Graduate Level 500 Courses
Advanced Engineering Mathematics
Prerequisite: EGR 301 or equivalent
Ordinary differential equations: power series solutions; solutions to Legendre, Bessel, Hermite, associated Legendre, and Mathieu equations. Partial differential equations: separation of variables; transform methods; eigenvalues; Greens function; solutions to elliptic, parabolic and hyperbolic equations.
Applied Numerical Methods
Prerequisite: EGR 301 or equivalent
Introduction to the tools of numerical analysis used in all areas of engineering study. Solution of linear systems and nonlinear systems of equations. Numerical integration of functions ODEs and PDEs: differentiation, error control, stability and accuracy. Extensive programming in C is required.
Continuum Mechanics
Prerequisites: EGR 301 and MNE 252 or equivalents
Comprehensive study of the fundamental principles of Continuum Mechanics. The following topics are covered: stress, strain, and strain rated tensors; Lagrangian and Eulerian descriptions; conservation laws; constitutive relations; Navier-Cauchy and Navier Stokes equations; Newtonian fluids.
Advanced Mechanics of Fluids
Prerequisite: MNE 332 or equivalent
Integral Transformation: Divergence Theorem; Stokes Theorem. Reynolds Transport Theorem. Navier-Stokes equations. Kelvins theorem. Vorticity Transport. Croccos Theorem. Viscous flow: boundary layers, buoyancy-driven flows.
Theory of Elasticity
Basic field equations. Generalized Hookes law. General concepts of stress and strain. Equilibrium equations. Plane problems. Stress functions. Saint Venant torsion and flexure. Introduction to three-dimensional problems. Thermoelasticity. Anisotropic solutions.
Plasticity and Metal Forming Theory
Prerequisite: MNE 503 or equivalent
Tresca and von Mises yield criteria and their associated flow rules. Slip-line field theory and Geiringer velocity equations. Upper bound and lower bound theories. Application of the plasticity theories to rigid, perfectly-plastic bodies undergoing large plastic deformation in various metal forming processes such as wire drawing, extrusion, forging, deep drawing, etc.
Theory of Plates and Shells
Prerequisite: EGR 242
Pre or corequisite: MNE 503
Basic plate and shell equations; solutions of different shape plates. Application of cylindrical and spherical shell equations. Linear and non-linear situations. Plates on elastic foundations. Numerical solutions of plates and shells. Membrane theory.
Finite Element Analysis
Prerequisite: MNE 485 or equivalent
Broad study of the principles of Finite Element Analysis. The following topics are covered: energy methods; variational principles; element formulation; coordinate transformation; problems in dynamics, solids, and heat transfer; non-linear problems; numerical errors and convergence; computer modeling.
Advanced Physical Metallurgy
Prerequisites: EGR 231, EGR 221 or equivalents
Extending understanding of the effect of structure on the properties of metals and alloys. Deviation in various forms from perfect crystallinity will be analyzed. Metallurgical processes of typical ferrous and nonferrous alloys will be explored.
Metal Casting Principles
Advanced concepts in solidification of alloys. Mutually dependent topics are: flow of liquid metals, transient heat transfer, phase and state change. Consequence of these in the design of sound castings will be presented.
Classical Thermodynamics
Prerequisite: EGR 232 or equivalent
In-depth study of the fundamental principles of classical thermodynamics. The following topics are covered: equilibrium; temperature; equations of state; fundamental equations; First Law for steady, unsteady and continuous systems; Born-Caratheodory formulation of the Second Law; Third Law.
Statistical Thermodynamics
Prerequisite: EGR 232 or equivalent
Principles of thermodynamics based on a microscopic approach. The following topics are covered: statistical concepts, Kinetic Theory, Gibbsian ensembles, partition function, Liouvilles theorem, Boltzmann equation and the Chapman-Enskog solution, calculation of equilibrium and transport properties.
Bioengineering Fundamentals
Applications of thermodynamics, fluid mechanics, and transport study to biological systems. An introduction to chemical kinetics, intercellular interactions, and basic biomechanics is also included. Emphasis is on engineering with relevance to clinical and research medical applications.
Simulation Modeling
Prerequisites: CIS 115, EGR 301 or equivalents
Fundamentals of building and analyzing computer simulation models in manufacturing and other systems. The course covers basic concepts in selection and formulation of systems for computer simulation, using simulation software to build simulation models, and employing statistical techniques to interpret outputs of simulation models. Students will work in teams to define and analyze practical cases.
Advanced Dynamics
Prerequisites: EGR 242, EGR 301 or equivalents
Course of study of technologically useful topics from dynamics, such as: three dimensional motion of rigid bodies; dynamics of flexible rotors and linkages; balancing of machinery and non-linear forces and stability. Variational methods and numerical techniques will be introduced.
