Mechanical and Industrial Engineering

College of Engineering

Mechanical and Industrial Engineering Courses

Industrial Engineering

Special Topics

056:000 Cooperative Education Training Assignment: Industrial Engineering	0 s.h.
Industrial engineering students participating in the Cooperative Education Program register in this course during work assignment periods; registration provides a record of participation in the program on the student's permanent record. Prerequisites: admission to Cooperative Education Program and consent of faculty advisor.

056:010 Industrial Engineering First-Year Seminar	0 s.h.
Introduction to curriculum and profession; ethics and professionalism in classroom and workplace. Prerequisite: first-year or transfer standing in engineering.

056:020 Industrial Engineering Sophomore Seminar	0 s.h.
Curriculum and profession; ethics and professionalism in classroom and workplace. Prerequisite: sophomore or transfer standing in engineering.

056:091 Professional Seminar: Industrial Engineering	0 s.h.
Professional aspects of industrial engineering presented through lectures and discussions by guest speakers, field trips, films, panel discussions. Repeatable. Prerequisite: junior standing.

056:098 Individual Investigations: Industrial Engineering	arr.
Independent projects in industrial engineering for undergraduate students, including laboratory study, an engineering design project, analysis and simulation of an engineering system, computer software development, CAD/CAM applications, or research. Prerequisite: consent of course advisor.

Manufacturing

056:032 Design for Manufacturing	3 s.h.
Fundamentals of design, engineering graphics, and manufacturing processing; computer graphics using Pro/ENGINEER for CAD and CAM; typical industrial processes, including casting, welding, machining, forming; laboratory exercises and projects. Corequisite: 057:015. Same as 051:062, 058:032.

056:131 Manufacturing Systems	3 s.h.
Manufacturing and logistics systems, supply chain management, MRP/ERP systems, lean manufacturing, concurrent engineering, value stream mapping and six sigma. Offered spring semesters. Prerequisites: 056:032 and 056:171, or consent of instructor. Same as 058:131.

056:132 Introduction to Industrial Robotics	3 s.h.
Operation and control of robot systems; robotic sensors and data acquisition subsystems; machine vision; software for robot control; design of robotic workcells; laboratory projects; manufacturing process control theory and application. Prerequisite: 059:006.

056:134 Process Engineering	4 s.h.
Methodologies, algorithms, and tools for processing modeling, analysis, and reengineering; modeling issues in product and component design, product and process modularity, quality, reliability, agility. Offered spring semesters. Prerequisite: 056:171.

056:235 Computational Intelligence	3 s.h.
Concepts, models, algorithms, and tools for development of intelligent systems; data mining, expert systems, neural networks for engineering, medical and systems applications. Prerequisite: 056:171. Same as 096:313.

056:237 Operational Issues in Supply Chain Management Engineering	3 s.h.
Probabilistic approaches, supply chain disruption analysis, human decision making in supply chains, auctions and electronic commerce in supply chains. Prerequisite: graduate standing.

056:238 Evolutionary Computation	3 s.h.
Evolutionary computation, genetic programming, development of evolutionary systems for applications in industry, medicine, and nonstructured environments; case studies. Prerequisite: 056:171.

Human Factors and Ergonomics

056:144 Human Factors	3 s.h.
Design of human-machine systems; development of optimum work environments by applying principles of behavioral science and basic knowledge of human capacities and limits. Offered fall semesters. Prerequisite: 031:001.

056:147 Ergonomics	3 s.h.
Ergonomic design of jobs and products in an industrial and consumer market setting; principles of good design, examples of poor design; consequences of poor job and product design; principles of work sampling, usability studies, performance rating, sizing and planning of workstations, hand tool design, ergonomic design in transportation; related group project.

056:148 Human-Centered System Design	3 s.h.
Design strategies for creating customer-centered systems; interview and observation techniques for gathering customer requirements and creating work models; tools for restructuring work and prototype development. Prerequisite: 056:144.

056:240 Human Performance in Engineering Systems	3 s.h.
Human performance limits and capabilities relevant to design of engineering systems; focus on cognitive limits associated with information processing. Prerequisites: 056:144 and 056:147.

