The faculty has approval to offer the following courses in the academic years 2007–2008 and 2008–2009; however, not all courses are taught each semester or summer session. Students should consult the Course Schedule to determine which courses and topics will be offered during a particular semester or summer session. The Course Schedule may also reflect changes made to the course inventory after the publication of this catalog.

Unless otherwise stated below, each course meets for three lecture hours a week for one semester.
Mechanical Engineering: M E

380Q. Mathematical Methods in Engineering. Applications of mathematical analysis and numerical concepts to typical engineering problems. May be repeated for credit when the topics vary. Prerequisite: Graduate standing, and Mathematics 427K or the equivalent.

* Topic 1: Engineering Analysis: Analytical Methods. Analytical solutions for linear ordinary differential equations; numerical integration of ordinary differential equations; Fourier series and integrals; the Laplace transform; the solution of partial differential equations; vector analysis and linear transformations.
* Topic 2: Engineering Analysis: Advanced Analytical Methods. Classification and solution of partial differential equations; includes linear superposition, separation of variables, Fourier and Laplace transform methods, Green's functions, similarity solution, and spectral methods; introduction to solution of nonlinear partial differential equations, including both exact and approximate techniques, with a strong emphasis on physical systems.
* Topic 3: Perturbation Methods. Introduction to perturbation theory; regular expansions and sources of nonuniformities; method of strained coordinates and multiple scales; method of matched asymptotic and composite expansions. Places strong emphasis on the relationship between the physical and the mathematical basis and on the crucial role of nondimensionalization in problem solving.
* Topic 4: Numerical Methods for Differential Equations. Numerical solution of ordinary differential equations, both initial and boundary value equations; includes quasilinearization, shooting methods, and method of adjoints; classification and solution of partial differential equations by the finite difference method; stability and convergence criteria for various schemes; special attention to nonlinear equations with a strong emphasis on the Navier-Stokes equations.

383Q. Analysis of Mechanical Systems. Detailed studies in the characteristics of mechanical systems. May be repeated for credit when the topics vary. Prerequisite: Graduate standing.

* Topic 1: Vibrations. Formulation of discrete and continuous models for mechanical systems in vibration; modal analysis; analytical solution methods for constant property linear systems; numerical solution methods.
* Topic 2: Dynamics of Mechanical Systems. Advanced dynamics, including Newton-Euler, Lagrange, and Hamilton's principles; gyroscopic effects in mechanical systems; analysis of stability of systems; continuous bodies; introduction to Hamilton-Jacobi.
* Topic 4: Modeling of Physical Systems. Development of models for mechanical, electrical, fluid, thermal, and chemical systems; circuit techniques; bond graphs; energy and variational methods; hardware examples.
* Topic 5: Wave Propagation. Fundamentals of wave propagation; transverse waves on strings and membranes; compressional, torsional, and flexural waves in rods and plates; longitudinal, shear, and surface waves in elastic media; tube waves; and water waves.
* Topic 6: Fourier and Spectral Analysis in Dynamic Systems. Fourier transformations (series, integrals, fast Fourier transforms) and their relationships. Sampling, aliasing, convolution, correlation, leakage, windowing, power spectra, frequency response functions, and coherence functions in one-dimensional digital signal processing. Cepstrum analysis, Hilbert transforms. Experimental techniques and applications include modal analysis, mechanical signature analysis, and path identification. Additional prerequisite: Consent of instructor.
* Topic 8: Digital Signal Processing. Sampling and quantizing processes; analog/digital and digital/analog conversion; digital Fourier analysis, including fast Fourier transform; z transform; design of finite impulse response and infinite impulse response digital filters.
* Topic 9: Applied Intelligence for Engineers. Fundamental concepts of artificial neural systems; architecture, paradigms, topology, and learning algorithms. Introduction to the most popular networks and to their selection for engineering applications.
* Topic 10: Modeling and Simulations of Multienergic Systems. Methods for modeling and simulation of multienergy systems. Detailed study of applications in electromechanical systems, fluid power, chemical and biological processes, optimal control, and other areas of interest to the class.

383S. Lubrication, Wear, and Bearing Technology. Theory of friction and wear; design of bearing systems, including hydrodynamic, rheodynamic, and direct contact devices. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

* Topic 1: Friction and Wear of Materials. Theories of friction, theories of wear (adhesion, delamination), pitting, spalling, fretting, and galvanic corrosion.

384E. Electromechanics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

* Topic 1: Electromechanical Dynamics. Same as Electrical Engineering 394 (Topic 10: Electromechanical Dynamics). Maxwell's equations and transient response of electrical machines. Additional prerequisite: Electrical Engineering 341.
* Topic 2: Design of Electrical Machines. Same as Electrical Engineering 394 (Topic 11: Design of Electrical Machines). Electrical and mechanical design of electrical machines. Additional prerequisite: Electrical Engineering 341.

