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Course Descriptions

*Course Profiles contain information about the course, including prerequisites, course topics, objectives and outcomes.

**Undergraduates only

200-300 Level    400 Level-Undergraduate    400 Level-Graduate
500 Level    600 Level

211 Introduction to Solid Mechanics
Prerequisites: Physics 140, Math 116. (4).
Statics: moment and force resultants, equilibrium. Mechanics of deformable bodies: stress/strain, classification of material behavior, generalized Hooke's law. Engineering applications: axial loads, torsion of circular rods and tubes, bending and shear stresses in beams, deflection of beams, combined stresses, stress and strain transformation. Four lecture classes per week.

235 Thermodynamics
Prerequisites: Chem 130, 125 or Chem 210, 211 and Math 116. (4).
Introduction to engineering thermodynamics. First law, second law, system and control volume analyses; properties and behavior of pure substances; application to thermodynamic systems operating in a steady state and transient processes. Heat transfer mechanisms. Typical power producing cycles and refrigerators. Ideal gas mixtures and moist air applications.

240 Introduction to Dynamics and Vibrations
Prerequisites: Physics 140, preceded or accompanied by Math 216. (4).
Vector description of force, position, velocity and acceleration in fixed and moving reference frames. Kinetics of particles, of assemblies of particles and of rigid bodies. Energy and momentum concepts. Euler's equations. Moment of inertia properties. The simple oscillator and its applications.

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250 Design and Manufacturing I
Prerequisites: Math 116, Eng 101 or equivalent. (4).
Basics of mechanical design: visual thinking, engineering drawing, and machine anatomy. Basics of manufacturing: processes, materials, and thermofluid aspects. Use of computers in various phases of design and manufacturing. Exposure to CAD systems and basic machine shop techniques. Design/manufacturing project. Three hours lecture and two hours laboratory.

305 Introduction to Finite Elements in Mechanical Engineering
Prerequisites: ME 311. (3).
Rod element stiffness matrix. The assembly process. Solution techniques, gaussian elimination. Truss examples. Beam elements. Frame examples. Plate bending. Heat conduction. Triangular and quadrilateral elements. The Isoparametric formulation. Plane stress applications. The course is project oriented with a substantial design content. A commercial finite element package is used extensively.

311 Strength of Materials
Prerequisites: ME 211, Math 216. (3).
Energy methods; buckling of columns, including approximate methods; bending of beams of asymmetrical cross-section; shear center and torsion of thin-walled sections; membrane stresses in axisymmetric shells; elastic-plastic bending and torsion; axisymmetric bending of circular plates.

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320 Fluid Mechanics I
Prerequisites: Math 215, ME 235, and ME 240. (3).
Fluid statics; conservation of mass, momentum, and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; differential analysis of fluid flow; dimensional analysis and similitude; laminar and turbulent flow; boundry layers; lift and drag; introduction to commercial CFD packages; applications to mechanical, biological, environmental, and micro-fluidic systems.

335 Heat Transfer
Prerequisites: ME 320. (3).
Heat transfer by conduction, convection, radiation; heat storage; energy conservation; steady-state/transient conduction heat transfer; thermal circuit modeling; multidimensional conduction; surface radiation properties, enclosure radiation exchange; surface convection/fluid streams over objects, nondimensional numbers, laminar, turbulent, thermobuoyant flow, boiling and condensation; heat exchangers; design of thermal systems, solvers for problem solving/design.

336 Thermodynamics II
Prerequisites: ME 235. (3).
Thermodynamic power and refrigeration systems; availability and evaluation of thermodynamic properties; general thermodynamic relations, equations of state, and compressibility factors; chemical reactions; combustion; gaseous dissociation; phase equilibrium. Design and optimization of thermal systems.

350 Design and Manufacturing II
Prerequisites: ME 211, ME 240, ME 250, preceded or accompanied by ME 382. (4).
Principles of mechanical design and manufacturing. Analysis, synthesis and selection of mechanisms, machine components and associated manufacturing processes. Design projects. Three hour lecture and one two-hour lab.

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360 Modeling, Analysis and Control of Dynamic Systems
Prerequisites: ME 240, preceded or accompanied by EECS 314. (4).
Developing mathematical models of dynamic systems, including mechanical, electrical, electromechanical, and fluid/thermal systems, and representing these models in transfer function and state space form. Analysis of dynamic system models, including time and frequency responses. Introduction to linear feedback control techniques. Synthesis and analysis by analytical and computer methods. Four hours of lecture per week.

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382 Mechanical Behavior of Materials
Prerequisites: ME 211. (4).
Material microstructures, dislocations and defects; processing and mechanical properties of metals, polymers, and composites; heat treatment of metals; elastic, plastic, and viscoelastic behavior of materials, strain hardening; fracture, fracture mechanics, fatigue and multiaxis loading; creep and stress relaxation; materials-related design issues, materials selection, corrosion and environmental degradation of materials.

395 Laboratory I
Prerequisites: Physics 240, 241; ME 211, ME 235, and ME 240; preceded or accompanied by ME 320, and ME 382. (4).
Weekly lectures and experiments designed to introduce the student to the basics of experimentation, instrumentation, data collection and analysis, error analysis, and reporting. Topics will include fluid mechanics, thermodynamics, mechancis, materials, and dynamical systems. Emphasis is placed on report writing and team-building skills.

400 Mechanical Engineering Analysis
Prerequisites: ME 211, ME 240, and Math 216. (3).
Exact and approximate techniques for the analysis of problems in Mechanical Engineering including structures, vibrations, control systems, fluids, and design. Emphasis is on application.

401 (Mfg 402) Statistical Methods for Manufacturing Systems
Prerequisites: Senior or graduate standing. (3).
Evolution of quality methods. Fundamentals of statistics. Process behavior over time. Concept of statistical process control (SPC). Design and interpretation of control charts. Process capability study. Tolerance. Measurement system analysis. Correlation. Regression analysis. Independent t-test and paired t-test. Design and analysis of two-level factorial experiments. Fractional factorial experiments. Response model building. Taguchi methods. Case studies.