056:241 Research Methods in Human Factors Engineering	3 s.h.
Logic and methods for research and for analysis and evaluation of complex human-machine systems; advanced techniques for enhancement of human interaction with advanced information technology; emphasis on cognitive task analysis techniques for innovative design, understanding of how technology affects safety, performance, user acceptance. Prerequisite: 056:240 or intermediate statistics course or consent of instructor.

056:242 Human/Computer Interaction	3 s.h.
Development of projects using human factors principles in the design of computer interfaces.

056:243 Modeling Operator Performance	3 s.h.
Modeling techniques that support design and analysis of the human role in complex systems; process and concepts associated with model development and application. Corequisite: 056:240 or consent of instructor.

056:244 Human Factors in Transportation	3 s.h.
Human capabilities and limitation in transportation context; human factors design from automobiles to spacecraft, transportation environment, air traffic control, crew resource management; related semester project. Corequisite: 056:240 or 056:241 or consent of instructor.

056:245 Human Factors in Aviation	3 s.h.
Measuring, modeling, and optimizing human visual performance; display design for optimal legibility, research in visibility, legibility, conspicuity, and camouflage; visibility model development. Corequisite: 056:240 or 056:241 or consent of instructor.

056:246 The Design of Virtual Environments	3 s.h.
Development of techniques for designing and creating three-dimensional representations of information for simulation, scientific visualization, and engineering; emphasis on human factors issues, software. Corequisite: 056:240 or consent of instructor.

056:248 Analytical Methods in Human Factors Engineering	3 s.h.
How analytical techniques can be used to analyze human factors data, how techniques complement each other; techniques used across disciplines (e.g., behavioral science, civil and industrial engineering, economics, epidemiology, marketing); case studies; experience designing a survey and using statistical analysis software to analyze survey data. Prerequisites: 22S:039 and 056:144.

Engineering Management

056:054 Engineering Economy	3 s.h.
Basic concepts of engineering economy: time value of money, cash flow equivalence, depreciation, tax considerations, continuous cash flows, cost accounting overview; main analysis techniques--present worth, uniform annual cost, rate of return, benefit/cost ratio, replacement and break-even analysis. Corequisite: 22S:039.

056:056 Leadership in Engineering	1 s.h.
How to balance aspects of college life, explore a personal mission, and set priorities. Prerequisite: consent of instructor.

056:150 Information Systems Design	3 s.h.
Structure and design of computer-based information systems; concepts of information systems, decision making; computer hardware, software, data structures; methods for determining system requirements; designing, implementing, evaluating, managing information systems; applied projects. Prerequisite: 057:017.

056:153 Engineering Administration I	3 s.h.
Current readings, cases in engineering management; methods for organizing, planning, funding, controlling engineering efforts; nature of the engineering and management function. Offered fall semesters. Prerequisite: 056:054.

Quality Control and Production Systems

056:160 Operational Systems Design	4 s.h.
Projects involving the design of products and related operational systems in an industrial or service organization, including associated entrepreneurial or intrapreneurial planning. Offered spring semesters. Prerequisites: 056:054, 056:134, and senior standing.

056:161 Enhanced Design Experience	3 s.h.
Real-world, in-depth design experience in student teams, working with engineers at major companies in the region; application of industrial engineering knowledge and skills to design products and related operational systems. Prerequisite: senior standing.

056:162 Quality Control	3 s.h.
Basic techniques of statistical quality control; application of control charts for process control variables; design of inspection plans and industrial experimentation; modern management aspects of quality assurance systems. Offered fall semesters. Prerequisite: 22S:030 or 22S:039. Same as 22S:133.

056:166 Stochastic Modeling	3 s.h.
Models for design and operation of manufacturing systems; equipment selection, machine layout, group technology, process planning, production planning and scheduling, just-in-time concepts, concurrent engineering, intelligent systems. Offered fall semesters. Prerequisites: 22S:039 and 056:032.

056:268 Reliability Theory and Applications	3 s.h.
Fundamental topics in reliability engineering, including system reliability modeling, statistical inference of lifetime data, basic preventive maintenance models; statistics and random process models, including Poisson processes, renewal processes, Markov processes. Prerequisites: 22M:033, and 22S:039 or equivalent.

