Mechanical Engineering

220 S. W. Mudd, MC 4703
212-854-0661
me.columbia.edu

Mechanical engineering is a diverse subject that derives its breadth from the need to design and manufacture everything from small individual parts/devices (e.g., micro-scale sensors, inkjet printer nozzles) to large systems (e.g., spacecraft and machine tools). The role of a mechanical engineer is to take a product from an idea to the marketplace. In order to accomplish this, a broad range of skills are needed. The particular skills in which the mechanical engineer acquires deeper knowledge are the ability to understand the forces and the thermal environment that a product, its parts, or its subsystems will encounter; design them for functionality, aesthetics, and the ability to withstand the forces and the thermal environment they will be subjected to; determine the best way to manufacture them and ensure they will operate without failure. Perhaps the one skill that is the mechanical engineer’s exclusive domain is the ability to analyze and design objects and systems with motion.

Since these skills are required for virtually everything that is made, mechanical engineering is perhaps the broadest and most diverse of engineering disciplines. Hence mechanical engineers play a central role in such industries as automotive (from the car chassis to its every subsystem—engine, transmission, sensors); aerospace (airplanes, aircraft engines, control systems for airplanes and spacecraft); biotechnology (implants, prosthetic devices, fluidic systems for pharmaceutical industries); computers and electronics (disk drives, printers, cooling systems, semiconductor tools); microelectromechanical systems, or MEMS (sensors, actuators, micro power generation); energy conversion (gas turbines, wind turbines, solar energy, fuel cells); environmental control (HVAC, air-conditioning, refrigeration, compressors); automation (robots, data/image acquisition, recognition, and control); manufacturing (machining, machine tools, prototyping, microfabrication).

To put it simply, mechanical engineering deals with anything that moves. Mechanical engineers learn about materials, solid and fluid mechanics, thermodynamics, heat transfer, control, instrumentation, design, and manufacturing to realize/ understand mechanical systems. Specialized mechanical engineering subjects include biomechanics, cartilage tissue engineering, energy conversion, laser-assisted materials processing, combustion, MEMS, microfluidic devices, fracture mechanics, nanomechanics, mechanisms, micropower generation, tribology (friction and wear), and vibrations. The American Society of Mechanical Engineers (ASME) currently lists thirty-six technical divisions, from advanced energy systems and aerospace engineering to safety engineering and tribology.

The breadth of the mechanical engineering discipline allows students a variety of career options beyond some of the industries listed above. Regardless of the particular future path they envision for themselves after they graduate, their education would have provided them with the creative thinking that allows them to design an exciting product or system, the analytical tools to achieve their design goals, the ability to meet several sometimes conflicting constraints, and the teamwork needed to design, market, and produce a system. These skills also prove to be valuable in other endeavors and can launch a career in medicine, law, consulting, management, banking, finance, and so on.

For those interested in applied scientific and mathematical aspects of the discipline, graduate study in mechanical engineering can lead to a career of research and teaching.

Current Research Activities

Current research activities in the Department of Mechanical Engineering are in the areas of controls and robotics, energy and micropower generation, fluid mechanics, heat/mass transfer, mechanics of materials, manufacturing, material processing, MEMS, nanotechnology, and biomechanics and biofluids.

Biomechanics, Biofluids, and Mechanics of Materials

Some of the current research in biomechanics is concerned with the application of continuum theories of mixtures to problems of electromechanical behavior of soft biological tissues, contact mechanics, lubrication of diarthrodial joints, and cartilage tissue engineering. (Ateshian)

The Kysar group studies the mechanics and mechanical properties of small-scale structures and materials. Examples of material systems include two-dimensional materials such as graphene, nanoporous metal thin films, metallic and polymeric composites containing nanoscale strengthening agents, single crystal metals, and the ear's round Window Membrane, among several others. The work is experimental, theoretical, and computational in nature. The ultimate goal is to understand and predict the mechanical behavior based on fundamental physics and chemistry through the development of multiple length scale models.

At the Kasza Living Materials Lab we are interested in how cells self-organize to build tissues and organs with mechanical properties that are required for proper function. A major focus is to uncover fundamental mechanical and biological mechanisms that coordinate the behaviors of cells in developing tissues. To do this, we study morphogenesis in developing embryos of model organisms and combine approaches such as in vivo imaging, optogenetics, and biomechanical measurements. We are leveraging this knowledge to design and build novel cell-based tissue structures and systems. Our goals are to shed light on human health and disease and learn how to better build functional tissues in the lab.