403 Instrumentation
Prerequisites: ME 395 or graduate standing. (3).
General considerations for selection and evaluation of measurement equipment, signal and data processing methods. Operation principles of sensors, e.g., for force, pressure, flow and temperature measurements. Uncertainty Analysis of complete measurement systems to allow appropriate selection and use of measurement instrumentation including digital signal processing

404 Coherent Optical Measurement Techniques
Prerequisites: Senior or graduate standing. (3).
Modern optical techniques using lasers in measurements of mechanical phenomena. Introduction to the nature of laser light and Fourier optics; use of holography and laser speckle as measurement techniques; laser doppler velocimetry.

406 Biomechanics for Engineering Students
Prerequisites: ME 320 and 382. (3).
Fundamental properties of biological systems, followed by a quantitative, mechanical analysis. Topics include mechanics of the cytoskeleton, biological motor molecules, cell motility, muscle, tissue and bio-fluid mechanics, blood rheology, bio-viscoelasticity, biological ceramics, animal mechanics and locomotion, biomimetics, and effects of scaling. Individual topics will be covered on a case by case study basis.

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412 Advanced Strength of Materials
Prerequisites: ME 311. (3).
Review of energy methods; Betti's reciprocal theorem; elastic, thermoelastic, and elastoplastic analysis of axisymmetric thick cylinders and rotating discs; bending of rectangular and circular plates, including asymmetric problems; beams on elastic foundations; axisymmetric bending of cylindrical shells; torsion of prismatic bars.

420 Fluid Mechanics II
Prerequisites: ME 320. (3).
Control volume and streamline analysis for steady and unsteady flows. Incompressible and compressible flow. Hydraulic systems. Design of components. Losses and efficiency. Applications to centrifugal and axial flow machinery, e.g., fans, pumps, and torque converters.

424 (BME 424) Engineering Acoustics
Prerequisites: Math 216 or Physics 240. (3).
Vibrating systems; acoustic wave equation; plane and spherical waves in fluid media; reflection and transmission at interfaces; propagation in lossy media; radiation and reception of acoustic waves; pipes, cavities, and waveguides; resonators and filters; noise; selected topics in physiological, environmental, and architectural acoustics.

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432 Combustion
Prerequisites: ME 336; Preceded or accompanied by ME 320. (3).
Introduction to combustion processes; combustion thermodynamics, reaction kinetics, and combustion transport. Chain reactions, ignition, quenching, and flammability limits. Detonations, deflagrations, and flame stability. Introduction to turbulent premixed combustion. Applications in IC engines, furnaces, gas turbines, and rocket engines.

437 Applied Energy Conversion
Prerequisites: ME 235 and Math 216. (3).
Quantitative treatment of energy resources, conversion processes, and energy economics. Consideration of fuel supplies, thermodynamics, environmental impact, capital and operating costs. Emphasis is placed on issues of climate change and the role of energy usage. In-depth analysis of automobiles to examine the potential of efficiency improvement and fuel change.

438 Internal-Combustion Engines
Prerequisites: Preceded or accompanied by ME 336 or permission of instructor. (4).
Analytical approach to the engineering problem and performance analysis of internal combustion engines. Study of thermodynamics, combustion, heat transfer, friction, and other factors affecting engine power, efficiency, and emissions. Design and operating characteristics of different types of engines. Computer assignments. Engine laboratories.

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440 Intermediate Dynamics and Vibrations
Prerequisites: ME 240. (4).
Newton/Euler and Lagrangian formulations for three-dimensional motion of particles and rigid bodies. Linear free and forced responses of one- and two-degree-of-freedom systems and simple continuous systems. Applications to engineering systems involving vibration isolation, rotating imbalance and vibration absorption.

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450 Design and Manufacturing III
Prerequisites: ME 350, ME 360, ME395. May not be taken concurrently with ME495. Not open to graduate students. (4).
A mechanical engineering design project by which the student is exposed to the design process from concept through analysis to layout and report. Projects are proposed from the different areas of study within mechanical engineering and reflect the expertise of instructing faculty. Three hours of lecture and two laboratories.

451 (Mfg 453) Properties of Advanced Materials for Design Engineers
Prerequisites: ME 382. (3).
Mechanical behavior and environmental degradation of polymeric-, metal-, and ceramic-matrix composites; manufacturability of advanced engineering materials; use of composite materials in novel engineering designs.

452 (Mfg 452) Design for Manufacturability
Prerequisites: ME 350. (3).
Conceptual design. Design for economical production, Taguchi methods, design for assembly, case studies. Product design using advanced polymeric materials and composites; part consolidation, snap-fit assemblies; novel applications. Design projects.

453 Electronic Circuits Laboratory - Self-Paced
Prerequisites: EECS 314. (3).
Students will design, build, and test useful electronic circuits and come to understand how most simple electronic circuits function. This will enable them to find resources to improve their circuit design skills. Topics include basic circuit design and assembly techniques; analog and digital circuits and embedded microcontrollers; data acquisition and electromechanical systems.

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454 (Mfg 454) Computer Aided Mechanical Design
Prerequisites: Eng 101, ME 360. (3)
Introduction to the use of the digital computer as a tool in engineering design and analysis of mechanical components and systems. Simulation of static, kinematic and dynamic behavior. Optimal synthesis and selection of elements. Discussion and use of associated numerical methods and application software. Individual projects.

455 Analytical Product Design
Prerequisites: ME 350, ME 360, ME 395 for ME majors. PI for all others. (3-4)
The design of artifacts is addressed from a multidisciplinary perspective that includes engineering, art, psychology, marketing, and economics. Using a decision-making framework, emphasis is placed on quantitative methods. Building mathematical models and accounting for interdisciplinary interactions. Students work in team design projects from concept generation to prototyping and design verification. Four credit-hour election requires prototyping of project. disciplines for making design decisions, building mathematical models, and accounting for interdisciplinary interactions throughout the design development process. Students work in teams to apply the methods on a design project from concept generation to prototyping and design verification. More information can be found at the course website:  http://antilium.engin.umich.edu/apd/index.html

456 (BiomedE 456) Tissue Mechanics
Prerequisites: ME 211, ME 240. (3)
Definition of biological tissue and orthopaedic device mechanics including elastic, viscoelastic and non-linear elastic behavior. Emphasis on structure function relationships. Overview of tissue adaptation and the interaction between tissue mechanics and physiology.

