MEMS Courses and Registration Links

Note: Students may also take courses from other engineering departments within Duke's Pratt School of Engineering, and courses from other graduate schools at Duke with the permission of the adviser and the Director of Graduate Studies.

512. Thermodynamics of Electronic Materials. Basic thermodynamic concepts applied to solid state materials with emphasis on technologically relevant electronic materials such as silicon and GaAs. Thermodynamic functions, phase diagrams, solubilities and thermal equilibrium concentrations of point defects; nonequilibrium processes and the kinetic phenomena of diffusion, precipitation, and growth. 3 units.

514. Theoretical and Applied Polymer Science (GE, BB). An intermediate course in soft condensed matter physics dealing with the structure and properties of polymers and biopolymers. Introduction to polymer syntheses based on chemical reaction kinetics, polymer characterization. Emphasizes (bio)polymers on surfaces and interfaces in aqueous environments, interactions of (bio)polymer surfaces, including wetting and adhension phenomena. 3 units. C-L: Biomedical Engineering 529

515. Electronic Materials. An advanced course in materials science and engineering dealing with materials important for solid-state electronics and the various semiconductors. Emphasis on thermodynamic concepts and on defects in these materials. Materials preparation and modification methods for technological defects in these materials. Prerequisite: Mechanical Engineering 221L. 3 units.

517. Electromagnetic Processes in Fluids. Electromagnetic processes and transport phenomena in fluids is overviewed. Topics to be discussed include: Maxwell's equations, statistical thermodynamic processes, origin of surface forces (i.e.Van der Waals), plasma in gases and electrolyte distribution, wave propagation near boundaries and in complex media, transport equations in continuum limit. Consent of instructor required. 1 unit.

518. Biomedical Materials and Artificial Organs (GE, BB). 3 units. C-L: see Biomedical Engineering 525

519. Soft Wet Materials and Interfaces. The materials science and engineering of soft wet materials and interfaces. Emphasis on the relationships between composition, structure, properties and performance of macromolecules, self-assembling colloidal systems, linear polymers and hydrogels in aqueous and nonaqueous liquid media, including the role of water as an "organizing" solvent. Applications of these materials in biotechnology, medical technology, microelectronic technology, and nature's own designs of biological materials. 3 units.

524. Introduction to the Finite Element Method. 3 units. C-L: see Civil and Environmental Engineering 530

525. Nonlinear Finite Element Analysis. 3 units. C-L: see Civil and Environmental Engineering 630

527. Buckling of Engineering Structures. 3 units. C-L: see Civil and Environmental Engineering 647

531. Engineering Thermodynamics. Axiomatic formulations of the first and second laws. General thermodynamic relationships and properties of real substances. Energy, availability, and second law analysis of energy conversion processes. Reaction and multiphase equilibrium. Power generation. Low temperature refrigeration and the third law of thermodynamics. Thermodynamic design. 3 units.

532. Convective Heat Transfer. Models and equations for fluid motion, the general energy equation, and transport properties. Exact, approximate, and boundary layer solutions for laminar flow heat transfer problems. Use of the principle of similarity and analogy in the solution of turbulent flow heat transfer. Two-phase flow, nucleation, boiling, and condensation heat and mass transfer. 3 units.

533. Fundamentals of Heat Conduction. Fourier heat conduction. Solution methods including separation of variables, transform calculus, complex variables. Green's function will be introduced to solve transient and steady-state heat conduction problems in rectangular, cylindrical, and spherical coordinates. Microscopic heat conduction mechanisms, thermophysical properties, Boltzmann transport equation. Prerequisite: Mathematics 111 or consent of instructor. 3 units.

534. Fundamentals of Thermal Radiation. Radiative properties of materials, radiation-materials interaction and radiative energy transfer. Emphasis on fundamental concepts including energy levels and electromagnetic waves as well as analytical methods for calculating radiative properties and radiation transfer in absorbing, emitting, and scattering media. Applications cover laser-material interactions in addition to traditional areas such as combustion and thermal insulation. Prerequisite: Mathematics 353 or consent of instructor. 3 units.

536. Compressible Fluid Flow. Basic concepts of the flow of gases from the subsonic to the hypersonic regime. One-dimensional wave motion, the acoustic equations, and waves of finite amplitude. Effects of area change, friction, heat transfer, and shock on one-dimensional flow. Moving and oblique shock waves and Prandtl-Meyer expansion. Prerequisite: Mechanical Engineering 336L or equivalent. 3 units.