Other areas of biomechanics include characterizing the structure-function behavior of the cervix during the remodeling events of pregnancy and characterizing the mechanical properties of the eye-wall in relation to glaucoma. Research in our lab includes the mechanical testing of biological soft tissues, the biochemical analysis of tissue microstructure, and material modeling based on structure-mechanical property relationships. In collaboration with clinicians, our goal is to understand the etiologies of tissue pathology and disease. (Myers)

A surgically implantable pediatric valve device that can 'grow with the child' would revolutionize current treatment for neonates born with valve disease. In close collaboration with Dr. David Kalfa, who is a pediatric heart surgeon at Columbia University Medical Center, and Dr. Haim Waisman from the Civil Engineering department, the Kysar and Vedula groups are involved in a multidisciplinary NIH-funded project to develop an expendable biostable polymeric valved conduit. The device would be implanted surgically to reconstruct the right ventricular outflow tract in neonates and then expanded by successive transcatheter procedures to reach the adult size. This project involves material design and characterization of the growth potential of a viscoplastic polymer, numerically model the fluid-structure interaction of the valved conduit, optimization for valve competence at every stage of expansion, and assess the biocompatibility and durability in animal models. (Kysar, Vedula)

Control, Robotics, Design, and Manufacturing

Control research emphasizes iterative learning control (ILC) and repetitive control (RC). ILC creates controllers that learn from previous experience performing a specific command, such as robots on an assembly line, aiming for high-precision mechanical motions. RC learns to cancel repetitive disturbances, such as precision motion through gearing, machining, satellite precision pointing, particle accelerators, etc. Time optimal control of robots is being studied for increased productivity on assembly lines through dynamic motion planning. Research is also being conducted on improved system identification, making mathematical models from input-output data. The results can be the starting point for designing controllers, but they are also studied as a means of assessing damage in civil engineering structures from earthquake data. (Longman)

Robotics research focuses on design of novel rehabilitation machines and training algorithms for functional rehabilitation of neural impaired adults and children. The research also aims to design intelligent machines using nonlinear system theoretic principles, computational algorithms for planning, and optimization.

Robotic Systems Engineering (ROSE) Lab develops technology capable of solving difficult design problems, such as cable-actuated systems, under-actuated systems, and others. Robotics and Rehabilitation (ROAR) Lab focuses on developing new and innovative technologies to improve the quality of care and patient outcomes. The lab designs novel exoskeletons for upper and lower limbs training of stroke patients, and mobile platforms to improve socialization in physically impaired infants. (Agrawal)

The Robotic Manipulation and Mobility (ROAM) Lab focuses on versatile manipulation and mobility in robotics, aiming for robotic applications pervasive in everyday life. Research areas include manipulation and grasping, interactive or Human-in-the-Loop robotics, dynamic simulators and virtual environments, machine perception and modeling, and many more. We are interested in application domains such as versatile automation in manufacturing and logistics, assistive and rehabilitation robotics in healthcare, space robotics, and mobile manipulation in unstructured environments. (Ciocarlie)

At the Creative Machines Lab (CreativeMachines.org) we are interested in robots that create and robots that are themselves creative. We develop novel autonomous systems that can design and make other machines—automatically. We are working on a self-replicating robots, self-aware robots, robots that improve themselves over time, and robots that compete and cooperate with other robots. We build robots that paint art, cook food, build bridges and fabricate other robots. Our work is inspired from biology, as we seek new biological concepts for engineering and new engineering insights into biology. (Lipson)

In the area of advanced manufacturing processes and systems, current research concentrates on laser materials processing. Investigations are being carried out in laser micromachining; laser forming of sheet metal; microscale laser shock-peening, material processing using improved laser-beam quality. Both numerical and experimental work is conducted using state-of-the-art equipment, instruments, and computing facilities. Close ties with industry have been established for collaborative efforts. (Yao)

Energy, Fluid Mechanics, and Heat/Mass Transfer

In the area of energy, one effort is in energy systems with an eye toward cost-effective decarbonization using technologies that are at hand or near-ready. The interaction of the electric grid, with buildings, transportation, gas networks, storage and electrofuels is being studied. Another effort addresses the integration of thermal storage into HVAC systems for efficient use of variable renewable energy. The development of measurement, monitoring and control systems using IoT devices for use in micrositing and operation of microgrids and enabling flexibility or demand response of load. (Modi)

In the area of energy, demand estimation and prediction of interest using utility data, satellite imagery and lean, robust field data capture. (Modi)

In the area of nanoscale thermal transport, our research efforts center on the enhancement of thermal radiation transport across interfaces separated by a nanoscale gap. The scaling behavior of nanoscale radiation transport is measured using a novel heat transfer measurement technique based on the deflection of a bimaterial atomic force microscope cantilever. Numerical simulations are also performed to confirm these measurements. The measurements are also used to infer extremely small variations of van der Waals forces with temperature. This enhancement of radiative transfer will ultimately be used to improve the power density of thermophotovoltaic energy conversion devices. (Narayanaswamy)

Also in the area of energy, research is being performed to improve the thermochemical models used in accelerating development of cleaner, more fuel-efficient engines through computational design. In particular, data-driven approaches to creating high-accuracy, uncertainty-quantified thermochemicals models are being developed that utilize both theoretical and experimental data. Special emphasis is placed on the generation and analysis of data across the full range of relevant scales—from the small-scale electronic behavior that governs molecular reactivity to the large-scale turbulent, reactive phenomena that govern engine performance. (Burke)

The Vedula group aims to advance clinical management of cardiovascular disease using computational modeling. We are developing novel computational techniques for performing patient-specific modeling of the cardiovascular system aimed at understanding the role of biomechanical factors in disease and development, device design, and 'virtual' surgery planning. Computational modeling combined with machine learning and data-mining strategies provides unprecedented opportunities to not only examine acute response to treatment, but also predict and risk stratify patients susceptible to long-term remodeling and dysfunction. (Vedula)

