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Mechanical Engineering

Faculty E-mails

Professors
Qing Jiang, Ph.D.
Shankar Mahalingam, Ph.D.
Kambiz Vafai, Ph.D.
Akula Venkatram, Ph.D.
Associate Professor
Thomas Stahovich, Ph.D.
Assistant Professors
Guilermo Aguilar, Ph.D.
Cengiz Ozkan, Ph.D.
Junlan Wang, Ph.D.
Guanshui Xu, Ph.D.
••
Cooperating Faculty
Jie Chen, Ph.D. (Electrical Engineering)
Marek Chrobak, Ph.D. (Computer Science and Engineering)
Jay A. Farrell, Ph.D. (Electrical Engineering)
William A. Jury, Ph.D. (Environmental Sciences)
Ping Liang, Ph.D. (Electrical Engineering)
Umar Mohideen, Ph.D. (Physics)
Joseph M. Norbeck, Ph.D. (Chemical and Environmental Engineering)

MAJOR

The design and production of machines requires a broad-based education. The Mechanical Engineering degree program has been structured to provide the necessary background in chemistry, physics, and advanced math to achieve success in the advanced engineering subjects. In addition, students are taught the basics of Mechanical Engineering while learning about the latest developments and experimental techniques.

The goals of the Mechanical Engineering program are to:

• provide students with the knowledge and adaptive and social skills required to enter and function in rapidly evolving industry

• prepare students for graduate studies by
providing opportunities for undergraduate research

• provide an education with the breadth and intellectual discipline required to enter professional careers in fields outside engineering such as business and law

• produce students with a strong sense of
service to the larger community they live in

• inculcate in students the intellectual curiosity required for a lifetime of learning

The Mechanical Engineering B.S. degree at UCR is accredited by the Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology, 111 Market Place, Suite 1050, Baltimore, MD 21202-4012; (410) 347-7700. For more details see engr.ucr.edu/mechanical.

The Intersegmental General Education Transfer Curriculum (IGETC) does not meet transfer requirements for Engineering.

All undergraduates in the College of Engineering must see an advisor at least annually. See www.engr.ucr.edu/studentaffairs for details.

Degree Requirements

University Requirements

See the Undergraduate Studies section for requirements that all students must satisfy.

College Requirements

See Degree Requirements, The Marlan and Rosemary Bourns College of Engineering, in the Undergraduate Studies section, for requirements that students must satisfy.

The Mechanical Engineering major uses the following major requirements to satisfy the college's Natural Sciences and Mathematics breadth requirement.

1. One course in the biological sciences chosen from an approved list
2. CHEM 001A, CHEM 001B, CHEM 001C
3. MATH 009A

Major Requirements

1. Lower-division requirements (76 units)

a) Biological Science elective

b) CHEM 001A, CHEM 001B, CHEM 001C

c) CS 010

d) EE 001A, EE 01LA

e) MATH 009A, MATH 009B, MATH 009C, MATH 010A, MATH 010B, MATH 046

f) ME 007, ME 009, ME 010, ME 014

g) PHYS 040A, PHYS 040B, PHYS 040C

2. Upper-division requirements (81 units)

a) ENGR 118

b) ME 100A, ME 100B, ME 103, ME 110, ME 115A, ME 115B, ME 116A, ME 120, ME 121, ME 130, ME 170A, ME 170B, ME 175A, ME 175B, ME 175C

c) STAT 040 or STAT 155

d) Technical electives (16 units); four courses, selected from the following list, in consultation with an advisor: ME 116B, ME 117, ME 122, ME 131, ME 133, ME 136, ME 137, ME 153

GRADUATE PROGRAM

The Department of Mechanical Engineering offers graduate educational programs leading to M.S. and Ph.D. degrees. Areas of research focus include air quality modeling, combustion, design theory and automation, fluid mechanics, fracture and deformation of materials, heat transfer, microelectromechanical systems (MEMS), nanotechnology, robotics, smart materials, and transport phenomena.