458 Automotive Engineering
Prerequisites: ME 350. (3)
Emphasizes systems approach to automotive design. Specific topics include automotive structures, suspension steering, brakes, and driveline. Basic vehicle dynamics in the performance and handling modes are discussed. A semester team-based design project is required.

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461 Automatic Control
Prerequisites: ME 360. (3)
Feedback control design and analysis for linear dynamic systems with emphasis on mechanical engineering applications; transient and frequency response; stability; system performance; control modes; state space techniques; digital control systems.

471 Computational Heat Transfer
Prerequisites: ME 320. (3)
Enclosure and gas radiation. Parallel flow and boundary layer convection. Variable property and odd geometry conduction. Technological applications. Individual term projects. Use of elementary spectral, similarity, local similarity, local (finite) difference and global difference (finite element) solution techniques.

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476 (BiomedE 476) Biofluid Mechanics
Prerequisites: ME 320. (3)
This is an intermediate level fluid mechanics course which uses examples from biotechnology processes and physiologic applications including the cardiovascular, respiratory, ocular, renal, musculo-skeletal and gastrointestinal systems.

481 Manufacturing Processes
Prerequisites: ME382. I (3)
Modeling and quantitative analysis of manufacturing processes used in industry to manufacture mechanical systems: machining, deformation, welding, assembly, surface treatment, and solidification. Process costs and limits; influence of processes on the final mechanical properties of the product. Reconfigurable manufacturing. Three recitations. Undergraduate credit only. Undergraduate credit only.

482 (Mfg 492) Machining Processes
Prerequisites: II (3)
Introduction to machining operations. Cutting tools and tool wear mechanisms. Cutting forces and mechanics of machining. Machining process simulation. Surface generation. Temperatures of the tool and workpiece. Machining dynamics. Non-traditional machining. Two hours lecture and one laboratory session.

487 (Mfg 488) Welding
Prerequisites: ME 382. (3)
Study of the mechanism of surface bonding, welding metallurgy, effect of rate of heat input on resulting microstructures, residual stresses and distortion, economics and capabilities of the various processes.

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490 Experimental Research in Mechanical Engineering
Prerequisites: senior standing. For undergraduates only. (3)
Individual or group experimental or theoretical research in the area of mechanical engineering. A topic in mechanical engineering under the direction of a member of the department. The student will submit a final report. Two four-hour laboratories per week. For undergraduates only. More Information.

491 Independent Study
Prerequisites: ME 490, permission of instructor; mandatory pass/fail. (1-3)
Individual or group experimental or theoretical research in the area of mechanical engineering. A topic in mechanical engineering under the direction of a member of the department. The student will submit a final report. Two four-hour laboratories per week. For undergraduates only.

495 Laboratory II
Prerequisites: ME 360, ME 395, preceded or accompanied by ME 335 and ME 350. May not elect ME 450 concurrently. Not open to graduate students. (4)
Weekly lectures and extended experimental projects designed to demonstrate experimental and analytical methods as applied to complex mechanical systems. Topics will include controls, heat transfer, fluid mechanics, thermodynamics, mechanics, materials, and dynamical systems. Emphasis on laboratory report writing, oral presentations, and team-building skills, and the design of experiments.

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499 Special Topics in Mechanical Engineering
Prerequisites: permission of instructor. (credits to be arranged)
Selected topics pertinent to mechanical engineering.

501 Analytical Methods in Mechanics
Prerequisites: ME 211, ME 240, Math 216. (3).
An introduction to the notation and techniques of vectors, tensors, and matrices as they apply to mechanics. Emphasis is on physical motivation of definitions and operations, and on their application to problems in mechanics. Extensive use is made of examples from mechanics.

502 Methods of Differential Equations in Mechanics
Prerequisites: Math 454. (3).
Applications of differential equation methods of particular use in mechanics. Boundary value and eigenvalue problems are particularly stressed for linear and nonlinear elasticity, analytical dynamics, vibration of structures, wave propagation, fluid mechanics, and other applied mechanics topics.

505 Finite Element Methods in Mechanical Engineering
Prerequisites: ME 501, (ME 311 or ME 320). (3).
Theoretical and computational aspects of finite element methods. Examples from areas of thermal diffusion, potential/irrotational flows, lubrication, structural mechanics, design of machine components, linear elasticity, and Navier-Stokes flow problems. Program development and modification are expected as well as learning the use of existing codes.

506 (BiomedE 506) Computational Modeling of Biological Tissues
Prerequisites: None. (3).
Biological tissues have multiple scales and can adapt to their physical environment. This course focuses on visualization and modeling of tissue physics and adaptation. Examples include electrical conductivity of heart muscle and mechanics of hard and soft tissues. Homogenization theory is used for multiple scale modeling.

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511 Theory of Solid Continua
Prerequisites: ME 211, Math 450. (3).
The general theory of a continuous medium. Kinematics of large motions and deformations; stress tensors; conservation of mass, momentum, and energy; constitutive equations for elasticity, viscoelasticity, and plasticity; applications to simple boundary value problems.

512 (CEE 509) Theory of Elasticity
Prerequisites: ME 311 or ME 412, or ME 511 or equivalent. (3).
Stress, strain and displacement, equilibrium and compatibility. Use of airy stress function in rectangular and polar coordinates, asymptotic fields at discontinuities, forces and dislocations, contact and crack problems, rotating and accelerating bodies. Galerkin and Papkovich-Neuber solutions, singular solutions, spherical harmonics. Thermoelasticity. Axisymmetric contact and crack problems. Axisymmetric torsion.

513 Automotive Body Structures
Prerequisites: ME 311. (3).
Emphasis is on body concept for design using first order modeling of thin walled structural elements. Practical application of solid/structural mechanics is considered to design automotive bodies for global bending, torsion, vibration, crashworthiness, topology, material selection, packaging, and manufacturing constraints.