Advanced Robotics
Prerequisite: MNE 482 or equivalent
Advanced course in kinematics, dynamics and control of robots. Topics covered include: trajectory generation, position and force control of open chain and closed chain manipulators, kinematic redundancy, link flexibility, artificial intelligence and integration of industrial robots in integrated manufacturing systems.
Manufacturing Automation
Prerequisite: MNE 345 or equivalent
Study of the different components of an automated manufacturing system. Design of the hardware and software used in the different manufacturing systems. Analysis, modeling, performance and economics of flexible manufacturing systems and flexible manufacturing cells. Design of parts to facilitate automatic assembly.
Advanced Vibrations
Prerequisites: EGR 242, EGR 301
Vibration of structures and machine components, free and forced vibrations, damped vibrations, normal modes, critical speeds, non-linear systems techniques, phase plane and function description methods.
Advanced Statistical Control Theory
Prerequisite: EGR 301
Statistical principles and methods in statistical process control and quality improvement, which include sampling and descriptive statistics, distributions, point and interval estimations, statistical hypothesis testing; basic and advanced methods in statistical process control (SPC) and process capability analysis which covers Shewhart control chart for variables and attributes, process control chart for short runs, Cusum and EWMA charts, multivariate process monitoring and control.
Advanced Control Theory
Prerequisite: MNE 466 or equivalent
Advanced course in design of control systems. Topics covered include: input-output and state space description; controlability and observability of multi-input multi-output systems; pole placement; observer design and separation principle; linear quadratic optimal control; non-linear systems and linearization; Lyapunov stability theory; application to electromechnical systems.
Manufacturing Systems Design
Prerequisite: MNE 345 or equivalent
Advanced topics in manufacturing systems design and analysis with emphasis on modeling and integration methodologies. Specific topics include production flow analysis, group technology, manufacturing cell design, facilities location and work design, material handling systems and automated guided vehicles, flexible manufacturing systems, and systems evaluation. Term design projects are required using computer and software tools.
Manufacturing Planning and Control
Prerequisite: EGR 301 or equivalent
Advanced topics in manufacturing production planning and control with emphasis on design and resource utilization. Specific topics include operations planning and control, linear programming, capacity planning, resource material planning, inventory control, project scheduling, and manufacturing cost analysis. Term design projects are required using computer and software tools.
Engineering Optimization
Prerequisite: EGR 301 or equivalent
Advanced topics in engineering optimization with emphasis on the algorithm and applications. Specific topics include linear and nonlinear optimization, mathematical modeling, constrained optimality criteria, transformation methods, constrained direct search, quadratic approximation methods for constrained problems, and comparison of constrained optimization methods. Term design projects are required using computer and software tools.
Advanced Simulation Modeling
Prerequisites: MNE 530 and good knowledge of a computer programming language
Verification, validation, and statistical analysis of the inputs and outputs of simulation models. Topics include determination of the simulation run lengths, building and analyzing confidence intervals, variance reduction techniques, comparison of systems performance, experimental designs and simulation optimization.
Convective Heat Transfer
Prerequisite: MNE 411 or equivalent
Boundary layer flow problems: laminar and turbulent plows. Thermal boundary layer plows. Dimensional analysis. Forced convection problems. Free convection problems. Duct flows. Boiling and Condensation. Special convection problems. Heat Exchange Design. Applications.
Compressible Fluid Flow
Prerequisite: MNE 431 or equivalent
Conservation laws. Wave propagation in compressible media. Isentropic flow. Normal and oblique shock waves. Prandt-Meyer flow. Converging-diverging nozzles and supersonic diffuses. Supersonic oblique shock diffuses. Exit flow for underexpanded and overexpanded supersonic nozzles. Fanne line flow. Rayleigh line flow.
Computational Fluid Mechanics
Prerequisite: MNE 504
Solutions to Navier-Stokes equations. Finite difference methods: Lax-Wendroff, MacCormack, Rusanov, implicit, forward-time and centered-method, leap-frog/ Dufort-Frankel, ADI, predictor-corrector methods. Grid generation. Accuracy and convergence.
Methods of Experimental Research
Prerequisite: Graduate standing
Need and subject matter of research. Laws, truths, analogy and hypothesis. Identifying and clustering parameters. Use of models. Experimental setup. Induction, deduction, statistics, and conclusions. Presentation and use of finding
Reading and Research
Prerequisite: Graduate standing and approval of students graduate committee
Independent study under faculty supervision. Intensive literature search culminating in a technical report. Oral presentation at the option of the faculty.
Masters Thesis
Prerequisites: Graduate standing, Thesis Option, and approval of the students Graduate Committee
Thesis research on an experimental or theoretical project in mechanical engineering under a faculty advisor. A formal thesis must be submitted to fulfill the course requirements.
Masters Project
Prerequisites: Graduate standing, Project Option, and approval of the students Graduate Committee Project research in conjunction with industry under a faculty advisor.
A formal report must be submitted to fulfill the course requirements.
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