Operations Research and Applied Statistics

056:171 Operations Research	3 s.h.
Operations research models and applications emphasizing both deterministic and probabilistic models: linear programming, duality, parametric analysis, dynamic programming, Markov chains, queueing theory. Offered fall semesters. Prerequisites: 22M:033 and 22S:039.

056:176 Applied Linear Regression	3 s.h.
Regression analysis with focus on applications; model formulation, checking, selection; interpretation and presentation of analysis results; simple and multiple linear regression; ANOVA; hands-on data analysis with SAS software. Prerequisite: 22S:030 or 22S:039 or 22S:120 or equivalent. Same as 22S:152.

056:178 Digital Systems Simulation	3 s.h.
Simulation modeling and analysis; emphasis on construction of models, interpretation of modeling results; input and output analysis; modeling discrete, continuous and hybrid systems; construction of model-related databases--hands-on usage of ARENA simulation software, manufacturing, health care, and service applications. Offered spring semesters. Prerequisite: 22S:030 or 22S:039 or graduate standing.

056:181 Internet Systems Design	3 s.h.
The Internet's background; how the net operates and can be used; design of Internet-based systems, programming in an Internet-based environment. Corequisite: 057:017 or consent of instructor.

056:186 Health Informatics I	3 s.h.
Technological tools that support health care administration, management, and decision making. Prerequisite: graduate standing or consent of instructor. Same as 021:275, 050:283, 051:187, 074:191, 096:283, 174:226.

056:270 Linear Programming	3 s.h.
Formulation and solution of linear optimization problems; duality, sensitivity analysis, decomposition methods; simplex and interior algorithms; extensions to semidefinite and second-order cone optimization. Prerequisite: 056:171 or equivalent. Same as 06K:286.

056:271 Nonlinear Optimization	3 s.h.
Mathematical models, theory, algorithms for constrained and unconstrained optimization; nonlinear, geometric, quadratic, dynamic programming; optimality conditions; aspects of duality theory. Prerequisite: 056:171 or equivalent.

056:272 Integer Programming and Network Flows	3 s.h.
Theory, applications, algorithms for combinatorial optimization problems, including integer and mixed-integer mathematical programming problems as well as problems formulated in a network or graph setting, including routing of vehicles, location of facilities in networks and scheduling. Offered fall semesters. Prerequisite: 056:171 or equivalent.

056:273 Stochastic Systems	3 s.h.
Probabilistic operations research models and algorithms, with emphasis on applications in manufacturing and production planning; random processes; Markov chains and applications; probabilistic dynamic programming; Markov decision problems; queueing models. Prerequisites: 056:171 and an introductory course in probability models.

056:274 Stochastic Optimization	3 s.h.
General tools and approaches used in decision making under uncertainties; modeling of uncertainties and risk, changes that uncertainties bring to the decision process, difficulties of incorporating uncertainties into optimization models, common techniques for solving stochastic problems.

056:275 Statistical Pattern Recognition	3 s.h.
Fundamental mathematical tools for multivariate statistical analysis and decision-making processes in pattern recognition. Prerequisites: 22M:033 and 22S:039.

056:287 Health Informatics II	3 s.h.
Journal articles on health informatics topics reviewed in seminar format with several faculty members; student group projects. Prerequisite: 056:186. Same as 021:280, 051:189, 074:192, 096:289.

Graduate Seminars, Advanced Topics, Research

056:191 Graduate Seminar: Industrial Engineering	1 s.h.
Recent advances and research in industrial engineering presented by guest lecturers, faculty, students. Prerequisite: graduate standing.

056:195 Contemporary Topics in Industrial Engineering	arr.
New topics or areas of study not offered in other industrial engineering courses; topics based on faculty/student interest. Prerequisite: senior standing.

056:198 Individual Investigations: Industrial Engineering	arr.
Individual projects for industrial engineering graduate students: laboratory study, engineering design, analysis and simulation of an engineering system, computer software development, research. Prerequisites: graduate standing and consent of advisor.

056:199 Research: Industrial Engineering M.S. Thesis	arr.
Experimental and/or analytical investigation of an approved topic for partial fulfillment of requirements for M.S. with thesis in industrial engineering. Prerequisites: graduate standing and consent of advisor.

056:295 Advanced Topics in Industrial Engineering	arr.
Discussion of current literature in industrial engineering. Prerequisite: consent of instructor.

