Mechanical Engineering & Materials Science - 2017-18...

Bul le t in 2017-18Mechanica l Engineer ing & Mater ia ls Sc ience(03 /10 /18)

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MechanicalEngineering &Materials ScienceThe Department of Mechanical Engineering & Materials Scienceoffers a PhD and DSc in either Mechanical Engineeringor Aerospace Engineering along with a DSc in MaterialsScience. The department's research strengths includebiomechanics, materials, energy, fluid mechanics, and rotary-wing aerodynamics. The doctoral student works in conjunctionwith their adviser in designing the program of study and researchproject. The dissertation is defended at the end of the researcheffort. A typical time to PhD after an undergraduate engineeringdegree is four to five years, but the length of program may vary,depending on the individual and the area of study.

The Department of Mechanical Engineering & Materials Scienceoffers an MS degree in either Mechanical Engineering,Aerospace Engineering, or Materials Science andEngineering. The department also offers a Master ofEngineering in Mechanical Engineering for those comingfrom fields closely related to mechanical engineering. The MSdegrees can be done either as a course option or a thesis option.For the thesis option, the student will work closely with a facultyadviser on the thesis project. Typical time for an MS or MEngdegree is one and one-half to two years, with the thesis optionusually taking longer than the course option.

Contact for the PhD program: Prof. Jessica Wagenseil,[email protected]

Contact for the MS and DSc programs: Prof. David Peters,[email protected]

Website: https://mems.wustl.edu/graduate/programs

FacultyChairPhilip V. Bayly (https://engineering.wustl.edu/Profiles/Pages/Philip-Bayly.aspx)Lilyan and E. Lisle Hughes Professor of Mechanical EngineeringPhD, Duke UniversityNonlinear dynamics, vibrations, biomechanics

Associate ChairsKatharine M. Flores (Materials Science) (https://engineering.wustl.edu/Profiles/Pages/Kathy-Flores.aspx)PhD, Stanford UniversityMechanical behavior of structural materials

David A. Peters (Mechanical Engineering) (https://mems.wustl.edu/faculty/Pages/default.aspx?bio=92)McDonnell Douglas Professor of EngineeringPhD, Stanford UniversityAeroelasticity, vibrations, helicopter dynamics

Endowed ProfessorsRamesh K. Agarwal (https://engineering.wustl.edu/Profiles/Pages/Ramesh-Agarwal.aspx)William Palm Professor of EngineeringPhD, Stanford UniversityComputational fluid dynamics and computational physics

Mark J. Jakiela (https://engineering.wustl.edu/Profiles/Pages/Mark-Jakiela.aspx)Lee Hunter Professor of Mechanical DesignPhD, University of MichiganMechanical design, design for manufacturing, optimization,evolutionary computation

Shankar M.L. Sastry (https://engineering.wustl.edu/Profiles/Pages/Shankar-Sastry.aspx)Christopher I. Byrnes Professor of EngineeringPhD, University of TorontoMaterials science, physical metallurgy

ProfessorGuy M. Genin (https://engineering.wustl.edu/Profiles/Pages/Guy-Genin.aspx)PhD, Harvard UniversitySolid mechanics, fracture mechanics

Associate ProfessorsSrikanth Singamaneni (https://engineering.wustl.edu/Profiles/Pages/Srikanth-Singamaneni.aspx)PhD, Georgia Institute of TechnologyMicrostructures of cross-linked polymers

Jessica E. Wagenseil (https://engineering.wustl.edu/Profiles/Pages/Jessica-Wagenseil.aspx)DSc, Washington UniversityArterial biomechanics

Assistant ProfessorsDamena D. Agonafer (https://mems.wustl.edu/faculty/Pages/default.aspx?bio=110)PhD, University of Illinois at Urbana-ChampaignComputational fluid dynamics and computational physics

Parag Banerjee (https://engineering.wustl.edu/Profiles/Pages/Parag-Banerjee.aspx)PhD, University of MarylandMaterials sciences and engineering, nanostructured materials,materials synthesis, and novel devices for storing and harvestingenergy


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Spencer P. Lake (https://engineering.wustl.edu/Profiles/Pages/Spencer-Lake.aspx)PhD, University of PennsylvaniaSoft tissue biomechanics

J. Mark Meacham (https://engineering.wustl.edu/Profiles/Pages/Mark-Meacham.aspx)PhD, Georgia Institute of TechnologyMicro-/Nanotechnologies for thermal systems and the lifesciences

Rohan Mishra (https://engineering.wustl.edu/Profiles/Pages/Rohan-Mishra.aspx)PhD, Ohio State UniversityComputational materials science

Amit Pathak (https://engineering.wustl.edu/Profiles/Pages/Amit-Pathak.aspx)PhD, University of California, Santa BarbaraCellular biomechanics

Patricia B. Weisensee (https://mems.wustl.edu/faculty/Pages/default.aspx?bio=112)PhD, University of Illinois at Urbana-ChampaignThermal fluids

Professors of the PracticeHarold J. Brandon (https://mems.wustl.edu/faculty/Pages/Harold-Brandon.aspx)DSc, Washington UniversityEnergetics, thermal systems

Swami Karunamoorthy (https://mems.wustl.edu/faculty/Pages/Swami-Karunamoorthy.aspx)DSc, Washington UniversityHelicopter dynamics, engineering education

Joint FacultyRichard L. Axelbaum (EECE) (https://engineering.wustl.edu/Profiles/Pages/Richard-Axelbaum.aspx)The Stifel & Quinette Jens Professor of EnvironmentalEngineering SciencePhD, University of California, DavisCombustion, nanomaterials

Elliot L. Elson (Biochemistry and Molecular Biophysics)(http://bmbweb.wustl.edu/faculty/faculty/elliot-elson)Professor Emeritus of Biochemistry & Molecular BiophysicsPhD, Stanford UniversityBiochemistry and molecular biophysics

Michael D. Harris (Physical Therapy, Orthopaedic Surgeryand MEMS) (https://pt.wustl.edu/faculty-staff/faculty/mike-harris-phd)PhD, University of UtahWhole body and joint-level orthopaedic biomechanics

Kenneth F. Kelton (Physics) (http://www.physics.wustl.edu/people/kelton_kenneth-f)Arthur Holly Compton Professor of Arts & SciencesPhD, Harvard UniversityStudy and production of titanium-based quasicrystals and relatedphases

