Department of Mechanical and Aerospace Engineering
S4221 Engineering Gateway; (949) 8248451, 5406
http://mae.eng.uci.edu/
Derek DunnRankin, Department Chair
The Department of Mechanical and Aerospace Engineering offers two undergraduate B.S. degree programs: one in Mechanical Engineering and the other in Aerospace Engineering. M.S. and Ph.D. degree programs in Mechanical and Aerospace Engineering are also offered.
Mechanical engineers design, manufacture, and control machines ranging from robots to aircraft and spacecraft, design engines and power plants that drive these machines, analyze the environmental impact associated with power generation, and strive to promote environmental quality. To achieve their goals, mechanical engineers use mathematics, physics, and chemistry together with engineering science and technology in areas such as fluid mechanics, heat transfer, dynamics, controls, and atmospheric science. Mechanical Engineering students at UCI learn the problemsolving, modeling, and testing skills required to contribute to advances in modern technology.
Mechanical Engineering undergraduates complete required courses that provide engineering fundamentals and technical electives that allow students to study particular areas of interest. Specializations are available in Aerospace Engineering, Energy Systems and Environmental Engineering, Flow Physics and Propulsion Systems, and Design of Mechanical Systems. Independent research opportunities allow students to pursue other avenues for focusing their studies.
Aerospace Engineering deals with all aspects of aircraft and spacecraft design and operation, thus requiring the creative use of many different disciplines. Aerospace engineers work the forefront of technological advances and are leaders in scientific discoveries.
The undergraduate curriculum in Aerospace Engineering includes courses in subsonic and supersonic aerodynamics, propulsion, controls and performance, lightweight structures, spacecraft dynamics, and advanced materials. In the senior capstone course, students work in teams on the preliminary design of a commercial jet transport.
Career opportunities for Aerospace Engineering graduates are in the broad range of aerospace industries, including manufacturers of aircraft, spacecraft, engines, and aircraft/spacecraft components; makers of aircraft/spacecraft simulators; and government research laboratories.
Undergraduate Major in Aerospace Engineering
Program Educational Objectives: Graduates of the program will have the professional and scientific education that allows them to be successful as career engineers and in the most demanding graduate programs. Specifically, they will be able to (1) function in professional environments in industry, government, and academia applying and building upon engineering science knowledge, problemsolving skills, and communication skills; (2) function as members of teams and in leadership roles applying ethical standards including the AIAA code of ethics within and beyond traditional Aerospace Engineering disciplines; and (3) remain current with technology and contemporary scientific and societal issues, and consequently improve skills and knowledge through a lifelong process of learning. (Program educational objectives are those aspects of engineering that help shape the curriculum; achievement of these objectives is a shared responsibility between the student and UCI.)
The undergraduate Aerospace Engineering curriculum includes a core of mathematics, physics, and chemistry. Engineering courses in fundamental areas constitute much of the remaining curriculum. A few technical electives allow the undergraduate student to specialize somewhat or to pursue broader understanding. A senior capstone design experience culminates the curriculum.
Admissions
High School Students: See School admissions information.
Transfer Students. Preference will be given to juniorlevel applicants with the highest grades overall, and who have satisfactorily completed the following required courses: one year of approved calculus, one year of calculusbased physics with laboratories (mechanics, electricity and magnetism), one course in general chemistry (with laboratory), and two additional approved courses for the major.
Students are encouraged to complete as many of the lowerdivision degree requirements as possible prior to transfer. Students who enroll at UCI in need of completing lowerdivision course work may find that it will take longer than two years to complete their degrees. For further information, contact The Henry Samueli School of Engineering at (949) 8244334.
Requirements for the B.S. Degree in Aerospace Engineering
All students must meet the University Requirements.
All students must meet the School Requirements.
Major Requirements
Mathematics and Basic Science Courses:  
MATH 2A 2B  SingleVariable Calculus and SingleVariable Calculus 
MATH 2D  Multivariable Calculus 
MATH 3A  Introduction to Linear Algebra 
MATH 3D  Elementary Differential Equations 
MATH 2E  Multivariable Calculus 
CHEM 1A  General Chemistry 
CHEM 1LE  Accelerated General Chemistry Lab 
PHYSICS 7C  Classical Physics 
PHYSICS 7LC  Classical Physics Laboratory 
PHYSICS 7D 7E  Classical Physics and Classical Physics 
PHYSICS 7LD  Classical Physics Laboratory 
PHYSICS 52A  Fundamentals of Experimental Physics 
and select one of the following:


From DNA to Organisms  
General Chemistry  
Earth's Atmosphere  
Modern Physics  
Engineering Topics Courses:  
Students must complete a minimum of 24 units of engineering design.  
Core Courses:


Principles of Materials Science and Engineering  
Introduction to Engineering Computations  
Statics  
Electric Circuits  
or EECS 70A 
Network Analysis I 
Dynamics  
Introduction to Thermodynamics  
Mechanical Systems Laboratory  
Aerospace Laboratory  
Propulsion  
Heat and Mass Transfer  
Introduction to Fluid Mechanics  
Introduction to Viscous and Compressible Flows  
Compressible Flow  
Aerodynamics  
Astronautics  
Mechanics of Structures  
Mechanics of Structures Laboratory  
Lightweight Structures  
Aircraft Performance  
Aircraft Design  
Introduction to Control Systems  
Dynamics and Control of Aerospace Vehicles  
Technical Elective Courses:  
Students select a minimum of 8 units of technical electives, incorporating at least 1 unit of design. Any upperdivision course in the department not used for the degree may be used as a technical elective. With approval of the Undergraduate Advisor, students may choose from other departments’ upperdivision courses that have primarily technical content. Preapproved courses are listed on the MAE Web site: http://mae.eng.uci.edu/undergraduate/TechElect.htm.


Engineering Professional Topics Course:  
ECON 20A  Basic Economics I 
At most an aggregate total of 4 units of 199 or H199 courses may be used to satisfy degree requirements.
(The nominal Aerospace Engineering program will require 185 units of courses to satisfy all university and major requirements. Because each student comes to UCI with a different level of preparation, the actual number of units will vary.)
Design unit values are indicated at the end of each course description. The faculty advisors and the Undergraduate Student Affairs Office can provide necessary guidance for satisfying the design requirements. Selection of elective courses must be approved by the student’s faculty advisor and the departmental undergraduate advisor.
Program of Study
Sample Program of Study — Aerospace Engineering
Freshman  

Fall  Winter  Spring 
MATH 2A  MATH 2B  MATH 2D 
ENGRMAE 10  PHYSICS 7C  PHYSICS 7D 
CHEM 1A  PHYSICS 7LC  PHYSICS 7LD 
General Education  CHEM 1LE  Basic Science 
General Education  
Sophomore  
Fall  Winter  Spring 
MATH 3A  MATH 3D  MATH 2E 
PHYSICS 7E  ENGRMAE 80  ENGRMAE 91 
PHYSICS 52A  ENGR 54  General Education 
ENGRMAE 30  ENGRMAE 60  
General Education  
Junior  
Fall  Winter  Spring 
ENGRMAE 130A  ENGRMAE 130B  ENGRMAE 106 
ENGRMAE 150  ENGRMAE 146  ENGRMAE 120 
ENGRMAE 150L  ENGRMAE 157  ENGRMAE 135 
General Education  General Education  General Education 
Senior  
Fall  Winter  Spring 
ENGRMAE 108  ENGRMAE 112  ENGRMAE 159 
ENGRMAE 136  ENGRMAE 158  ENGRMAE 175 
ENGRMAE 170  Technical Elective  Technical Elective 
General Education  General Education  General Education 
The sample program of study chart shown is typical for the major in Aerospace Engineering. This program is based upon a set of prerequisites, beginning with adequate preparation in high school mathematics, physics, and chemistry. Students who are not adequately prepared, or who wish to make changes in the sequence for other reasons, must have their programs approved by their faculty advisor. Aerospace Engineering majors must consult at least once every year with the academic counselors in the Student Affairs Office and with their faculty advisor.
Undergraduate Major in Mechanical Engineering
Program Educational Objectives: Graduates of the program will have the professional and scientific education that allows them to be successful as career engineers and in the most demanding graduate programs. Specifically, they will be able to (1) function in professional environments in industry, government, and academia applying and building upon engineering science knowledge, problemsolving skills, and communication skills; (2) function as members of teams and in leadership roles applying ethical standards including the ASME code of ethics within and beyond traditional Mechanical Engineering disciplines; and (3) remain current with technology and contemporary scientific and societal issues, and consequently improve skills and knowledge through a lifelong process of learning. (Program educational objectives are those aspects of engineering that help shape the curriculum; achievement of these objectives is a shared responsibility between the student and UCI.)