514 Nonlinear Fracture Mechanics
Prerequisites: ME 412. (3).
Elements of solid mechanics, historical development of fracture mechanics, energy release rate of cracked solids, linear elastic fracture mechanics, and elastic-plastic fracture mechanics.

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515 Contact Mechanics
Prerequisites: ME 311 or 350. I alternate and odd years (3).
Hertzian elastic contact; elastic-plastic behavior under repeated loading; shakedown. Friction; transmission of frictional tractions in rolling; fretting; normal and oblique impact. Dynamic loading. Surface durability in rolling. Surface roughness effects. Conduction of heat and electricity across interfaces. Thermal and thermoelastic effects in sliding and static contact.

516 (MSE 516) Mechanics of Thin Films and Layered Materials
Prerequisites: ME 311 or graduate standing. I alternate years (3).
Stresses and deformations in layered materials; energy-release rates and delamination; fracture mechanics of layered materials; spalling; interfacial fracture mechanics; mixed-mode fracture; buckling-driven delamination; cracking of thin films; effects of plasticity on fracture; stress-relaxation mechanisms in multi-layered materials; adhesion and fracture tests.

517 Mechanics of Polymers I
Prerequisites: ME 511 or permission of instructor. (3).
Constitutive equation for linear small strain viscoelastic response; constant rate and sinusoidal responses; time and frequency dependent material properties; energy dissipation; structural applications including axial loading, bending, torsion; three dimensional response, thermo-viscoelasticity, correspondence principle, Laplace transform and numerical solution methods.

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518 (Mfg 518) Composite Materials: Mechanics, Manufacturing, and Design
Prerequisites: senior or graduate standing. II alternate years (3).
Composite materials, including naturally occurring substances such as wood and bone, and engineered materials from concrete to carbon fiber reinforced epoxies. Development of micromechanical models for a variety of constitutive laws. Link between processing and as-manufactured properties through coupled fluid and structural analyses.

519 Theory of Plasticity I
Prerequisites: ME 511. (3).
Fundamentals of plasticity; stress-strain relations, yield criteria and the general behavior of metals and nonmetals beyond proportional limit in the light of experimental evidence. Various approximate theories with emphasis on the theory of plastic flow. Application to problems of bending, torsion, plane strain and plane stress, technological problems.

520 Advanced Fluid Mechanics I
Prerequisites: ME 320. (3)
Fundamental concepts and methods of fluid mechanics; inviscid flow and Bernoulli theorems; potential flow and its application; Navier-Stokes equations and constitutive theory; exact solutions of the Navier-Stokes equations; boundary layer theory; integral momentum methods; introduction to turbulence.

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521 Advanced Fluid Mechanics II
Prerequisites: ME 520. (3).
Viscous flow fundamentals; vorticity dynamics; solution of the Navier-Stokes equations in their approximate forms; thin shear layers and free surface flows; hydrodynamic stability and transition to turbulence; fundamental concepts of turbulence; the turbulent boundary layer; introduction to turbulence modeling.

523 (Aero 523) Computational Fluid Dynamics I
Prerequisites: Aero 325 or preceded or accompanied by ME 520. (3)
Physical and mathematical foundations of computational fluid mechanics with emphasis on applications. Solution methods for model equations and the Euler and the Navier-Stokes equations. The finite volume formulation of the equations. Classification of partial differential equations and solution techniques. Truncation errors, stability, conservation, and monotonicity. Computer projects and homework.

524 Advanced Engineering Acoustics
Prerequisites: ME 424, (BME 424). (3).
Derivation of the acoustic wave equation and development of solution techniques. Transmission and reflection from solids, plates and impedance boundaries. Radiation and scattering from non-simple geometries. Green's functions; boundary element and finite element methods. Sound in ducts and enclosures. Introduction to structural-acoustic coupling. Automotive and other applications considered.

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527 Multiphase Flow
Prerequisites: ME 520. (3)
Selected topics in multiphase flow including nucleation and cavitation, dynamics of stationary and translating particles and bubbles, basic equations of homogeneous two-phase gas/liquid, gas/solid, and vapor/liquid flows, kinematics and acoustics of bubbly flows, instabilities and shock waves in bubbly flows, stratified, annular, and granular flow.

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530 Advanced Heat Transfer
Prerequisites: ME 320 or equivalent background in fluid mechanics and heat transfer. I (3).
Advanced topics in conduction and convection including the presentation of several solution methods (semi-quantitative analysis, finite difference methods, superposition, separation of variables) and analysis of multi-mode heat transfer systems. Fundamentals of radiation heat transfer including blackbody radiation, radiative properties, view factors, radiative exchange between ideal and non-ideal surfaces.

532 Convection Heat Transfer
Prerequisites: ME 335. (3).
Differential and integral formulations of convection. Parallel and nearly parallel laminar (boundary layer) flows. Similarity solutions. Periodic convection. Computational convection. Instability and turbulence. Kinetic and thermal scales and spectra. Flow prediction. Heat transfer prediction. Multiple scale dimensional analysis. Technological applications.

533 Radiative Heat Transfer
Prerequisites: ME 335. (3).
Electromagnetic, optical and quantum aspects of radiative equilibrium. Enclosure radiation including spatial, specular, and spectral distributions. Gas radiation including boundary affected thin gas and thick gas approximations. Averaged and spectral properties. Technological applications.

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535 Thermodynamics III
Prerequisites: ME 336. (3).
Definitions and scope of thermodynamics; first and second laws. Maxwell's relations. Clapeyron relation, equation of state, thermodynamics of chemical reactions, availability.

537 Advanced Combustion
Prerequisites: ME 432 or equivalent. (3).
Advanced treatment of fundamental combustion processes. Conservation equations for reacting gas mixtures. The structure of one-dimensional diffusion and premixed flames; introduction to activation energy asymptotics. Two-dimensional Burke-Schumann flames and boundary layer combustion. Flame instabilities and flame stretch; turbulent combustion.

538 Advanced Internal Combustion Engines
Prerequisites: ME 438. (3).
Modern analytical approach to the design and performance analysis of advanced internal combustion engines. Study of thermodynamics, fluid flow, combustion, heat transfer, and other factors affecting the design, operating and emissions characteristics of different engine types. Application of course techniques to engine research projects.