056:298 Special Topics in Industrial Engineering	arr.
Prerequisite: consent of instructor.

056:299 Research: Industrial Engineering Ph.D. Dissertation	arr.
Experimental and/or analytical investigation of an approved topic for partial fulfillment of requirements for Ph.D. in industrial engineering. Prerequisite: consent of advisor.

Mechanical Engineering

Special Topics

058:000 Cooperative Education Training Assignment: Mechanical Engineering	0 s.h.
Mechanical engineering students participating in the Cooperative Education Program register in this course during work assignment periods; registration provides a record of participation in the program on the student's permanent record. Prerequisites: admission to the Cooperative Education Program and consent of the cooperative education faculty advisor.

058:020 Mechanical Engineering Sophomore Seminar	0 s.h.
Introduction to the mechanical engineering profession and curriculum; ethics and professionalism in classroom and workplace; mentorship program and professional societies; visits to laboratories and local companies. Prerequisite: sophomore or transfer standing.

058:080 Experimental Engineering	4 s.h.
Principles of physical measurements; standards calibration, estimation of error; static and dynamic performance of measuring systems; laboratory experience, experiment planning, report writing. Prerequisite: 057:018. Corequisites: 058:045 and 058:052.

058:086 Mechanical Engineering Design Project	3 s.h.
Application of mechanical, thermal, fluid systems design; student or team design projects initiated at various levels in the design process and carried through to higher levels; emphasis on synthesis, written and oral communication. Corequisite: 058:048 or 058:055.

058:090 Mechanical Engineering First-Year Seminar	0 s.h.
Introduction to the mechanical engineering curriculum, profession; visits to laboratories, industries. Prerequisite: first-year or transfer standing.

058:091 Professional Seminar: Mechanical Engineering	0 s.h.
Professional aspects of mechanical engineering: presentations, student/faculty interaction, professional society involvement, panel discussions, plant trip. Prerequisite: junior standing.

058:098 Individual Investigations: Mechanical Engineering	arr.
Individual projects for mechanical engineering undergraduate students; laboratory study; engineering design project; analysis, synthesis, simulation of an engineering system; computer software development, research. Prerequisite: consent of advisor.

General Topics

058:110 Computer-Aided Engineering	3 s.h.
Computational engineering modeling and simulation, geometric modeling, grid generation, finite-element and finite-volume methods, uncertainty analysis, optimization, engineering applications. Prerequisites: 057:019 and 058:052, or equivalent. Same as 053:115.

058:111 Numerical Calculations	3 s.h.
Development of algorithms for functional approximations, numerical differentiation and integration; solution of algebraic and differential equations, with emphasis on digital computations; initial and boundary value problems. Prerequisite: 22M:034. Same as 053:111.

058:112 Engineering Design Optimization	3 s.h.
Same as 053:112.

058:113 Mathematical Methods in Engineering	3 s.h.
Linear ordinary differential equations, series solutions of differential equations, special functions, Laplace transforms, Fourier series, matrices, linear systems, eigenvalue problems, second-order partial differential equations. Prerequisites: 22M:033 and 22M:034. Same as 052:118, 053:113.

058:115 Finite Element I	3 s.h.
One- and two-dimensional boundary value problems; heat flow, fluid flow, torsion of bars; trusses and frames; isoparametric mapping; higher order elements; elasticity problems; use of commercial software. Prerequisite: 057:019. Same as 053:133.

058:131 Manufacturing Systems	3 s.h.
Manufacturing as systems consisting of computer and microprocessor-based control systems; part design and manufacture using CAD/CAM, Pro/E; technical, quality, and economic trade-offs regarding the design, selection, and implementation of various degrees of computer aiding in manufacturing systems; computer numerical control (CNC) machining, automated material handling, automated assembly, flexible manufacturing systems. Offered spring semesters. Prerequisites: 056:032 and 056:171, or consent of instructor. Same as 056:131.

058:186 Enhanced Design Experience	3 s.h.
Experience working in teams on industry-sponsored design and product development projects scheduled for production; emphasis on practical experience with the complete design process, from conceptualization through prototyping, evaluation, testing, and production; written and oral communication. Prerequisites: 058:086 and consent of instructor.

