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Media & Education |
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M&E 610 - Media and Education Master’s Colloquium 1 credit(s) Every semester Critical examination of intersections between the fields of Media and Education at three distinct phases in students’ programs of study.
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M&E 611 - Proseminar in Media and Education 3 credit(s) Every semester Critical examination of the intersections of law, ethics and professionalism in the increasingly confluent fields of media and education.
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M&E 621 - Media and Education Practicum: Project Development 3 credit(s) At least 1x fall or spring Conceiving, structuring and planning media projects in students’ respective fields of educational practice. Students will participate in an interactive forum designed to foster discussion about creative and educational challenges arising from their work.
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M&E 622 - Media and Education Practicum: Production 3 credit(s) At least 1x fall or spring Production and post production of media projects in students’ respective fields of educational practice. Students will participate in an interactive forum designed to foster discussion about creative and educational challenges arising from their work.
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M&E 650 - Special Projects Seminar 2 credit(s) At least 1x fall or spring This flexible course format is designed to accommodate Media and Education project-based initiatives in a variety of educational areas of study.
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M&E 689 - Media & Education Capstone 3 credit(s) At least 1x fall or spring This advanced practice course is designed to provide M&E students the opportunity to cap their Master’s experience with a summative media and education project of their own design.
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Mechanical and Aerospace Engineering |
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MAE 510 - Nuclear Reactor Design, Operation and Safety 3 credit(s) Upon sufficient interest Crosslisted with: NUC 510 Principles of fission reactor analysis and design; reactor kinetics, operation and control; reactor thermo-fluid-dynamics; reactor safety; reactor accident case studies.
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MAE 536 - Composite Materials 3 credit(s) Even Academic Yr e.g. 2004-5 Design, analysis, and manufacturing of fiber-reinforced composite materials. Emphasis is on polymeric composites for general aerospace and automotive applications, and on ceramic matrix composites for hypersonic applications. PREREQ: ECS 325
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MAE 545 - Applications of Fluid Mechanics 3 credit(s) Upon sufficient interest Selected topics in applied fluid mechanics, to be determined by the instructor. Tools employed include control volume analysis, Bernoulli equation, exact and simplified solutions of the Navier-Stokes equations, and test correlations. PREREQ: MAE 341
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MAE 548 - Engineering Economics and Technology Valuation 3 credit(s) At least 1x fall or spring Crosslisted with: CIE 548 Value-based assessment and management of engineering/technology projects: equivalence; discounted cash flow; taxes/depreciation; financial statements. Risk-adjusted valuation: risk/uncertainty in staged projects; Monte Carlo simulations; decision trees; real options; project portfolio management. PREREQ: MAT 296
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MAE 551 - Energy Conversion 3 credit(s) Upon sufficient interest Crosslisted with: CIE 551 Energy demand and resources. Fundamentals of combustion. Power plants, refrigeration systems. Turbines and engines. Advanced systems. Direct energy conversion. Alternate energy sources. Energy storage. Costs and environmental impact. PREREQ: MAE 251
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MAE 552 - Building Environmental Measurements and Controls 3 credit(s) Crosslisted with: CIE 552 Fundamentals of building ventilating methods for measuring and controlling indoor environmental conditioning, thermal comfort, and indoor air quality. PREREQ: MAE 341 AND 355
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MAE 553 - HVAC Systems Analysis and Design 3 credit(s) Crosslisted with: CIE 553 Fundamentals of moist air properties, basic air conditioning processes, heat transfer in building structures, heating and cooling load calculations, and air distribution systems. PREREQ: MAE 251
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MAE 554 - Principles of Refrigeration 3 credit(s) Basic thermodynamic analysis of refrigeration cycles. Components selection. Environmental issues and recent developments in the refrigeration and the air conditioning industry. PREREQ: MAE 251
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MAE 571 - Applications of Computational Fluid Dynamics 3 credit(s) Upon sufficient interest Use of commercial Computational Fluid Dynamics (CFD) softwares to solve problems of practical interest. Modeling of fluid/thermal systems. Introduction to CFD algorithms. Simulation, evaluation, and interpretation of CFD results. PREREQ: MAE 341
