real numbers, completeness, sequences, limits, continuous functions, the derivative, sequences of functions, pointwise and uniform convergence, power series. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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3.00 Credits
Description: Advanced topics selected from real analysis, complex analysis, or higher analysis. Prerequisite: Determined by instructor. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 7600 Minimum Grade of C
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3.00 Credits
Description: Complex numbers, analytic functions, Cauchy-Riemann equations, complex integration, Cauchy integral theorem and Cauchy integral formulae, power series, Taylor and Laurent series, singularities, residue theorem, harmonic functions. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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3.00 Credits
Description: Vector spaces, linear transformations, eigenvalues and eigenvectors, invariant subspaces, decomposition theorem, Jordan forms, bilinear forms, selfadjoint operators, functions of operators, differential systems. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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3.00 Credits
Description: The sentential calculus, truth functions, analytic tableaux, natural deduction, first order logic, models, consistency, completeness. Applications to computer science including the P-NP problem. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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3.00 Credits
Description: Error generation and propagation, root finding, approximation of functions by polynomials and cubic splines, direct and iterative solutions of linear systems, operations count, numerical differentiation and integration. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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3.00 Credits
Description: Topics selected from: calculation of eigenvalues and eigenvectors, finite difference techniques, numerical methods for solving initial and boundary value problems, convergence, stability. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences Prerequisites: Graduate Arts and Sciences level MAT 7750 Minimum Grade of C
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3.00 Credits
Description: Divisibility; Euclidean algorithm; prime numbers; Fundamental Theorem of Arithmetic; congruences; arithmetic functions; Diophantine equations, additional topics, which may vary by semester, include cryptography, law of quadratic reciprocity, continued fractions. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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3.00 Credits
Description: Basic tools of financial markets; annuities; options; asset price random walks; estimation of parameters; Black-Scholes Model; implied volatility; portfolio-engineering; hedging; discrete models. 3.00credit(s) Restrictions: Must be enrolled in one of the following Levels: Graduate Arts and Sciences
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