Admission In addition to the following requirements, all applicants must meet the general requirements of the Riverside Division of the Academic Senate and the UCR Graduate Council as set forth in this catalog under the Graduate Studies section.

Applicants to the master's degree program should have an undergraduate degree in engineering, physical sciences, or mathematics; a satisfactory GPA for the last two years of their undergraduate studies; and high scores on the GRE General Test. All official transcripts, official GRE reports and three letters of recommendation must be submitted for evaluation. Foreign students and permanent residents whose first language is not English must also submit an acceptable TOEFL test score prior to admittance; the minimum TOEFL exam paper-based score is 550 and the minimum computer-based score is 213.

An M.S. or equivalent degree in engineering or physical sciences or mathematics is normally required for admission to the Ph.D. program, although applicants with exceptional undergraduate or research record may be admitted directly into the Ph.D. program without an M.S. degree. Applicants for the Ph.D. degree must also meet the same requirements as for the master's programs. Students in the M.S. program of Mechanical Engineering who desire to pursue the Ph.D. degree must formally apply for admission to the Ph.D. program.

Master's Degree

The M.S. degree in Mechanical Engineering can be earned by either completing a thesis (Plan I), which reports a creative investigation of a defined problem, or passing a comprehensive examination (Plan II). A minimum of three quarters of residency is required. Students should enroll in 12 units each quarter unless the graduate advisor grants an exception.

All international students whose first language is not English must demonstrate proficiency in spoken English by securing a "clear pass" on the SPEAK test prior to graduation, but students are encouraged to complete this requirement within their first year of residence at UCR.

Course work used to satisfy the student's undergraduate degree requirements may not be applied toward the 36-unit M.S. requirement.

Plan I (Thesis) requires completion of a minimum of 36 units of upper-division and graduate-level approved course work and submission of an acceptable thesis. At least 24 of these units must be in graduate courses (200-series courses), a minimum of four of these being Mechanical Engineering graduate courses (ME 200 or higher, excluding ME 250, ME 290, ME 297, ME 298I, and ME 299). The student must take 1 unit of seminar (ME 250) and at least 7 but no more than 11 units of directed or thesis research credits (ME 297 or ME 299). No more than 8 units of course work may be satisfied with directed studies (ME 290) or individual internship (ME 298I). Students must defend the thesis.

Plan II (Comprehensive Examination) requires completion of a minimum of 36 units of upper-division and graduate-level approved course work and successfully passing a comprehensive examination. At least 24 of these units must be in graduate courses (200 series courses), a minimum of four of these being Mechanical Engineering graduate courses (ME 200 or higher, excluding ME 250, ME 290, ME 297, ME 298I, and ME 299). The student must take 1 unit of seminar (ME 250) and no more than 7 units of directed studies (ME 290) or individual internship (ME 298I). The comprehensive examination covers a broad range of topics chosen from upper-division and graduate courses the student has taken. This examination is prepared and administered by the graduate program committee. It is held during the spring quarter of every year.

Doctoral Degree

The procedures for satisfying the requirements for the Ph.D. degree in Mechanical Engineering at UCR consists of four principal parts:

1. Successful completion of an approved program of course work
2. Passing a written and oral preliminary examination
3. Oral defense of a dissertation proposal written and submitted by the candidate
4. Defense and approval of the dissertation

All international students whose first language is not English must demonstrate proficiency in spoken English by securing a "clear pass" on the SPEAK test, prior to graduation, but students are encouraged to complete this requirement within their first year of residence at UCR.