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MAE 573 - Application of Finite Element Analysis 3 credit(s) Formulation of mechanics and heat transfer problems by finite element analysis. Application of the finite element method using commercial software in the static and dynamic analysis of mechanical components. PREREQ: ECS 325 AND MAT 331 AND 414
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MAE 585 - Principles of Turbomachines 3 credit(s) Upon sufficient interest Crosslisted with: AEE 685 , MEE 685 Fluid dynamics and thermodynamics of turbomachines. Performance characteristics and analysis of axial and radial turbomachines. Cascade theory. Radial equilibrium equation. Meridional flow analysis. Three dimensional flow characteristics of turbomachines. PREREQ: MAE 251 AND 341
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MAE 587 - Design of Solar Energy System 3 credit(s) Irregularly Fundamentals of solar radiation, collectors and storage. Design of solar space heating, cooling; water heating systems. Study of solar electric systems. Economics of solar design; application to heat pumps, energy conservation techniques. PREREQ: MAE 251
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MAE 588 - Principles of Wind Turbines 3 credit(s) Upon sufficient interest Crosslisted with: CIE 588 , ECS 588 Aerodynamics, performance, control, and electrical aspects wind turbines. PREREQ: MAE 341
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MAE 615 - Instrumentation 3 credit(s) Irregularly Basic theory of electronics, modulation, recording, and measurement combined with basic fundamentals in mechanical engineering, such as acoustics, vibration, heat transfer, stain, and turbulence.
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MAE 621 - Failure Analysis of Composite Materials 3 credit(s) Upon sufficient interest Review of mechanical behavior of composites. Failure predictions for composites based on macroscopic mechanisms. Fatigue and fracture. Damage, delamination and debond growth. Residual strength and life predictions. Damage tolerance and nondestructive inspection.
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MAE 625 - Fracture Mechanics 3 credit(s) Upon sufficient interest Introduction to basic elements: elastic and elastic-plastic crack tip stress and strain fields, stress intensity factor, crack extension form, J integral, fracture toughness, fatigue crack growth, and the applications of fracture mechanics.
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MAE 626 - Vibration of Mechanical Systems 3 credit(s) Upon sufficient interest Fundamental physical and mathematical aspects of vibration phenomena in linear systems. Theory of transients, eigenvalue problems, vibration isolation and measurement techniques.
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MAE 627 - Advanced Helicopter Dynamics 3 credit(s) Irregularly Mathematics of rotating systems, rotary wing dynamics, and calculation of aerodynamic forces both in rotating and fixed frames.
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MAE 630 - Advanced Practical Optimization 3 credit(s) At least 1x fall or spring Advanced theory and application of numerical optimization. Topics may include: Unconstrained/constrained linear and nonlinear problems; multiobjective, discrete and global optimization; optimization under uncertainty; evolutionary optimization. Knowledge of Linear Algebra and Ordinary Differential Equations required. Matlab used.
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MAE 635 - Advanced Mechanics of Materials 3 credit(s) Upon sufficient interest Stress analysis. Beam-column analysis by series and variational techniques, beams on elastic foundation, torsion with restrained warping, deflections due to transverse shear, introductory problems in plates and shells. PREREQ: ECS 325
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MAE 643 - Fluid Dynamics 3 credit(s) At least 1x fall or spring Crosslisted with: CEN 643 Review of undergraduate fluids; kinematics, vorticity; dynamics, stresses, Euler and Navier-Stokes equations; energy, Bernoulli’s equation; potential flows; Stokes flows; boundary layers; flow separation; other applications. PREREQ: MAE 341 OR CEN 333
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MAE 644 - Applied Fluid Dynamics 3 credit(s) Upon sufficient interest Fundamental flow phenomena encountered in practical engineering situations. Topics may include: flow separation, turbulent mixing, bluffbody aerodynamics, three dimensional flow, flow control, high-lift devices, cavitation, fan stall, flow-structure interaction. PREREQ: MAE 643
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MAE 645 - Fluid Dynamics Measurements 3 credit(s) Upon sufficient interest Measurement of pressure, density, and velocity in low- and high-speed flows. Hot wire anemometry and laser Doppler anemometry. Flow visualizations and image analysis. Digital data acquisition and time series analysis. Uncertainty estimation. Lecture and laboratory sessions.