The undergraduate Mechanical Engineering curriculum includes a foundation of mathematics, physics, and chemistry. Engineering courses in fundamental areas constitute much of the remaining curriculum. A few technical electives allow the undergraduate student to specialize somewhat or to pursue broader understanding. A senior capstone design experience culminates the curriculum.
Admissions
High School Students: See School admissions information.
Transfer Students. Preference will be given to juniorlevel applicants with the highest grades overall, and who have satisfactorily completed the following required courses: one year of approved calculus, one year of calculusbased physics with laboratories (mechanics, electricity and magnetism), one course in general chemistry (with laboratory), and two additional approved courses for the major.
Students are encouraged to complete as many of the lowerdivision degree requirements as possible prior to transfer. Students who enroll at UCI in need of completing lowerdivision course work may find that it will take longer than two years to complete their degrees. For further information, contact The Henry Samueli School of Engineering at (949) 8244334.
Requirements for the B.S. Degree in Mechanical Engineering
All students must meet the University Requirements.
All students must meet the School Requirements.
Major Requirements
Mathematics and Basic Science Courses:  
MATH 2A 2B  SingleVariable Calculus and SingleVariable Calculus 
MATH 2D  Multivariable Calculus 
MATH 3A  Introduction to Linear Algebra 
MATH 3D  Elementary Differential Equations 
MATH 2E  Multivariable Calculus 
CHEM 1A  General Chemistry 
CHEM 1LE  Accelerated General Chemistry Lab 
PHYSICS 7C  Classical Physics 
PHYSICS 7LC  Classical Physics Laboratory 
PHYSICS 7D 7E  Classical Physics and Classical Physics 
PHYSICS 7LD  Classical Physics Laboratory 
PHYSICS 52A  Fundamentals of Experimental Physics 
and select one of the following:


From DNA to Organisms  
General Chemistry  
Earth's Atmosphere  
Modern Physics  
Engineering Topics Courses:  
Students must complete a minimum of 24 units of engineering design.


Core Courses:


Principles of Materials Science and Engineering  
Introduction to Engineering Computations  
Statics  
ComputerAided Design  
Electric Circuits  
or EECS 70A 
Network Analysis I 
Dynamics  
Introduction to Thermodynamics  
Mechanical Systems Laboratory  
Fluid Thermal Science Laboratory  
Propulsion  
or ENGRMAE 115 
Applied Engineering Thermodynamics 
Heat and Mass Transfer  
Introduction to Fluid Mechanics  
Introduction to Viscous and Compressible Flows  
Theory of Machines and Mechanisms  
Vibrations  
Mechanics of Structures  
Mechanics of Structures Laboratory  
Mechanical Engineering Design  
Composite Materials and Structures  
or ENGRMAE 156 
Mechanical Behavior and Design Principles 
or ENGRMAE 157 
Lightweight Structures 
Introduction to Control Systems  
Senior Project  Special Topics (minimum of 3 units)  
Technical Elective Courses:  
Students select a minimum of 16 units of technical electives. Any upperdivision course in the department not used for the degree may be used as a technical elective. At least 8 units of the technical electives must come from mechanical engineering oriented MAE courses. With approval of the Undergraduate Advisor, students may choose any remaining technical elective units from other departments’ upperdivision courses that have primarily technical content. Preapproved courses from other departments as well as the identified mechanical engineering oriented MAE courses are listed on the MAE Web site: http://mae.eng.uci/undergraduate/TechElect.htm.


Engineering Professional Topics Course:  
ECON 20A  Basic Economics I 
At most an aggregate total of 4 units of 199 or H199 courses may be used to satisfy degree requirements.
(The nominal Mechanical Engineering program will require 189 units of courses to satisfy all university and major requirements. Because each student comes to UCI with a different level of preparation, the actual number of units will vary.)
Specialization in Aerospace Engineering:  
Completion of a Senior Design Project in this area, and  
select two of the following:


Propulsion  
Compressible Flow  
Aerodynamics  
Aircraft Performance  
Aircraft Design  
Dynamics and Control of Aerospace Vehicles  
Specialization in Energy Systems and Environmental Engineering:  
Completion of a Senior Design Project in this area, and  
select one of the following:


Combustion and Fuel Cell Systems  
Solar and Renewable Energy Systems  
and select one of the following:


Air Pollution and Control  
Introduction to Environmental Chemistry  
Watershed Modeling  
Reaction Kinetics and Reactor Design  
Specialization in Flow Physics and Propulsion Systems:  
Completion of a Senior Design Project in this area, and  
select two of the following:


Combustion and Fuel Cell Systems  
Propulsion  
Electric Propulsion  
Compressible Flow  
Specialization in Design of Mechanical Systems:  
Completion of a Senior Design Project in this area, and  
select two of the following:


Introduction to ComputerAided Engineering  
Digital Control Systems  
Design of ComputerControlled Robots  
ComputerAided Mechanism Design  
Engineering Design in Industry 
Design unit values are indicated at the end of each course description. The faculty advisors and the Student Affairs Office can provide necessary guidance for satisfying the design requirements. Selection of elective courses must be approved by the student’s faculty advisor and the departmental undergraduate advisor.
Program of Study
The sample program of study chart shown is typical for the accredited major in Mechanical Engineering. Students should keep in mind that this program is based upon a rigid set of prerequisites, beginning with adequate preparation in high school mathematics, physics, and chemistry. Therefore, the course sequence should not be changed except for the most compelling reasons. Students who are not adequately prepared, or who wish to make changes in the sequence for other reasons, must have their programs approved by their faculty advisor. Mechanical Engineering majors must consult at least once every year with the academic counselors in the Student Affairs Office and with their faculty advisors.
Sample Program of Study — Mechanical Engineering
Freshman  

Fall  Winter  Spring 
MATH 2A  MATH 2B  MATH 2D 
ENGRMAE 10  General Education  PHYSICS 7D 
General Education  PHYSICS 7C  PHYSICS 7LD 
CHEM 1A  PHYSICS 7LC  Basic Science 
CHEM 1LE  
Sophomore  
Fall  Winter  Spring 
MATH 3A  MATH 3D  MATH 2E 
PHYSICS 7E  ENGRMAE 80  ENGRMAE 52 
PHYSICS 52A  ENGR 54  ENGRMAE 91 
ENGRMAE 30  ENGRMAE 60  General Education 
General Education  
Junior  
Fall  Winter  Spring 
ENGRMAE 115  ENGRMAE 130B  ENGRMAE 106 
ENGRMAE 130A  ENGRMAE 147  ENGRMAE 120 
ENGRMAE 150  ENGRMAE 156 or 157  ENGRMAE 145 
ENGRMAE 150L  General Education  General Education 
General Education  
Senior  
Fall  Winter  Spring 
ENGRMAE 107  ENGRMAE 151  ENGRMAE 189 
ENGRMAE 170  Technical Elective  General Education 
General Education  Technical Elective  Technical Elective 
General Education  Technical Elective 
ENGRMAE 155 may be used instead of ENGRMAE 156 or ENGRMAE 157. Students can dual major in Mechanical Engineering and Aerospace Engineering by satisfying the degree requirements for both majors. Students who dual major in Mechanical Engineering and Materials Science Engineering should use CBEMS 164 as a Mechanical Engineering Core Course.
Graduate Study in Mechanical and Aerospace Engineering
The Mechanical and Aerospace Engineering faculty have special interest and expertise in four thrust areas: continuum mechanics; power, propulsion, and environment; micro/nanomechanics; and systems and design.
Continuum mechanics faculty study the physics of fluids, physics and chemistry of solids, and structural mechanics. Areas of emphasis in fluid mechanics include incompressible and compressible turbulent flows, multiphase flows, chemically reacting and other nonequilibrium flows, aeroacoustics, aerooptics, and fluidsolid interaction. In the field of solid mechanics, research and course work emphasize theoretical and computational approaches which contribute to a basic understanding of and new insight into the properties and behavior of condensed matter. General areas of interest are largestrain and largerotation inelastic solids, constitutive modeling, and fracture mechanics. Computational algorithms center on boundary element methods and the new class of meshless methods. Studies in structural mechanics involve the analysis and synthesis of lowmass structures, smart structures, and engineered materials, with emphasis on stiffness, stability, toughness, damage tolerance, longevity, optimal lifecycle costs and selfadaptivity.
Research in power, propulsion, and environment encompasses aerospace propulsion, combustion and thermophysics, fuel cell technologies, and atmospheric physics and impacts. In aerospace propulsion, particular emphasis is placed in the areas of turbomachinery, spray combustion, combustion instability, innovative engine cycles, and compressible turbulent mixing. The topic of combustion and thermophysics addresses the fundamental fluiddynamical, heattransfer, and chemical mechanisms governing combustion in diverse settings. Fuel cell research encompasses the development of fuelcell technology, hybrid engines, and thermionic devices. Activities cover the thermodynamics of energy systems, the controls associated with advanced energy systems, and systems analyses. The area of atmospheric physics and impacts deals with the modeling and controlling of chemical pollution, particle dispersion, and noise emission caused by energygeneration and propulsion devices. Research on atmospheric turbulence addresses the energy exchanges between the Earth’s land and ocean surfaces and the overlying atmosphere.