The Vedula group is involved in developing multiscale-multiphysics models of the heart coupling cardiac electrophysiology, tissue mechanics, blood flow and valvular interactions, thereby creating an integrated heart model, that could be used to study a variety of cardiac and valvular pediatric and adult cardiovascular disease. A few applications that we are particularly interested in include cardiomyopathies, valvular calcifications and device design, remodeling and dysfunction in congenital heart disease. (Vedula)

In the area of energy, the Building Physics and Energy Systems Laboratory aims to develop new modeling techniques to understand the dynamics of energy demand necessary to facilitate decarbonization in buildings. Research focuses on developing new modeling and simulation methods to provide more accurate estimates of time-vary demand, model-based control system to enable demand flexibility, and hybrid physics and statistical modeling approaches to provide accurate estimates of the timing of demand at the urban scale. (Howard)

MEMS and Nanotechnology

In these areas, research activities focus on power generation systems, nanostructures for photonics, fuel cells and photovoltaics, and microfabricated adaptive cooling skin and sensors for flow, shear, and wind speed. Basic research in fluid dynamics and heat/mass transfer phenomena at small scales also support these activities. (Hone, Kysar, Lin, Modi, Narayanaswamy)

We study the dynamics of microcantilevers and atomic force microscope cantilevers to use them as microscale thermal sensors based on the resonance frequency shifts of vibration modes of the cantilever. Bimaterial microcantilever-based sensors are used to determine the thermophysical properties of thin films. (Narayanaswamy)

Research in the area of nanotechnology focuses on nanomaterials such as
nanotubes and nanowires and their applications, especially in nanoelectromechanical systems (NEMS). A laboratory is available for the synthesis of graphene and other two-dimensional materials using chemical vapor deposition (CVD) techniques and to build devices using electron-beam lithography and various etching techniques. This effort will seek to optimize the fabrication, readout, and sensitivity of these devices for numerous applications, such as sensitive detection of mass, charge, and magnetic resonance. (Hone, Kysar, Modi)

Research in BioMEMS aims to design and create MEMS and micro/nanofluidic systems to control the motion and measure the dynamic behavior of biomolecules in solution. Current efforts involve modeling and understanding the physics of micro/nanofluidic devices and systems, exploiting polymer structures to enable micro/nanofluidic manipulation, and integrating MEMS sensors with microfluidics for measuring physical properties of biomolecules. (Lin)

The Schuck group aims to characterize, understand, and control nanoscale light-matter interactions, with a primary focus on sensing, engineering, and exploiting novel optoelectronic phenomena emerging from nanostructures and interfaces. This offers unprecedented opportunities for developing innovative devices that rely on the dynamic manipulation of single photons and charge carriers. We are continuously developing new multimodal and multidimensional spectroscopic methods that provide unique access to optical, electrical, and structural properties at relevant length scales in real environments encountered in energy and biological applications. (Schuck)

Biological Engineering and Biotechnology

Active areas of research in the musculoskeletal biomechanics laboratory include theoretical and experimental analysis of articular cartilage mechanics; theoretical and experimental analysis of cartilage lubrication, cartilage tissue engineering, and bioreactor design; growth and remodeling of biological tissues; cell mechanics; and mixture theory for biological tissues with experiments and computational analysis. (Ateshian)

The Hone laboratory studies two-dimensional (2D) materials such as graphene, with efforts spanning synthesis of single crystals and thin films; device nanofabrication; and testing of electronic, optical, mechanical, and other properties. The group develops methods to combine 2D materials into layered heterostructures, which are used to explore fundamental properties, achieve new functionality, and enable applications in electronics, photonics, sensing, and other areas. (Hone)

The Hone group uses nanofabrication techniques to create tools for studying the role of mechanical forces and geometry in cellular biology. These investigations seek to understand how cells sense the mechanical properties or physical shape of their surroundings, a process that plays a major role in maintaining healthy cellular and tissue function. (Hone)

Microelectromechanical systems (MEMS) are being exploited to enable and facilitate the characterization and manipulation of biomolecules. MEMS technology allows biomolecules to be studied in well-controlled micro/nanoenvironments of miniaturized, integrated devices, and may enable novel biomedical investigations not attainable by conventional techniques. The research interests center on the development of MEMS devices and systems for label-free manipulation and interrogation of biomolecules. Current research efforts primarily involve microfluidic devices that exploit specific and reversible, stimulus-dependent binding between biomolecules and receptor molecules to enable selective purification, concentration, and label-free detection of nucleic acid, protein, and small molecule analytes; miniaturized instruments for label-free characterization of thermodynamic and other physical properties of biomolecules; and subcutaneously implantable MEMS affinity biosensors for continuous monitoring of glucose and other metabolites. (Kysar, Lin)

The Kysar group has a project to design and develop a method to deliver therapeutics into the inner ear through the Round Window Membrane (RWM) that serves as a portal for acoustic energy between the middle ear and inner ear. This involves the design and fabrication of arrays of microneedles, the measurements of diffusive flux of chemical species across a perforated RWM, and the design, delivery, and testing of surgical tools, all in close collaboration with Anil K. Lalwani, M.D., at Columbia University Medical Center. (Kysar)