539 Heat Transfer Physics
Prerequisites: ME 235, ME 335. (3).
This course combines fundamentals of statistical thermodynamics, quantum mechanics, transport theories, computational molecular dynamics, solid-state physics, and radiation transport, as related to heat transfer and thermal energy conversion. It presents a unified theory of heat transfer physics in its modern applications.

540 (Aero 540) Intermediate Dynamics
Prerequisites: ME 240. (3).
Newton/Euler and Lagrangian formulations for three dimensional motion of particles and rigid bodies. Principles of dynamics applied to various rigid-body and multi-body dynamics problems that arise in aerospace and mechanical engineering.

541 Mechanical Vibrations
Prerequisites: ME 440. (3).
Time and frequency domain mathematical techniques for linear system vibrations. Equations of motion of discrete non-conservative systems. Vibration of multi-degree-of-freedom systems. Small oscillation theory. Free vibration eigenvalue problem. Undamped system response. Viscously damped systems. Vibration of continuous systems. Modes of vibration of bars, beams, membranes, plates.

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542 Vehicle Dynamics
Prerequisites: ME 440. (3).
Dynamics of the motor vehicle. Static and dynamic properties of the pneumatic tire. Mechanical models of single and double-track vehicles enabling prediction of their response to control forces/moments and external disturbances. Directional response and stability in small disturbance maneuvers. The closed-loop driving process. Behavior of the motor vehicle in large perturbation maneuvers. Ride phenomena treated as a random process.

543 Analytical and Computational Dynamics I
Prerequisites: ME 440. (3).
Modern analytical rigid body dynamics equation formulation and computational solution techniques applied to mechanical multibody systems. Kinematics of motion generalized coordinates and speeds, analytical and computational determination of inertia properties, generalized forces, Gibb's function, Routhian, Kanes's equations, Hamilton's principle, Lagrange's equations holonomic and nonholonomic constraints, constraint processing, computational simulation.

551 (Mfg 560) Mechanisms Design
Prerequisites: ME 350. (3).
Basic concepts. Type synthesis - creative design of mechanisms; graph theory. Precision-point Burmester theory for dimensional synthesis of linkages. Applications. Cam and follower system synthesis. Joint force analysis and dynamic analysis formulations. Analytical synthesis of programmable and compliant mechanisms. Use of software for synthesis and analysis. Design projects.

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552 (Mfg 552) Electromechanical System Design
Prerequisites: EECS 314 or equivalent. (3).
Design of electromechanical systems with emphasis placed on the integration of mechanical and electrical principles. Topics include: electromechanical device design: generators/alternators, electrical motors, measurement/sensing devices; digital control: microprocessors, AD/DA converters, data transmission and acquisition; electromechanical system design: mixed domain modeling, real time control and mechatronic systems.

553 (Mfg 553) Microelectromechanical Systems
Prerequisites: senior or graduate standing. II alternate years (3).
Basic integrated circuit (IC) manufacturing processes; electronics devices fundamentals; microelectromechanical systems fabrications including surface micromachining, bulk micromachining, LIGA and others. Introduction to micro-actuators and microsensors such as micromotors, grippers, accelerometers and pressure sensors. Mechanical and electrical issues in micromachining. IC CAD tools to design microelectromechanical structures using MCNC MUMPs service. Design projects.

554 (Mfg 554) Computer Aided Design Methods
Prerequisites: ME 454, (Mfg 454) or ME 501. (3).
Generalized mathematical modeling of engineering systems, methods of solution and simulation languages. Analysis methods in design; load, deformation, stress and finite element considerations; nonlinear programming. Computational geometry; definition and generation of curves and surfaces. Computer graphics; transformations; clipping and windowing; graphics systems; data structures; command languages; display processors.

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555 (Mfg 555) Design Optimization
Prerequisites: Math 451 and Math 217 or equivalent. (3).
Mathematical modeling of engineering design problems for optimization. Boundedness and monotonicity analysis of models. Differential optimization theory and selected numerical algorithms for continuous nonlinear models. Emphasis on the interaction between proper modeling and computation. Students propose design term projects from various disciplines and apply course methodology to optimize designs.

556 Fatigue in Mechanical Design
Prerequisites: ME 382 or equivalent. (3).
A broad treatment of stress, strain, and strength with reference to engineering design and analysis. Major emphasis is placed on the analytical and experimental determination of stresses in relationship to the fatigue strength properties of machine and structural components. Also considered are deflection, post-yield behavior, residual stresses, temperature and corrosion effects.

557 Materials in Manufacturing and Design
Prerequisites: senior or graduate standing. (3).
Material selection on the basis of cost, strength, formability and machinability. Advanced strength analysis of heat-treated and cold-formed parts including axial, bending, shear and cyclic deformation. Correlations of functional specifi -cations and process capabilities. Problems in redesign for productability and reliability.

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558 (Mfg 558) Discrete Design Optimization
Prerequisites: senior or graduate standing. I alternate years (3).
Fundamentals of discrete optimization for engineering design problems. Mathematical modeling of engineering design problems as discrete optimization problems, integer programming, dynamic programming, graph search algorithms, and introduction to NP completeness. A term project emphasizes applications to realistic engineering design problems.

559 (Mfg 559) Smart Materials and Structures
Prerequisites: EECS 314 or equivalent. I alternate years (3).
This course will cover theoretical aspects of smart materials, sensors and actuator technologies. It will also cover design, modeling and manufacturing issues involved in integrating smart materials and components with control capabilities to engineering smart structures.

560 (Mfg 562) Modeling Dynamic Systems
Prerequisites: ME 360. (3).
A unified approach to the modeling, analysis and simulation of energetic dynamic systems. Emphasis on analytical and graphical descriptions of state-determined systems using Bond Graph language. Analysis using interactive computer simulation programs. Applications to the control and design of dynamic systems such as robots, machine tools and artificial limbs.