Course Work Although there is no strict course or unit requirement, the department recommends a minimum of 36 units of graduate-level and upper-division courses, exclusive of seminar and research (ME 250, ME 297, and ME 299). In addition, students must fulfill a six-quarter residency requirement. Students must take a seminar (ME 250) for at least three quarters. They are expected to pursue a program of study that includes 1) a major area of study intended to increase the student's depth of knowledge in a major area (i.e., an area of specialty in mechanical engineering); and 2) a minor area of study intended to support and increase the student's breadth of knowledge in the major area, the minor area being in a basic science area related to the student's area of specialty. A coherent program of at least 24 units of graduate course work (including 16 units of Mechanical Engineering graduate courses) in the major area should satisfy the major requirement. A coherent program of at least 12 units of graduate or upper-division course work, or both, in the minor area should satisfy the minor requirement. The student and the faculty advisor should formulate this program within two quarters after admission to the program, and it must be approved by the student's advisor and graduate committee. Changes to the program may occur as the student's research progresses and should be documented after consultation with the advisor and graduate committee.

Preliminary Examination The examination aims to screen candidates for pursuing doctoral studies. It is administered by the graduate program committee and is composed of two sessions:

Session 1: Engineering Principles

Session 2: An area of specialty in mechanical engineering

Normally, both sessions are completed within a one-week period. Session 1 is a written examination. designed to test understanding of concepts and methods used in mechanical engineering. It covers three subject areas to be selected by the student. For details, consult the departmental guidelines. Problems will be typical of those encountered in upper-division courses of undergraduate engineering curricula in U.S. schools with graduate-level understanding. Session 2 is conducted orally. and assesses the student's ability to conduct independent research. Consult departmental guidelines for details. The preliminary examination is normally offered once every year in the spring quarter.

Dissertation and Final Oral Examination After successfully completing the preliminary examination, the student, with advice from the advisor, recommends a qualifying committee and prepares a dissertation proposal. The dissertation proposal consists of a written document and an oral presentation or defense. Typically, the student submits a dissertation proposal to the qualifying committee within one year after successfully completing the preliminary examination. The qualifying committee chair normally schedules an oral defense within one month of the written proposal submission. The presentation is given only to the qualifying committee members. The student is advanced to candidacy after successfully completing this examination.

After completing the dissertation research, a written draft copy of the completed dissertation must be submitted to the dissertation committee for review, evaluation, and determination of whether the draft thesis is ready for oral defense. Once a draft has been approved for defense, an oral defense of the dissertation is scheduled and is open to the entire academic community. This defense consists of a presentation, followed by a question-and-answer period conducted by the dissertation committee and the audience. After successfully defending the dissertation, the candidate must submit final copies of the dissertation that comply with the format requirements set forth by the Graduate Division. Copies are given to the department and the dissertation advisor, in addition to those required by the Graduate Division.

Consult departmental guidelines for appointments to qualifying and dissertation committees.

Foreign Language Requirement None

Refer to the department's graduate program guidelines for further details.

LOWER-DIVISION COURSES

ME 007. Introduction to Engineering Fabrication Processes (1) Laboratory, 3 hours. Prerequisite(s): ME 009. Topics include principles of design for manufacture; precision measurements and tolerances; properties of metals such as hardness, machinability, and responses to heat treatment; theory and practice of precision metal-cutting operations; turning, boring, drilling, reaming, and milling; safety practices and procedures; and computer-controlled machining. Graded Satisfactory (S) or No Credit (NC).

ME 009. Engineering Graphics and Design (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): none. Graphical concepts and projective geometry relating to spatial visualization and communication in design, including technical sketching, instrument drawing, and computer-aided drafting and design.

ME 010. Statics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): PHYS 040B, MATH 009C. Equilibrium of coplanar force systems; analysis of frames and trusses; noncoplanar force systems; friction; distributed loads.

ME 014. Properties of Engineering Materials (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): CHEM 001A or CHEM 01HA; PHYS 040B (may be taken concurrently). Introduces applications of basic principles of physics and chemistry to the selection and use of engineering materials. Examines the relationship between structure and mechanical and electrical properties of technological materials.

UPPER-DIVISION COURSES

ME 100A. Thermodynamics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010A, PHYS 040B; or consent of instructor. Introduces basic concepts and applications of thermodynamics relevant to mechanical engineering. Topics include work and energy, the first law of thermodynamics, properties of pure substances, system and control volume analysis, the Carnot cycle, heat and refrigeration cycles, the second law of thermodynamics, entropy, and reversible and irreversible processes. Credit is awarded for only one of CHE 100, ENGR 100, or ME 100A.