Eric C. Leuthardt (Neurological Surgery and BME) (http://www.neurosurgery.wustl.edu/patient-care/find-a-physician/clinical-faculty/eric-c-leuthardt-md-250)MD, University of Pennsylvania School of MedicineNeurological surgery

Lori Setton (BME) (https://bme.wustl.edu/faculty/Pages/faculty.aspx?bio=105)Lucy and Stanley Lopata Distinguished Professor of BiomedicalEngineeringPhD, Columbia UniversityBiomechanics for local drug delivery: tissue regenerationsspecific to the knee joints and spine

Matthew J. Silva (Orthopaedic Surgery) (http://www.orthoresearch.wustl.edu/content/Laboratories/2963/Matthew-Silva/Silva-Lab/Overview.aspx)Julia and Walter R. Peterson Orthopaedic Research ProfessorPhD, Massachusetts Institute of TechnologyBiomechanics of age-related fractures and osteoporosis

Simon Tang (Orthopaedic Surgery, BME) (http://www.orthoresearch.wustl.edu/content/Laboratories/3043/Simon-Tang/Tang-Lab/Overview.aspx)PhD, Rensselaer Polytechnic InstituteBiological mechanisms

Senior ProfessorsPhillip L. GouldPhD, Northwestern UniversityStructural analysis and design, shell analysis and design,biomechanical engineering

Kenneth L. JerinaDSc, Washington UniversityMaterials, design, solid mechanics, fatigue and fracture

Salvatore P. SuteraPhD, California Institute of TechnologyViscous flow, biorheology

Barna A. SzaboPhD, State University of New York–BuffaloNumerical simulation of mechanical systems, finite-elementmethods

LecturersEmily J. BoydPhD, University of Texas at AustinThermofluids


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J. Jackson PotterPhD, Georgia Institute of TechnologySenior design

H. Shaun SellersPhD, Johns Hopkins UniversityMechanics and materials

Louis G. WoodhamsBS, University of Missouri-St. LouisComputer-aided design

Senior Research AssociateRuth J. OkamotoDSc, Washington UniversityBiomechanics, solid mechanics

Research Assistant ProfessorAnupriya AgrawalPhD, Ohio State UniversityMaterials science

Adjunct InstructorsRicardo L. ActisDSc, Washington UniversityFinite element analysis, numerical simulation, aircraft structures

Robert G. BecnelMS, Washington UniversityFE Review

John D. BiggsMEng, Washington UniversityThermal science

Andrew W. CaryPhD, University of MichiganComputational fluid dynamics

Dan E. DriemeyerPhD, University of IllinoisThermoscience

Richard S. DyerPhD, Washington UniversityPropulsion, thermodynamics, fluids

John M. GriffithBS, Washington UniversityManufacturing

Hanford GrossBS, Washington UniversityEngineering project management

Jason HawksMS, Washington UniversityStructural analysis

Richard R. JanisMS, Washington UniversityBuilding environmental systems

Rigoberto PerezPhD, Purdue UniversityFatigue and fracture

Dale M. PittDSc, Washington UniversityAeroelasticity

Gary D. RenieriPhD, Virginia Polytechnic Institute and State UniversityStructural applications, composite materials

Hiroshi TadaPhD, Lehigh UniversitySolid mechanics

Matthew J. WatkinsMS, Washington UniversityFinite elements

Michael C. WendlDSc, Washington UniversityMathematical theory and computational methods in biology andengineering

Laboratory and Design SpecialistMary K. MalastDSc, Washington UniversityMaterials science

Professor EmeritusWallace B. Diboll Jr.MSME, Rensselaer Polytechnic InstituteDynamics, vibrations, engineering design

Degree RequirementsPlease refer to the following sections for information about:

• Doctoral Degrees (p. 3)

• MS in Mechanical Engineering (p. 4)

• MS in Aerospace Engineering (p. 5)

• MS in Materials Science and Engineering (p. 5)

• MEng in Mechanical Engineering (p. 6)

PhD in Mechanical Engineering orAerospace EngineeringPolicies & RegulationsA key objective of the doctoral program is to promote cutting-edge multidisciplinary research and education in the areasof mechanical engineering and materials science. Studentsare selected for admission to the program by a competitive


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process, and they typically start in the fall semester. On arrivingat Washington University in St. Louis, the student will be advisedby the temporary adviser on all procedural issues. The studentwill choose a permanent adviser by the end of the first year ofresidency in the program.

The following is a brief summary of therequirements for doctoral students:1. Pass the qualifying exams. Qualifying exams should be

taken by the end of the third semester.

2. Prepare and defend a research proposal. The researchproposal should be defended by the end of the fifthsemester.

3. Write and successfully defend the doctoral dissertation.

4. Complete a minimum of 36 hours of course credit, anda minimum of 24 credits of doctoral research; total of 72credits to earn the PhD degree.

5. Satisfy the applicable teaching requirements of the GraduateSchool.

Degrees OfferedThe Department of Mechanical Engineering & Materials Science(MEMS) offers the following doctoral degrees:

• PhD in Mechanical Engineering

• PhD in Aerospace Engineering

• DSc in Mechanical Engineering, Aerospace Engineering, orMaterials Science

The Doctor of Science (DSc) has similar requirementsto the PhD but without the teaching requirement. Fora list of differences, please refer to the DSc and PhDComparison (PDF) (https://mems.wustl.edu/graduate/programs/Documents/DoctoralComparisonSection.pdf).

• One may also pursue a PhD in Materials Science —through the Institute of Materials Science & Engineering(IMSE) — but work with professors from the Department ofMechanical Engineering & Materials Science. For detailson this program, visit the IMSE Graduate Program (http://imse.wustl.edu/program) webpage.

For more information on MEMS PhD degrees, visit the MEMSGraduate Degree Programs (https://mems.wustl.edu/graduate/programs/Pages/default.aspx) webpage.

MS in Mechanical Engineering(MSME)Master of Science in MechanicalEngineering Thesis OptionThe quantitative requirement for the degree is 30 credit hours.A minimum of 24 of these units must be course work, and aminimum of 6 units must be Master's Research (MEMS 599).

The overall grade-point average must be 2.70 or better.

Courses may be chosen from 400- and 500-level offerings. Allmust be engineering, math or science courses with the followingrestrictions:

• A maximum of 3 units of Independent Study (MEMS 500) areallowed.