Micro/nanomechanics encompasses the thrusts of miniaturization engineering, mechatronics, and biotechnology. Miniaturization engineering is relevant to the development of smallscale mechanical, chemical and biological systems for applications in biotechnology, automotive, robotic, and alternative energy applications. It involves the establishment of scaling laws, manufacturing methods, materials options and modeling from the atom to the macro system. Mechatronic design is the integrated and optimal design of a mechanical system and its embedded control system. Main focus research is the design, modeling, and characterization of Micro Electro Mechanical Systems (MEMS). Particular emphasis is placed on analysis and design of algorithmic methods and physical systems that realize sensorbased motion planning. The thematic area of biotechnology involves the understanding, modeling, and application of fundamental phenomena in mechanical engineering, electrical engineering, and chemistry towards the development of biosensors and actuators.
Systems and design research is conducted in the areas of dynamic systems optimization and control, biomechanical engineering, robotics and machine learning, and design engineering. Advanced concepts in dynamics, optimization and control are applied to the areas of biorobotics, flight trajectory design, guidance and navigation, learning systems, micro sensors and actuators, flexible structures, combustion, fuel cells, and fluidoptical interactions. Biomechanical engineering integrates physiology with engineering in order to develop innovative devices and algorithms for medical diagnosis and treatment. The focus of robotics and machine learning is the creation of machines with humanlike intelligence capabilities for learning. Faculty in design engineering develop methodologies to address issues ranging from defining the size and shape of components needed for force and motion specifications, to characterizing performance in terms of design parameters, cost and complexity.
Aerospace engineering research efforts combine specialties from each of the four thrust areas toward the design, modeling, and operation of complex systems.
The Department offers the M.S. and Ph.D. degrees in Mechanical and Aerospace Engineering.
Master of Science Degree
Two plans are available to pursue study toward the M.S. degree: a thesis option and a comprehensive examination option. Opportunities are available for parttime study toward the M.S. degree. The Plan of Study for both options must be developed in consultation with a Faculty Advisor and approved by the Department Graduate Advisor.
Plan I: Thesis Option
The thesis option requires completion of eight graduate, technical and science courses; the completion of an original research project with a Faculty Advisor, the writing of the thesis describing it; and approval of the thesis by a thesis committee. This plan is available for those who wish to gain research experience or as preparation for study toward the doctoral degree. Students must complete 12 units of ENGRMAE 296, 3 units of ENGRMAE 298 , and four graduate courses from a restricted list in the selected major. Additionally, four of the eight required graduate courses must be from the MAE Department. With the approval of the graduate advisor, one noncore graduate course may be replaced by an upperdivision undergraduate course in MAE; this course may not have been used to satisfy the undergraduate degree requirements.
NOTE: Students who enter prior to fall of 2008 should follow the course requirements outlined within the Catalogue of the year they entered. The change in number of units per course is not intended to change the course requirements for the degree or to have any impact in the number of courses students are taking. As such, students will need to continue to meet the same high standards and plan of study requirements as previously required. Students will work with their advisor to create a plan of study encompassing the equivalent topical requirements, as well as the equivalent number of courses to the previous 36 unit requirement (i.e., at least 8 graduatelevel courses to meet the 24, 200–289 level unit requirement).
Plan II: Comprehensive Examination Option
The comprehensive examination option requires completion of eleven graduate, technical and science courses. Students must complete 3 units of ENGRMAE 298 and four graduate courses from a restricted list. Additionally, six of the eleven required graduate courses must be from the MAE Department. Up to two of the required courses may be replaced by an equivalent number of units of ENGRMAE 294, which includes execution and documentation of a research or design project under a faculty advisor. With the approval of the graduate advisor, one graduate course may be replaced by an upperdivision undergraduate course in MAE; this course may not be used to satisfy both undergraduate and graduate degree requirements.
NOTE: Students who entered prior to fall of 2008 should follow the course requirements outlined within the Catalogue of the year they entered. The change in number of units per course is not intended to change the course requirements for the degree or to have any impact in the number of courses students are taking. As such, students will need to continue to meet the same high standards and plan of study requirements as previously required. Students will work with their advisor to create a plan of study encompassing the equivalent topical requirements, as well as the equivalent number of courses to the previous 36 unit requirement (i.e., at least 11 graduatelevel courses to meet the 33, 200–289 level unit requirement).
Doctor of Philosophy Degree
The doctoral program in Mechanical and Aerospace Engineering is tailored to the individual needs and background of the student. The detailed program of study for each Ph.D. student is formulated in consultation with a faculty advisor who takes into consideration the objectives and preparation of the candidate.
Within this flexible framework the Department maintains specific guidelines that outline the milestones of a typical doctoral program. All doctoral students should consult the Departmental Ph.D. guidelines for program details, but there are several milestones to be passed: admission to the Ph.D. program by the faculty; completion of six nonresearch graduate, technical courses beyond M.S. degree requirements; passage of a preliminary examination or similar assessment of the student’s background and potential for success in the doctoral program; course work; meeting departmental teaching requirements, which can be satisfied through service as a teaching assistant or equivalent; research preparation; formal advancement to candidacy in the third year (second year for students who entered with a master’s degree) through a qualifying examination conducted on behalf of the Irvine division of the Academic Senate; development of a research proposal; completion of a significant research investigation, and completion and defense of an acceptable dissertation. There is no foreign language requirement. The degree is granted upon the recommendation of the Doctoral Committee and the Dean of Graduate Studies. Students enrolled in the Ph.D. program must take a fulltime load (minimum of 12 units). The normative time for completion of the Ph.D. is five years (four years for students who entered with a master’s degree). The maximum time permitted is seven years.
Before seeking admission, Ph.D. applicants are encouraged to communicate directly and in some detail with prospective faculty sponsors. The student’s objectives and financial resources must coincide with a faculty sponsor’s research interests and research support. Financial aid in the form of a teaching assistantship or fellowship may not cover the period of several years required to complete the program. During the balance of the period the student will be in close collaboration with the faculty research advisor.
Faculty
Satya N. Atluri: Continuum mechanics, computational mechanics, meshless methods, damage tolerance and structural integrity, computational nanoscience and technology
James E. Bobrow: Robotics, applied nonlinear control, optimization methods
Jacob Brouwer: Hightemperature electrochemical dynamics, fuel cells, renewable and sustainable energy
Donald Dabdub: Mathematical modeling of urban and global air pollution, dynamics of atmospheric aerosols, secondary organic aerosols, impact of energy generation on air quality, chemical reactions at gasliquid interfaces
Derek DunnRankin: Combustion, optical particle sizing, particle aerodynamics, laser diagnostics and spectroscopy
Said E. Elghobashi: Direct numerical simulation of turbulent, chemically reacting and dispersed twophase flows
Manuel GameroCastaño: Electric propulsion, electrospray, atomization, aerosol diagnostics
Faryar Jabbari: Robust and nonlinear control theory, adaptive parameter identification
John C. LaRue: Fluid mechanics, microelectricalmechanical systems (MEMS), turbulence, heat transfer, instrumentation
Feng Liu: Computational fluid dynamics and combustion, aerodynamics, aeroelasticity, propulsion, turbomachinery aerodynamics and aeromechanics
Marc J. Madou: Fundamental aspects of micro/nanoelectromechanical systems (MEMS/NEMS), biosensors, nanofluidics, biomimetics
J. Michael McCarthy: Machine design and kinematic synthesis of spatial mechanisms and robots
Kenneth D. Mease: Flight guidance and control, nonlinear dynamical systems
Dimitri Papamoschou: Compressible mixing and turbulence, jet noise reduction, diagnostics for compressible flow, acoustics in moving media
Roger H. Rangel: Fluid dynamics and heat transfer of multiphase systems including spray combustion, atomization, and metal spray solidification; applied mathematics and computational methods
David J. Reinkensmeyer: Robotics, mechatronics, biomedical engineering, rehabilitation, biomechanics, neural control of movement
Timothy Rupert: Mechanical behavior, nanomaterials, structureproperty relationships, microstructural stability, grain boundaries and interfaces, materials characterization
G. Scott Samuelsen (Emeritus): Energy, fuel cells, hydrogen economy, propulsion, combustion and environmental conflict; turbulent transport in complex flows, spray physics, NOx and soot formation, laser diagnostics and experimental methods; application of engineering science to practical propulsion and stationary systems; environmental ethics
William E. Schmitendorf (Emeritus): Control theory and applications
Andrei M. Shkel: Design and advanced control of microelectromechanical systems (MEMS); precision microsensors and actuators for telecommunication and information technologies; MEMSbased health monitoring systems, disposable diagnostic devices, prosthetic implants
Athanasios Sideris: Robust and optimal control theory and design, neural networks, learning systems and algorithms
William A. Sirignano: Combustion theory and computational methods, multiphase flows, highspeed turbulent reacting flows, flame spread, microgravity combustion, miniature combustors, fluid dynamics, applied mathematics
Lorenzo Valdevit: Multifunctional sandwich structures, thermal protection systems, morphing structures, active materials, MEMS, electronic packaging, cell mechanics
Benjamin F. Villac: Spaceflight dynamics, navigation and control, validated computational methods
Yun Wang: Fuel cells, computational modeling, thermofluidics, twophase flows, electrochemistry, Computational Fluid Dynamics (CFD), turbulent combustion
Gregory Washington: Dynamic systems: modeling and control, design and control of mechanically actuated antennas, advanced control of machine tools, design and control of Hybrid Electric Vehicles, structural position and vibration control with smart materials
Affiliated Faculty
Joyce H. Keyak: Orthopaedic surgery
Arash Kheradvar: Cardiac mechanics, cardiovascular devices, cardiac imaging
Abraham Lee: Microelectromechanical systems (MEMS), microfluidics, catheterbased microsurgical devices, microactuators for medical and optical applications, microfabrication processes, directed nanoscale selfassembly for biomolecular transducers
Robert H. Liebeck: Aircraft design
Vincent G. McDonell: Droplet transport; measurement, simulation, control, and analysis of liquid spray and gas fired combustion systems; alternative fuels
Lawrence J. Muzio: Thermodynamics, combustion and combustion in practical systems, air pollution formation and control, advanced diagnostics applied to practical combustion systems
William Randall Seeker: Energy systems, air pollution formation and control processes and technology, chemical; kinetics, combustion science, emissions monitoring, experimental combustion diagnostics
Edriss Titi: Partial differential equations, nonlinear analysis
Frederic YuiMing Wan: Applied mathematics
Affiliated faculty are from the Schools of Physical Sciences and Medicine and The Henry Samueli School of Engineering.