The Schuck group is involved in engineering novel near-infrared (NIR) upconverting nanoparticles (UCNPs) and UCNP-based microdevices for large-scale sensing applications, including deployment in projects aimed at deep-tissue imaging and the control of neural function deep within brain tissue. UCNPs have the potential to overcome nearly all limitations of current optical probes and sensors, which have run into fundamental chemical and photophysical incompatibilities with living systems. (Schuck)

Mass radiological triage is critical after a large-scale radiological event because of the need to identify those individuals who will benefit from medical intervention as soon as possible. The goal of the ongoing NIH-funded research project is to design a prototype of a fully automated, ultra high throughput biodosimetry. This prototype is supposed to accommodate multiple assay preparation protocols that allow the determination of the levels of radiation exposure that a patient received. The input to this fully autonomous system is a large number of capillaries filled with blood of patients collected using finger sticks. These capillaries are processed by the system to distill the micronucleus assay in lymphocytes, with all the assays being carried out in situ in multiwell plates. The research effort on this project involves the automation system design and integration including hierarchical control algorithms, design and control of custom built robotic devices, and automated image acquisition and processing for sample preparation and analysis. (Yao)

A technology that couples the power of multidimensional microscopy (three spatial dimensions, time, and multiple wavelengths) with that of DNA array technology is investigated in an NIH-funded project. Specifically, a system is developed in which individual cells selected on the basis of optically detectable multiple features at critical time points in dynamic processes can be rapidly and robotically micromanipulated into reaction chambers to permit amplified DNA synthesis and subsequent array analysis. Customized image processing and pattern recognition techniques are developed, including Fisher’s linear discriminant preprocessing with neural net, a support vector machine with improved training, multiclass cell detection with error correcting output coding, and kernel principal component analysis. (Yao)

Facilities for Teaching and Research

The undergraduate laboratories, occupying an area of approximately 6,000 square feet of floor space, are the site of experiments ranging in complexity from basic instrumentation and fundamental exercises to advanced experiments in such diverse areas as automatic controls, heat transfer, fluid mechanics, stress analysis, vibrations, microcomputer-based data acquisition, and control of mechanical systems.

Equipment includes microcontrollers and microprocessors, analog-to-digital and digital-to-analog converters, a tensile testing system equipped with digital image correlation (DIC) capabilities, a subsonic wind tunnel, and 3D printers as well as laser cutters. The undergraduate laboratory also houses experimental setups for the understanding and performance evaluation of a small steam power generation system, a heat exchanger, a compressor, a car suspension simulator, a torsion tester, and a hydrogen fuel cell. Part of the undergraduate laboratory is a staffed machine shop with machining tools such as CNC vertical milling machines, a CNC lathe, standard vertical milling machines, engine and bench lathes, surface grinder, band saw, drill press, tool grinders, a horizontal bandsaw, several other mills used for light machining and circuit board fabrication.

A mechatronics laboratory affords the opportunity for hands-on experience with microcomputer-embedded control of electromechanical systems. Facilities for the construction and testing of analog and digital electronic circuits aid the students in learning the basic components of the microcomputer architecture. The laboratory is divided into work centers for two-person student laboratory teams. Each work center is equipped with a mixed signal oscilloscope, several power supplies (for low-power electronics and higher power control), a function generator, a multimeter, a protoboard for building circuits, a microcomputer circuit board (which includes the microcomputer and peripheral components), a microcomputer programmer, and a personal computer that contains a data acquisition board. The data acquisition system serves as an oscilloscope, additional function generator, and spectrum analyzer for the student team. The computer also contains a complete microcomputer software development system, including editor, assembler, simulator, debugger, and C compiler. The laboratory is also equipped with a portable oscilloscope, an EPROM eraser (to erase microcomputer programs from the erasable chips), a logic probe, and an analog filter bank that the student teams share, as well as a stock of analog and digital electronic components.

The CAD Lab is a modern computer-aided design laboratory equipped with 30 Dell Precision 5820 workstations. Machines have software for design, CAD, FEM, and CFD, including Altair Analysis Suite, AutoCAD, COMSOL Multiphysics, Matlab, RStudio, Solidworks, Wolfram Mathematica. The research facilities are located within within individual or group research laboratories in the department, and these facilities are being continually upgraded. To view the current research capabilities please visit the various laboratories within the research section of the department website. The students and staff of the department can, by prior arrangement, use much of the equipment in these research facilities. Through their participation in the NSF-MRSEC center, the faculty also have access to shared instrumentation and the clean room located in the Schapiro Center for Engineering and Physical Science Research. Columbia University’s extensive library system has superb scientific and technical collections.

Email and computing services are maintained by Columbia University Information Technology (CUIT). For more information visit www.cuit.columbia.edu.