384N. Acoustics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

(updated per M. Hamilton, 12/2/08)

Topic 1: Acoustics I. Plane waves in fluids; transient and steady-state reflection and transmission; lumped elements; refraction; strings, membranes, and rooms; horns; ray acoustics; absorption and dispersion. (Taught every fall.)

Topic 2: Acoustics II. Spherical and cylindrical waves; radiation and scattering; multipole expansions; Green's functions; waveguides; sound beams; Fourier acoustics; Kirchhoff theory of diffraction; arrays. (Taught every spring.)

Topic 3: Electromechanical Transducers. Modeling, analysis and design of transducers for reception and transmission of acoustic and vibration signals; dynamics of coupled electrical, mechanical and acoustical systems; effects of transducer characteristics on fidelity and efficiency of transduction. (Taught every fall.)

Topic 4: Nonlinear Acoustics. Waveform distortion and shock formation; harmonic generation and spectral interactions; effects of absorption and dispersion; parametric arrays; Rankine-Hugoniot relations; weak shock theory; numerical modeling; radiation pressure; acoustic streaming. (Taught every other year, next in spring 2009.)

Topic 5: Underwater Acoustics. Acoustical properties of the ocean; point sources and Green's functions; reflection phenomena; ray theory; normal mode theory; guided waves in horizontally stratified fluid media; WKB and parabolic approximations. (Taught every other year, next in fall 2009.)

Topic 6: Architectural Acoustics. Human perception of sound; principles of room acoustics; sound-absorptive materials; transmission between rooms; acoustical design of enclosed spaces. (Taught every other year, next in spring 2009.)

Topic 7: Ultrasonics. Acoustic wave propagation in fluids, elastic solids, and tissue; transducers, arrays, and beamforming; nondestructive evaluation; acoustical imaging. (Taught every other year, last in spring 2008.)

384Q. Design of Control Systems. May be repeated for credit when the topics vary. Prerequisite: Graduate standing, and Mechanical Engineering 364L or the equivalent.

* Topic 1: Introduction to Modern Control. State variable methods, eigenvalues, and response modes; controllability, observability, and stability; calculus of variations; optimal control; Pontraygin maximum principle; control of regulator and tracking servomechanisms; Hamilton-Jacobi, dynamic programming; deterministic observers, Kalman filter; discrete and continuous time.
* Topic 2: Nonlinear Control Systems. State space formulation; stability criteria; Liapunov functions; describing functions; signal stabilization; Popov and circle criteria for design.
* Topic 7: Stochastic Systems, Estimation, and Control. Probability and random variables; filtering theory; stochastic calculus; stochastic control; engineering applications; linear and nonlinear systems; spectral techniques.

384R. Robotics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing.

* Topic 1: Robotics and Automation. Component technologies for precision machines based on dynamic modeling and motion programming: cams, linkages, planar manipulators.
* Topic 2: Design of Smart Mechanisms. Design of reprogrammable multiple-degree-of-freedom architectures. The course addresses various mechanical configurations and stresses the integrated design approach to sensing/actuation/control architecture and control software. Includes design project.
* Topic 3: Advanced Dynamics of Robotic Systems. Treatment in depth of the dynamics of robotic systems. Discussion of modeling, analysis, and control of conventional serial robots, in-parallel manipulators, dual arms, and legged locomotion systems.
* Topic 4: Geometry of Mechanisms and Robots. Advanced topics in theoretical kinematics geometry: applications of screw system theory to the study of motion and force fields in spatial mechanisms and robotic systems; analytical and numerical schemes associated with kinematics geometry.
* Topic 5: Planar Mechanism Synthesis. Design of planar mechanisms for applications that require rigid body guidance, function generation, and path generation. Graphical and analytical techniques. Computer-aided design projects.

385J. Topics in Biomedical Engineering. Three lecture hours a week for one semester, or as required by the topic. May be repeated for credit when the topics vary. Prerequisite: Graduate standing in engineering and consent of instructor.

* Topic 22: Musculoskeletal Biomechanics. Synthesis of properties of the musculotendon and skeletal systems to construct detailed computer models that quantify human performance and muscular coordination. Additional prerequisite for kinesiology students: Mathematics 341 and Kinesiology 395 (Topic 36: Biomechanics of Human Movement).

* Topic 30: Introduction to Biomechanics. Modeling and simulation of human movement; neuromuscular control; computer applications; introduction to experimental techniques. Three lecture hours and one laboratory hour a week for one semester.
* Topic 31: Biomedical Instrumentation I. Application of electrical engineering techniques to analysis and instrumentation in biological sciences: pressure, flow, temperature measurement; bioelectrical signals; pacemakers; ultrasonics; electrical safety; electrotherapeutics.

392G. Computer Graphics and Computer-Aided Design. Studies in computer graphics and its application to design. May be repeated for credit when the topics vary. Prerequisite: Graduate standing.

