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Course Criteria
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4.00 Credits
Review of exact and heuristic methods for solving discrete problems, including the traveling salesman problem, the knapsack problem, packing and covering problems. Algorithm complexity and NP-completeness, cutting plane methods and polyhedral theory, branch and bound, simulated annealing, tabu search, Lagrangian duality. Prerequisites/Corequisites: Prerequisite: DSES 4770 (MATH 4700). When Offered: Spring term odd-numbered years. Cross Listed: Cross-listed as MATP 6620. Students cannot obtain credit for both this course and MATP 6620. Credit Hours: 4
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4.00 Credits
A unified development of linear systems and linear programming, polyhedral theory, the simplex method, interior point methods, decomposition methods for large scale linear programming problems, the ellipsoid method, column generation algorithms for stochastic programming and other problems. Prerequisites/Corequisites: Prerequisite: DSES 4770 (MATP 4700). When Offered: Spring term even-numbered years. Cross Listed: (Cross listed as MATP 6640. Students cannot obtain credit for both this course and MATP 6640.) Credit Hours: 4
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4.00 Credits
Convex sets and functions, optimality conditions in nonlinear programming, Lagrangian duality, quadratic programming algorithms for nonlinear programming including Newton's method, quasi-Newton methods, conjugate gradient methods, together with proofs of convergence. Prerequisites/Corequisites: Prerequisite: MATH 4200 or equivalent, or permission of instructor. When Offered: Fall term annually. Cross Listed: Cross-listed as MATP 6600. Students cannot obtain credit for both this course and MATP 6600. Credit Hours: 4
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3.00 Credits
Integration of the knowledge and professional practice of the Master's in IT core and concentration courses. Topics in database systems, networking, software design, human computer interaction, management of technology, and ethics are applied within a framework of global e-business strategy. The course utilizes a Team Project with a real organization to practice major IT concepts. Team members select, develop, and present a significant technology implementation project, incorporating strategy, systems development and business planning. When Offered: Spring term annually. Cross Listed: This course is cross-listed with ITEC 6800. Students cannot obtain credit for both this course and ITEC 6800. Credit Hours: 3
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3.00 Credits
A course on fundamentals of stochastic processes and queuing theory emphasizing applications. Poisson processes, renewal processes, Markov chains, general methods in the study of Markovian and non-Markovian systems, tandem queues, networks of queues, priority and bulk queues, computational methods and simulation. Focus of the course is the application of these tools in the performance evaluation and design of computer systems, communication networks, manufacturing systems, and service systems. Prerequisites/Corequisites: Prerequisite: ECSE 4500 or DSES 4750 (MATP 4600), or equivalent. When Offered: Spring term annually. Cross Listed: Cross-listed as ECSE 6820. Students cannot obtain credit for both this course and ECSE 6820. Credit Hours: 3
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3.00 Credits
A case-study approach introducing the systems method to analyze large-scale systems. Qualitative and quantitative study of the problems, from problem examination to problem definition, to problem solution, and to implementation. Case studies in manufacturing, transportation, community development, water resources, and criminal justice. Emphasis is on analysis of real-world problems using techniques of systems engineering and operations research and considering diverse factors such as economic, technical, sociological, and environmental issues. Prerequisites/Corequisites: Prerequisite: ECSE 4500. Corequisite: DSES 4770 (MATP 4700) or equivalent or permission of instructor. When Offered: Fall term odd-numbered years. Cross Listed: Cross-listed as ECSE 6830. Students cannot obtain credit for both this course and ECSE 6830. Credit Hours: 3
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3.00 Credits
Applications of operations research and systems analysis techniques to mathematical modeling of complex systems, especially large-scale public systems. Discussion of model-building approaches, emphasizing the role of creativity, rationality, and mathematics. Introduction of important quantitative techniques (e.g., geometrical probability, optimization theory, and stochastic processes) and their application to modeling emergency service systems, spatial distribution of public service facilities, congestion, land-use patterns, transportation systems, demographics, and energy. Prerequisites/Corequisites: Prerequisites: DSES 4770 (MATP 4700) and ECSE 4500 or equivalent; DSES 6830 (ECSE 6830) desirable. When Offered: Fall term even-numbered years. Cross Listed: Cross-listed as ECSE 6840. Students cannot obtain credit for both this course and ECSE 6840. Credit Hours: 3
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3.00 Credits
Evaluation provides structured information for policy-relevant decision making, based on a purposeful analysis of the identified measures. Topics include tests of hypotheses, randomization/control schemes, measures framework, measurement methods, and pertinent analytic techniques. Emphasis is on the application of evaluation methods (including systems engineering and operations research techniques) to issues arising in criminal justice, education, health, housing, transportation, welfare, automated information systems, and military programs. Prerequisites/Corequisites: Prerequisite: ECSE 4500 or DSES 4750 (MATP 4600) or equivalent. When Offered: Fall term odd-numbered years. Cross Listed: Cross-listed as ECSE 6860. Students cannot obtain credit for both this course and ECSE 6860. Credit Hours: 3
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3.00 Credits
Neural networks are program and memory at once, useful where traditional techniques fail, i.e., for artificial speech and image recognition. Emphasis on existing and emerging engineering applications. Parallel distributed processing, Hebb's rule, Hopfield net, back-propagation algorithm, perceptrons, unsupervised learning, Kohenen self-organizing map, genetic algorithms, neocognitron, adaline. Illustrated with computer programs and lectures. When Offered: Fall term odd-numbered years. Credit Hours: 3
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3.00 Credits
Consideration of multiple objectives under certain and uncertain conditions, the concept of the ideal, anti-ideal, and value tradeoffs, the decision-making process, measurement of attribute importance, linear multiobjective programming, goal programming, compromise programming, dealing with uncertainty. Prerequisites/Corequisites: Prerequisites: DSES 4770 (MATP 4700) or equivalent, and DSES 6110 or equivalent. When Offered: Spring term odd-numbered years. Credit Hours: 3
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