Chair

Hod Lipson
248 S. W. Mudd

Director of Finance and Administration

Sara McDonald
220 S.W. Mudd

Professors

Sunil Agrawal
Gerard A. Ateshian
Mary C. Boyce
James Hone
Jeffrey W. Kysar
Qiao Lin
Hod Lipson
Richard W. Longman
Vijay Modi
Y. Lawrence Yao

Associate Professors

Michael P. Burke
Matei Ciocarlie
Karen Kasza
Kristin Myers
Arvind Narayanaswamy
P. James Schuck

Assistant Professors

Bianca Howard
Vijay Vedula

Professors of Professional Practice

Michael J. Massimino
Harry West

Lecturers in Discipline

Sinisa Vukelic
Yevgeniy Yesilevskiy

Adjunct Faculty

Homayoon Beigi
Matthew Bilson
Sean Bradshaw
Joshua Browne
Nicholas Chbat
Changyao Chen
Dustin Demetriou
J. P. Hilton
Peter LeVoci
Kerwin Low
Mohammad H. N. Naraghi
Alexander Staroselsky
Enrico Zordan

Manager of Instructional Laboratories

Robert G. Stark

Course Descriptions

EEME E3601 CLASSICAL CONTROL SYSTEMS. 3.00 points.

Lect: 3.

Prerequisites: (MATH UN2030) MATH V2030.
Analysis and design of feedback control systems. Transfer functions; block diagrams; proportional, rate, and integral controllers; hardware, implementation. Routh stability criterion, root locus, Bode and Nyquist plots, compensation techniques

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: EEME E3601
EEME 3601	001/13876	M W 11:40am - 12:55pm Room TBA		3.00	0/75

EEME E4601 DIGITAL CONTROL SYSTEMS. 3.00 points.

Lect: 3.

Prerequisites: (EEME E3601) or (ELEN E3201)
Real-time control using digital computers. Solving scalar and state-space difference equations. Discrete equivalents of continuous systems fed by holds. Z-transer functions. Creating closed-loop difference equation models by Z-transform and state variable approaches. The Nyquist frequency and sample rate selection. Classical and modern based digital control laws. Digital system identification

EEME E6601 INTRO TO CONTROL THEORY. 3.00 points.

Lect: 3.

Prerequisites: (MATH UN2030)
A graduate-level introduction to classical and modern feedback control that does not presume an undergraduate background in control. Scalar and matrix differential equation models and solutions in terms of state transition matrices. Transfer functions and transfer function matrices, block diagram manipulations, closed loop response. Proportional, rate, and integral controllers, and compensators. Design by root locus and frequency response. Controllability and observability. Luenberger observers, pole placement, and linear-quadratic cost controllers

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: EEME E6601
EEME 6601	001/13779	Th 7:00pm - 9:30pm 833 Seeley W. Mudd Building	Nicolas Chbat	3.00	89/150
EEME 6601	V01/19367		Nicolas Chbat	3.00	7/99

EEME E6602 MODERN CONTROL THEORY. 3.00 points.

Lect: 3.Not offered during 2023-2024 academic year.

Prerequisites: (EEME E6601) or (EEME E4601) or (ELEN E6201) or or the instructor's permission.

Singular value decomposition. ARX model and state space model system identification. Recursive least squares filters and Kalman filters. LQR, H∞, linear robust control, predictive control, adaptive control. Liapunov and Popov stability. Nonlinear adaptive control, nonlinear robust control, sliding mode control.

EEME E8601 ADV TOPICS IN CONTROL THEORY. 3.00 points.

Lect: 3.Not offered during 2023-2024 academic year.

Prerequisites: (EEME E6601) and (EEME E4601) or instructor's permission.
May be taken more than once, since the content changes from year to year, electing different topics from control theory such as learning and repetitive control, adaptive control, system identification, Kalman filtering, etc

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: EEME E8601
EEME 8601	001/14009	Th 4:10pm - 6:40pm 233 Seeley W. Mudd Building	Ilija Hadzic	3.00	7/40

IEME E4200 HUMAN-CENTERED DESIGN AND INNOVATION. 3.00 points.

Open to SEAS graduate and advanced undergraduate students, Business School, and GSAPP. Students from other schools may apply. Fast-paced introduction to human-centered design. Students learn the vocabulary of design methods, understanding of design process. Small group projects to create prototypes. Design of simple product, more complex systems of products and services, and design of business

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: IEME E4200
IEME 4200	001/14537	T 4:10pm - 5:25pm 420 Pupin Laboratories	Harry West	3.00	56/50
IEME 4200	001/14537	T 5:25pm - 6:40pm 430 River Side Church	Harry West	3.00	56/50
Spring 2025: IEME E4200
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
IEME 4200	001/14594	W 10:10am - 11:25am Room TBA	Harry West	3.00	0/50
IEME 4200	001/14594	W 1:10pm - 2:25pm Room TBA	Harry West	3.00	0/50
IEME 4200	002/14595	W 10:10am - 11:25am Room TBA	Harry West	3.00	0/50
IEME 4200	002/14595	W 4:10pm - 5:25pm Room TBA	Harry West	3.00	0/50

IEME E4310 MANUFACTURING ENTERPRISE. 3.00 points.

Lect: 3.