Courses
ENGRMAE 10. Introduction to Engineering Computations. 4 Units.
Introduction to the solution of engineering problems through the use of the computer. Elementary programming in FORTRAN and Matlab is taught. No previous knowledge of computer programming is assumed.
(Design units: 1)
Corequisite: MATH 2A.
Prerequisite: MATH 2A.
Overlaps with ENGR 10, EECS 10, EECS 12.
Restriction: School of Engineering majors have first consideration for enrollment.
ENGRMAE 30. Statics. 4 Units.
Addition and resolution of forces distributed forces, equivalent system of forces centroids, first moments, moments and products on inertia, equilibrium of rigid bodies, trusses, beams, cables.
(Design units: 0)
Corequisite: MATH 2D.
Prerequisite: MATH 2D and PHYSICS 7C.
Same as ENGRCEE 30, ENGR 30.
Restriction: School of Engineering majors have first consideration for enrollment.
ENGRMAE 52. ComputerAided Design. 4 Units.
Develops skills for interpretation and presentation of mechanical design drawings and the use of CAD in engineering design. An integrated approach to drafting based on sketching, manual drawing, and threedimensional CAD techniques is presented.
(Design units: 0.5)
Restriction: Mechanical Engineering and Materials Science Engineering majors have first consideration for enrollment.
ENGRMAE 57. Manufacturing Processes in Engineering. 2 Units.
With laboratory. Machines and processes of mechanical manufacturing. Safety and professional procedures emphasized. Use of measuring instruments, hand tools, lathe, mill, drill press, bandsaw, grinder, welding equipment.
(Design units: 0)
Grading Option: Pass/no pass only.
Restriction: School of Engineering majors have first consideration for enrollment.
ENGRMAE 60. Electric Circuits. 4 Units.
Design and analysis of analog circuits based on lumped circuit elements with emphasis on the use of operational amplifiers. Sinusoidal and transient response. Constructional and laboratory testing of analog circuits, and introduction to data acquisition. Materials fee.
(Design units: 2)
Corequisite: MATH 3D.
Prerequisite: PHYSICS 7D and PHYSICS 7LD.
Overlaps with EECS 70A, CSE 70A.
Restriction: Mechanical Engineering and Aerospace Engineering majors have first consideration for enrollment.
ENGRMAE 80. Dynamics. 4 Units.
Introduction to the kinetics and dynamics of particles and rigid bodies. The NewtonEuler, Work/Energy, and Impulse/Momentum methods are explored for ascertaining the dynamics of particles and rigid bodies. An engineering design problem using these fundamental principles is also undertaken.
(Design units: 0.5)
Prerequisite: MATH 2D and PHYSICS 7C.
Same as ENGRCEE 80, ENGR 80.
Restriction: School of Engineering majors have first consideration for enrollment.
ENGRMAE 91. Introduction to Thermodynamics. 4 Units.
Thermodynamic principles; open and closed systems representative of engineering problems. First and Second law of thermodynamics with applications to engineering systems and design.
(Design units: 0.5)
Prerequisite: PHYSICS 7C and MATH 2D.
Overlaps with CBEMS 45B.
Restriction: Aerospace Engineering, Civil Engineering, Environmental Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 106. Mechanical Systems Laboratory. 4 Units.
Experiments in linear systems, including opamp circuits, vibrations, and control systems. Emphasis on demonstrating that mathematical models can be useful tools for the analysis and design of electromechanical systems. Materials fee.
(Design units: 2)
Prerequisite: ENGRMAE 60 or EECS 70A.
Restriction: Aerospace Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 107. Fluid Thermal Science Laboratory. 4 Units.
Fluid and thermal engineering laboratory. Experimental analysis of fluid flow, heat transfer, and thermodynamic systems. Probability, statistics, and uncertainly analysis. Report writing is emphasized and a design project is required. Materials fee.
(Design units: 1)
Corequisite: ENGRMAE 120.
Restriction: Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 108. Aerospace Laboratory. 4 Units.
Analytical and experimental investigation in aerodynamics, fluid dynamics, and heat transfer. Emphasis on study of flow over objects and lift and drag on airfoils. Introduction to basic diagnostic techniques. Report writing is emphasized. Design project is required. Materials fee.
(Design units: 2)
Prerequisite: ENGRMAE 130B.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 110. Combustion and Fuel Cell Systems. 4 Units.
Fundamentals of gaseous, liquid, and coalfired combustion and fuel cell systems. Fuels, fuelair mixing, aerodynamics, and combustion and fuel cell thermodynamics. Operating and design aspects of practical systems including engines, power generators, boilers, furnaces, and incinerators.
(Design units: 2)
Prerequisite: ENGRMAE 115.
Restriction: Chemical Engineering, Environmental Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 112. Propulsion. 4 Units.
Application of thermodynamics and fluid mechanics to basic flow processes and cycle performance in propulsion systems: gas turbines, ramjets, scramjets, and rockets.
(Design units: 1)
Prerequisite: ENGRMAE 130B.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 113. Electric Propulsion. 4 Units.
Space propulsion requirements and maneuvers, stressing those best suited to electric propulsion. An introduction to plasma physics. Electrothermal, electromagnetic and electrostatis accelerators, with emphasis in technologies (ion engines, Hall thrusters and colloidal thrusters) belonging to the latter family.
(Design units: 1)
Prerequisite: ENGRMAE 112.
Concurrent with ENGRMAE 213.
ENGRMAE 115. Applied Engineering Thermodynamics. 4 Units.
Application of thermodynamic principles to compressible and incompressible processes representative of practical engineering problemspower cycles, refrigeration cycles, multicomponent mixtures, air conditioning systems, combustion and compressible flow. Design of a thermodynamic process.
(Design units: 2)
Prerequisite: ENGRMAE 91.
Restriction: Chemical Engineering, Environmental Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 117. Solar and Renewable Energy Systems. 4 Units.
Basic principles, design, and operation of solar and other renewable energy systems including solar photovoltaic, solar thermal, hydroelectric, wind, and biomass gasification and combustion. Includes power generation and storage, and renewable fuels for transportation and stationary power generation.
(Design units: 1)
Prerequisite: ENGRMAE 115.
Restriction: Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 118. Sustainable Energy Systems. 4 Units.
Basic principles, design, and operation of sustainable energy systems including wind, solar photovoltaic and thermal, hydroelectric, geothermal, oceanic, biomass combustion, advanced coal, and next generation nuclear. Includes power generation, storage, and transmission for stationary power generation.
(Design units: 1)
Prerequisite: ENGRMAE 115.
Concurrent with ENGRMAE 218.
ENGRMAE 120. Heat and Mass Transfer. 4 Units.
Fundamentals of heat and mass transfer. Conduction, heat and mass transfer by convection in laminar and turbulent flows, radiation heat transfer, and combined modes of heat and mass transfer. Practical engineering applications.