058:214 Analytical Methods in Mechanical Systems	3 s.h.
Vector and function spaces; functionals and operators in Hilbert spaces; calculus of variations and functional analysis with application to mechanics; Ritz and Galerkin methods. Prerequisite: 058:113. Same as 053:214.

058:215 Finite Element II	3 s.h.
Computer implementation; plate and shell elements; mixed and hybrid formulations; nonlinear analysis; recent development; introduction to boundary element method. Prerequisite: 053:133. Same as 053:233.

Thermal Engineering and Fluids

058:040 Thermodynamics II	3 s.h.
Power and refrigeration cycles; mixtures of gases, psychometric mixtures; availability; thermodynamics of combustion and chemical equilibrium. Prerequisite: 059:009.

058:045 Heat Transfer	3 s.h.
Principles of heat transfer by conduction, convection, radiation; analytical and numerical methods of solution; applications to engineering problems. Prerequisites: 22M:034 and 057:020.

058:048 Energy Systems Design	4 s.h.
Principles and design of energy conversion systems, including solar, wind, and geothermal power systems; design of thermal-fluid system components, modeling and simulation of systems, optimization techniques; design projects. Prerequisites: 058:040 and 058:045.

058:140 Intermediate Thermodynamics	3 s.h.
Thermodynamics principles applied to phase equilibrium; properties of fluids, first and second law, variable composition systems, behavior of real fluids, mathematical techniques for thermodynamics. Prerequisite: 052:103 or 058:040. Same as 052:117.

058:143 Computational Fluid and Thermal Engineering	3 s.h.
Governing equations of fluid flow and heat transfer; basic numerical techniques for solution of the governing equations; estimation of accuracy and stability of the approximations; boundary conditions; grid generation; applications to flows and heat transfer in engineering systems; familiarity with software for analysis and design of thermo-fluids systems. Prerequisite: 058:045.

058:145 Intermediate Heat Transfer	3 s.h.
Steady and unsteady conduction; forced and natural convection; surface and gaseous radiation; condensation and evaporation; analytical and numerical methods and applications. Prerequisite: 058:045.

058:146 Modeling of Materials Processing	3 s.h.
Manufacturing processes for metals, polymers, semiconductors; processing by casting, solidification, crystal growth, polymer molding and extrusion, welding, heat treating, application of optical (laser) and electronmagnetic energy; processes that use momentum, heat, mass transfer principles; measurement and instrumentation for materials processing; current topics in materials processing. Prerequisite: 058:045 or consent of instructor.

058:147 Fuel Cells	3 s.h.
Introduction to fuel cell designs and performance evaluation; thermodynamics, transport phenomena, and reaction fundamentals essential to understanding of the processes and phenomena that pose limits on fuel cell performance. Prerequisites: 058:040 and 058:045.

058:148 Combustion and Propulsion Engineering	3 s.h.
Chemical kinetics, thermodynamic equilibrium, transport equations; thermodynamics of fluid flows; laminar flames; basic gas turbine cycles; propulsion systems--open gas turbine cycles, turboprop, turbofan, turbojet, ramjet; supersonic inlets; nozzle flows; contemporary propulsion concepts. Prerequisite: 058:040 or graduate standing.

058:160 Intermediate Mechanics of Fluids	3 s.h.
Basic concepts and definitions; pressure distribution in a fluid; governing equations and boundary conditions; integral and differential analysis; dimensional analysis and similarity; experimental analysis; laminar and turbulent internal and external flows; potential flows; engineering applications. Prerequisites: 057:020 and 058:040. Same as 053:169.

058:162 Experimental Methods in Fluid Mechanics and Heat Transfer	3 s.h.
Review of theory; importance of experiments; modeling and scaling laws; experimental environment and facilities; measurements at full scale and on scaled models; use of wind and water tunnels, towing tanks, and hydraulic flumes; instruments for measuring pressure, temperature, velocity, turbulence; error analysis; data acquisition and processing; laboratory demonstrations, hands-on experiments; project. Prerequisite: 058:080 or equivalent. Same as 053:172.

058:163 Environmental Fluid Dynamics	3 s.h.
Environmental fluid flows in atmosphere, oceans, lakes, and rivers; contaminant transport; mixing, reaction and particle dispersion processes; application to natural and engineering systems. Prerequisite: 057:020. Same as 053:175.