* Topic 1: Introduction to Computer Graphics. Two- and three-dimensional transformations, projections, and the graphics pipeline; fundamental algorithms for wire frame and hidden surface image generation; interactive techniques, geometric modeling, and realistic rendering using a standard graphics library. Additional prerequisite: Proficiency in C or C++.
* Topic 2: Computer-Aided Geometric Design. Introduction to techniques for representing geometry for computer-aided engineering design. Two- and three-dimensional curve formulations, techniques from algebraic and vector geometry, implicit versus parametric definitions; and free-form surface formulation and solid modeling. Additional prerequisite: Proficiency in C or C++.
* Topic 3: Advanced Computer-Aided Design Applications. Hardware and software for computer-aided design systems. Display devices, multidimensional graphics, optimization, use of artificial intelligence.
* Topic 4: Advanced Topics in Computer-Aided Design. Detailed execution of an independent computer-aided design project. Projects require significant development and emphasize application of techniques from computer-aided engineering and interactive computer graphics. Lectures deal with the subject matter of the projects. Additional prerequisite: Mechanical Engineering 352K, 392G (Topic 1), or 392G (Topic 2); and consent of instructor.

392M. Advanced Mechanical Design. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

* Topic 1: Analytical Techniques in Mechanical Design. Analytical techniques and some computational techniques for the advanced stress and strength analysis of machine components and mechanical structures.
* Topic 3: Advanced Design of Machine Elements. Review of basic machine elements, properties, and stresses; fluid couplings and torque converters; thermal stresses, relaxation, and beneficial residual stressing; shells and rotors; plasticity.
* Topic 6: Engineering Design Theory and Mathematical Techniques. Design history and philosophy. Survey of current research areas in design theory, methodology, and manufacturing. Tools for solving engineering system design and synthesis problems. Reverse engineering design project.
* Topic 7: Product Design, Development, and Prototyping. Methodology and tools for the product development process. Functional designs based on real product needs. Product design project.

392Q. Manufacturing. Topics that cut across departmental concentrations (mechanical systems and design, metallurgy and materials engineering, operations research and industrial engineering), including design for manufacturing, manufacturing machines and manufacturing processing, and production systems. Three lecture hours a week for one semester; additional laboratory hours may be required for some topics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing.

* Topic 1: Introduction to Manufacturing Systems. Analysis and design of production systems to decrease manufacturing costs, decrease defects, and shorten delivery time by reducing process cycle times. Emphasis is on continuous flow manufacturing. Additional prerequisite: A basic understanding of statistics.
* Topic 2: Computer Fundamentals for Manufacturing Systems. Computer graphics, computer-aided design, direct numerical control, relationship between computer-aided design and manufacturing.
* Topic 4: Automation and Integration of Manufacturing Systems. Integration of automated manufacturing components into a cohesive manufacturing system. Selection of automation strategy, communication and interaction between system components, economics and reliability of the resulting systems.
* Topic 5: Manufacturing Processing: Unit Processes. Important unit processing operations in manufacturing: cutting, drilling, and grinding metals, ceramics, composites, and polymers. Deformation processes: forming and rolling. Laser machining.
* Topic 6: Mechatronics I. Integrated use of mechanical, electrical, and computer systems for information processing and control of machines and devices. System modeling, electromechanics, sensors and actuators, basic electronics design, signal processing and conditioning, noise and its abatement, grounding and shielding, filters, and system interfacing techniques. Three lecture hours and two laboratory hours a week for one semester.
* Topic 7: Microcomputer Programming and Interfacing. Microcomputer architecture and programming; microcomputer system analysis; interfacing and digital control.
* Topic 8: The Factory of the Twenty-First Century. Projection of technologies that may significantly affect discrete-parts manufacturing ten to twenty-five years into the future. Speakers may include leaders from academia, government, and industry.
* Topic 9: Mechatronics II. Interfacing microcomputers with sensors and actuators; hybrid (analog/digital) design; digital logic and analog circuitry; data acquisition and control; microcomputer architecture, assembly language programming; signal conditioning, filters, analog-to-digital and digital-to-analog conversion. Three lecture hours and two laboratory hours a week for one semester.

397. Current Studies in Engineering. The equivalent of three class hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of the graduate adviser.

Current list:

• Introduction to Biomechanical Engineering (Barr, Moon)
• Enterprise of Technology: Lab to Market (Nichols)
• Polymer Nanocomposites (Koo)
• Design of Complex Engineering Systems (Seepersad)
• Vehicle System Dynamics and Controls (Longoria)
• Time Series Analysis, Forecasting, and Control (Djurdjanovic)
• Statistical Methods in Manufacturing (Djurdjanovic)

197K, 297K, 397K. Graduate Seminar. Normally required of all mechanical engineering graduate students. For each semester hour of credit earned, one lecture hour a week for one semester. May be repeated for credit when the topics vary. Offered on the credit/no credit basis only. Prerequisite: Graduate standing.

* Topic 1: Acoustics (Over past 25 years has averaged more than 10 seminars per semester)
* Topic 4: Mechanical Systems and Design (Really?)

*Product Realiztion/Technology Commercialization Seminar (Nichols)