(Design units: 0)
Prerequisite: MATH 2D and PHYSICS 7C and ENGRMAE 91 and ENGRMAE 130B. MATH 2D with a grade of C or better. PHYSICS 7C with a grade of C or better. ENGRMAE 91 with a grade of C or better.
Overlaps with CBEMS 125B.
Restriction: Aerospace Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 130A. Introduction to Fluid Mechanics. 4 Units.
Fundamental concepts; fluid statics; fluid dynamics; Bernoulli's equation; controlvolume analysis; basic flow equations of conservation of mass, momentum, and energy; differential analysis; potential flow; viscous incompressible flow.
(Design units: 0)
Prerequisite: PHYSICS 7C and MATH 2D and MATH 2E and ENGRMAE 30 and ENGRMAE 80. MATH 2D with a grade of C or better. MATH 2E with a grade of C or better. ENGRMAE 30 with a grade of C or better. ENGRMAE 80 with a grade of C or better.
Overlaps with CBEMS 125A, ENGRCEE 170.
Restriction: Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 130B. Introduction to Viscous and Compressible Flows. 4 Units.
Introduction to the analysis of viscous flows including fully developed laminar and turbulent flow in a pipe, viscous flow over immersed bodies, evaluation of boundary layer characteristics, lift and drag, compressible flow in a duct and normal shock waves.
(Design units: 1)
Prerequisite: MATH 2D and PHYSICS 7C and ENGRMAE 91 and ENGRMAE 130A. MATH 2D with a grade of C or better. PHYSICS 7C with a grade of C or better. ENGRMAE 91 with a grade of C or better.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 135. Compressible Flow. 4 Units.
Compressibility effects in fluid mechanics. Onedimensional flow with area variation, friction, heat transfer, and shocks. Design of gas supply systems. Twodimensional flow with oblique shocks and isentropic waves. Supersonic airfoil theory and design, wind tunnel design. Basic diagnostics.
(Design units: 1)
Prerequisite: ENGRMAE 91 and ENGRMAE 130A and ENGRMAE 130B.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 136. Aerodynamics. 4 Units.
Analysis of flow over aircraft wings and airfoils, prediction of lift, moment and drag. Topics: fluid dynamics equations; flow similitude; viscous effects; vorticity, circulation, Kelvin's theorem, potential flow; superposition principle, KuttaJoukowski theorem; thin airfoil theory; finite wing theory; compressibility.
(Design units: 1)
Prerequisite: ENGRMAE 130A and ENGRMAE 130B.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 140. Introduction to Engineering Analysis. 4 Units.
Analytical methods of engineering. Nonhomogeneous linear ordinary differential equations. Variable coefficient linear ordinary differential equations. Eigenfunction expansions. Laplace transforms. Introduction to Fourier transforms. Linear partial differential equations.
(Design units: 0)
Prerequisite: MATH 2E and MATH 3D.
Restriction: Aerospace Engineering, Civil Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 145. Theory of Machines and Mechanisms. 4 Units.
Presents the basic mathematical theory of machines. Focuses on the principles of cam design, gearing and gear train analysis, and the kinematic and dynamic analysis of linkages, together with an introduction to robotics.
(Design units: 2)
Prerequisite: ENGRMAE 52 and ENGRMAE 80 and MATH 3A.
Restriction: Mechanical Engineering and Materials Science Engineering majors have first consideration for enrollment.
ENGRMAE 146. Astronautics. 4 Units.
Motion in gravitational force fields, orbit transfers, rocketry, interplanetary trajectories, attitude dynamics and stabilization, navigation, reentry, the space environment.
(Design units: 1)
Prerequisite: ENGRMAE 80.
Restriction: Aerospace Engineering majors have first consideration for enrollment.
ENGRMAE 147. Vibrations. 4 Units.
Analysis of structural vibrations of mechanical systems. Modeling for lumped and distributed parameter systems. Topics: single and multidegree of freedom systems, free and forced vibrations, Fourier series, convolution integral, mass/stiffness matrices, and normal modes with design project.
(Design units: 1)
Prerequisite: ENGRMAE 80 and MATH 2E.
Restriction: Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 150. Mechanics of Structures. 4 Units.
Stresses and strains. Torsion. Bending. Beam deflection. Shear force and moment distributions in beams. Yielding and buckling of columns. Combined loading. Transformation of stresses and strain. Yielding criteria. Finite elements analysis of frames. Dynamic of twobar truss.
(Design units: 2)
Prerequisite: (ENGRCEE 30 or ENGR 30 or ENGRMAE 30) and MATH 3A.
Same as ENGR 150.
Overlaps with ENGRCEE 150.
Restriction: Aerospace Engineering, Chemical Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 150L. Mechanics of Structures Laboratory. 1 Unit.
Experimental techniques for the measurement of mechanical properties of materials and structures. Methods for load, displacement, and strain measurements. Tension, bending, compression tests. Determination of strength, stiffness, toughness for metals, polymers, ceramics, and composites. Deformation of structures. Materials fee.
(Design units: 0)
Corequisite: ENGRMAE 150.
Prerequisite: ENGRMAE 30 or ENGR 30 or ENGRCEE 30.
Overlaps with ENGRCEE 150L.
Restriction: Aerospace Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 151. Mechanical Engineering Design. 4 Units.
A comprehensive group design project experience that involves identifying customer needs, idea generation, reverse engineering, preliminary design, standards, prototype development, testing, analysis, and redesign of a product involving fluid, thermal, and mechanical components. Introduces design for manufacturing and the environment.
(Design units: 3)
Prerequisite: ENGRMAE 120 and ENGRMAE 145 and ENGRMAE 170.
Restriction: Seniors only. Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 152. Introduction to ComputerAided Engineering. 4 Units.
Elements and principles of computeraided engineering with modern hardware and software are presented with a design focus. Case studies are used to assist in finiteelement method techniques. Not offered every year.
(Design units: 2)
Prerequisite: (ENGRMAE 150 or ENGR 150) and ENGRMAE 120.
Restriction: Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 153. Advanced BIOMEMS Manufacturing Techniques. 4 Units.
Introduction to BIOMEMS. Advanced biotechnology/biomedicine equipment based on MEMS and NEMS. Fundamentals of MEMS/NEMS sensing techniques and the biological and physics principles involved and the preferred MEMS and NEMS manufacturing techniques.
(Design units: 0)
Concurrent with ENGRMAE 253.
ENGRMAE 155. Composite Materials and Structures. 4 Units.
Motivation for composite materials. Different classifications according to the nature of the matrix (PMC, MMC, CMC) and the reinforcement topology (fibers, whiskers, particulates). Mechanical properties. Failure mechanisms. Designing with composite materials. Advantages and limitations of homogenization techniques for numerical modeling.
(Design units: 0)
Prerequisite: ENGR 54 and (ENGRMAE 150 or ENGRCEE 150 or ENGR 150).
Restriction: Chemical Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
Concurrent with ENGRMAE 255.
ENGRMAE 156. Mechanical Behavior and Design Principles. 4 Units.
Principles governing structure and mechanical behavior of materials, relationship relating microstructure and mechanical response with application to elasticity, plasticity, yielding, necking, creep, and fracture of materials. Introduction to experimental techniques to characterize the properties of materials. Design parameters.
(Design units: 2)
Prerequisite: ENGR 54.
Same as CBEMS 155.
Restriction: Chemical Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 157. Lightweight Structures. 4 Units.
Fundamentals of torsion and bending. Analysis and design of thinwall and composite beams. Stress analysis of aircraft components. Stiffness, strength, and buckling. Introduction to the Finite Element method and its application to plates and shells.
(Design units: 2)
Prerequisite: ENGR 150 or ENGRCEE 150 or ENGRMAE 150.
Restriction: Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have frist consideration for enrollment.
ENGRMAE 158. Aircraft Performance. 4 Units.
Flight theory applied to subsonic propeller and jet aircraft. Nature of aerodynamic forces, drag and lift of wing and fuselage, highlift devices, levelflight performance, climb and glide performance, range, endurance, takeoff and landing distances, static and dynamic stability and control.
(Design units: 2)
Prerequisite: ENGRMAE 130A.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 159. Aircraft Design. 4 Units.
Preliminary design of subsonic general aviation and transport aircraft with emphasis on layout, aerodynamic design, propulsion, and performance. Estimation of total weight and weight distribution, design of wings, fuselage, and tail, selection and location of engines, prediction of overall performance.
(Design units: 4)
Prerequisite: ENGRMAE 112 and ENGRMAE 136 and ENGRMAE 158.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 164. Air Pollution and Control. 4 Units.
Sources, dispersion, and effects of air pollutants. Topics include emission factors, emission inventory, air pollution, meteorology, air chemistry, air quality modeling, impact assessment, source and ambient monitoring, regional control strategies.