537. Mechanics of Viscous Fluids. Equations of motion for a viscous fluid, constitutive equations for momentum and energy transfer obtained from second-law considerations, general properties and exact solutions of the Navier-Stokes and Stokes (creeping-flow) equations, applications to problems of blood flow in large and small vessels. Prerequisite: Mechanical Engineering 336L or equivalent. 3 units.

538. Physicochemical Hydrodynamics. An introduction to the fundamental principles of physicochemical hydrodynamics with an emphasis on the coupling between transport processes and interfacial phenomena. Topics include Brownian motion and molecular diffusion, electrokinetics and electrohydrodynamics, capillary and wetting. Through homework sets and a course project, the students will develop physical intuition and scaling tools to single out the dominant physicochemical process in a complex system. Prerequisite: Mechanical Engineering 336L or consent of instructor. 3 units.

541. Intermediate Dynamics: Dynamics of Very High Dimensional Systems. 3 units. C-L: see Civil and Environmental Engineering 625

542. Modern Control and Dynamic Systems. Dynamic modeling of complex linear and nonlinear physical systems involving the storage and transfer of matter and energy. Unified treatment of active and passive mechanical, electrical, and fluid systems. State-space formulation of physical systems. Time and frequency-domain representation. Controllability and observability concepts. System response using analytical and computational techniques. Lyapunov method for system stability. Modification of system characteristics using feedback control and compensation. Emphasis on application of techniques to physical systems. 3 units.

543. Energy Flow and Wave Propagation in Elastic Solids. 3 units. C-L: see Civil and Environmental Engineering 626

544. Advanced Mechanical Vibrations. Advanced mechanical vibrations are studied primarily with emphasis on application of analytical and computational methods to machine design and vibration control problems. Equations of motion are developed using Lagrange's equations. A single degree-of-freedom system is used to determine free vibration characteristics and response to impulse, harmonic periodic excitations, and random. The study of two and three degree-of-freedom systems includes the determination of the eigenvalues and eigenvectors, and an in-depth study of modal analysis methods. The finite element method is used to conduct basic vibration analysis of systems with a large number of degrees of freedom. The student learns how to balance rotating machines, and how to design suspension systems, isolation systems, vibration sensors, and tuned vibration absorbers. 3 units.

545. Robot Control and Automation. Review of kinematics and dynamics of robotic devices; mechanical considerations in design of automated systems and processes, hydraulic and pneumatic control of components and circuits; stability analysis of robots involving nonlinearities; robotic sensors and interfacing; flexible manufacturing; man-machine interaction and safety consideration. Prerequisites: Mechanical Engineering 542 or equivalent and consent of instructor. 3 units.

546. Intelligent Systems. An introductory course on learning and intelligent-systems techniques for the modeling and control of dynamical systems. Review of theoretical foundations in dynamical systems, and in static and dynamic optimization. Numerical methods and paradigms that exploit learning and optimization in order to deal with complexity, nonlinearity, and uncertainty. Investigation of theory and algorithms for neural networks, graphical models, and genetic algorithms. Interdisciplinary applications and demonstrations drawn from engineering and computer science, including but not limited to adaptive control, estimation, robot motion and sensor planning. Prerequisites: Mathematics 111 or 216 Consent of instructor required. 3 units.

548. Multivariable Control. 3 units. C-L: see Civil and Environmental Engineering 648

555. Advanced Topics in Mechanical Engineering. Opportunity for study of advanced subjects related to programs within mechanical engineering tailored to fit the requirements of a small group. Approval of director of undergraduate or graduate studies required. Variable credit.

555.Bliss.1 Advanced Acoustics. Analysis methods in acoustics including wave generation, propagation, reflection, absorption, and scattering; sound propagation in a porous material; coupled structure acoustic systems; acoustic singularities: monopoles, dipoles, quadrupoles; radiation from flat surfaces; classical radiation and scattering solutions for cylinders and spheres; Green's functions, Radiation conditions, Modal analysis; sound fields in rooms and enclosures: energy methods; dissipation in fluid media; introduction to nonlinear effects. This course is open only to graduate students with some prior background in acoustics and applied mathematics. Prerequisites: Mechanical Engineering 572 or equivalent.