The strategies and technologies of global manufacturing and service enterprises. Connections between the needs of a global enterprise, the technology and methodology needed for manufacturing and product development, and strategic planning as currently practiced in industry

IEME E4810 INTRO-HUMANS IN SPACE FLIGHT. 3.00 points.

Introduction to human spaceflight from a systems engineering perspective. Historical and current space programs and spacecraft. Motivation, cost, and rationale for human space exploration. Overview of space environment needed to sustain human life and health, including physiological and psychological concerns in space habitat. Astronaut selection and training processes, spacewalking, robotics, mission operations, and future program directions. Systems integration for successful operation of a spacecraft. Highlights from current events and space research, Space Shuttle, Hubble Space Telescope, and International Space Station (ISS). Includes a design project to assist International Space Station astronauts

MEBM E4439 MODELING ＆ ID OF DYNAMIC SYST. 3.00 points.

Prerequisites: (APMA E2101) and (ELEN E3801) or instructor's permission.
Corequisites: EEME E3601
Generalized dynamic system modeling and simulation. Fluid, thermal, mechanical, diffusive, electrical, and hybrid systems are considered. Nonlinear and high order systems. System identification problem and Linear Least Squares method. State-space and noise representation. Kalman filter. Parameter estimation via prediction-error and subspace approaches. Iterative and bootstrap methods. Fit criteria. Wide applicability: medical, energy, others. MATLAB and Simulink environments

MEBM E4440 Physiological Controls. 3.00 points.

Prerequisites: (MEBM E4439) and (APMA E2101) Fundamentals of time and frequency domains analyses and stability. Frequency domain controller design. Cardiovascular and respiratory systems simulation. Endogenous control systems: baroreflex, chemoreflex, thermoregulation, pupillary light reflex. Open and closed loop physiological systems. Exogenous control systems: ventilators, infusion pumps. Nonlinear actuators and delayed feedback systems. Acute disease simulation and clinical decision support in the intensive care unit. MATLAB and Simulink environments utilized

MEBM E4703 MOLECULAR MECHANICS IN BIOLOGY. 3.00 points.

Lect: 3.

Prerequisites: (ENME E3105) and (APMA E2101) or instructor's permission.
Mechanical understanding of biological structures including proteins, DNA and RNA in cells and tissues. Force response of proteins and DNA, mechanics of membranes, biophysics of molecular motors, mechanics of protein-protein interactions. Introduction to modeling and simulation techniques, and modern biophysical techniques such as single molecule FRET, optical traps, AFM, and superresolution imaging, for understanding molecular mechanics and dynamics

MEBM E4710 MORPHOGENESIS:BIOL MAT SHP/STR. 3.00 points.

Prerequisites: Courses in mechanics, thermodynamics, and ordinary differential equations (for example, ENME E3113, MECE E3301 and MATH UN3027) at the undergraduate level or instructor's permission.
Introduction to how shape and structure are generated in biological materials using engineering approach emphasizing application of fundamental physical concepts to a diverse set of problems. Mechanisms of pattern formation, self-assembly, and self-organization in biological materials, including intracellular structures, cells, tissues, and developing embryos. Structure, mechanical properties, and dynamic behavior of these materials. Discussion of experimental approaches and modeling. Course uses textbook materials as well as collection of research papers

MEBM E6311 MIXT THEORIES FOR BIOL TISSUES. 3.00 points.

Lect: 3.

Prerequisites: (MECE E6422) and (APMA E4200) or equivalent.
Development of governing equations for mixtures with solid matrix, interstitial fluid, and ion constituents. Formulation of constitutive models for biological tissues. Linear and nonlinear models of fibrillar and viscoelastic porous matrices. Solutions to special problems, such as confined and unconfined compression, permeation, indentation and contact, and swelling experiments

MECE E4XXX Mechanics of Elastomeric Materials. 3.00 points.

Mechanics of nonlinear mechanical behavior of elastomeric and elastomeric-like solids. Overview of structure and behavior of elastomers. Kinematics of large deformation. Constitutive models for equilibrium stress-strain behavior, using invariant measures of deformation and statistical mechanics of molecular networks. Hysteretic aspects of structure and behavior due to time dependence and structural evolution with deformation. Review of experimental data and models to capture and predict observations. Time permitting: behavior of particle-filled, thermoplastic and biomacromolecular elastomers

MECE E1008 INTRO TO MACHINING. 1.00 point.

Introduction to the manual machine operation, CNC fabrication and usage of basic hand tools, band/hack saws, drill presses, grinders and sanders