(Design units: 2)
Prerequisite: ENGRMAE 91 and (ENGRMAE 130A or ENGRCEE 170).
Restriction: Chemical Engineering, Environmental Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 170. Introduction to Control Systems. 4 Units.
Feedback control systems. Modeling, stability, and systems specifications. Root locus, Nyquist, and Bode methods of analysis and design.
(Design units: 2)
Prerequisite: MATH 2D and PHYSICS 7C and ENGRMAE 80 and ENGRMAE 106. MATH 2D with a grade of C or better. PHYSICS 7C with a grade of C or better. ENGRMAE 80 with a grade of C or better.
Restriction: Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 171. Digital Control Systems. 4 Units.
Methods for analysis and design of discretetime control systems. Ztransforms, difference equations, discrete Fourier transforms. Sampling theorem and applications. Zplane stability, frequency response. Digital controller design. Introduction to digital filters.
(Design units: 2)
Prerequisite: ENGRMAE 170.
Restriction: Civil Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 172. Design of ComputerControlled Robots. 4 Units.
Students design a small robotic device and program it to exhibit sentient behaviors. The basic aspects of mechatronic design are covered, including motor and sensor selection, control strategies, and microcomputer programming for the implementation of control paradigms.
(Design units: 3)
Corequisite: ENGRMAE 60.
Prerequisite: ENGRMAE 170.
Restriction: Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 175. Dynamics and Control of Aerospace Vehicles. 4 Units.
Equations of motion, linearization, stability derivatives, and longitudinal and lateral modes of motion. Handling qualities, sensors and actuators, and effects of various feedbacks on stability and performance. Stability augmentation. Autopilot design.
(Design units: 3)
Prerequisite: ENGRMAE 106.
Restriction: Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 183. ComputerAided Mechanism Design. 4 Units.
Focuses on design of planar, spherical, and spatial mechanisms using computer algebra and graphics. Topics include exact and approximate analytical design techniques. Students are required to use existing software (or develop new algorithms) to design various mechanisms for new applications.
(Design units: 4)
Prerequisite: MATH 3A.
Restriction: Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 185. Numerical Analysis in Mechanical Engineering. 4 Units.
Solution of mechanicalengineering equations by means of numerical methods. Errors in numerical analysis. Nonlinear equation and sets of equations. Numerical differentiation and integration. Ordinary differential equations. Boundaryvalue problems. Partial differential equations.
(Design units: 2)
Prerequisite: ENGRMAE 10 and MATH 3D and MATH 2E.
Overlaps with MATH 105A.
Restriction: Civil Engineering and Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 188. Engineering Design in Industry. 4 Units.
Principles of engineering design in the context of an industrial application. Local manufacturing firms define an engineering design project to be completed in 10 weeks. Projects include initial brainstorming to final design, with a formal presentation.
(Design units: 4)
Repeatability: May be taken for credit 3 times.
Restriction: Mechanical Engineering majors have first consideration for enrollment.
ENGRMAE 189. Senior Project  Special Topics. 14 Units.
Group or individual senior project of theoretical or applied nature involving design. Materials fee.
(Design units: 14)
Repeatability: May be taken for credit for 12 units as topics vary.
Restriction: Seniors only. Mechanical Engineering majors only.
ENGRMAE 195. Seminars in Engineering. 14 Units.
Seminars by individual faculty in major fields of interest. Materials fee.
(Design units: 14)
Repeatability: Unlimited as topics vary.
ENGRMAE 198. Group Study. 14 Units.
Group study of selected topics in Aerospace and Mechanical Engineering.
(Design units: 14)
Repeatability: May be repeated for credit unlimited times.
Restriction: Upperdivision students only.
ENGRMAE 199. Individual Study. 14 Units.
For undergraduate Engineering majors in supervised but independent reading, research, or design. Students taking individual study for design credit are to submit a written paper to the instructor and to the Undergraduate Student Affairs Office in the School of Engineering.
(Design units: 14)
Repeatability: May be taken for credit for 8 units.
ENGRMAE 199P. Individual Study. 14 Units.
For undergraduate Engineering majors in supervised but independent reading, research, or design. Students taking individual study for design are to submit a written paper to the instructor and to the Undergraduate Student Affairs Office in the School of Engineering.
(Design units: 14)
Grading Option: Pass/no pass only.
Repeatability: May be repeated for credit unlimited times.
ENGRMAE 200A. Engineering Analysis I. 4 Units.
Linear algebra, including vector spaces, matrices, linear systems of equations, least squares, and the eigenvalue problem. Ordinary differential equations, including analytical and numerical solution methods, stability, and phase portraits.
Restriction: Graduate students only.
ENGRMAE 200B. Engineering Analysis II. 4 Units.
Review of ordinary differential equations, including Bessel and Legendre functions. Partial differential equations, including the diffusion equation, Laplace's equation, and the wave equation. Fourier series, Fourier and Laplace transforms and their applications.
Restriction: Graduate students only.
ENGRMAE 205. Perturbation Methods in Engineering. 4 Units.
Asymptotic Expansions of integrals. Regular and singular perturbations. Perturbation methods for ordinary and partial differential equations. Matched asymptotic expansions. Multiplescale asymptotic expansion schemes. Not offered every year.
Prerequisite: ENGRMAE 200A and ENGRMAE 200B or knowledge of linear differential equations.
Restriction: Graduate students only.
ENGRMAE 206. Nonlinear Optimization Methods. 4 Units.
Numerical methods for constrained and unconstrained optimization. Necessary and sufficient conditions for optimimality. Conjugate gradient, variable metric algorithms. Gradient projection, penalty functions, and Lagrange methods. Not offered every year.
Prerequisite: ENGRMAE 200A.
Restriction: Graduate students only.
ENGRMAE 207. Methods of Computer Modeling in Engineering and the Sciences. 4 Units.
Unified introduction to finite volume, finite element, fieldboundary element, meshless, primal, dual, and mixed methods. Nonlinear problems posed by ordinary as well as partial differential equations. Computer implementations and comparisons of accuracy and convergence.
Restriction: Graduate students only.
ENGRMAE 210. Advanced Fundamentals of Combustion. 4 Units.
Premixed, nonpremixed, and heterogenous reactions, with emphasis on kinetics, thermal ignition, turbulent flame propogation, detonations, explosions, flammability limits, diffusion flame, quenching, flame stabilization, and particle and spray combustion. Not offered every year.
Prerequisite: ENGRMAE 224 or ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 212. Engineering Electrochemistry: Fundamentals and Applications. 4 Units.
Introduction to engineering electrochemistry fundamentals and applications. Examine thermodynamics and transport principles in typical electrochemical systems. Electrochemical sensors, batteries, fuel cells, and supercapacitors. Manufacturing aspects will also be covered.
Prerequisite: ENGRMAE 91.
Restriction: Graduate students only.
ENGRMAE 213. Electric Propulsion. 4 Units.
Space propulsion requirements and maneuvers, stressing those best suited to electric propulsion. An introduction to plasma physics. Electrothermal, electromagnetic and electrostatic accelerators, with emphasis in technologies (ion engines, Hall thrusters and colloidal thrusters) belonging to the latter family.
Prerequisite: ENGRMAE 112.
Restriction: Graduate students only.
Concurrent with ENGRMAE 113.
ENGRMAE 214. Fuel Cell Fundamentals and Technology. 4 Units.
Fuelcell systems design, operation, and materials. Electrochemistry and electrocatalysis, cell degradation, nature of fuelcell electrodes and electrolytes, fuels, and fuel processing. Provides broad insight into fuelcell science, technology, system design, and operation.
Prerequisite: ENGRMAE 110.
Restriction: Graduate students only.
ENGRMAE 215. Advanced Combustion Technology. 4 Units.
Pollutant formation and experimental methods. Formation of gaseous pollutants and soot; transformation and emission of fuel contaminants in gas, liquid, and solid fuel combustion; methods employed to measure velocity, turbulence intensity, temperature, composition, particle size; methods to visualize reacting flows.
Prerequisite: ENGRMAE 110 and ENGRMAE 200A and (ENGRMAE 230A or ENGRMAE 270A).
Restriction: Graduate students only.
ENGRMAE 216. Statistical Thermodynamics. 4 Units.
Statistics of independent particles, development of quantum mechanical description of atoms and molecules, application of quantum mechanics, evaluation of thermodynamics properties for solids, liquids, and gases, statistical mechanics of dependent particles (ensembles).
Prerequisite: ENGRMAE 91.
Restriction: Graduate students only.
ENGRMAE 217. Generalized Thermodynamics. 4 Units.
Generalized thermodynamics develops the laws of continuum thermodynamics from a set of plausible and intuitive postulates. The postulates are motivated qualitatively by a statistical description of matter and are justified by a posterior success for the resulting theory.
Prerequisite: ENGRMAE 91 or ENGRMAE 115.
Restriction: Graduate students only.
ENGRMAE 218. Sustainable Energy Systems. 4 Units.