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MAE 647 - Gas Dynamics 3 credit(s) Irregularly Equations of motion for compressible perfect fluids. Crocco’s equation. Wave equation. Acoustic speed. Unsteady flows. Shock formation. Normal and oblique shocks. Prandtl-Meyer expansion. Wave interactions. Method of characteristics. Supersonic diffuser, nozzle jet flows.
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MAE 648 - Biofluid Dynamics 3 credit(s) Upon sufficient interest Crosslisted with: BEN 648 Principles of momentum transfer in bioengineering systems. Flight and swimming in nature including flagellar propulsion. Newtonian and non-Newtonian fluid phenomena, including low-Reynolds-number flow, pulsatile and separated flows. Flow past bifurcations. Respiratory and blood circulatory flows.
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MAE 651 - Advanced Thermodynamics 3 credit(s) Upon sufficient interest Review of thermodynamic laws and macroscopic coordinates of general systems. Reversibility, equilibrium and exergy. Introduction to statistical thermodynamics. PREREQ: MAE 251
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MAE 655 - Advanced Heat Transfer 3 credit(s) Irregularly Theory and application of heat transfer by conduction and radiation for both steady and unsteady state conditions. Mathematical, graphical, and numerical methods of solution.
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MAE 657 - Convective Heat and Mass Transfer 3 credit(s) Upon sufficient interest Fluid properties and transport equations. Introduction to turbulent transport. Laminar and turbulent heat transfer in internal and external flows. Free convection. Heat transfer in high-speed flow. Convective mass transfer. Special topics. PREREQ: MAE 643
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MAE 658 - Bulding Environmental Modeling and Simulations 3 credit(s) At least 1x fall or spring Crosslisted with: CIE 648 Building environmental analysis; contaminant source and sink models; single-zone, multizone, and computational fluid dynamics models. PREREQ: MAE 341 AND MAE 355
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MAE 659 - Building Materials and Envelope 3 credit(s) At least 1x fall or spring Crosslisted with: CIE 649 Understanding of heat, air and moisture transfer effects on building envelope/enclosure through linking material properties, assembly design and hygorthermal performance with structural and mechanical considerations. Introduction to advanced computational tools for building enclosures.
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MAE 671 - Numerical Methods in Mechanical Engineering 3 credit(s) Upon sufficient interest Derivation and use of numerical methods for polynomial approximation, extraction of roots, evaluation of determinants, eigenvectors and eigenvalues, orthogonal transformations, angles of orthogonal transformation, robotics, differential equations, mechanism analysis, Fourier representation.
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MAE 675 - Methods of Analysis in Mechanical Engineering 3 credit(s) Upon sufficient interest Methods of analyzing linear mechanical systems based on theorems in linear algebra, tensor calculus, and linear differential equations. Vector spaces, linear transformations, tensor fields, and eigenvalue problems.
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MAE 683 - Applied Environmental Acoustics and Noise Control 3 credit(s) At least 1x fall or spring Double Numbered with: MAE 483 Introductory to environmental acoustics, sound propagation, psychoacoustics, noise criteria for design, noise sources, absorption, noise isolation, design of critical spaces, sound measurement, vibration isolation, product noise ratings, sound quality.