555.Blum.1 Computational Materials Science. Since quantum mechanics was invented, scientists have known that the properties of any material are, in principle, governed by a set of mathematical rules that we know exactly. The challenge is to use these laws that start at the smallest scale (atoms and electrons) to predict phenomena that are macroscopically important. The computers and methods that we have today are bringing us closer to this vision. This course covers modern computational techniques for the prediction of materials properties, beginning from the scale of electrons and atoms and connecting to materials challenges in experiments today. Subjects covered include Schrödinger's Equation and Density Functional Theory, Molecular Dynamics, and so-called multiscale approaches to connect quantities computed at the nanoscale to macroscopic properties. In addition to traditional classroom teaching, the class incorporates specific examples as explicit computer exercises for the participants.

555.Cummings.1  Introduction to Systems Engineering. Introduction to the theory, principles, and methods used to conceive, design and analyze systems. Focus areas include problem identification, description, modeling and simulation, design, test and evaluation issues, as well as broader lifecycle concerns. Two 1.5 hr classes weekly. Prerequisite: Graduate or senior standing.

555.Cummings.2 Human Robot Interaction. Introduction to the theory, principles, and methods used to model, design and test automated, autonomous or robotic systems that require or support human interaction. Focus areas include understanding the theory and mechanics of both human and robot perception and cognition, the design of interaction architectures such as teleoperation and human supervisory control, and how to conduct principled tests and experiments of human-robot systems. Prerequisite: Graduate student standing but undergraduate seniors will be allowed take the class on a space available basis.

555.Delaire.1 Diffraction and Spectrometry. This course focuses on the fundamentals and applications of x-ray and electron-beam based techniques for the characterization of materials, covering a wide range of analytical tools used in both scientific research and in industry. The class will cover a broad selection of topics in diffraction for the study of the atomic structure of materials, as well as spectrometry to investigate microscopic dynamics and composition. The class will provide the students with the fundamental concepts and a comprehensive understanding for applications to many x-ray / electron / neutron scattering techniques, for the study of a wide range of materials, including: energy materials, semiconductors, polymers, biomaterials, films, nano-materials, or structural materials.

555.Hauser.1 Amazon Robotics Challenge. Teams of students will design, implement, and integrate a robotic system to perform an intelligent physical task. Example projects might include navigation, coordinated movement, or object manipulation, among others. Perception, control, and artificial intelligence software will be applied to operate sensing and actuation hardware. Robot middleware for distributed system integration. Simulation prototyping, unit testing, and metrics for performance evaluation. Major design project.

555.Hotz.1 Interfacial Transport Phenomena. The main topics of the course are transport phenomena taking place on interfaces in renewable/sustainable energy technology. These transport phenomena comprise of charge transport (ions and electrons, for example), heat transfer (conduction, convection, radiation), and mass transfer (e.g. diffusion), sometimes coupled with chemical reactions (catalytic, electrochemical, photochemical, etc.). We will study these transport phenomena at interfaces, especially in the micro- and nano-scale and apply this knowledge to energy conversion and storage processes. All these interfacial transport phenomena are essential for photovoltaic cells, fuel cells, batteries, desalination, solarthermal devices, thermoelectric devices, and many others.

555.Howle.1 Introduction to Scientific Computing. Discrete representation of floating-point numbers; integration of ordinary differential equations and systems of differential equations; classification of and numeric solution of partial differential equations; accuracy, consistency, and stability; integration of functions; spectral representation of functions; introduction to finite difference, finite volume, and finite element methods; roots of equations; elements of linear algebra including LU and SV decomposition, and conjugate gradient methods for sparse linear systems; programming methods; graphical user interfaces; value and reference types; arrays and collections; input-output and serialization; generics and lambda expressions; object oriented programming; 2D and 3D computer graphics; threading and parallelization; code version control; unit testing; third party numeric libraries.

555.Howle.2 Probabilistic Pharmas. This course focuses on the mathematical modeling of drug absorption, distribution, metabolism, and excretion in living organisms with a particular emphasis on the transport of biologically inert and metabolic gasses in tissues under non-isobaric conditions. The student should have a background in statistics, computer programming, and mathematics, including systems of ordinary differential equations, partial differential equations, and linear algebra consistent with graduate student status in engineering, mathematics, physics, or biophysics.