Basic principles, design and operation of sustainable energy systems including wind, solar photovoltaic and thermal, hydroelectric, geothermal, oceanic, biomass combustion, advanced coal and next generation nuclear. Includes power generation, storage, and transmission for stationary power generation.
Prerequisite: ENGRMAE 115.
Restriction: Graduate students only.
Concurrent with ENGRMAE 118.
ENGRMAE 220. Conduction Heat Transfer. 4 Units.
Steady state and transient conduction heat transfer in one and multidimensional geometries. Analytical methods, exact and approximate. Numerical techniques are also included.
Prerequisite: ENGRMAE 120.
Restriction: Graduate students only.
ENGRMAE 221. Convective Heat and Mass Transfer. 4 Units.
Laminar and turbulent convective heat and mass transfer in external and internal flows. Forced and free convection. Exact and approximate solutions. Similarity solutions. Variable properties. Concentration boundary layer theory. Mass transfer conductance.
Prerequisite: ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 223A. Numerical Methods in Heat, Mass, and Momentum Transport (Laminar Flows) I. 4 Units.
Introduction to the discretization of various types of partial differential equations (parabolic, elliptic, hyperbolic). Finitevolume discretization for one and twodimensional flows. Use of a twodimensional elliptic procedure to predict sample laminar flows.
Corequisite: ENGRMAE 230A.
Prerequisite: ENGRMAE 230A.
Restriction: Graduate students only.
ENGRMAE 223B. Numerical Methods in Heat, Mass, and Momentum II. 4 Units.
Introduction to turbulence. Reynoldsaveraging of NavierStokes equations. Secondorder closure of the average equations. Use of twodimensional elliptic procedure to predict confined turbulent flows. Not offered every year.
Prerequisite: ENGRMAE 223A.
Restriction: Graduate students only.
ENGRMAE 224. Advanced Transport Phenomena. 4 Units.
Fundamentals of transport phenomena in fluid (gas and liquid), solid, and nano systems. Conservation equations, fundamentals of diffusion, ion transport, dispersion in turbulent/laminar flows, absorption, differential/staged distillation, transport in membranes, and nano/microscale transport phenomena. Not offered every year.
Prerequisite: ENGRMAE 120.
Restriction: Graduate students only.
ENGRMAE 226. Special Topics in Fluid and Thermal Sciences. 14 Units.
Special topics of current interest in fluid mechanics, heat and mass transfer, multiphase flows, or combustion. Emphasis could be placed on theory, computational methods, or experimental techniques.
Repeatability: Unlimited as topics vary.
Restriction: Graduate students only.
ENGRMAE 230A. Inviscid Incompressible Fluid Mechanics I. 4 Units.
Equations of motion. Vector notation. Flow kinematics. Potential flow and complex potential. Vorticity and circulation. Bernoulli's theorem. Crocco's theorem. Conformal, Joukowski, and SchwarzChristoffel transformations.
Prerequisite: ENGRMAE 130A.
Restriction: Graduate students only.
ENGRMAE 230B. Viscous Incompressible Fluid Mechanics II. 4 Units.
Review of mass, momentum, energy equations. Stress tensor, constitutive relations. Laminar flows. Stokes and Oseen flows. Selfsimilarity. Boundary layer theory: thinlayer approximation, FalknerSkan, Blasius solutions, integral methods. Jet, wake, cavity flows. Introduction to turbulence: instability, Reynolds averaging, mixing length.
Prerequisite: ENGRMAE 230A.
Restriction: Graduate students only.
ENGRMAE 230C. Compressible Fluid Dynamics. 4 Units.
Onedimensional unsteady flow; Riemann invariants, acoustics, shock tube. Twodimensional flow: shock polars, linear theory, similarity rules, method of characteristics. Three dimensional flow: slenderbody theory. Effects of viscosity and conductivity: laminar boundary layer, CroccoBusemann relations.
Prerequisite: ENGRMAE 230A or ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 230D. Theoretical Foundations of Fluid Mechanics. 4 Units.
Wellposed problems and boundary, initial, and interface conditions; strong and weak solutions. Similarity, perturbation theory and limit behavior, bifurcations. Dispersive and nondispersive wave propagation, acoustics, ship waves, internal gravity waves, water waves. Vortices: mutual interactions and stability. Jets, wakes, cavities.
Prerequisite: ENGRMAE 230A and ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 231. Fundamentals of Turbulence. 4 Units.
Phenomenon of turbulence. Reynolds equations. Dynamics of turbulence. Free turbulent shear flows. Wallbounded turbulent shear flows. Turbulent transport of scalar quantities. Spectral dynamics. Mathematical models of turbulence.
Prerequisite: ENGRMAE 230A and ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 233. Turbulent Free Shear Flows. 4 Units.
Practical and theoretical aspects of turbulent free shear flows. Instability, global scaling laws, mixing, and noise generation in incompressible and compressible shear layers, jets, and wakes. KelvinHelmholtz instability, near and farfield growth rates, effect of compressibility, aeroacoustics of jets.
Prerequisite: ENGRMAE 200B and ENGRMAE 230A and ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 236. Nonequilibrium Gas Dynamics. 4 Units.
Molecular description of fluid flow. Boltzmann equation. ChapmanEnskog expansion for flows with translational nonequilibrium. Shock structure. Inviscid flows with chemical and vibrational nonequilibrium. Not offered every year.
Prerequisite: ENGRMAE 230C.
Restriction: Graduate students only.
ENGRMAE 237. Computational Fluid Dynamics. 4 Units.
Mathematical, physical, and computational fundamentals of computational fluid dynamics, numerical methods for solving the Euler and NavierStokes equations. Topics include: finitedifference and finitevolume discretization, time marching methods, von Neumann analysis, upwinding, flux splitting, TVD, and other highresolution shockcapturing schemes.
Prerequisite: ENGRMAE 230C.
Restriction: Graduate students only.
ENGRMAE 238. Experimental Fluid Dynamics. 4 Units.
Concepts and techniques for measurement of fluid motion. Quantitative and qualitative flow visualization. Flow facilities, shadowgraph, schlieren, interferometer, thermal anemometer. Laser diagnostics, fluorescence, Rayleigh, Raman, Mie scattering. LaserDoppler, particleimage, and image correlation velocimetry. Three and fourdimensional digital imaging.
Prerequisite: ENGRMAE 230A and ENGRMAE 230B.
Restriction: Graduate students only.
ENGRMAE 241. Dynamics. 4 Units.
Kinematics and dynamics of threedimensional motions. Lagrange's equations, NewtonEuler equations. Applications include robot systems and spinning satellites.
Prerequisite: ENGRMAE 147.
Restriction: Graduate students only.
ENGRMAE 242. Robotics. 4 Units.
Spatial rigidbody transformations. Forward and inverse kinematics. Jacobian of serial and parallel chains. Screw coordinates and transformations. Rate and static analyses using screw theory. Singularity analysis. Trajectory generation. Not offered every year.
Restriction: Graduate students only.
ENGRMAE 243. Spaceflight Mechanics. 4 Units.
Accurate force modeling; spacecraft trajectory design problem; twobody dynamics; Lambert problem; orbit perturbations and maintenance; applications to Earth and Moon missions; gravity assists and threebody dynamics; applications to Moon, Mars, interplanetary missions; libration point missions and dynamical system theory methods.
Restriction: Graduate students only.
ENGRMAE 244. Theoretical Kinematics. 4 Units.
Spatial rigid body kinematics is presented with applications to robotics. Orthogonal Matrices, Rodrigues' formula, Quaternions, Plucker coordinates, screw theory, and dual numbers are studied using modern projective geometry and multilinear algebra. Applications include trajectory planning, inverse kinematics, and workspace analysis.
Restriction: Graduate students only.
ENGRMAE 245. Spatial Mechanism Design. 4 Units.
Fundamental kinematic theory required for planar, spherical, and spatial mechanism design. The focus is on algebraic methods for the exact solution of constraint equations. Not offered every year.
Restriction: Graduate students only.
ENGRMAE 247. MicroSystem Design. 4 Units.
Covers the fundamentals of the many disciplines needed for design of MicroElectroMechanical Systems (MEMS): microfabrication technology, structural mechanics on microscale, electrostatics, circuit interface, control, computeraided design, and system integration.
Same as EECS 278.
Restriction: Graduate students only.
ENGRMAE 249. MicroSensors and Actuators. 4 Units.
Introduction to the technology of MicroElectroMechanical Systems (MEMS). Fundamental principles and applications of important microsensors, actuation principles on microscale. Introduction to the elements of signal processing; processing of materials for micro sensor/actuator fabrication; smart sensors and microsensor/microactuator array devices.
Same as EECS 279.
Restriction: Graduate students only.
ENGRMAE 250. Biorobotics. 4 Units.