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MAE 721 - Theory of Elasticity 3 credit(s) Upon sufficient interest General theorems governing the mechanics of linear elastic solids. Cartesian tensor analysis. Kinematics of infinitesimal deformations and force transmission. Balance principles and linear elastic constitutive theory. Plane and three- dimensional problems in elastostatics and elastodynamics.
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MAE 723 - Asymptotic Methods for Engineering Applications 3 credit(s) Irregularly Introduction including problems in vibrations and fluid mechanics. Regular and singular perturbations; asymptotic matching. Boundary value problems; distinguished limits. Multiple scale expansions, WKB theory.
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MAE 731 - Bending of Plates and Shells I 3 credit(s) Upon sufficient interest Small-deflection theory of plates. Analysis of variously shaped plates under various loading and support conditions. Membrane theory of shells. Bending theory of cylindrical shells. PREREQ: MAE 635
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MAE 735 - Buckling Problems 3 credit(s) Physical and mathematical aspects of buckling. Analysis of elastic buckling phenomena for columns, beams, arches, rings, plates, and shells under various loading and support conditions. Buckling due to thermal stress, inelastic buckling, creep buckling. PREREQ: MAE 635
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MAE 741 - Fundamentals of Turbulence 3 credit(s) Upon sufficient interest Qualitative description, main parameters and scaling variables; similarity analysis of mixing layers, jet boundary layers, pipe flows; extension to transport and mixing with emphasis on K-E models. PREREQ: MAE 643
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MAE 746 - Viscous Fluids 3 credit(s) Upon sufficient interest Exact solutions of Navier-Stokes equations. Low Reynolds-number flows. Hydrodynamic theory of lubrication. Boundary-layer equations, exact and approximate methods of solution. Compressible viscous flows. PREREQ: MAE 643
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MAE 765 - Combustion Phenomena in Engineering 3 credit(s) Irregularly Reacting gases-equilibrium composition and kinetics. Kinetically and diffusionally controlled combustion. Ignition. Flames in premixed gases. Laminar flame speed. Turbulent flames. Detonation Diffusion flames. Applications to combustion equipment. PREREQ: MAE 651
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MAE 771 - Computational Fluid Mechanics 3 credit(s) Upon sufficient interest Numerical solutions using finite difference methods and other techniques. Principles of approximations; accuracy considerations. Applications including boundary-layer and potential flow solutions.
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MAE 785 - Continuum Mechanics 3 credit(s) Irregularly Foundations of the mechanics of deformable bodies. Elements of tensor calculus. Kinematics of deformation and transmission of force. Balance principles. Theory of constitutive equations and an introduction to hyperelastic solids and Stokesian fluids.
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MAE 849 - Advanced Topics in Fluid Mechanics 3 credit(s) Irregularly Topics dealing with fluid flow, such as theories of turbulence, jets, wakes, cavities, magnetohydrodynamics. Repeatable 1 time(s), 6 credits maximum
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MAE 879 - Advanced Topics in Mechanical Design 3 credit(s) Irregularly Selected topics dealing with problems in mechanical design, such as theory of lubrication and bearings, balancing problems, high-speed mechanisms. Repeatable 1 time(s), 6 credits maximum
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MAE 889 - Selected Topics 3 credit(s) Irregularly Selected topics dealing with the theory and design of steam and gas turbines, centrifugal and axial flow compressors. Repeatable 1 time(s), 6 credits maximum
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MAE 990 - Independent Study 1-6 credit(s) Every semester In-depth exploration of a problem or problems. Individual independent study upon a plan submitted by the student. Admission by consent of supervising instructor or instructors and the department. Repeatable
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MAE 994 - Capstone Project 0 credit(s) Review technical papers or reports in the open literature related to student’s field of interest. Students prepare oral presentation to the faculty summarizing the technical content of the document.