ME 100B. Thermodynamics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 100A or consent of instructor. Covers additional thermodynamic concepts and applications relevant to mechanical engineering. Topics include the second law of thermodynamics, entropy function, entropy production, exergy analysis of cycles, equations of state, thermodynamic property relations, multiphase and multicomponent systems, combustion stoichiometry, thermochemistry, and chemical availability of fuels.

ME 103. Dynamics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): CS 010, MATH 010A, ME 010. Topics include vector representation of kinematics and kinetics of particles; Newton's laws of motion; force-mass-acceleration, work-energy, and impulse-momentum methods; kinetics of systems of particles; and kinematics and kinetics of rigid bodies.

ME 110. Mechanics of Materials (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 046, ME 010. Topics include mechanics of deformable bodies subjected to axial, torsional, shearing, and bending loads; combined stresses; columns; energy design; and their applications to the design of structures.

ME 115A. Fluid Mechanics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ENGR 118, MATH 010A, PHYS 040B; or consent of instructor. Introduces principles of fluid mechanics relevant to mechanical engineering. Topics include shear stresses and viscosity, fluid statics, pressure, forces on submerged surfaces, control volume approach, mass conservation, momentum and energy equations, differential approach, turbulent flow in pipes, and turbomachinery. Credit is awarded for only one of CHE 114, ENGR 115, or ME 115A.

ME 115B. Fluid Mechanics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 115A or consent of instructor. Introduces additional concepts and application of fluid mechanics relevant to mechanical engineering. Topics include potential flow theory, boundary layer flow, lift and drag forces on airfoils, and compressible flows.

ME 116A. Heat Transfer (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 100A, ME 115A; or consent of instructor. Introduces the analysis of steady and transient heat conduction, forced and natural convection, radiation heat transfer, and design of heat exchangers. Credit is awarded for only one of CHE 116, ENGR 116, or ME 116A.

ME 116B. Heat Transfer (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 116A or consent of instructor. Covers analytical and numerical methods in heat transfer and fluid mechanics. Topics include heat conduction and convection, gaseous radiation, boiling and condensation, general aspects of phase change, mass transfer principles, multimode heat transfer and the simulation of thermal fields, and the heat transfer process.

ME 117. Combustion and Energy Systems (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ENGR 118, ME 100A, ME 115A; or consent of instructor. Discusses premixed and diffusion flames, fuel-air thermochemistry, combustion-driven engine design and operation, engine cycle analysis, fluid mechanics in engine components, pollutant formation, and gas turbines.

ME 120. Dynamic Systems (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): EE 001A, EE 01LA, MATH 010B, ME 103, ME 115A; or consent of instructor. Topics include the modeling of dynamic engineering systems in various engineering domains, analysis of the response of linear systems models, and digital computer simulation.

ME 121. System Dynamics and Control (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ENGR 118, ME 120; or consent of instructor. Covers the fundamentals of analyzing and designing dynamic linear control systems. Topics include the analysis of systems in terms of time and frequency and state-space models for dynamic systems.

ME 122. Vibrations (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 120 or consent of instructor. Free and forced vibrations of lumped parameter systems with and without damping; resonance. Matrix methods for multidimensional systems. Normal modes, coupling, and normal coordinates. Use of conservation principles. Lagrange's equation. Electromechanical analogs.

ME 130. Kinematic Analysis and Design of Mechanisms (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): CS 010, ME 009, ME 103, ME 110. Topics include the kinematics, dynamics, and mechanical advantages of machinery; displacement velocity and acceleration analyses of linkages, the fundamental law of gearing and various gear trains; and computer-aided mechanism design and analysis. A design project is required.

ME 131. Kinematic Synthesis of Mechanisms (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): ME 130 or consent of instructor. Design of planar, spherical, and spatial mechanisms using both exact and approximate graphical and analytical techniques. A computer-aided design project is required.