555.Huang.1 Biomedical Microsystems. The objective of the course is to introduce students to the interdisciplinary field of biomedical microsystems with an emphasis on biomedical microelectromechanical systems (bioMEMS) and microtechnologies. Topics include Scaling laws, Micropatterning of substrates and cells, Microfluidics, Molecular biology on a chip, Cell-based chips for biotechnology, BioMEMS for cell biology, Tissue microengineering, and Microfabricated implants and sensors.

555.Kielb.1 THRUST Mini-Thesis Part 1. THRUST students individually select a thesis topic and submit it to Dr. Kielb by mid-September. A faculty advisor will be identified for each THRUST student. The submission should include a description of the topic and a planned approach. The topic should be related to turbomachinery aeromechanics.

  1. Meet for 2 hours (starting late Sept). There will be 8 meetings throughout the semester. Professors Dowell, Hall, Virgin, and Kielb will be in attendance (schedule permitting). Also, all aeroelastic research students in the department will be invited to attend. Dates and location are TBD.
  2. Each week 3 of 4 THRUST students will present their evaluation of a technical paper or book chapter related to their mini-thesis topic. Each will give a 15-minute description of their assigned paper including objectives, theory, key results, and conclusions. This will be followed by a 5-minute discussion.
  3. Over the semester each student will have 4 technical paper evaluations. It is suggested the papers should be selected from those of Turbo Expo. However, other papers related to turbomachinery aeromechanics are acceptable. Each paper evaluation will be documented with a short (approximately 2 pages) written report (pdf) and presentation charts (pdf or ppt). These documents will be emailed to Dr. Kielb by one day after each session.

555.Kielb.2 THRUST Mini-Thesis Part 2. In the spring semester each student will conduct and complete their mini-thesis. They should meet with his or her advisor approximately every two weeks to give a status report. Once a month the THRUST students will each present a ten-minute status report on their mini-thesis project (starting in late January). The charts will be emailed to Dr. Kielb.

555.Kopper.1 Virtual Reality Systems Research. This course will give an overview of virtual reality (VR) devices, applications, methods and techniques with a focus on the design and evaluation of immersive user experiences. The course will have theoretical and practical components where fundamental topics will be taught and research papers will be presented by students and discussed in class. Students will complete a semester-long project involving the design and evaluation of a VR application that proposes to solve a practical problem, preferably in the student's area of research. The student should have knowledge of computer programming, preferably with some experience with Unity3D or Unreal Engine. Familiarity with statistical methods consistent with graduate student status in engineering or computer science is expected.

555.Marszalek.1 Nanobiomechanics. The course focuses on the development of an understanding of the mechanical properties of biopolymers such as DNA, proteins and polysaccharides by examining these properties at the nanoscale level both theoretically using polymer elasticity models and experimentally through direct mechanical manipulations of individual molecules. The course consists of didactic lectures and many laboratory demonstrations and real experiments done by the students themselves. Objectives of the course are: i) Review of single-molecule force spectroscopy (SMFS) techniques that allow mechanical stretching and relaxing of single polymer chains to determine their force-extension relationships; ii) Review of SMFS instrumentation (Scanning Tunneling Microscopy (STM), Atomic Force Microscopy and Spectroscopy (AFM/AFS)), magnetic tweezers (MT), optical tweezers (OT)) and their physical principles, resolution and resolution limitations; iii) Principles of entropic and enthalpic elasticity of biopolymers and their roles in biology such as in passive elasticity of muscle; iv) Understanding force-induced mechanical unfolding and refolding reactions of individual proteins, DNA and sugar molecules; v) Principles of computer modeling of biopolymers and their force-induced structural alterations; vi) designing novel, DNA encoded, protein-based nanostructured biomaterials with tailored viscoelastic properties.

555.Mitzi.1 Thin-Film Photovoltaics. The earth receives approximately 120,000 terawatts (TWs) of solar energy annually (verses human consumption of ~15 TW), in a form that is renewable, reliable and geographically distributed. One particularly avenue for exploiting solar energy is the direct conversion of sunlight into electricity or photovoltaics (PV). This course will focus in on a promising class of solar cells based on thin-film absorbers, some of which are already commercialized (e.g., CdTe, CIGS), while others are on the cutting edge of new photovoltaics technology (e.g., perovskites). The course will employ a combination of lecture, directed reading and hands-on approaches to get a better appreciation of the advantages and challenges of this class of PV technologies. The hands-on component of the course will involve fabricating PV devices and employing contemporary characterization and modeling tools to evaluate device performance. Both the specific techniques employed, as well as the intellectual framework used in the course are more generally applicable to other solar cell and electronic device technologies. Note: 12 student limit on class size.