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MAE 995 - Graduate Seminar 0 credit(s) Every semester Crosslisted with: AEE 995
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MAE 997 - Master’s Thesis 1-9 credit(s) Every semester Repeatable
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MAE 999 - Dissertation 1-15 credit(s) Every semester Repeatable
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Magazine |
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MAG 500 - Selected Topics 1-3 credit(s) Irregularly Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester. Repeatable
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MAG 518 - Critical Writing 3 credit(s) At least 1x fall or spring Criticism and its function in journalism. Reviewing books, plays, motion pictures, and other art forms. PREREQ: (NEW 205 AND MAG 205) OR MNO 617
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MAG 529 - Writing and Editing for Magazine Websites 3 credit(s) At least 1x fall or spring Everything you need to know to join a magazine-branded website’s staff: eye-catching copy, clickable headlines, site design, custom-edit projects, interactive tools, video and blogs, plus search engine optimization, social media engagement, and audience tracking. PREREQ: MAG 406 OR 408 OR MNO 617
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MAG 538 - Travel Writing 3 credit(s) At least 1x fall or spring Writing and selling magazine articles about traveling and specific geographic areas. Students will write in a variety of styles, especially exploring the narrative form. PREREQ: NEW 305 OR MNO 617
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Marketing Management |
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MAR 655 - Customer Relationship Management with Systems Applications and Products 3 credit(s) Crosslisted with: MIS 655 , SCM 655 Integration of marketing, supply-chain and technology management aspects of customer relationship management. Operational, analytical and collaborative processes supported by SAP’s integrated software. Actual use of SAP software, including Business Data Warehouse, with best-practice processes.
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MAR 721 - Marketing and the Internet 3 credit(s) At least 1x fall or spring The course focuses on how traditional marketing approaches have to be modified to take advantage of the reach and capabilities of the internet, from understanding customer needs to after sales customer services. PREREQ: (MBC 603 , MBC 604 ) OR MBC 636
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MAR 741 - Marketing Community and Public Service Agencies 3 credit(s) Irregularly Design, implementation, and control of marketing programs for community and public service agencies: performing arts, health care, urban planning, police, educational, scientific, and technical organizations
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MAR 745 - Strategic Brand Management 3 credit(s) At least 1x fall or spring Concepts and tools acquired from various marketing courses to develop analytical and decision-making skills for planning and implementing a marketing strategy from the brand manager’s point of view. PREREQ: MBC 604 OR MBC 636
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MAR 751 - Environmental Influences on Innovation 3 credit(s) Irregularly Major environmental forces that shape innovation policy from a technology, market, international, economic, social, and political-legal perspective. Managerial response to environmental forces. PREREQ: MBC 636
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MAR 752 - Introduction to Innovation Management 3 credit(s) At least 1x fall or spring The process of converting ideas, technology, and customer needs into new products, services, and processes. Environmental and organizational influences on the innovation process. PREREQ: MBC 636
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MAR 753 - Marketing Channel Management 3 credit(s) Irregularly Marketing channels as both economic and social systems. Channel change and evolution, channel membership, structural and functional relationships, interorganizational behavior, and channel information management. PREREQ: MBC 636
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MAR 754 - Seminar in Marketing Research 3 credit(s) At least 1x fall or spring Collection, analysis, and interpretation of data. Problem definition, questionnaire design, attitude measurement, data analysis, and demand forecasting. For those interested in conducting marketing research or using research information for marketing decision making. PREREQ: MBC 636 , MBC 638
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MAR 755 - Marketing Communications Strategy 3 credit(s) At least 1x fall or spring Managerial aspects. Determination of promotional budgets, planning and building promotional effectiveness, scheduling and monitoring promotional impact. PREREQ: MBC 636