ME 133. Introduction to Mechatronics (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): EE 132, ME 120. Topics include fundamental hardware and software components for the design and control of mechatronic systems, intermediate analog and digital electronics, sensors, transducers and actuators, basic analog and digital control of electric and fluid actuator systems, and hardware implementation of real-time control systems.

ME 136. Environmental Impacts of Energy Production and Conversion (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 100A, ME 115B, ME 116A; or consent of instructor. Covers thermodynamics, heat transfer, and fluid mechanics as applied to the examination of the environmental impacts of energy production and conversion. Topics include pollution associated with fossil fuel combustion, environmental impacts of energy use, noise pollution, turbulent transport of pollutants, and principles used in the design of pollution control equipment.

ME 137. Geophysical Fluid Mechanics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 100A, ME 115B; or consent of instructor. Covers the application of fluid mechanics to geophysical flow in the atmosphere and oceans. Topics include Coriolis force effects, geostrophic balance, thermal wind and shallow water equations, and waves in density stratified fluids.

ME 153. Applied Finite Element Methods (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 110. Introduction to the finite element method (FEM) and its matrix formulation and computer implementation. Also covers mesh generation and data visualization techniques. A term project using FEM computer codes is required.

ME 170A. Experimental Techniques (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): CS 010, EE 001A, EE 01LA, ME 103; or consent of instructor. Covers the principles and practice of measurement and control, and the design implementation of experiments. Topics include dimensional analysis, error analysis, signal-to-noise problems, filtering, data acquisition and data reduction, and statistical analysis. Includes experiments on the use of electronic devices and sensors, and practice in technical report writing.

ME 170B. Experimental Techniques (4) Laboratory, 6 hours; discussion, 2 hours. Prerequisite(s): ME 115B, ME 116A, ME 120, ME 170A; or consent of instructor. Analysis and verification of engineering theory using laboratory measurements in advanced, project-oriented experiments involving fluid flow, heat transfer, structural dynamics, thermodynamic systems, and electromechanical systems.

ME 175A. Mechanical Engineering Design (2) Lecture, 1 hour; laboratory, 3 hours. Prerequisite(s): ME 007 (may be taken concurrently); senior standing in Mechanical Engineering. Students, working in small teams, propose an initial concept or design of a mechanical engineering device or system. Lecture topics include engineering design methodologies, machine components in design, and written and oral communication. Graded In Progress (IP) until both ME 175B and ME 175C are completed, at which time a final, letter grade is assigned.

ME 175B. Mechanical Engineering Design (3) Lecture, 2 hours; laboratory, 3 hours. Prerequisite(s): senior standing in Mechanical Engineering; ME 175A. Students take the project proposed in ME 175A from a preliminary concept to a detailed design using the engineering design process and various modeling and analysis techniques. Lecture topics include modeling and analysis in design, engineering economics, oral and written communications, and ethics. Graded in Progress (IP) until ME 175A and ME 175C are completed, at which time a final, letter grade is assigned.

ME 175C. Mechanical Engineering Design (3) Lecture, 1 hour; discussion, 1 hour; laboratory, 3 hours. Prerequisite(s): Senior standing in Mechanical Engineering; ME 175B. Students create, test and evaluate a prototype based on the project design generated in ME 175B. Lecture topics include systems engineering; design for manufacturing, safety, and reliability; and intellectual property rights. The students discuss their design project in an oral presentation and a written report. Satisfactory (S) or No Credit (NC) grading is not available.

ME 190. Special Studies (1-5) Individual study, 3-15 hours. Prerequisite(s): consent of instructor and department chair. Individual study to meet special curricular needs. Course is repeatable to a maximum of 9 units.

GRADUATE COURSES

ME 200. Methods of Engineering Analysis (4) Lecture, 4 hours. Prerequisite(s): graduate standing in engineering or consent of instructor. Topics include linear algebra theory, vector spaces, eigenvalue problems, complex analytic functions, contour integration, integral transforms, and basic methods for solving ordinary and partial differential equations in mechanical engineering applications.