555.Staton.1 Ground Vehicle Dynamics. Review of dynamics in non-inertial reference frames, instantaneous centers, rolling, vehicle loads, braking, rollover and lateral instability, tire forces and torques, rolling resistance, basic vehicle aerodynamics, lateral stability, slip angle kinematics, suspension models and suspension response, roll analysis.

555.Staton.2 Dynamics of Electromechanical Systems & Piezoelectric Structures. Formulating equations of motion for mechanical, electrical, magnetic, electromechanical, and piezoelectric systems from a unified variational calculus framework. Analysis of the dynamic equations of motion for various transducers, actuators, energy harvesters, vibration isolators, transformers, microphones, etc. Active and passive damping of structures with piezoelectric transducers.

555.Stimpson.1 Introduction to Systems Engineering. Introduction to the theory, principles, and methods used to conceive, design and analyze systems. Focus areas include problem identification, description, modeling and simulation, design, test and evaluation issues, as well as broader lifecycle concerns. Two 1.5 hr classes weekly. Prerequisite: Graduate or senior standing.

555.West.1 Fundamentals of Biomaterials. This introductory course in Biomaterials will review the major classes of materials used in medical devices. This includes issues with synthesis, processing, fabrication and sterilization. Interactions of proteins and cells with materials, and resulting complications related to biocompatibility, will be introduced.

555.Yellen.1  Physics of Colloidal Dispersion. This class will cover various physical processes relevant to particles having a size scale of less than one micrometer. The topics covered include hydrodynamics, electrostatics in salty fluids, electrokinetics, Brownian motion, rheology, phase transitions, flocculation, sedimentation, and particle capture. Students will write programs in MATLAB to predict the trajectories of multiple particles in space, and will assess various properties about ensembles of trajectories.

555.Yellen.2 Biological Instrumentation. This class will cover various physical processes relevant to particles having a size scale of less than one micrometer. The topics covered include hydrodynamics, electrostatics in salty fluids, electrokinetics, Brownian motion, rheology, phase transitions, flocculation, sedimentation, and particle capture. Students will write programs in MATLAB to predict the trajectories of multiple particles in space, and will assess various properties about ensembles of trajectories.

555.Zauscher.1 Intermediate Materials Science. Structure and properties of solid materials: crystal structure and bonding, reciprocal space, theory of solids (free electron model, energy bands in solids etc.), concepts of thermally activated processes (defects and diffusion), origins of electromagnetic, thermal, and mechanical properties, soft condensed matter, and characterization methods.

555.Zavlanos.1 Nonlinear Optimization. Nonlinear Optimization is an advanced graduate course targeted to students that have taken introductory optimization before. The objective of this course is to introduce the students to the foundation of optimization. The class focuses on basic results of convex analysis and their application to the development of necessary and sufficient conditions of optimality and Lagrangian duality theory. Numerical methods of optimization and their convergence are also studied. The basic topics that are covered include basic optimization models, separation and representation of convex sets, properties of convex functions, optimality conditions, saddle points, constraint qualifications, Lagrange duality, unconstraint optimization, and primal and dual constrained optimization methods.

555.Zhong.1 Fundamentals of Shock Wave Lithotripsy. Introduction to the engineering concepts and technologies used in shock wave lithotripsy - a noninvasive ultrasonic treatment modality for kidney stone disease. Shock wave generation, focusing, and propagation in water and biological tissues will be discussed, as well as measurement techniques for lithotripter field characterization and analysis of shock wave-stone-tissue interactions. Milestone studies on the mechanisms of stone fragmentation and tissue injury will be reviewed with emphasis on technology improvement. Laboratory projects are designed to enrich the learning experience of students in developing essential skills for independent research.

571. Aerodynamics. Fundamentals of aerodynamics applied to wings and bodies in subsonic and supersonic flow. Basic principles of fluid mechanics analytical methods for aerodynamic analysis. Two-and three-dimensional wing theory, slender-body theory, lifting surface methods, vortex and wave drag. Brief introduction to vehicle design, performance and dynamics. Special topics such as unsteady aerodynamics, vortex wake behavior, and propeller and rotor aerodynamics. This course is open only to undergraduate seniors and graduate students. Prerequisites: Mechanical Engineering 336L or equivalent, and Mathematics 353 or equivalent. 3 units.