058:165 Elements of Gas Flows	3 s.h.
Thermodynamics of compressible fluid flow, with applications of continuity, momentum, energy equations; normal and oblique shock waves; Prandtl-Meyer expansion waves; flow with variable and constant area; Fannoflow; compressible flow with and without heat transfer. Prerequisites: 057:020 and 058:040.

058:245 Diffusive Transport	3 s.h.
Diffusive transport of heat, mass, and momentum; phenomenological laws and analogies; analytical and numerical solution techniques; inverse heat conduction; multiphase and multicomponent systems. Prerequisite: 058:145. Same as 052:272.

058:248 Combustion Theory	3 s.h.
Laminar flame theory; turbulent combustion; spray combustion; thermal ignition; pollutant formation, oxidation; combustion diagnostics. Prerequisites: 058:145, 058:160, and graduate standing.

058:260 Viscous Flow	3 s.h.
Equations of viscous flow; classical analytical and numerical solutions; flow regimes and approximations; laminar boundary layers--equations, solution methods, applications; stability theory and transition; incompressible turbulent flow--mean-flow and Reynolds-stress equations, modeling, turbulent boundary layers and free shear flows. Prerequisite: 058:160. Same as 053:276.

058:262 Inviscid Flow	3 s.h.
Derivation of governing equations for fluid flow; general theorems for motion of inviscid, incompressible flows; solution techniques for two- and three-dimensional irrotational flows; forces and moments acting on immersed bodies; inviscid flow with vorticity; inviscid compressible flow; numerical methods for solution of inviscid flows. Prerequisite: 058:160. Same as 053:277.

058:264 Vortex Dynamics	3 s.h.
Dynamics of vorticity transport in incompressible flows; vortex patches, sheets, rings; vortex filament models; viscous vortex flows; vorticity-based computational methods; vortex reconnection, breakdown; applications to wake flows, turbulent coherent structures and aerodynamics. Prerequisite: 058:262.

058:266 Interfacial Flows and Transport Processes	3 s.h.
Physics of fluid interfaces and numerical techniques to simulate interface dynamics; interfacial flow coupled with thermal-fluid transport, from molecular interactions to continuum approximations; development of computer code segments to track and represent interface-flow interactions. Prerequisites: 058:145 and 058:160.

058:267 Multiphase Flow and Transport	3 s.h.
Thermodynamic and mechanical aspects of interfacial phenomena and phase transitions; nucleation, phase-change, species transport, particulate flows, liquid-vapor systems, solidification, porous media. Prerequisites: 058:145 and 058:160.

058:268 Turbulent Flows	3 s.h.
Origin; need for modeling, averages, Reynolds equations, statistical description; experimental methods and analysis; turbulence modeling; free shear layers and boundary layers; complex shearflows; development of computational strategies; recent literature on theory and applications, chaos phenomena. Prerequisite: 058:160.

058:269 Computational Fluid Dynamics and Heat Transfer	3 s.h.
Development of numerical and algebraic approximations for elliptic, parabolic, hyperbolic partial differential equations; finite-volume, spectral, pseudo-spectral, Galerkin techniques; stability of numerical methods; CFL condition; stiff problems; adaptive grid generation and boundary-fitted coordinates; numerical solutions for one- and two-dimensional compressible and incompressible fluid flow and heat transfer problems. Prerequisites: 058:111, 058:160, and graduate standing.

058:296 Advanced Topics in Thermal and Fluid Engineering	arr.
Thermodynamics, fluid mechanics, heat and mass transfer, related experimental and analytical techniques; selection of subject and content determined by instructor/student interest. Prerequisite: graduate standing.

Mechanical Systems

058:032 Design for Manufacturing	3 s.h.
Fundamentals of design, engineering graphics, and manufacturing processing; computer graphics using Pro/ENGINEER for CAD and CAM; typical industrial processes, including casting, welding, machining, forming; laboratory exercises and projects. Same as 051:062, 056:032.

058:052 Mechanical Systems	3 s.h.
Topics in stress, deflection, stiffness, statistics, reliability, material behavior, manufacturing processes, static and variable loads, fatigue strength in design analysis of mechanical systems; introduction to finite element analysis using established software. Prerequisite: 057:019. Corequisites: 22S:039, 057:015, and 058:032.