• A maximum of 6 units of 400-level courses are allowed,and these must be from courses not required for the BSMEdegree (if counted for the MSAE) or not required for theBSAE degree (if counted for the MSME degree) with theexception of MEMS 4301 Modeling, Simulation and Control,which can count toward the MS.

• Each course must be approved by the candidate's thesisadviser.

• A maximum of 6 units of transfer credit is allowed for coursestaken at other graduate institutions, and these must havebeen taken with grade B or better.

• A minimum of 15 units of the total 30 units must be in MEMScourses.

The student must also write a satisfactory thesis andsuccessfully defend it in an oral examination before a facultycommittee consisting of at least three members, at least two ofwhich are from the Department of Mechanical Engineering &Materials Science.

Full-time MS students in any area are required every semesterto take MEMS 501 Graduate Seminar, which is a zero-unit, pass-fail course.

Master of Science in MechanicalEngineering Course OptionThe quantitative requirement for the degree is 30 credit hours(normally 10 courses) completed with a grade-point average of2.70 or better.

Course programs may be composed from one area ofspecialization below (MSME) or in aerospace engineering(MSAE). They must conform to the following distribution:

Applied Mathematics 6 credits

Area of Specialization 15 credits

Electives 9 credits

Elective courses may be chosen in any area of engineeringor mathematics at the 400 level or higher. Of the 30 units, aminimum of 24 must be in 500-level courses. No more than6 units may be in 400-level courses; but core requirementsfor the ME undergraduate degree are not allowed with theexception of MEMS 4301 which is allowed. A maximum of 3credits of Independent Study, MEMS 400 or MEMS 500, may beused as an elective. A minimum of 15 units must be in MEMS.Non-engineering courses (such as T-courses or finance andentrepreneurship) cannot be counted. Full-time MS students


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in any area are required every semester to take MEMS 501Graduate Seminar, which is a zero-unit, pass-fail course.

Degree candidates will plan their course programs with the helpof a departmental adviser. Use the links below to find courses inthe areas of specialization.

Engineering Areas of Specialization forthe MS in Mechanical Engineering

• Applied Mechanics (https://mems.wustl.edu/graduate/programs/Pages/MS-in-Mechanical-Engineering.aspx)

• Dynamics/Mechanical Design (https://mems.wustl.edu/graduate/programs/Pages/MS-in-Mechanical-Engineering.aspx)

• Solid Mechanics/Materials Science (https://mems.wustl.edu/graduate/programs/Pages/MS-in-Mechanical-Engineering.aspx)

• Fluid/Thermal Sciences (https://mems.wustl.edu/graduate/programs/Pages/MS-in-Mechanical-Engineering.aspx)

• Energy Conversion and Efficiency (https://mems.wustl.edu/graduate/programs/Pages/specialized-tracks.aspx)

• Numerical Simulation in Solid Mechanics (https://mems.wustl.edu/graduate/programs/Pages/specialized-tracks.aspx)

MS in Aerospace Engineering(MSAE)Master of Science in AerospaceEngineering Thesis OptionThe quantitative requirement for the degree is 30 credit hours.A minimum of 24 of these units must be course work, and aminimum of 6 units must be Master's Research (MEMS 599).


Courses may be chosen from 400- and 500-level offerings. Allmust be engineering, math or science courses with the followingrestrictions:


• A maximum of 6 units of 400-level courses are allowed,and these must be from courses not required for the BSMEdegree (if counted for the MSAE) or not required for theBSAE degree (if counted for the MSME degree) with theexception of MEMS 4301 which is allowed.






Master of Science in AerospaceEngineering Course OptionThe quantitative requirement for the degree is 30 credit hours(normally 10 courses) completed with a grade-point average of2.70 or better.

Course programs must be focused in the area of aerospaceengineering. They must conform to the following distribution:

Applied Mathematics 6 credits

Aerospace 15 credits

Electives 9 credits

Elective courses may be used to accumulate additional creditsin other areas of engineering or in mathematics. A maximum of3 credits of Independent Study (MEMS 500) may be included asan elective course. A maximum of 6 units of 400-level courses(not required for a MEMS undergraduate degree) with theexception of MEMS 4301 may also be included. Non-engineeringcourses (such as T-courses or finance and entrepreneurship)cannot be counted as engineering electives. A minimum of 15units must be in MEMS.

Full-time MS students are required to take MEMS 501 GraduateSeminar, which is a zero-unit, pass-fail course.

Degree candidates will plan their course programs with the helpof a departmental adviser.

MS in Materials Science andEngineeringMaster of Science in Materials Scienceand Engineering Thesis OptionThe quantitative requirement for the degree is 30 credit hours.A minimum of 24 of these units must be course work, and aminimum of 6 units must be Master's Research (MEMS 599).


Courses are to be Engineering courses at the 500 level orabove, or Chemistry or Physics courses at the 400 level orabove, and course work must include 3 units (one course) ofmathematics at the graduate level. The following restrictionsapply:



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• A maximum of 6 units of 400-level courses are allowed.






Master of Science in Materials Scienceand Engineering Course OptionThe quantitative requirement for the degree is 30 credit hours(normally 10 courses) completed with a grade point averageof 2.70 or better. Full-time MS students are required to takeMEMS 501 Graduate Seminar every semester, which is a zero-unit, pass-fail course.

Course work must include 18 units of materials science courses(six courses) with at least one course from each of the followingfour areas as well as 3 units (one course) of mathematicsat the graduate level. An approved list of courses in thefollowing four areas can be found on the MEMS website (https://mems.wustl.edu/graduate/programs/Pages/MS-in-Materials-Science-Engineering.aspx) under graduate MS programs inmaterials science and engineering.

(A) Structure(B) Characterization(C) Properties(D) Synthesis and Processing

The remaining 9 units (three courses) are electives and may bechosen according to the general criteria above, as long as theycontribute to a coherent program of study in materials science.

MEng in Mechanical EngineeringMaster of Engineering in MechanicalEngineeringThe Master of Engineering in Mechanical Engineering (MEng inME) is a one- to two-year program offered by the Departmentof Mechanical Engineering & Materials Science of WashingtonUniversity in St. Louis. The program is especially tailored for:1) individuals who plan to change careers and enter the MEprofession; 2) international students seeking to establish U.S.credentials in the ME profession; and 3) current professionals

working in mechanical engineering who wish to advance theirskills and education. A distinctive feature of the program is theability to customize the course content to meet specific individualneeds.