ME 201. Computational Methods in Engineering (4) Lecture, 4 hours. Prerequisite(s): graduate standing or consent of instructor. Explores numerical methods with computer applications. Topics include solution of nonlinear algebraic equations, solution of systems of linear equations, interpolation, integration, statistical description of data, model fitting, Fast Fourier Transform and applications, and numerical solution of ordinary and partial differential equations.

ME 220. Theoretical Kinematics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): ME 200 or consent of instructor. Introduces spatial rigid body kinematics using homogeneous transformations, product of exponentials, and dual quaternion formulations. Covers screw theory, Lie theory, and Clifford algebras to provide students with the mathematical foundation for advanced studies in robot kinematics, computer graphics, and mechanics.

ME 221. Advanced Dynamics (4) Lecture, 4 hours. Prerequisite(s): ME 103 or consent of instructor. Introduces spatial kinematics and dynamics of a rigid body, multi-rigid-body systems, and robot manipulators. Topics include Newton's and Euler's laws, Lagrange's equations, Hamilton's equations, and variational principles.

ME 222A. Introduction to Robotics (4) Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): EE 132 or equivalent, ME 120, ME 130; or consent of instructor. Introduces the mechanics of robotics systems. Topics include kinematics, dynamics, task planning, open- and closed-loop control strategies, and robot programming languages. Explores the concept of parallel kinematic machines.

ME 222C. Robot Dynamics and Control (4) Lecture, 4 hours. Prerequisite(s): EE 235, ME 221, ME 222A; or consent of instructor. Introduces recursive formulations for serial and parallel manipulator dynamics using Newton-Euler and Lagrangian approaches. Explores the structure of dynamics equations, trajectory generation and motion control, linear controllers, feedback linearization, and force controllers.

ME 230. Computer-Aided Engineering Design (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): graduate standing or consent of instructor. Introduces fundamentals of interactive computer graphics, three-dimensional representations of curves and surfaces, Bezier parameterizations, and optimization methods. Demonstrates applications of computer graphics and computational geometry to mechanical system simulations, computer-aided design, and engineering design.

ME 236. Geometric Nonlinear Control (4) Lecture, 4 hours. Prerequisite(s): EE 235 or consent of instructor. Introduces methods of differential geometry and manifold theory applied to nonlinear control systems. Topics include stability of nonlinear systems, center-manifold theory, controllability, and feedback linearization.

ME 240A. Fundamentals of Fluid Mechanics (4) Lecture, 4 hours. Prerequisite(s): graduate standing or consent of instructor. Introduction to fluid mechanics. Explores equations of motion, stress tensor, the Navier-Stokes equations, boundary conditions, exact solutions, vorticity, and boundary layers.

ME 240B. Fundamentals of Fluid Mechanics (4) Lecture, 4 hours. Prerequisite(s): ME 240A or consent of instructor. Covers inviscid flow, the Euler and Bernouli equations, potential flow, and wing theory and introduces stability theory and turbulence.

ME 241. Fundamentals of Heat and Mass Transfer (4) Lecture, 4 hours. Prerequisite(s): ME 240A or consent of instructor. Introduces in-depth derivations of equations and principles governing heat and mass transfer with an emphasis on formulation of problems. Topics include equations involved in conduction, convection, radiation, energy, and species conservation and the analytical and numerical solution of transport problems.

ME 246. Computational Fluid Dynamics with Applications (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): ME 240A or consent of instructor. Introduces finite difference, finite volume, and finite element; spectral methods, governing equations for nonreacting and reacting flows; and stability and convergence for steady and unsteady problems. Students use commercial computational fluid dynamics (CFD) software for the course project.

ME 247. Applied Combustion and Environmental Applications (4) Lecture, 4 hours. Prerequisite(s): graduate standing or consent of instructor. Topics include chemical reaction thermodynamics and kinetics of fuel-air mixtures, governing equations for reacting flows, premixed flame structure and propagation, diffusion flame analysis, ignition theory, droplet and spray combustion, pollutant formation in internal combustion engines, pollution control, principles of air pollution, and atmospheric transport.