Sensors, actuators, and neural circuits for biological movement control from an engineering perspective. Current approaches to robotic and mechatronic devices that support and enhance human movement in health and following neurologic injuries like stroke and spinal cord injury.
Restriction: Graduate students only.
ENGRMAE 252. Fundamentals of Microfabrication. 4 Units.
Introduces Engineering and Science students to the science of miniaturization. Different options to make very small machines (micro and nano size) are reviewed, materials choices are discussed, scaling laws are analyzed, and many practical applications are listed.
Restriction: Graduate students only.
ENGRMAE 253. Advanced BIOMEMS Manufacturing Techniques. 4 Units.
Introduction to BIOMEMS. Advanced biotechnology/biomedicine equipment based on MEMS and NEMS. Fundamentals of MEMS/NEMS sensing techniques and the biological and physics principles involved and the preferred MEMS and NEMS manufacturing techniques.
Restriction: Graduate students only.
Concurrent with ENGRMAE 153.
ENGRMAE 254. Mechanics of Solids and Structures. 4 Units.
Finite deformation kinematics; stress and strain measures; invariance in solid mechanics; objective rates; constitutive theory of elastic and inelastic solids; rate formulations; computational approaches; theories of plates and shells; applications to aerospace vehicles.
Restriction: Graduate students only.
ENGRMAE 255. Composite Materials and Structures. 4 Units.
Motivation for composite materials. Different classifications according to the nature of the matrix (PMC, MMC, CMC) and the reinforcement topology (fibers, whiskers, particulates). Mechanical properties. Failure mechanisms. Designing with composite materials. Advantages and limitations of homogenization techniques for numerical modeling.
Prerequisite: ENGR 54 and (ENGRMAE 150 or ENGRCEE 150 or ENGR 150).
Restriction: Graduate students only.
Concurrent with ENGRMAE 155.
ENGRMAE 258. Mechanical Behavior of Solids  Continuum Theories. 4 Units.
Presents a continuum, macroscopic view of deformation and failure of solids. Covers elasticity, plasticity, viscoelasticity, viscoplasticity, fracture and fatigue. Topics include discussions of physical behavior, mathematical formalism and measurement techniques.
Prerequisite: ENGRMAE 254.
Restriction: Graduate students only.
ENGRMAE 259. Mechanical Behavior of Solids  Atomistic Theories. 4 Units.
Presents atomistic mechanisms that control mechanical behavior of materials. Covers plasticity, dislocation theory, strengthening mechanisms, hightemperature diffusion and gain boundary sliding, shear localization, void formation, ductile rupture, brittle fracture and fatigue.
Restriction: Graduate students only.
ENGRMAE 260. Current Issues Related to Tropospheric and Stratosheric Processes. 4 Units.
Examination of current issues related to the atmosphere, including energy usage; toxicology; effects on humans, forests, plants, and ecosystems; particulate matter (PM10); combustion; modeling and meteorology; airborne toxic chemicals and risk assessment; application of science to development of public policies.
Prerequisite: ENGRMAE 164 or ENGRMAE 261 or CHEM 245 or EARTHSS 240.
Same as CHEM 241.
ENGRMAE 261. Air Quality Modeling. 4 Units.
Fundamental principles necessary to understand the dynamics of air pollutants. Derivation and description of mathematical techniques for the numerical solution of the atmospheric equation. Formulation and development of air quality models. Not offered every year.
Prerequisite: ENGRMAE 230A and ENGRMAE 230B and ENGRMAE 10.
Restriction: Graduate students only.
ENGRMAE 270A. Linear Systems I. 4 Units.
Inputoutput and statespace representations of continuoustime linear systems. State transition matrices, Controllability and observability. Irreducible realizations. State feedback and observer design.
Prerequisite: ENGRMAE 170 and EECS 160A.
Restriction: Graduate students only.
ENGRMAE 270B. Linear Systems II. 4 Units.
Advanced topics in linear systems: bases, linear operator representations, and Jordan forms. Review of dynamical systems, and stability. Timevarying systems, discretetime representations, and multiinput/multioutput systems. Introduction to continuous and discrete time linear regulator (LQR) problems. Not offered every year.
Prerequisite: ENGRMAE 270A.
Restriction: Graduate students only.
ENGRMAE 272. Robust Control Theory. 4 Units.
Methods for control design of systems with uncertainty. Feedback stability and small gain theorem. Multivariable stability margins and multiplier theory. Hinfinityoptimal control, linear matrix inequalities. Not offered every year.
Prerequisite: ENGRMAE 270A.
Restriction: Graduate students only.
ENGRMAE 273. Control of Robot Systems. 4 Units.
Dynamic analysis and control system design of open and closedchained mechanisms. Methods for real time control of nonlinear systems. Lyapunov Stability. Advanced motion planning algorithms. Not offered every year.
Prerequisite: ENGRMAE 270A and ENGRMAE 241.
Restriction: Graduate students only.
ENGRMAE 274. Optimal Control. 4 Units.
Principles and methods of optimal control. Topics include: objectives and issues in controlling nonlinear systems; linear variational and adjoint equations; optimality conditions via variational calculus, maximum principle, and dynamic programming; solution methods; applications to control of robots and aerospace vehicles.
Restriction: Graduate students only.
ENGRMAE 275. Nonlinear Feedback Systems. 4 Units.
Advanced tools for feedback control system analysis and synthesis. Norms, operators, Lp spaces, contraction mapping theorem, Lyapunov techniques along with their extensions. Circle criterion positivity and passivity. Applications to nonlinear control methods, such as sliding mode or adaptive techniques.
Prerequisite: ENGRMAE 270B.
Restriction: Graduate students only.
ENGRMAE 276. Geometric Nonlinear Control. 4 Units.
Using the mathematics of differential geometry, a number of the concepts and results of linear systems theory have been extended to nonlinear systems. Describes these extensions and illustrate their use in nonlinear system analysis and design. Not offered every year.
Prerequisite: ENGRMAE 200A and ENGRMAE 270A.
Restriction: Graduate students only.
ENGRMAE 277. Introduction To Neural Control Systems. 4 Units.
Basic models and learning rules of artificial neural networks: perceptrons, multilayer neural networks and backpropagation, support vector machines, radial basis functions networks, CMAC networks. Introduction to Regularization and Statistical learning theory. Neural networks in system identification and control.
Restriction: Graduate students only.
ENGRMAE 278. Estimation Techniques for Tracking and Navigation. 4 Units.
Fixed bearing navigation, least squares, uncertainty modeling, minimum variance and maximum likelihood, covariance analysis and filter efficiency, GPS, orbit determination, GaussMarkov models, inertial navigation, Kalman filters, FokkerPlanck and Kushner equations, nonlinearfilters.
Prerequisite: ENGRMAE 200A and ENGRMAE 270A.
Restriction: Graduate students only.
ENGRMAE 279. Special Topics in Mechanical Systems. 4 Units.
Selected topics of current interest in mechanical systems. Topics include robotics, kinematics, control, dynamics, and geometric modeling.
Prerequisite: ENGRMAE 270A and ENGRMAE 241.
Repeatability: Unlimited as topics vary.
Restriction: Graduate students only.
ENGRMAE 284. Fundamentals of Experimental Design. 4 Units.
Fundamentals and principles of statistical experimental design and analysis. Emphasis addresses understanding and use of designed experiments, response surfaces, linear regression modeling, process optimization, and development of links between empirical and theoretical models. Not offered every year.
Restriction: Graduate students only.
ENGRMAE 294. Master of Science Thesis Project. 4 Units.
Tutorial in which masterslevel students taking the comprehensive examination option undertake a masterslevel research project.
Repeatability: May be repeated for credit unlimited times.
Restriction: Graduate students only.
ENGRMAE 295. Special Topics in Mechanical and Aerospace Engineering. 14 Units.
Special topics by individual faculty in major fields of interest.
Repeatability: Unlimited as topics vary.
ENGRMAE 296. Master of Science Thesis Research. 116 Units.
Individual research or investigation conducted in the pursuit of preparing and completing the thesis required for the M.S. in Engineering.
Repeatability: May be repeated for credit unlimited times.
ENGRMAE 297. Doctor of Philosophy Dissertation Research. 116 Units.
Individual research or investigation conducted in the pursuit of preparing and completing the dissertation required for the Ph.D. in Engineering.
Repeatability: May be repeated for credit unlimited times.
ENGRMAE 298. Seminars in Mechanical and Aerospace Engineering. 1 Unit.
Presentation of advanced topics and reports of current research efforts in mechanical engineering. Required of all graduate students in mechanical engineering.
Grading Option: Satisfactory/unsatisfactory only.
Repeatability: May be repeated for credit unlimited times.
ENGRMAE 299. Individual Research. 116 Units.
Individual research or investigation under the direction of an individual faculty member.
Repeatability: May be repeated for credit unlimited times.
Restriction: Consent of instructor to enroll