Degree requirements are as follows:

Candidates for admission should have an undergraduate degreein engineering, the physical sciences or mathematics with a GPAof 2.75 or better.

It should be emphasized that, in many states, the MEng in MEwill not be sufficient to qualify the degree recipient to sit for aProfessional Engineering Exam.

• 30 units of credit in engineering or mathematics coursesare required, and these must be at the 400 level or higher.Courses from the other engineering departments (CSE,EECE, ESE and BME) are encouraged. WashingtonUniversity Continuing Education Courses (i.e., the T-coursesor the U-courses) are not permitted.

• All courses must be taken for a grade, with an overall GPA of2.70 or higher.

• At least 9 of the 30 units must be in MEMS courses at the500 level. Allowed courses include Engineering ProjectManagement (MEMS 5804).

• All 400-level courses must be either: 1) approved for theMaster of Science Degree in ME or AE; or 2) approved bythe MEMS faculty for application to the MEng degree.

• No more than 6 units of Independent Study are allowed.

• No more than 6 units may be transferred from anotheruniversity, and these units must be in engineering or mathcourses at the 400 level or above, with a grade of B orbetter, and be courses not required for the candidate's BSdegree.


CoursesVisit online course listings to view semester offerings forE37 MEMS (https://courses.wustl.edu/CourseInfo.aspx?sch=E&dept=E37&crslvl=5:8).

E37 MEMS 500 Independent StudyIndependent investigation on topic of special interest.Prerequisites: graduate standing and permission of thedepartment chair. Students must complete the IndependentStudy Approval Form available in the department office.Credit variable, maximum 6 units.

E37 MEMS 5001 Optimization Methods in EngineeringAnalytical methods in design. Topics include: mathematicalmethods; linear and nonlinear programming; optimalitycriteria; fully stressed techniques for the design of structuresand machine components; topological optimization; search


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techniques; and genetic algorithms. Prerequisites: calculus andcomputer programming.Credit 3 units. EN: TU

E37 MEMS 501 Graduate SeminarThis is a required pass/fail course for master's and doctoraldegrees. A passing grade is required for each semester of full-time enrollment. A passing grade is received by attendance atthe weekly seminars.

E37 MEMS 5101 Analysis and Design of Fluid-PowerSystemsDesign of hydraulic and pneumatic control and power systemsusing advanced concepts and analytical tools. Topics include:analysis of fluid flow through orifices and between paralleland inclined planes, theory of spool and flapper valves,feasibility, synthesis, analysis and applications of fluid systems,configuration of pumps, motors, fluid lines and valves,accumulators and storage devices, integration of componentsinto systems, power systems, servo-systems, hydrostatictransmissions, performance diagrams using MATLAB andSimulink, design and analysis of fluid power systems.Credit 3 units. EN: TU

E37 MEMS 5102 Materials Selection in DesignAnalysis of the scientific bases of material behavior in the lightof research contributions of the past 20 years. Development ofa rational approach to the selection of materials to meet a widerange of design requirements for conventional and advancedapplications. Although emphasis is placed on mechanicalproperties, acoustical, optical, thermal and other properties ofinterest in design are discussed.Credit 3 units. EN: TU

E37 MEMS 5104 CAE-Driven Mechanical DesignAn introduction to the use of computer-aided engineering(CAE) tools in the mechanical design process. Topics include:integrating engineering analysis throughout the process;multidisciplinary optimization; and computer-aided designdirected toward new manufacturing processes. Studentswill work with commercial and research software systems tocomplete several projects. Students should have experience andfamiliarity with a CAD tool, optimization and the finite elementmethod. Prerequisite: MEMS 202 Computer-Aided Design orequivalent.Credit 3 units. EN: TU

E37 MEMS 5301 Nonlinear VibrationsIn this course, students are introduced to concepts in nonlineardynamics and vibration and application of these conceptsto nonlinear engineering problems. Specific topics include:modeling of lumped and continuous nonlinear systems (strings,beams and plates); vibrations of buckled structures; perturbationand other approximate analytical methods; the use andlimitations of local linearization; properties of nonlinear behavior,such as dimension and Lyapunov exponents; stability of limitcycles; bifurcations; chaos and chaotic vibrations; experimentalmethods and data analysis for nonlinear systems. Concepts arereinforced with a number of examples from recently publishedresearch. Applications include aeroelastic flutter, impactdynamics, machine-tool vibrations, cardiac arhythmias andcontrol of chaotic behavior.Credit 3 units. EN: TU

E37 MEMS 5302 Theory of VibrationsAnalytical methods in vibrations. Topics include: Duhamel'sintegral, Laplace and Fourier transforms and Fourier serieswith applications to transient response, forced response andvibration isolation; Lagrange's equations for linear systems,discrete systems, degrees of freedom, reducible coordinates,holonomic constraints and virtual work; matrix methods and statevariable approach with applications to frequencies and modes,stability and dynamic response in terms of real and complexmodal expansions, dynamic response of continuous systemsby theory of partial differential equations, Rayleigh-Ritz andGalerkin energy methods, finite difference and finite elementalgorithms.Credit 3 units. EN: TU

E37 MEMS 5401 General ThermodynamicsGeneral foundations of thermodynamics valid for small and largesystems, and for equilibrium and nonequilibrium states. Topicsinclude: definitions of state, work, energy, entropy, temperature,heat interaction and energy interaction. Applications to simplesystems; phase rule; perfect and semi-perfect gas; bulk-flow systems; combustion, energy and entropy balances;availability analysis for thermo-mechanical power generation;and innovative energy-conversion schemes. Prerequisite:graduate standing or permission of instructor.Credit 3 units. EN: TU

E37 MEMS 5402 Radiation Heat TransferFormulation of the governing equations of radiation heat transfer.Topics include: electromagnetic theory of radiation; properties ofideal and real surfaces; techniques for solutions of heat transferbetween gray surfaces; radiation in absorbing, emitting andscattering media.Credit 3 units. EN: TU

E37 MEMS 5403 Conduction and Convection Heat TransferThis course examines heat conduction and convection throughvarious fundamental problems that are constructed fromthe traditional conservation laws for mass, momentum andenergy. Problems include the variable-area fin, the unsteadyDirichlet, Robbins and Rayleigh problems, multidimensionalsteady conduction, the Couette flow problem, duct convectionand boundary layer convection. Though some numericsare discussed, emphasis is on mathematical technique andincludes the extended power series method, similarity reduction,separation of variables, integral transforms, and approximateintegral methods.Credit 3 units. EN: TU

E37 MEMS 5404 Combustion PhenomenaIntroduction to fundamental aspects of combustion phenomenaincluding relevant thermochemistry, fluid mechanics, andtransport processes. Emphasis is on elucidation of the physico-chemical processes, problem formulation, and analyticaltechniques. Topics covered include ignition, extinction, diffusionflames, particle combustion, deflagrations and detonations.Prerequisites: graduate standing or permission of instructor.(Prior to FL2015, this course was numbered: E33 5404.)Same as E44 EECE 512Credit 3 units. EN: TU


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E37 MEMS 5410 Fluid Dynamics IFormulation of the basic concepts and equations governinga Newtonian, viscous, conducting, compressible fluid. Topicsinclude: transport coefficients and the elements of kinetictheory of gases, vorticity, incompressible potential flow; singularsolutions; flow over bodies and lifting surfaces; similarity method;viscous flow, boundary layer, low Reynolds number flows,laminar and turbulent flows.Credit 3 units. EN: TU

E37 MEMS 5411 Fluid Dynamics IIGoverning equations and thermodynamics relations forcompressible flow. Topics include: kinetic theory of gases;steady, one-dimensional flows with friction and heat transfer;shock waves; Rankine-Hugoniot relations; oblique shocks;reflections from walls and flow interfaces, expansion waves,Prandtl-Meyer flow, flow in nozzles, diffusers and inlets, two-andthree dimensional flows; perturbation methods; similarity rules;compressible laminar and turbulent boundary layers; acousticphenomena. Emphasis is relevant to air vehicles.Credit 3 units. EN: TU

E37 MEMS 5412 Computational Fluid DynamicsComputational fluid dynamics relevant to engineering analysisand design. Topics include: fundamentals of finite-difference,finite-volume and finite-element methods; numerical algorithmsfor parabolic, elliptic and hyperbolic equations; convergence,stability and consistency of numerical algorithms; applicationof numerical algorithms to selected model equations relevantto fluid flow, grid-generation techniques and convergenceacceleration schemes. Prerequisite: senior or graduate standingor permission of the instructor.Credit 3 units. EN: TU

E37 MEMS 5413 Advanced Computational Fluid DynamicsScope and impact of computational fluid dynamics. Governingequations of fluid mechanics and heat transfer. Three-dimensional grid-generation methods based on differentialsystems. Numerical methods for Euler and compressibleNavier-Stokes equation. Numerical methods for incompressibleNavier-Stokes equations. Computation of transonic inviscidand viscous flow past airfoils and wings. Analogy betweenthe equations of computational fluid dynamics, computationalelectromagnetics, computational aeroacoustics and otherequations of computational physics. Non-aerospace applications— bio-fluid mechanics, fluid mechanics of buildings, wind andwater turbines, and other energy and environment applications.Prerequisite: MEMS 5412 or permission of the instructor.Credit 3 units. EN: TU

E37 MEMS 5414 Aeroelasticity and Flow-Induced VibrationsThis course deals with the interactions between aerodynamics,dynamics and structures in aerospace systems. Topics coveredinclude unsteady aerodynamics, finite-state aerodynamicmodels, classical fixed-wing flutter, rotary-wing aeroelasticity andexperimental methods in aeroelasticity. Emphasis is given to theprediction of flutter and limit cycles in aeroelastic systems.Credit 3 units.

E37 MEMS 5416 TurbulenceHydrodynamic instabilities and the origin of turbulence. Mixinglength and vorticity transport theories. Statistical theories ofturbulence. Phenomenological considerations of turbulence

growth, amplification and damping, turbulent boundary layerbehavior, and internal turbulent flow. Turbulent jets and wakes.Credit 3 units. EN: TU

E37 MEMS 5420 HVAC Analysis and Design IFundamentals of heating, ventilating, and air conditioning —moist air properties, the psychrometric chart, classic moistair processes, design procedures for heating and coolingsystems. Design of HVAC systems for indoor environmentalcomfort, health, and energy efficiency. Heat transfer processesin buildings. Development and application of techniques foranalysis of heating and cooling loads in buildings, including theuse of commercial software. Course special topics can includeLEED rating and certification, cleanrooms, aviation, aerospace,and naval applications, ventilation loads, animal control facilities,building automation control, and on-site campus tours of state-of-the-art building energy and environmental systems.Credit 3 units. EN: TU

E37 MEMS 5421 HVAC Analysis and Design IIFundamentals of heating, ventilating, and air conditioning —energy analysis and building simulation, design procedures forbuilding water piping systems, centrifugal pump performance,design of building air duct systems, fan performance, optimumspace air diffuser design for comfort, analysis of humidificationand dehumidification systems, and advanced analysis ofrefrigeration systems. HVAC analytical techniques will includethe use of commercial software. Course special topics caninclude LEED rating and certification, management for energyefficiency, energy auditing calculations, aviation, aerospace, andnaval applications, ventilation loads, building automation control,and on-site campus tours of state-of-the-art building energy andenvironmental systems.Credit 3 units. EN: TU

E37 MEMS 5422 Solar Energy Thermal ProcessesExtraterrestrial solar radiation, solar radiation on Earth's surface,and weather bureau data. Review of selected topics in heattransfer. Methods of solar energy collection and solar energystorage. Transient and long-term solar system performance.Prerequisite: MEMS 342 or equivalent.Credit 3 units. EN: TU

E37 MEMS 5423 Sustainable Environmental BuildingSystemsSustainable design of building lighting and HVAC systemsconsidering performance, life cycle cost and downstreamenvironmental impact. Criteria, codes and standards for comfort,air quality, noise/vibration and illumination. Life cycle andother investment methods to integrate energy consumption/conservation, utility rates, initial cost, system/componentlongevity, maintenance cost and building productivity. Direct andsecondary contributions to acid rain, global warming and ozonedepletion.Credit 3 units. EN: TU

E37 MEMS 5424 Thermo-Fluid Modeling of RenewableEnergy SystemsOverview of sustainable energy systems. Fundamentals ofenergy conversion. Renewable energy sources and energyconversion from wind, biomass, solar-thermal, geothermal andocean/waves. Applications to energy storage, fuel cells, greenair and ground transportation, energy-efficient buildings. Energy-


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economics modeling, emissions modeling, global warming andclimate change.Credit 3 units. EN: TU

E37 MEMS 5500 ElasticityElastic constitutive relations for isotropic and anisotropicmaterials. Formulation of boundary-value problems. Applicationto torsion, flexure, plane stress, plane strain and generalizedplane stress problems. Solution of three-dimensional problems interms of displacement potentials and stress functions. Solutionof two-dimensional problems using complex variables andconformal mapping techniques. Variational and minimumtheorems.Credit 3 units. EN: TU

E37 MEMS 5501 Mechanics of ContinuaA broad survey of the general principles governing themechanics of continuous media. Topics include: general vectorand tensor analysis, rigid body motions, deformation, stressand strain rate, large deformation theory, conservation laws ofphysics, constitutive relations, principles of continuum mechanicsand thermodynamics, two-dimensional continua. Prerequisites:ESE 501–502 or instructor's permission.Credit 3 units. EN: TU

E37 MEMS 5502 Plates and ShellsIntroduction to the linear theory of thin elastic plates andshells. The emphasis is on application and the developmentof physical intuition. The first part of the course focuses on theanalysis of plates under various loading and support conditions.The remainder of the course deals mainly with axisymmetricdeformation of shells of revolution. Asymptotic methods areused to solve the governing equations. Applications to pressurevessels, tanks and domes. Prerequisites: BME 240 or MEMS253; ESE 318 and ESE 319 or equivalent.Credit 3 units. EN: TU

E37 MEMS 5504 Fracture MechanicsClassical fracture and fatigue analysis and their limitations.Topics include: Griffith-Irwin, linear-elastic fracture-mechanicsanalysis, historical aspects, formulation of stability criteria,subcritical crack growth, anisotropic and inhomogeneous effects,fracture-control analysis, with applications to fracture-safetyanalysis relating to nuclear reactors, aircraft, rotating machinery,elastic-plastic fracture-mechanics analysis and future prospectsand applications. Prerequisites: graduate standing or permissionof instructor.Credit 3 units. EN: TU

E37 MEMS 5506 Experimental Methods in Solid MechanicsCurrent experimental methods to measure mechanical propertiesof materials are covered. Lectures include theoretical principles,measurement considerations, data acquisition and analysistechniques. Lectures are complemented by laboratory sectionsusing research equipment such as biaxial testing machines,pressure myographs, indentation devices for different scales,and viscometers.Credit 3 units. EN: TU

E37 MEMS 5507 Fatigue and Fracture AnalysisThe course objective is to demonstrate practical methodsfor computing fatigue life of metallic structural components.The course covers the three major phases of metal fatigue

progression: fatigue crack initiation, crack propagation andfracture. Topics include: stress vs. fatigue life analysis,cumulative fatigue damage, linear elastic fracture mechanics,stress intensity factors, damage tolerance analysis, fracturetoughness, critical crack size computation and load historydevelopment. The course focus is on application of thistechnology to design against metal fatigue and to preventstructural failure.Credit 3 units. EN: TU

E37 MEMS 5510 Finite Element AnalysisTheory and application of the finite element method. Topicsinclude: basic concepts, generalized formulations, constructionof finite element spaces, extensions, shape functions, parametricmappings, numerical integration, mass matrices, stiffnessmatrices and load vectors, boundary conditions, modelingtechniques, computation of stresses, stress resultants andnatural frequencies, and control of the errors of approximation.Prerequisite: graduate standing or permission of instructor.Credit 3 units. EN: TU

E37 MEMS 5515 Numerical Simulation in Solid Mechanics ISolution of 2-D and 3-D elasticity problems using the finiteelement method. Topics include: linear elasticity; laminatedmaterial; stress concentration; stress intensity factor; solutionverification; J integral; energy release rate; residual stress;multi-body contact; nonlinear elasticity; plasticity; and buckling.Prerequisite: graduate standing or permission of instructor.Credit 3 units.

E37 MEMS 5516 Numerical Simulation in Solid Mechanics IISolution of 2-D and 3-D elasticity problems using the finiteelement method. Topics include: laminates and compositematerials; nonlinear elasticity; plasticity; incremental theory ofplasticity; residual stress; geometric nonlinearity; membrane andbending load coupling; multi-body contact; stress intensity factor;interference fit; and buckling analysis. Prerequisite: graduatestanding or permission of instructor.Credit 3 units.

E37 MEMS 5520 Advanced Analytical MechanicsLagrange's equations and their applications to holonomic andnonholonomic systems. Topics include: reduction of degrees offreedom by first integrals, variational principles, Hamilton-Jacobitheory, general transformation theory of dynamics, applicationssuch as theory of vibrations and stability of motion, and useof mathematical principles to resolve nonlinear problems.Prerequisite: senior or graduate standing or permission ofinstructor.Credit 3 units. EN: TU

E37 MEMS 5560 Interfaces and Attachments in Natural andEngineered StructuresAttachment of dissimilar materials in engineering and surgicalpractice is a challenge. Bimaterial attachment sites arecommon locations for injury and mechanical failure. Naturepresents several highly effective solutions to the challenge ofbimaterial attachment that differ from those found in engineeringpractice. This course bridges the physiologic, surgical andengineering approaches to connecting dissimilar materials.Topics in this course are: natural bimaterial attachments;engineering principles underlying attachments; analysisof the biology of attachments in the body; mechanisms by


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which robust attachments are formed; concepts of attachingdissimilar materials in surgical practice and engineering;and bioengineering approaches to more effectively combinedissimilar materials.Credit 3 units. EN: TU

E37 MEMS 5561 Mechanics of Cell MotilityA detailed review of biomechanical inputs that drive cell motilityin diverse extracellular matrices (ECMs). This class discussescytoskeletal machineries that generate and support forces,mechanical roles of cell-ECM adhesions, and regulation ofECM deformations. Also covered are key methods for celllevel mechanical measurements, mathematical modeling ofcell motility, and physiological and pathological implications ofmechanics-driven cell motility in disease and development.Credit 3 units.

E37 MEMS 5562 Cardiovascular MechanicsThis course focuses on solid and fluid mechanics in the cardiacand cardiovascular system. Cardiac and cardiovascularphysiology and anatomy. Solid mechanics of the heart, heartvalves, arteries, veins and microcirculation. Flow through theheart chambers and blood vessels. Prerequisites: graduatestanding or permission of instructor.Credit 3 units. EN: TU

E37 MEMS 5564 Orthopaedic Biomechanics-Cartilage/TendonBasic and advanced viscoelasticity and finite strain analysisapplied to the musculoskeletal system, with a primary focuson soft orthopaedic tissues (cartilage, tendon and ligament).Topics include: mechanical properties of cartilage, tendon andligament; applied viscoelasticity theory for cartilage, tendon andligament; cartilage, tendon and ligament biology; tendon andligament wound healing; osteoarthritis. This class is gearedto graduate students and upper-level undergraduates familiarwith statics and mechanics of deformable bodies. Prerequisites:BME 240 or equivalent. Note: BME 590Z (463/563) OrthopaedicBiomechanics—Bones and Joints is not a prerequisite.Credit 3 units. EN: TU

E37 MEMS 5565 Mechanobiology of Cells and MatricesAt the interface of the cell and the extracellular matrix,mechanical forces regulate key cellular and molecular eventsthat profoundly affect aspects of human health and disease.This course offers a detailed review of biomechanical inputs thatdrive cell behavior in physically diverse matrices. In particular,cytoskeletal force-generation machineries, mechanical rolesof cell-cell and cell-matrix adhesions, and regulation of matrixdeformations are discussed. Also covered are key methodsfor mechanical measurements and mathematical modeling ofcellular response. Implications of matrix-dependent cell motilityin cancer metastasis and embryonic development are discussed.Prerequisite: graduate standing or permission of the instructorCredit 3 units. EN: TU

E37 MEMS 5601 Mechanical Behavior of MaterialsA materials science-based study of mechanical behavior ofmaterials with emphasis on mechanical behavior as affectedby processes taking place at the microscopic and/or atomiclevel. The response of solids to external or internal forces asinfluenced by interatomic bonding, crystal/molecular structure,crystalline/noncrystalline defects and material microstructure

are studied. The similarities and differences in the response ofdifferent kinds of materials viz., metals and alloys, ceramics,polymers and composites are discussed. Topics covered includephysical basis of elastic, visco elastic and plastic deformationof solids; strengthening of crystalline materials; visco elasticdeformation of polymers as influenced by molecular structureand morphology of amorphous, crystalline and fibrous polymers;deformation and fracture of composite materials; mechanismsof creep, fracture and fatigue; high strain-rate deformation ofcrystalline materials; and deformation of noncrystalline materials.Credit 3 units. EN: TU

E37 MEMS 5602 Non-metallicsStructure, mechanical and physical properties of ceramics andcermets, with particular emphasis on the use of these materialsfor space, missile, rocket, high-speed aircraft, nuclear and solid-state applications.Credit 3 units. EN: TU

E37 MEMS 5603 Materials Characterization Techniques IAn introduction to the basic theory and instrumentation used intransmission electron, scanning electron and optical microscopy.Practical laboratory experience in equipment operations,experimental procedures and material characterization.Credit 3 units. EN: TU

E37 MEMS 5604 Materials Characterization Techniques IIIntroduction to crystallography and elements of X-ray physics.Diffraction theory and application to materials science includingfollowing topics: reciprocal lattice concept, crystal-structureanalysis, Laue methods, rotating crystal methods, powdermethod, and laboratory methods of crystal analysis.Credit 3 units. EN: TU

E37 MEMS 5605 Mechanical Behavior of CompositesAnalysis and mechanics of composite materials. Topics includemicromechanics, laminated plate theory, hydrothermal behavior,creep, strength, failure modes, fracture toughness, fatigue,structural response, mechanics of processing, nondestructiveevaluation, and test methods. Prerequisite: graduate standing orpermission of the instructor.Credit 3 units. EN: TU

E37 MEMS 5606 Soft NanomaterialsSoft nanomaterials, which range from self-assembledmonolayers (SAMs) to complex 3-D polymer structures,are gaining increased attention owing to their broad-rangeapplications. The course introduces the fundamental aspects ofnanotechnology pertained to soft matter. Various aspects relatedto the design, fabrication, characterization and applicationof soft nanomaterials are discussed. Topics covered includebut are not limited to SAMs, polymer brushes, layer-by-layerassembly, responsive polymers structures (films, capsules),polymer nanocomposites, biomolecules as nanomaterials andsoft lithography.Credit 3 units. EN: TU

E37 MEMS 5607 Introduction to Polymer Blends andCompositesThe course covers topics in multicomponent polymer systems(polymer blends and polymer composites) such as: phaseseparation and miscibility of polymer blends, surfaces and


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interfaces in composites, microstructure and mechanicalbehavior, rubber toughened plastics, thermoplastic elastomers,block copolymers, fiber reinforced and laminated composites,techniques of polymer processing with an emphasis oncomposites processing, melt processing methods such asinjection molding and extrusion, solution processing of thin films,selection of suitable processing methods and materials selectioncriteria for specific applications. Advanced topics include:nanocomposites such as polymer/CNT composites, bioinspirednanocomposites, and current research challenges. Prerequisite:MEMS 3610 or equivalent or permission of instructor.Credit 3 units. EN: TU

E37 MEMS 5608 Introduction to Polymer Science andEngineeringTopics covered in this course are: the concept of long-chain ormacromolecules, polymer chain structure and configuration,microstructure and mechanical (rheological) behavior, polymerphase transitions (glass transition, melting, crystallization),physical chemistry of polymer solutions (Flory-Huggins theory,solubility parameter, thermodynamics of mixing and phaseseparation), polymer surfaces and interfaces, overview ofpolymer processing (extrusion, injection molding, film formation,fiber spinning) and modern applications of synthetic and bio-polymers.Credit 3 units. EN: TU

E37 MEMS 5609 Electronic Materials ProcessingThis course covers "unit processes" for manufacturingsemiconductor chips. Topics include: crystal growth and dopingof wafers, oxidation and diffusion, ion implantation, deposition,etching, cleaning and lithography. Processes are described withkey concepts derived from science and engineering and processintegration is covered for devices such as transistors and lightemitting diodes. Nanoprocessing concepts are highlightedin the end to provide students with practical and advancedknowledge of semiconductor manufacturing. Prerequisites:undergraduate engineering mathematics, materials science andbasic electronics or instructor's permission.Credit 3 units. EN: TU

E37 MEMS 5610 Quantitative Materials Science andEngineeringQuantitative Materials Science and Engineering covers themathematical foundation of primary concepts in materialsscience and engineering. Topics covered are: mathematicaltechniques in materials science and engineering; Fourier series;ordinary and partial differential equations; special functions;matrix algebra; and vector calculus. Each is followed by itsapplication to concepts in: thermodynamics; kinetics and phasetransformations; structure and properties of hard and softmatter; and characterization techniques. This course is intendedespecially for students pursuing graduate study in materialsscience.Credit 3 units. EN: TU

E37 MEMS 5611 Principles and Methods of Micro andNanofabricationA hands-on introduction to the fundamentals of micro- andnanofabrication processes with emphasis on cleanroompractices. The physical principles of oxidation, opticallithography, thin film deposition, etching and metrology methodswill be discussed, demonstrated and practiced. Students will be

trained in cleanroom concepts and safety protocols. Sequentialmicrofabrication processes involved in the manufacture ofmicroelectronic and photonic devices will be shown. Trainingin imaging and characterization of micro- and nanostructureswill be provided. Prerequisite: graduate or senior standing orpermission of the instructor.Credit 3 units. EN: TU

E37 MEMS 5612 Atomistic Modeling of MaterialsThis course will provide a hands-on experience using atomicscale computational methods to model, understand and predictthe properties of real materials. It will cover modeling usingclassical force-fields, quantum-mechanical electronic structuremethods such as density functional theory, molecular dynamicssimulations, and Monte Carlo methods. The basic background ofthese methods along with examples of their use for calculatingproperties of real materials will be covered in the lectures.Atomistic materials modeling codes will be used to calculatevarious material properties. Prerequisites: MEMS 3610 orequivalent or permission of instructor.Credit 3 units. EN: TU

E37 MEMS 5700 AerodynamicsFundamental concepts of aerodynamics, equations ofcompressible flows, irrotational flows and potential flow theory,singularity solutions, circulation and vorticity, Kutta-Joukowskitheorem, thin airfoil theory, finite wing theory, slender bodytheory, subsonic compressible flow and Prandtl-Glauert rule,supersonic thin airfoil theory, introduction to performance, basicconcepts of airfoil design. Prerequisite: graduate standing orpermission of instructor.Credit 3 units. EN: TU

E37 MEMS 5701 Aerospace PropulsionPropeller, jet, ramjet and rocket propulsion. Topics include:fundamentals of propulsion systems, gas turbine engines,thermodynamics and compressible flow, one-dimensionalgas dynamics, analysis of engine performance, air breathingpropulsion system, the analysis and design of enginecomponents, and the fundamentals of ramjet and rocketpropulsion.Credit 3 units. EN: TU

E37 MEMS 5703 Analysis of Rotary-Wing SystemsThis course introduces the basic physical principles that governthe dynamics and aerodynamics of helicopters, fans and windturbines. Simplified equations are developed to illustrate theseprinciples, and the student is introduced to the fundamentalanalysis tools required for their solution. Topics include:harmonic balance, Floquet theory and perturbation methods.Credit 3 units. EN: TU

E37 MEMS 5704 Aircraft StructuresBasic elements of the theory of elasticity; application to torsionof prismatic bars with open and closed thin-wall sections; themembrane analogy; the principle of virtual work applied to 2-D elasticity problems. Bending, shear and torsion of open andclosed thin-wall section beams; principles of stressed skinconstruction, structural idealization for the stress analysis ofwings, ribs and fuselage structures. Margin of safety of fastenedconnections and fittings. Stability of plates, thin-wall sectioncolumns and stiffened panels. Application of the finite elementmethod for the analysis of fastened connections, structural


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fittings and problems of local stability of aircraft structuralcomponents.Credit 3 units.

E37 MEMS 5705 Wind Energy SystemsA comprehensive introduction to wind energy systems, apractical means of extracting green and sustainable energy.Topics include: a historical perspective of wind turbines;horizontal axis and vertical axis wind turbines; the basicparameters such as power rating and efficiency; the structuralcomponents ranging from blade and hub to nacelle andtower; wind turbine aerodynamics, aeroelasticity and controlsystems; blade fatigue; statistical wind modeling; unsteadyairfoil aerodynamics and downstream wake; and environmentalconsiderations such as noise and aesthetics. Prerequisite:senior or graduate standing in engineering or permission of theinstructor.Credit 3 units. EN: TU

E37 MEMS 5801 Micro-Electro-Mechanical Systems IIntroduction to MEMS: Microelectromechanical systems (MEMS)are ubiquitous in chemical, biomedical and industrial (e.g.,automotive, aerospace, printing) applications. This course coversimportant topics in MEMS design, micro-/nanofabrication, andtheir implementation in real-world devices. The course includesdiscussion of fabrication and measurement technologies (e.g.,physical/chemical deposition, lithography, wet/dry etching, andpackaging), as well as application of MEMS theory to design/fabrication of devices in a cleanroom. Lectures cover specificprocesses and how those processes enable the structuresneeded for accelerometers, gyros, FR filters, digital mirrors,microfluidics, micro total-analysis systems, biomedical implants,etc. The laboratory component allows students to investigatethose processes first-hand by fabricating simple MEMS devices.Credit 3 units. EN: TU

E37 MEMS 5804 Engineering Project ManagementBasic fundamentals and advanced concepts of engineeringproject management applicable to projects and programs,both large and small. Project management skills, techniques,systems, software and application of management scienceprinciples are covered and related to research, engineering,architectural and construction projects from initial evaluationsthrough approval, design, procurement, construction and startup.Credit 3 units. EN: TU

E37 MEMS 5912 Biomechanics Journal ClubThis journal club is intended for graduate students and advancedundergraduates with an interest in biomechanics. We reviewlandmark and recent publications in areas such as brain,cardiovascular and orthopedic biomechanics, discussing bothexperimental and modeling approaches. This course meets onceweekly at a time to be arranged.Credit 1 unit. EN: TU

E37 MEMS 597 MEMS Research RotationIndependent research project that will be determined jointly bythe doctoral student and the instructor. Assignments may includebackground reading, presentations, experiments, theoretical,and/or modeling work. The goal of the course is for the doctoralstudent to learn the background, principles and techniquesassociated with research topics of interest and to determine amutual fit for the student's eventual doctoral thesis laboratory.

Credit 3 units.

E37 MEMS 598 Energy Design ProjectCredit variable, maximum 6 units.

E37 MEMS 599 Master's ResearchCredit variable, maximum 6 units.

E37 MEMS 600 Doctoral ResearchCredit variable, maximum 9 units.

E37 MEMS 883 Master's Continuing Student Status

Mechanical Engineering & Materials Science - 2017-18...

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