ME 250. Seminar in Mechanical Engineering (1 or 2) Seminar, 1 or 2 hours. Prerequisite(s): graduate standing. Seminar in selected topics in mechanical engineering presented by graduate students, staff, faculty, and invited speakers. Students who present a seminar receive a letter grade; other students receive a Satisfactory (S) or No Credit (NC) grade. Course is repeatable.

ME 261. Theory of Elasticity (4) Lecture, 4 hours. Prerequisite(s): ME 110 or consent of instructor. Introduction to tensors, strain, equations of motion, and constitutive equations. Topics include typical boundary value problems of classical elasticity, problems of plane strain and plane stress, and variational principles.

ME 266. Mechanics and Physics of Materials (4) Lecture, 4 hours. Prerequisite(s): graduate standing or consent of instructor. Introduces the structure and properties of materials; the characterization and modeling of mechanical, thermal, electric, and magnetic properties of materials; and coupling properties. Topics include phase transformations and brittle-to-ductile transitions.

ME 267. Finite Element Methods in Solid Mechanics (4) Lecture, 4 hours. Prerequisite(s): ME 261 or consent of instructor. Covers the formulation and implementation of finite element methods, including the Galerkin and energy methods. Topics include the static and dynamic analysis of mechanical and multiphysical systems and techniques of automatic mesh generation.

ME 270. Introduction to Microelectromechanical Systems (4) Lecture, 4 hours. Prerequisite(s): ME 014, ME 110, or equivalents. An introduction to the design and fabrication of microelectromechanical systems (MEMS). Topics include bulk and surface micromachining processes; material properties; mechanisms of transduction; applications in mechanical, thermal, optical, radiation, and biological sensors and actuators; fabrication of microfluidic devices; Bio-MEMS and applications; packaging and reliability concepts; and metrology techniques for MEMS. Also discusses directions for future research.

ME 272. Nanoscale Science and Engineering (4) Lecture, 3 hours; laboratory, 3 hours. Prerequisite(s): ME 01H or consent of instructor. An overview of the machinery and science of the nanometer scale. Topics include patterning of materials via scanning probe lithography; electron beam lithography; nanoimprinting; self-assembly; mechanical, electrical, magnetic, and chemical properties of nanoparticles, nanotubes, nanowires, and biomolecules (DNA, protein); self-assembled monolayers; and nanocomposites and synthetic macromolecules.

ME 290. Directed Studies (1-6) Individual study, 3-18 hours. Prerequisite(s): graduate standing; consent of instructor and graduate advisor. Individual study, directed by a faculty member, of selected topics in mechanical engineering. Graded Satisfactory (S) or No Credit (NC). Course is repeatable to a maximum of 9 units.

ME 297. Directed Research (1-4) Outside research, 3-18 hours. Prerequisite(s): graduate standing; consent of instructor. Research conducted under the supervision of a faculty member on selected problems in mechanical engineering. Graded Satisfactory (S) or No Credit (NC). Course is repeatable to a maximum of 9 units.

ME 299. Research for the Thesis or Dissertation (1-12) Outside research, 3-36 hours. Prerequisite(s): graduate standing; consent of instructor. Research in mechanical engineering for the M.S. thesis or Ph.D. dissertation. Graded Satisfactory (S) or No Credit (NC). Course is repeatable.

PROFESSIONAL COURSE

ME 302. Apprentice Teaching (1-4) Seminar, 1-4 hours. Prerequisite(s): appointment as a teaching assistant or an associate in Mechanical Engineering. Topics include effective teaching methods, such as those involved in leading discussion sections and preparing and grading examinations, and student-instructor relations in lower- and upper-division Mechanical Engineering courses. Required each quarter of teaching assistants and associates in Mechanical Engineering. Graded Satisfactory (S) or No Credit (NC). Course is repeatable to a maximum of 12 units.