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561 (EECS 561) Design of Digital Control Systems
Prerequisites: EECS 460 or ME 461. (4).
Sampling and data reconstruction. Z-transforms and state variable descriptions of discrete-time systems. Modeling and identification. Analysis and design using root locus, frequency response, and state space techniques. Linear quadratic optimal control and state estimation. Quantization and other nonlinearities. Computer simulations and laboratory implementation of real-time control systems.

562 Dynamic Behavior of Thermal-Fluid Processes
Prerequisites: ME 335. (3).
Principles of transport processes and automatic control. Techniques for dynamic analysis; dynamic behavior of lumped- and distributed-parameter systems, nonlinear systems, and time-varying systems; measurement of response; plant dynamics. Experimental demonstration for dynamic behavior and feedback control of several thermal and fluid systems.

563 (IOE 565, MFG 561) Time Series Modeling, Analysis, Forecasting
Prerequisites: IOE 366 or ME 401. (3).
Time series modeling, analysis, forecasting, and control, identifying parametric time series, autovariance, spectra, Green's function, trend and seasonality. Examples from manufacturing, quality control, ergonomics, inventory, and management.

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564 (Aero 540, EECS 560) Linear Systems Theory
Prerequisites: graduate standing. (4).
Linear spaces and linear operators. Bases, subspaces, eigenvalues and eigenvectors, canonical forms. Linear differential and difference equations. Mathematical representations: state equations, transfer functions, impulse response, matrix fraction and polynomial descriptions. System-theoretic concepts: causality, controllability, observability, realizations, canonical decomposition, stability.

567 (EECS 567, Mfg 567) Introduction to Robotics: Theory and Practice
Prerequisites: EECS 281. (3).
Introduction to robots considered as electro-mechanical computational systems performing work on the physical world. Data structures representing kinematics and dynamics of rigid body motions and forces and controllers for achieving them. Emphasis on building and programming real robotic systems and on representing the work they are to perform.

568 Vehicle Control Systems
Prerequisites: ME 461 or equivalent. (3).
Design and analysis of vehicle control systems such as cruise control, traction control, active suspensions and advanced vehicle control systems for Intelligent Vehicle-Highway Systems (IVHS). Human factor considerations such as driver interfaces. This course may be used as part of the IVHS certification program.

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569 Control of Advanced Powertrain Systems
Prerequisites: ME 360, preceeded or accompanied by ME 461. (3).
Will cover essential aspects of electronic engine control for spark ignition (gasoline) and compression ignition (diesel) engines followed by recent control developments for direct injection, camless actuation, active boosting technologies, hybrid-electric, and fuel cell power generation. Will review system identification, averaging, feedforward, feedback, multivariable (multiple SISO and MIMO), estimation, dynamic programming, and optimal control techniques.

572 (Mfg 580) Rheology and Fracture
Prerequisites: ME 382. (3).
Mechanisms of deformation, cohesion, and fracture of matter. Unified approach to the atomic-scale origins of plastic, viscous, viscoelastic, elastic, and anelastic behavior. The influences of time and temperature on behavior. Stress field of edge and screw dislocations, dislocation interactions, and cross slip. Ductile, creep, brittle, and fatigue failure mechanisms.

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573 (Mfg 581) Friction and Wear
Prerequisites: background in materials and mechanics desirable. (3).
The nature of solid surfaces, contact between solid surfaces, rolling friction, sliding friction, and surface heating due to sliding; wear and other types of surface attrition are considered with reference to practical combinations of sliding materials, effect of absorbed gases, surface contaminants and other lubricants on friction, adhesion, and wear; tire and brake performance.

574 Nano/Micro Structure Evolution
Prerequisite: graduate standing and seniors by PI. (3).
This course will focus on scientific understanding and computational techniques. Students will have the opportunity to develop a program to implement the methods to simulate nanostructure evolution. Topics covered include: configurational forces, formulation of migration, simulation of structural evolution, surface roughening, motion of thin film, composition modulation, electromigration, and assembly.

576 (Mfg 556) Fatigue in Mechanical Design
Prerequisites: ME 382 or equivalent. (3).
A broad treatment of stress, strain, and strength with reference to engineering design and analysis. Major emphasis is placed on the analytical and experiemental determination of stresses in relationship to the fatigue strength properties of machine and structural components. Also considered are deflection, post-yield behavior, residual stresses, temperature and corrosion effects.

577 (Mfg 557) Materials in Manufacturing and Design
Prerequisites: senior or graduate standing. (3).
Material selection on the basis of cost, strength, formability, and machinability. Advanced strength analysis of heat-treated and cold-formed parts including axial, bending, shear and cyclic deformation. Correlations of functional specifications and process capabilities. Problems in redesign for productability and reliability.

580 Transport Phenomena in Materials Processing
Prerequisite: senior or graduate standing. (e).
Proficiency in the fundamental understanding of materials processing techniques. Lectures will cover: techniques for model development and simplification with an emphasis on estimation and scaling; 'classical' analytic solutions to simple problems, physical phenomena in materials processing including non-Newtonian fluid flow, solidification, and microstructure development. Techniques for measurement of monitoring of important process variables for model verification and process control. Case stdies (heat treatment; welding; polymer extrusion and molding; various metal casting processes; crystal growth).

581 (Mfg 574) Global Product Development
Prerequisites: graduate standing. (3).
A project-based course in which each (global) student team comprised of students from three universities will be responsible for development of a product for the global market. Teams will use collaboration technology tools extensively. Several case studies on global product development will be presented and follow-up lectures will focus on the issues highlighted.

582 (Mfg 582, MSE 523) Metal-Forming Plasticity
Prerequisites: ME 211. (3).
Elastic and plastic stress-strain relations; yield criteria and flow rules; analyses of various plastic forming operations. Effects of hardening and friction, temperature, strain rate, and anisotropy.

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584 (Mfg 584) Control of Machining Systems
Prerequisites: ME 461 or equivalent. (3).
Advanced control and sensing methodologies for machining processes: milling, turning, drilling, grinding and laser cutting: machine tool structure; CNC programming; drive components; trajectory interpolators; selection of control parameters; software compensation and adaptive control. The design process of a comprehensive machining system. (Two-hour lecture and two-hour lab per week.)