572. Engineering Acoustics. Fundamentals of acoustics including sound generation, propagation, reflection, absorption, and scattering. Emphasis on basic principles and analytical methods in the description of wave motion and the characterization of sound fields. Applications including topics from noise control, sound reproduction, architectural acoustics, and aerodynamic noise. Occasional classroom or laboratory demonstration. This course is open only to undergraduate seniors and graduate students. Prerequisites: Mathematics 353 or equivalent or consent of instructor. 3 units.

626. Plates and Shells. 3 units. C-L: see Civil and Environmental Engineering 646

627. Linear System Theory. 3 units. C-L: see Civil and Environmental Engineering 627

631. Intermediate Fluid Mechanics. A survey of the principal concepts and equations of fluid mechanics, fluid statics, surface tension, the Eulerian and Lagrangian description, kinematics, Reynolds transport theorem, the differential and integral equations of motion, constitutive equations for a Newtonian fluid, the Navier-Stokes equations, and boundary conditions on velocity and stress at material interfaces. 3 units.

632. Advanced Fluid Mechanics. Flow of a uniform incompressible viscous fluid. Exact solutions to the Navier-Stokes equation. Similarity methods. Irrotational flow theory and its applications. Elements of boundary layer theory. Prerequisite: Mechanical Engineering 631 or consent of instructor. 3 units.

633. Lubrication. Derivation and application of the basic governing equations for lubrication; the Reynolds equation and energy equation for thin films. Analytical and computational solutions to the governing equations. Analysis and design of hydrostatic and hydrodynamic slider bearings and journal bearings. Introduction to the effects of fluid inertia and compressibility. Dynamic characteristics of a fluid film and effects of bearing design on dynamics of machinery. Prerequisites: Mathematics 353 and Mechanical Engineering 336L. 3 units.

639. Computational Fluid Mechanics and Heat Transfer. An exposition of numerical techniques commonly used for the solution of partial differential equations encountered in engineering physics. Finite-difference schemes (which are well-suited for fluid mechanics problems); notions of accuracy, conservation, consistency, stability, and convergence. Recent applications of weighted residuals methods (Galerkin), finite-element methods, and grid generation techniques. Through specific examples, the student is guided to construct and assess the performance of the numerical scheme selected for the particular type of transport equation (parabolic, elliptic, or hyperbolic). 3 units.

643. Adaptive Structures: Dynamics and Control. Integration of structural dynamics, linear systems theory, signal processing, transduction device dynamics, and control theory for modeling and design of adaptive structures. Classical and modern control approaches applied to reverberant plants. Fundamentals of adaptive feedforward control and its integration with feedback control. Presentation of a methodical design approach to adaptive systems and structures with emphasis on the physics of the system. Numerous MATLAB examples provided with course material as well as classroom and laboratory demonstrations. 3 units.

668. Cellular and Biosurface Engineering. A combination of fundamental concepts in materials science, colloids, and interfaces that form a basis for characterizing: the physical properties of biopolymers, microparticles, artificial membranes, biological membranes, and cells; and the interactions of these materials at biofluid interfaces. Definition of the subject as a coherent discipline and application of its fundamental concepts to biology, medicine, and biotechnology. Prerequisite: Mechanical Engineering 208 or consent of instructor. 3 units.

671. Advanced Aerodynamics. Advanced topics in aerodynamics. Conformal transformation techniques. Three-dimensional wing theory, optimal span loading for planar and nonplanar wings. Ground effect and tunnel corrections. Propeller theory. Slender wing theory and slender body theory, transonic and supersonic area rules for minimization of wave drag. Numerical methods in aerodynamics including source panel and vortex lattice methods. Prerequisite: Mechanical Engineering 571. 3 units.

672. Unsteady Aerodynamics. Analytical and numerical methods for computing the unsteady aerodynamic behavior of airfoils and wings. Small disturbance approximation to the full potential equation. Unsteady vortex dynamics. Kelvin impulse and apparent mass concepts applied to unsteady flows. Two-dimensional unsteady thin airfoil theory. Time domain and frequency domain analyses of unsteady flows. Three-dimensional unsteady wing theory. Introduction to unsteady aerodynamic behavior of turbomachinery. Prerequisite: Mechanical Engineering 571. 3 units.