058:055 Mechanical Systems Design	4 s.h.
Design considerations for mechanical engineering systems; strength, deformation, durability of mechanical elements; safe-life, fail-safe, damage-tolerant design; standards, products liability, ethics in design; data-acquisition/life-prediction experiment. Prerequisite: 058:052.

058:133 Control Theory	3 s.h.
State space approach; controllability, observability, canonical forms, Luenberger observers, feedback control via pole placement, stability, minimal realization and optimal control. Prerequisite: 055:060. Same as 055:160.

058:134 Computer-Based Control Systems	3 s.h.
Discrete and digital control systems; application of computers in control, sampling theorem, discrete time system models, analysis and design of discrete time systems, parameter estimation, examples of optimal and adaptive controls; lab arranged. Prerequisite: 055:060. Same as 055:164.

058:136 Digital Human Modeling and Simulation	3 s.h.
Same as 051:162.

058:150 Intermediate Mechanics of Deformable Bodies	3 s.h.
Application of equilibrium analyses, strain-displacement relations, and constitutive relationships to practical structural systems and elementary plane elasticity problems. Prerequisite: 057:019. Same as 051:151, 053:140.

058:152 Vehicle Dynamics and Simulation	3 s.h.
Vehicle dynamic response; suspension, steering, braking, and powertrain system design; computer-aided system simulation; tire modeling; acceleration and steady-state turning performance. Prerequisite: 057:010.

058:153 Fundamentals of Vibrations	3 s.h.
Vibration of linear discrete and continuous mechanical and structural systems; harmonic, periodic, and arbitrary excitation; modal analysis; applications. Prerequisite: 057:019. Same as 053:132.

058:154 Intermediate Kinematics and Dynamics	3 s.h.
Kinematic and dynamic analysis of unconstrained and constrained planar mechanical systems; computational kinematics, variational and Lagrangian dynamics, constrained dynamics. Prerequisite: 057:010. Corequisite: 058:052.

058:156 Mechanics of Robotics	3 s.h.
Introduction to robot components, types, power systems, mechanics, and control; homogeneous transformations, Denavit-Hartenberg formulation for serial kinematic chains, direct and inverse kinematics of serial manipulators, differential rotations and translations, manipulator Jacobian and inverse Jacobian, trajectory planning, position and force control of manipulators. Prerequisites: 22M:034, 057:010, and consent of instructor.

058:158 Fatigue/Durability in Design	3 s.h.
Macro- and micromechanisms of fatigue behavior, design of engineering materials/components/structures subjected to cyclic loading, emphasis on metals; stress-life, strain-life, linear elastic fracture mechanics approach to fatigue crack growth; safe-life, fail-safe, damage tolerant design; constant and variable amplitude life predictions; notches, residual stress, corrosion, temperature, multiaxial, weldments. Prerequisite: 051:085 or 058:055 or 058:150 or equivalent. Same as 053:148.

058:159 Fracture Mechanics	3 s.h.
3-D stress states, definition and criteria for failure, nominal and local yield phenomena, linear elastic and elastic plastic fracture mechanics, plane stress and plane strain fracture toughness, J-Integral, crack opening displacement, environmental assisted cracking, fatigue crack growth, fail safe, and damage tolerant design. Prerequisite: 051:085 or 058:055 or 058:150 or equivalent. Same as 053:149.

058:250 Advanced Fracture Mechanics	3 s.h.
Fracture of modern engineering materials; linear-elastic fracture; computational methods; functionally graded materials; elastic-plastic fracture; multiscale fracture and fatigue crack initiation. Prerequisites: 058:113, 058:115, and 058:159. Same as 053:250.

058:251 Computational Inelasticity	3 s.h.
Computational techniques and implementations for elastic, hyperelastic, elasto-plastic, visco-elastic, and visco-plastic material models; development of sound numerical integration algorithms from rate constitutive equations. Prerequisite: 053:241. Same as 053:243.

058:252 Advanced Continuum Mechanics	3 s.h.
Continuum mechanics of fluids and solids, balance laws, invariance restrictions, continuum thermodynamics, constraint theory, mixtures, materials with microstructure. Prerequisite: 058:262 or 058:279. Same as 053:247.