585 (Mfg 585) Machining Dynamics and Mechanics
Prerequisites: graduate standing or permission of instructor. (3).
Dynamic cutting process models and process stability issues. Advanced cutting process mechanics and modeling including cutting process damping, thermal energy and cutting temperature, and wear evolution. Single and multi-DOF stability analysis techniques, stability margins and stability charts. Modeling approximations for industrial applications.

586 (Mfg 591) Laser Materials Processing
Prerequisites: senior or graduate standing. (3).
Application of lasers in materials processing and manufacturing. Laser principles and optics. Fundamental concepts of laser/material interaction. Laser welding, cutting, surface modification, forming, and rapid prototyping. Modeling of processes, microstructure and mechanical properties of processed materials. Transport phenomena. Process monitoring.

587 (Mfg 587) Global Manufacturing
Prerequisites: one 400-level MFG or DES or BUS class. (3).
Globalization and manufacturing paradigms. Product-process-business integration. Product invention strategy. Customized, personalized and reconfigurable products. Mass production and lean production. Mathematical analysis of mass customization. Traditional manufacturing systems. Reconfigurable manufacturing systems. Reconfigurable machines. System configuration analysis. Responsibe business models. Enterprise globalization strategies. The global integrated enterprise.

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588 (IOE 588, Mfg 588) Assembly Modeling for Design and Manufacturing
Prerequisites: ME 481 and ME 401 or equivalent. (3).
Assembly on product and process. Assembly representation. Assembly sequence. Datum flow chain. Geometric Dimensioning & Tolerencing. Tolerance analysis. Tolerance synthesis. Robust design. Fixturing. Joint design and joining methods. Stream of variation. Auto body assembly case studies.

589 Ecological Sustainability in Design and Manufacturing
Prerequisites: senior or graduate standing. (3).
A scientific basis for understanding and reducing the environmental impact of engineering design and manufacturing decisions from a life cycle perspective. Environmental impact principles: air/water pollution, ozone depletion, global warming, resource sustainability. Life cycle assessment and environmentally conscious manufacturing of metals, plastics, and electronics products. Systems design metrics, disassembly, remanufacturing, recycling, policy considerations. Case studies include: sustainable mobility, alternative energy sources, tooling and machining, refrigeration, electronics remanufacturing.

590 Study or Research in Selected Mechanical Engineering Topics
Prerequisites: graduate standing; permission of the instructor who will guide the work; mandatory satisfactory/unsatisfactory. (3).
Individual or group study, design, or laboratory research in a field of interest to the student. Topics may be chosen from any of the areas of mechanical engineering. The student will submit a report on the project and give an oral presentation to a panel of faculty members at the close of the term.

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595 Master's Thesis Proposal
Prerequisites: graduate standing in Mechanical Engineering. (3). (Not for credit until 6 hours of ME 695 is satisfactorily completed.)
A course devoted to literature search, analysis, design of experiments, and other related matters prior to completion of a master's degree thesis. A thesis proposal clearly delineating the proposed research and including the above items is required at the conclusion of the course.

599 Special Topics in Mechanical Engineering
Prerequisites: permission of instructor. (credits to be arranged).
Selected topics pertinent to mechanical engineering.

605 Advanced Finite Element Methods in Mechanics
Prerequisites: ME 505 or CEE 510 (NA 512). (3).
Recent developments in finite element methods: mixed, hybrid, mixed-hybrid, reduced integration penalty, singular, boundary integral elements. Emphasis on the methodology for developing elements by using calculus of variations. Applications selected from various branches of solid and fluid mechanics.

617 Mechanics of Polymers II
Prerequisites: ME 511 or ME 517 (MacroSE 517) or permission of instructor. (3).
Selected advanced topics in the mechanics of polymeric solids and fluids, including nonlinear elasticity, nonlinear viscoelastic solids, viscoplasticity in amorphous and crystalline polymer solids, constitutive models and associated flow properties for polymer fluids, temperature dependence and solidification, applications.

619 Theory of Plasticity II
Prerequisites: ME 519. (3).
Plastic theory for materials with isotropic hardening, kinematic hardening, and time dependence. Theories based on crystal slip; variational theorems; range of validity of total deformation theories. Theory of generalized stresses applied to circular plates; behavior of finite deflection; limit analysis of shells. Plane stress, plane strain, and axial symmetry. Plastic response to impact loads. Minimum weight design.

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622 Inviscid Fluids
Prerequisites: ME 520. (3).
Vorticity theorems of Helmholtz and Kelvin. Potential flow; the complex potential; flow around bodies. Conformal mapping and free streamline theory. Rotational flow; stability; Kelvin-Helmholtz and Rayleigh-Taylor instabilities. Motion of point vortices and vortex regions. Chaotic vortex motions. Vortex filaments and vortex sheets.

623 Hydrodynamic Stability
Prerequisites: ME 520. (3).
An introduction to the theory of hydrodynamic stability with applications to stability of thermal flows, rotating and curved flows, wall bounded and free shear flows. Development of the asymptotic theory of the Orr-Sommerfeld equation. Review of the fundamental concepts and current work in nonlinear theory of hydrodynamic stability.

624 Turbulent Flow
Prerequisites: ME 520. (3).
Fundamentals of turbulent flows; the basic equations and the characteristic scales, statistical description of turbulence. Review of experimental results on the statistics and structure of turbulent flows. Methods for calculation of turbulent flows; the problem of closure, semi-empirical, phenomenological and analytical theories of turbulence, large-eddy and direct simulations of turbulence.

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625 Nonhomogeneous Fluids
Prerequisites: ME 520. (3).
Motion of fluids of variable density and entropy in gravitational field, including the phenomenon of blocking and selective withdrawal; waves of small finite amplitudes, including waves in the lee of mountains; stability of stratified flows; flow of Nonhomogeneous fluids in porous media. Analogy with rotating fluids.

626 Perturbation Methods for Fluids
Prerequisites: ME 520. (3).
Application of asymptotic methods to fluid mechanics with special emphasis on the method of matched expansions. Regular perturbation solutions; suppression of secular terms; method of multiple scales; boundary layer and low Reynolds number flows by inner and outer expansions; phenomena in rotating flows. Applications to computational fluid mechanics.