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MAR 756 - Market Measurement and Analysis 3 credit(s) Irregularly Application of analytical and quantitative techniques to market measurement. Product-market strategy. PREREQ: MBC 636 AND MBC 638
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MAR 757 - Managing Innovative Products and New Ventures 3 credit(s) At least 1x fall or spring Problems in developing new products and new corporate ventures. Designing innovation strategies, risk taking, technology planning, evaluation of new product proposals, and managing the innovation team. PREREQ: MBC 636
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MAR 759 - Seminar in Marketing 3 credit(s) Irregularly Selected topics in marketing. Current issues and problems in marketing. PREREQ: MBC 636
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MAR 761 - Marketing Strategies for Innovations 3 credit(s) At least 1x fall or spring Commercializing new products, services, and technologies. Introduction and diffusion of innovations, market planning, product strategy design, and marketing decision making. PREREQ: MBC 636
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MAR 777 - Global Supply Chain Strategy 3 credit(s) At least 1x fall or spring Crosslisted with: SCM 777 Topics include: design of global facility networks, containerization and logistical planning across borders, benefits and risks of outsourcing and offshoring while integrating financial and accounting-related matters such as exchange rates, duties, drawbacks and tax differentials. PREREQ: MBC 616 , MBC 638
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MAR 930 - Seminar in Marketing Theory 3 credit(s) Irregularly Current marketing theory as developed by contemporary writers. PREREQ: MBC 636 Repeatable
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MAR 960 - Doctoral Seminar in Marketing 3 credit(s) Irregularly Repeatable
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MAR 962 - Marketing and Supply Chain Models 3 credit(s) Irregularly Crosslisted with: SCM 962 Statistical/econometric and management science modeling approaches to marketing/supply chain management problem solving.
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Managerial Statistics |
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MAS 653 - Accelerated Managerial Statistics 3 credit(s) Irregularly Survey of statistics for managerial decision making. Applications and problem identification. Descriptive statistics, probability, sampling, estimation, hypothesis testing, time-series analysis, simple and multiple regression, and statistical decision theory.
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MAS 723 - Nonparametric Statistics 3 credit(s) Irregularly Statistical methods that make no assumptions about the probability distribution sampled. Methods based on signs, ranks, and order statistics, related aspects of probability theory, statistical inference, special procedures, and case examples. PREREQ: MBC 638 OR MAS 653
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MAS 765 - Sample Survey Methods and Theory 3 credit(s) Irregularly Simple random, stratified, systematic, cluster, and multistage sampling methods. Cost and precision. Methods of estimation; simple, unbiased, ratio, regression, and composite methods of measuring and controlling nonsampling errors. PREREQ: MBC 638
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MAS 766 - Linear Statistical Models I: Regression Models 3 credit(s) At least 1x fall or spring General regression model, estimation methods, general linear hypothesis tests, residual analysis, indicator variables, multicollinearity, autoregressive model, weighted least squares, variable-screening procedures.
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MAS 767 - Linear Statistical Models II: Variance 3 credit(s) Irregularly Single and multiclassification analysis of variance for fixed, random, and mixed effects models, simultaneous estimation method implementation of ANOVA models, analysis of covariance. PREREQ: MAS 766
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MAS 777 - Time Series Modeling and Analysis 3 credit(s) At least 1x fall or spring Fundamental concepts and procedures for forecasting discrete time series for planning and control. Regression analysis, ARIMA methods, econometric modeling, transfer functions, intervention analysis, Kalman filters, univariate and multivariate methods. PREREQ: MBC 638
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MAS 788 - Causal Modeling and Analysis 3 credit(s) Irregularly Multivariate Statistical techniques and analysis strategies for formulating and testing causal models using both experimental and nonexperimental data sources Path analysis, correlation and causality, sources of estimation-bias interpretation and limitations simultaneous equation models, confirmator, factor analysis, measurement error and latent variable models, and structural equatrons. PREREQ: MBC 638
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Mathematics |
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MAT 511 - Advanced Calculus 3 credit(s) At least 1x fall or spring Partial derivatives, implicit functions, integration in several variables, line and surface integrals. PREREQ: (MAT 331 AND 397) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 512 - Introduction to Real Analysis II 3 credit(s) At least 1x fall or spring Real-number system, set theory and elementary topological properties of the real line, continuity and differentiability, sequences and series, uniform convergence, Riemann integration, and improper integrals. PREREQ: MAT 412 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 513 - Introduction to Complex Analysis 3 credit(s) At least 1x fall or spring Complex number system and its arithmetic, geometric representation. Linear transformations. Analytic functions and the Cauchy-Riemann equations. Integration and Cauchy’s theorem, Taylor and Laurent series, singularities, poles, and residues. Applications. PREREQ: MAT 412 OR MAT 511 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 517 - Partial Differential Equations and Fourier Series 3 credit(s) At least 1x fall or spring Partial differential equations, boundary-value problems, Fourier series and orthogonal expansions, Bessel functions, and Legendre polynomials. PREREQ: MAT 485 OR 414 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 518 - Fourier Series, Transforms and Wavelets 3 credit(s) At least 1x fall or spring Orthogonal functions, Fourier series, Fourier transforms-continuous and discrete, Haar wavelets and multiresolution analysis, applications to signal processing. PREREQ: MAT 414 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 521 - Introduction to Probability 3 credit(s) Every semester Algebra of sets. Probability in finite sample spaces. Binomial and multinomial coefficients. Random variables. Expected value and standard deviation. Density functions. Statistical applications. PREREQ: MAT 397 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 525 - Mathematical Statistics 3 credit(s) At least 1x fall or spring Estimation and confidence intervals. Normal distribution and central limit theorem. Testing hypotheses, chi-square, t, and F distributions. Least squares, regression, and correlation. PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 526 - Introduction to Stochastic Processes 3 credit(s) At least 1x fall or spring Discrete time Markov chains, Poisson process, continuous time Markov chains and other selected stochastic processes. PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 531 - Second Course in Linear Algebra 3 credit(s) At least 1x fall or spring Abstract vector spaces and inner product spaces, linear transformations and linear operators, eigenvalues and diagonalization. Primarily for mathematics majors. PREREQ: ((MAT 375 OR CIS 275) AND MAT 331) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 532 - Applied Linear Algebra 3 credit(s) Upon sufficient interest Factorization of matrices, eigenvalues and eigenvectors, orthogonality. Applications of matrices to such topics as least-squares approximation, fast Fourier transform, difference and differential equations, linear programming, networks, game theory. PREREQ: MAT 331 OR 485 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 534 - Introduction to Abstract Algebra 3 credit(s) At least 1x fall or spring Theory of groups, rings, and fields, including the integers and polynomail rings. PREREQ: MAT 531 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 541 - Introduction to Number Theory 3 credit(s) Irregularly Prime numbers, greatest common divisors, congruences. Euler’s function, Fermat’s theorem, primitive roots, indices, quadratic residues, Legendre and Jacobi symbols, and the quadratic reciprocity law. PREREQ: ((MAT 375 OR CIS 275) AND MAT 331) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 545 - Introduction to Combinatorics 3 credit(s) At least 1x fall or spring Crosslisted with: CIS 545 Permutations, combinations, recurrence relations, generating functions, inclusion-exclusion and applications, introductory graph theory. PREREQ: MAT 375 OR CIS 275 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 551 - Fundamental Concepts of Geometry 3 credit(s) Irregularly Synthetic projective geometries. Coordinate systems for projective spaces. Algebraic representation of projective transformations; euclidean, non-euclidean, and affine geometries as real cases of projective geometry. PREREQ: ((MAT 375 OR CIS 275) AND MAT 331) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 554 - Differential Geometry 3 credit(s) Irregularly Theory of curves in three-dimensional space, including Frenet’s formula, Gaussian and mean curvature, geodesics, developable surfaces, special conformal mappings. PREREQ: MAT 412 OR MAT 511 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 562 - Elementary Topology 3 credit(s) Irregularly Metrics and metric spaces, topologies and topological spaces, separation properties, compactness, connectedness, and continuity. PREREQ: ((MAT 375 OR CIS 275) AND MAT 512 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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