058:253 Computational Methods in Dynamics	3 s.h.
Computational methods for three-dimensional multirigid body systems; spatial kinematics and dynamics; constrained and recursive dynamics for closed-loop multi-chain systems. Prerequisite: 058:154.

058:254 Energy Principles in Structural Mechanics	3 s.h.
Principles of virtual work; stationary and minimum potential energy; calculus of variations; Ritz method, Galerkin's method; beams, plates; Hamilton's principle; elastic stability; extremum principle of plasticity. Prerequisites: 058:113 and 058:150. Same as 053:244.

058:255 Multiscale Modeling	3 s.h.
Computational modeling of engineering materials ranging from molecular to continuum scales, molecular dynamics and Monte Carlo methods, nanoscale continuum modeling, scale-coupling methods. Prerequisite: 058:115 or 058:143. Same as 053:249.

058:256 Computational Solid Mechanics	3 s.h.
Advanced computational methods for nonlinear and dynamic analysis of solids, structures; new space and time discretization methods for problems including highly nonlinearities, large deformation, contact/impact conditions. Prerequisites: 058:113 and 058:115, or equivalents.

058:257 Probabilistic Mechanics and Reliability	3 s.h.
Stochastic and reliability analysis of mechanical systems; computational methods for structural reliability; random eigenvalue problem; random field and stochastic finite element methods. Prerequisites: 058:113 and 058:115.

058:258 Continuum Mechanics and Plasticity	3 s.h.
Finite strain measures and rate of deformation; principles of isotropy and material indifference; constitutive equations of elastic and inelastic materials; internal variable theory of thermodynamics; endochronic theory of plasticity. Same as 053:246.

058:259 Mechanical Design in Structures	3 s.h.
Discrete and continuum variational equilibrium equations, discrete design sensitivity analysis for static responses and eigenvalues, interactive design workstation, continuum sizing design sensitivity analysis for static responses and eigenvalues, design sensitivity analysis of structural dynamics, differentiability theory, shape optimal design, shape design sensitivity analysis, design sensitivity of nonlinear structural systems. Prerequisites: 058:113, 058:115, and 058:150.

058:270 Micromechanics of Solids	3 s.h.
Local micromechanics and Eshelby's inclusion theory; homogenization procedures of heterogeneous materials; effective elastic, visco-elastic, and plastic behavior of composites; micromechanics of other advanced materials; computational micromechanics. Prerequisite: 053:241 or 058:279. Same as 053:245.

058:271 Elastic Waves in Solids	3 s.h.
Same as 051:248, 053:248.

058:279 Continuum Mechanics and Elasticity	3 s.h.
Cartesian tensors and geometrical foundations; concept of stress, strain, motion; fundamental physical laws; constitutive equations and finite elasticity; equations of linear elasticity, elastic extension, torsion and bending of bars. Prerequisite: 057:019. Corequisite: 058:113 or graduate standing. Same as 053:241.

058:295 Advanced Topics in Mechanical Systems	3 s.h.
Advanced contemporary topics in mechanical systems engineering not covered in other courses and determined by student/faculty interest.

Graduate Seminars, Advanced Topics, Research

058:191 Graduate Seminar: Mechanical Engineering	0 s.h.
Presentation and discussion of recent advances and research in mechanical engineering by guest lecturers, faculty, students. Prerequisite: graduate standing.

058:195 Contemporary Topics in Mechanical Engineering	arr.
New topics in fluid and thermal sciences and mechanical systems not covered in other courses; topic and coverage determined by student/faculty interest. Prerequisite: junior standing.

058:198 Individual Investigations: Mechanical Engineering	arr.
Individual project in mechanical engineering, for department graduate students; laboratory study, engineering design project, analysis and simulation of an engineering system, computer software development, research. Prerequisites: graduate standing and consent of advisor.

058:199 Research: Mechanical Engineering M.S. Thesis	arr.
Experimental and/or analytical investigation of an approved topic for partial fulfillment of requirements for M.S. with thesis in mechanical engineering. Prerequisites: graduate standing and consent of advisor.

058:299 Research: Mechanical Engineering Ph.D. Dissertation	arr.
Experimental and/or analytical investigation of an approved topic for partial fulfillment of requirements for Ph.D. in mechanical engineering. Prerequisite: consent of advisor.

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