627 (NA 627) Wave Motion in Fluids (cross-listed with NA 627)
Prerequisites: ME 520 or NA 520 or equivalent. (3).
Surface waves in liquids; group velocity and dispersion; water waves created by, and wave resistance to, a moving body; Korteweg de Vries equation; conoidal and solitary waves in water; wave reflection and diffraction; shallow-water waves by the method of characteristics; statistical approach and spectral analysis; wave generation.

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631 Statistical Thermodynamics
Prerequisites: ME 230 or ME 336. (3).
Introduction to statistical methods for evaluating thermodynamic and transport properties. Elements of quantum mechanics, statistical mechanics, and kinetic theory, as applied to engineering thermodynamics.

635 Thermodynamics IV
Prerequisites: ME 535. (3).
Discussion of thermodynamic systems including surface phenomena, external fields, and relativistic effects. Study of complex equilibrium calculations including effect of heterogeneous reactions and real substance behavior. Introduction to the thermodynamics of irreversible processes with applications to heat and mass transfer, relaxation phenomena, and chemical reactions.

641 Advanced Vibrations of Structures
Prerequisites: ME 541. (3).
Energy formulation for nonconservative gyroscopic systems. Spectral methods for free and forced vibrations. Eigenvalue and boundary value problems. Non-self-adjoint systems. Variational methods of approximation: Bubnov-Galerkin. Perturbation theory for the eigenvalue problem. Dynamics of rotating systems. Dynamics of constrained dynamical systems.

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643 Analytical and Computational Dynamics II
Prerequisites: ME 543. (4).
Kinematical and dynamical equation formulation for rigid and flexible mechanical multibody systems undergoing large overall motion and small elastic deformation. Energy principles, higher and lower pair joint parameterizations, space and dense equation formulation and solution techniques, numerical integration, generalized impulse and momentum, collisions, computational elastodynamics. Course project.

645 Wave Propagation in Elastic Solids
Prerequisites: ME 541. (3).
Elastodynamic equations, isotropic and anisotropic materials; vector/scalar potentials, reflection and transmission at interfaces, mode conversion, surface waves, Rayleigh-Lamb equation. Green's tensor; variational, Galerkin and Hamilton's equations. Kirchhoff-Love and Reissner-Mindlin kinematic hypotheses for beam, plate, and shell theories. Fourier and Laplace transform, modal and state-vector solution techniques.

646 (BiomedE 646) Mechanics of Human Movement
Prerequisites: ME 540 (Aero 540) or ME 543, or equivalent. (3).
Dynamics of muscle and tendon, models of muscle contraction. Kinematics and dynamics of the human body, methods for generating equations of motion. Mechanics of proprioceptors and other sensors. Analysis of human movement, including gait, running, and balance. Computer simulations and discussion of experimental measurement techniques.

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648 Nonlinear Oscillations and Stability of Mechanical Systems
Prerequisites: ME 541. (3).
Large amplitude mechanical vibrations; phase-plane analysis and stability; global stability, theorems of Liapunov and Chetayev; asymptotic and perturbation methods of Lindstedt-Poincare, multiple scales, Krylov-Bogoliubov-Mitropolsky; external excitation, primary and secondary resonances; parametric excitation, Mathieu/Hill equations, Floquet theory; multi-degree of freedom systems and modal interaction.

649 (Aero 615, CEE 617) Random Vibrations
Prerequisites: Math 425 or equivalent; CEE 513 or ME 541 or Aero 543 or equivalent. (3).
Introduction to concepts of random vibration with applications in civil, mechanical, and aerospace engineering. Topics include: characterization of random processes and random fields, calculus of random processes, applications of random vibrations to linear dynamical systems, brief discussion on applications to nonlinear dynamical systems.

661 Adaptive Control Systems
Prerequisites: ME 561. (3).
Introduction to control of systems with undetermined or time-varying parameters. Theory and application of self-tuning and model reference adaptive control for continuous and discrete-time deterministic systems. Model-based methods for estimation and control, stability of nonlinear systems, adaptation laws, and design and application of adaptive control systems.

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662 (Aero 672, EECS 662)Advanced Nonlinear Control
Prerequisites: EECS 562 or ME 548. (3).
Geometric and algebraic approaches to the analysis and design of nonlinear control systems. Nonlinear controllability and observability, feedback stabilization and linearization, asymptotic observers, tracking problems, trajectory generation, zero dynamics and inverse systems, singular perturbations, and vibrational control.

663 Estimation of Stochastic Signals and Systems
Prerequisites: ME 563 or IOE 565 or Mfg 561 equivalent. (3).
Estimation and prediction methods for vector stochastic signals and systems. Topics include characteristics of stochastic signals and systems, principles of estimation theory, linear regression models, description of signals and systems within a time series framework, prediction, prediction-error and correlation-type estimation methods, recursive estimation methods, asymptotic properties, model validation.

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695 Master's Thesis Research
Prerequisites: ME 595, mandatory Satisfactory/Unsatisfactory. (4)
Students must elect 2 terms of 3 hrs/term. No credit without ME 595. Student is required to present a seminar at the conclusion of the second election as well as prepare a written thesis.

699 Advanced Special Topics in Mechanical Engineering
Prerequisites: permission of instructor. (credits to be arranged).
Advanced selected topics pertinent to mechanical engineering.

790 Mechanical Sciences Seminar
Prerequisites: Candidate status in the mechanical sciences. (1).
Every PhD student in the field of mechanical sciences is asked to present a one-hour seminar about his/her research and lead a one-hour follow-up discussion. Active participation in the discussions that follow the presentations is also required for a grade. In addition, each student will participate as a panelist in a panel discussion of the future trends in his/her field. Graded S-U.

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990 Dissertation/Pre-Candidate
Prerequisites: (1-8).
Dissertation work by doctoral student not yet admitted to status as candidate. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment.

995 Dissertation/Candidate
Prerequisites: Graduate school authorization for admission as a doctoral candidate. (4-8).
Election for dissertation work by a doctoral student who has been admitted to candidate status. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment.