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Course Criteria
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4.00 Credits
4 cl hrs, 4 cr A continuation of MAT 1575/MA 575. Topics include improper integrals, series, vectors, solid analytic geometry, partial derivatives and multiple integrals. Prerequisite: MAT 1575/MA 575
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3.00 Credits
3 cl hrs, 3 cr An introduction to the analysis of the time complexity of sequential and parallel algorithms. Topics include: average complexity, lower bound theory, the greedy method, the divide and conquer paradigm, dynamic programming and probabilistic algorithms. Prerequisites: MAT 1440/MA 440, MAT 2580/MA 580, CST 3503/CS 503
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3.00 Credits
3 cl hrs, 3 cr Topics include methods of solving ordinary differential equations and applications to various problems. Prerequisite: MAT 1575/MA 575
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3.00 Credits
3 cl hrs, 3 cr The study of different types of optimization problems arising in different fields of business and industry. Examples are provided on sensitivity analysis of parameters of a model and calculating shadow prices. Prerequisites: MAT 2580/MA 580, MAT 2675/MA 675, CST 1101/CS 101
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3.00 Credits
3 cl hrs, 3 cr The use of discrete and continuous distributions to construct deterministic and stochastic simulation models. Stochastic simulations may include Markov Processes, M/G/I Queuing Systems, Monte Carlo Simulation and Analytic Simulation. Prerequisites: MAT 2672/MA 672, MAT 2675/MA 675, CST 2403/CS 403
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3.00 Credits
3 cl hrs, 3 cr The study of Laplace and Fourier transforms and their applications to analysis of continuous and discrete time signal processing. The sampling theorem and real-world digital-toanalog conversion. Prerequisites: MAT 2580/MA 580, MAT 2675/MA 675
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3.00 Credits
3 cl hrs, 3 cr The fundamentals of applied coding theory and various techniques in cryptography. Topics include: publickey cryptography, elliptic curves, digital signatures, error correcting codes and BCH codes. Prerequisites: MAT 2580/MA 580, MAT 2675/MA 675, CST 2403/CS 403
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3.00 Credits
3 cl hrs, 3 cr Focuses on the Black-Scholes Model. Includes risk measures in a portfolio of financial assets: The Greek Letters and Value at Risk. Computer models will be used. Prerequisites: MAT 2630/MA 630, MAT 2572, MAT 2675/MA 675, CST 3503/CS 503
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4.00 Credits
4 cl hrs, 4 cr The study of exponential distribution and reliability and failure rates. Hypo- and Hyperexponential, Erland, Gamma and Weibull distributions. Expectation of multiple random variables and the computation of mean time failure. Transition probabilities and time birth-death process. Least squares curve fitting and analysis of variance. Prerequisite: MAT 3772/MA 772
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3.00 Credits
3 cl hrs, 3 cr The study of continuous-time and discrete-time nonlinear dynamic models. Provides examples of chaotic behavior of solutions of some dynamic models. Prerequisite: MAT 3770/MA 770
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