676. Advanced Acoustics. Analysis methods in acoustics including wave generation, propagation, reflection, absorption, and scattering; sound propagation in a porous material; coupled structure acoustic systems; acoustic singularities: monopoles, dipoles, quadrupoles; radiation from flat surfaces; classical radiation and scattering solutions for cylinders and spheres; Green's functions, Radiation conditions, Modal analysis; sound fields in rooms and enclosures: energy methods; dissipation in fluid media; introduction to nonlinear effects. This course is open only to graduate students with some prior background in acoustics and applied mathematics. Prerequisites: Mechanical Engineering 572 or equivalent. 3 units.

701. Capillarity & Wetting. Opportunity for study of advanced subjects related to programs within mechanical engineering tailored to fit the requirements of a small group. Approval of director of undergraduate or graduate studies required. 3 units.

702. Constructal Thermal Design. Elements of thermal design, thermodynamic optimization. The constructal law projects. The generation and pursuit of flow configurations that perform better. 3 units.

711. Nanotechnology Materials Lab. This course provides an introduction to advanced methods for the characterization and fabrication of materials, nanostructures, and devices. Cleanroom methods to be covered include lithography, evaporation, and etching. Characterization methods include electron microscopy, atomic force microscopy, X-ray photoelectron spectroscopy, and optical spectroscopy. Students will receive an overview of the techniques in the Shared Materials Instrumentation Facility through lectures and demonstrations. In the lab section, each student will engage in a project that focuses on those capabilities that are needed for their research, and will receive training and certification on that equipment. 3 units. C-L: Electrical and Computer Engineering 721

717S. Biological Engineering Seminar Series (CBIMMS and CBTE). Seminar series featuring in alternate weeks invited speakers and pre-seminar discussions. Research topics in biological engineering, with emphasis on bioinspired materials and materials systems, biomolecular, and tissue engineering. Enrollment is required of all BIMMS and BTE certificate program students in their first and second year. Open to others for credit or audit. Instructor consent required. 1 unit. C-L: Biomedical Engineering 711S

718S. Biological Engineering Seminar Series (CBIMMS and CBTE). Seminar series featuring in alternate weeks invited speakers and pre-seminar discussions. Research topics in biological engineering, with emphasis on bioinspired materials and materials systems, biomolecular, and tissue engineering. Enrollment is required of all BIMMS and BTE certificate program students in their first and second year. Open to others for credit or audit. Instructor consent required. 1 unit. C-L: Biomedical Engineering 712S

738. Mechanics of Viscous Fluids. 3 units.

741. Nonlinear Control Systems. Analytical, computational, and graphical techniques for solution of nonlinear systems; Krylov and Bogoliubov asymptotic method; describing function techniques for analysis and design; Liapounov functions and Lure's methods for stability analysis; Aizerman and Kalman conjectures; Popov, circle, and other frequency-domain stability criteria for analysis and synthesis. Prerequisite: Mechanical Engineering 542 or consent of instructor. 3 units.

742. Nonlinear Mechanical Vibration. A comprehensive treatment of the role of nonlinearities in engineering dynamics and vibration. Analytical, numerical, and experimental techniques are developed within a geometrical framework. Prerequisite: Mechanical Engineering 541 or 544 or equivalent. 3 units.

758S. Curricular Practical Training. Curricular Practical Training. Student gains practical Mechanical Engineering and Materials Science experience by taking a job in industry and writing a report about this experience. Course requires prior consent from the student's advisor and from the Director of Graduate Studies and may be repeated with consent of the advisor and the Director of Graduate Studies. Variable credit.

759. Special Readings in Mechanical Engineering. Individual readings in advanced study and research areas of mechanical engineering. Approval of director of graduate studies required. 1 to 3 units. Variable credit.

775. Aeroelasticity. A study of the statics and dynamics of fluid/structural interaction. Topics covered include static aeroelasticity (divergence, control surface reversal), dynamic aeroelasticity (flutter, gust response), unsteady aerodynamics (subsonic, supersonic, and transonic flow), and a review of the recent literature including nonlinear effects such as chaotic oscillations. Prerequisite: Mathematics 230 and consent of instructor. 3 units.

Updated August 29, 2017