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E1008
MECE 1008	001/13837	F 9:10am - 11:00am 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	8/8
MECE 1008	002/13838	F 11:05am - 12:55pm 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	8/8
MECE 1008	003/13839	F 2:10pm - 4:00pm 294 Engineering Terrace	Daniela Duron Garcia, Robert Stark	1.00	8/8
MECE 1008	004/13840	F 9:10am - 11:00am 294 Engineering Terrace	Daniela Duron Garcia, Robert Stark	1.00	8/8
MECE 1008	005/13841	F 11:05am - 12:55pm 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	8/8
MECE 1008	006/13842	F 2:10pm - 4:00pm 294 Engineering Terrace	Daniela Duron Garcia, Robert Stark	1.00	8/8
Spring 2025: MECE E1008
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 1008	001/13865	F 9:10am - 11:00am 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	0/8
MECE 1008	002/13867	F 11:05am - 12:55pm 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	0/8
MECE 1008	003/13868	F 2:10pm - 4:00pm 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	0/8
MECE 1008	004/13870	F 9:10am - 11:00am 294 Engineering Terrace	Daniela Duron Garcia, Robert Stark	1.00	0/8
MECE 1008	005/13871	F 11:05am - 12:55pm 294 Engineering Terrace	Daniela Duron Garcia, Robert Stark	1.00	0/8
MECE 1008	006/13872	F 2:10pm - 4:00pm 294 Engineering Terrace	Robert Stark, Daniela Duron Garcia	1.00	0/8

MECE E1304 NAVAL SHIP SYSTEMS. 3.00 points.

Students are strongly advised to consult with the ME Department prior to registering for this course. A study of ship characteristics and types including ship design, hydrodynamic forces, stability, compartmentation, propulsion, electrical and auxiliary systems, interior communications, ship control, and damage control; theory and design of steam, gas turbine, and nuclear propulsion; shipboard safety and firefighting. This course is part of the Naval ROTC program at Columbia but will be taught at SUNY Maritime. Enrollment may be limited; priority is given to students participating in Naval ROTC. Will not count as a technical elective. Students should see a faculty adviser as well as Columbia NROTC staff (nrotc@columbia.edu) for more information

MECE E2400 COMPUTER LABORATORY ACCESS. 0.00 points.

MECE E3008 COMPUTATIONAL GRAPHICS. 1.50 point.

MECE E3018 MECHANICAL ENGINEERING LAB I. 3.00 points.

Lect: 3.

Experiments in instrumentation and measurement: optical, pressure, fluid flow, temperature, stress, and electricity; viscometry, cantilever beam, digital data acquisition. Probability theory: distribution, functions of random variables, tests of significance, correlation, ANOVA, linear regression

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3018
MECE 3018	001/13981	T 1:10pm - 3:55pm 644 Seeley W. Mudd Building	James Hone	3.00	43/44
MECE 3018	002/13983	Th 1:10pm - 3:55pm 644 Seeley W. Mudd Building	James Hone	3.00	42/44

MECE E3019 MECHANICAL ENGINEERING LAB I. 0.00 points.

MECE E3028 MECHANICAL ENGINEERING LAB II. 3.00 points.

Lect: 3.

Experiments in engineering and physical phenomena: aerofoil lift and drag in wind tunnels, laser Doppler anemometry in immersed fluidic channels, supersonic flow and shock waves, Rankine thermodynamical cycle for power generation, and structural truss mechanics and analysis

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E3028
MECE 3028	001/13878	T Th 1:10pm - 3:40pm Room TBA	Bianca Howard	3.00	0/78

MECE E3038 MECHANICAL ENGINEERING LAB III. 1.50 point.

Lect: 3.Not offered during 2023-2024 academic year.

Mechatronic control of mechanical and electromechanical systems. Control of various thermodynamic cycles, including internal combustion engine (Otto cycle). Reverse engineering of an electromechanical product

MECE E3100 INTRO TO MECHANCIS OF FLUIDS. 3.00 points.

Lect: 3.

Prerequisites: (ENME E3105) ENME E3105.
Basic continuum concepts. Liquids and gases in static equilibrium. Continuity equation. Two-dimensional kinematics. Equation of motion. Bernoulli’s equation and applications. Equations of energy and angular momentum. Dimensional analysis. Two-dimensional laminar flow. Pipe flow, laminar, and turbulent. Elements of compressible flow

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3100
MECE 3100	001/13799	T Th 10:10am - 11:25am 310 Fayerweather	Karen Kasza	3.00	89/90

MECE E3105 Mechanics. 4 points.

Lect: 4.

Prerequisites: PHYS C1401 and MATH V1101 - MATH V1102 and MATH V1201.

Elements of statics, dynamics of a particle, systems of particles, and rigid bodies.

MECE E3200 COMPUTER AIDED PRODUCT DESIGN. 3.00 points.

MECE E3301 THERMODYNAMICS. 3.00 points.

Lect: 3.

Classical thermodynamics. Basic properties and concepts, thermodynamic properties of pure substances, equation of state, work, heat, the first and second laws for flow and nonflow processes, energy equations, entropy, and irreversibility. Introduction to power and refrigeration cycles

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3301
MECE 3301	001/13802	T Th 8:40am - 9:55am 313 Fayerweather	Arvind Narayanaswamy	3.00	90/85

MECE E3311 HEAT TRANSFER. 3.00 points.

Lect: 3.

Steady and unsteady heat conduction. Radiative heat transfer. Internal and external forced and free convective heat transfer. Change of phase. Heat exchangers

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E3311
MECE 3311	001/13883	T Th 10:10am - 11:25am Room TBA	Michael Burke	3.00	0/90
MECE 3311	R01/14451	F 1:00pm - 2:00pm Room TBA	Michael Burke	3.00	0/90

MECE E3401 MECHANICS OF MACHINES. 3.00 points.

Lect: 3.

Prerequisites: (ENME E3105) and (MECE E3408)
Introduction to mechanisms and machines, analytical and graphical synthesis of mechanism, displacement analysis, velocity analysis, acceleration analysis of linkages, dynamics of mechanism, cam design, gear and gear trains, and computer-aided mechanism design

MECE E3408 COMPUTER GRAPHICS ＆ DESIGN. 3.00 points.

Lect: 3.

Introduction to drafting, engineering graphics, computer graphics, solid modeling, and mechanical engineering design. Interactive computer graphics and numerical methods applied to the solution of mechanical engineering design problems

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3408
MECE 3408	001/13803	M W 8:40am - 9:55am 252 Engineering Terrace	Sinisa Vukelic	3.00	24/22
MECE 3408	002/13804	M W 10:10am - 11:25am 252 Engineering Terrace	Sinisa Vukelic	3.00	28/22
Spring 2025: MECE E3408
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 3408	001/13861	M W 8:40am - 9:55am Room TBA	Sinisa Vukelic	3.00	0/24
MECE 3408	002/13863	M W 10:10am - 11:25am Room TBA	Sinisa Vukelic	3.00	0/24

MECE E3409 MACHINE DESIGN. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3408) MECE E3408
Computer-aided analysis of general loading states and deformation of machine components using singularity functions and energy methods. Theoretical introduction to static failure theories, fracture mechanics, and fatigue failure theories. Introduction to conceptual design and design optimization problems. Design of machine components such as springs, shafts, fasteners, lead screws, rivets, welds. Modeling, analysis, and testing of machine assemblies for prescribed design problems. Problems will be drawn from statics, kinematics, dynamics, solid modeling, stress analysis, and design optimization

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3409
MECE 3409	001/13805	T Th 10:10am - 11:25am 750 Schapiro Cepser	Yevgeniy Yesilevskiy	3.00	72/75

MECE E3410 ENGINEERING DESIGN. 4.00 points.

MECE E3411 REVIEW OF FUNDMNTLS MECE ENGR. 1.00 point.

Lect: 3.

Prerequisites: Senior Standing.
Review of core courses in mechanical engineering, including mechanics, strength of materials, fluid mechanics, thermodynamics, heat transfer, materials and processing, control, and mechanical design and analysis. Review of additional topics, including engineering economics and ethics in engineering. The course culminates with a comprehensive examination, similar to the Fundamentals of Engineering examination. Meets the first 4.5 weeks only

MECE E3414 Mechanics of Solids for Mechanical Engineers. 3.00 points.

Introduction to the mechanics of solids with an emphasis on mechanical engineering applications. Stress tensor, principal stresses, maximum shear stress, stress equilibrium, infinitesimal strain tensor, Hooke’s law, boundary conditions. Introduction to the finite element method for stress analysis. Static failure theories, safety factors, fatigue failure. Assignments include finite element stress analyses using university-provided commercial software

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3414
MECE 3414	001/13836	M W 11:40am - 12:55pm 310 Fayerweather	Kristin Myers	3.00	84/86

MECE E3420 ENG DES-CONCPT/DESIGN GENERATN. 3.00 points.

Prerequisite: Senior standing in engineering

Prerequisites: see notes re: points Senior standing.
Corequisites: MECE E3409
A preliminary design for an original project is a prerequisite for the capstone design course. Will focus on the steps required for generating a preliminary design concept. Included will be a brainstorming concept generation phase, a literature search, incorporation of multiple constraints, adherence to appropriate engineering codes and standards, and the production of a layout drawing of the proposed capstone design project in a Computer Aided Design (CAD) software package. Note: MECE students only

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3420
MECE 3420	001/13808	M W 1:10pm - 3:40pm Room TBA	Yevgeniy Yesilevskiy	3.00	69/80

MECE E3430 ENGINEERING DESIGN. 3.00 points.

Lect: 2. Lab: 4.

Prerequisites: (MECE E3420)
Building on the preliminary design concept, the detailed elements of the design process are completed: systems synthesis, design analysis optimization, incorporation of multiple constraints, compliance with appropriate engineering codes and standards, and Computer Aided Design (CAD) component part drawings. Execution of a project involving the design, fabrication, and performance testing of an actual engineering device or system

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E3430
MECE 3430	001/13881	T Th 1:10pm - 3:40pm Room TBA	Yevgeniy Yesilevskiy	3.00	0/70

MECE E3450 COMPUTER AIDED DESIGN. 3.00 points.

Lect: 3

Prerequisites: (ENME E3105) and (ENME E3113) and (MECE E3408) and (MECE E3311)
Introduction to numerical methods and their applications to rigid body mechanics for mechanisms and linkages. Introduction to finite element stress analysis for deformable bodies. Computer-aided mechanical engineering design using established software tools and verifications against analytical and finite difference solutions

MECE E3508 INSTRUMENTATION LABORATORY. 2.50 points.

MECE E3601 CLASSICAL CONTROLS SYSTEMS. 3.00 points.

Analysis and design of feedback control systems. Transfer functions; block diagrams; proportional, rate, and integral controllers; hardware, implementation. Routh stability criterion, root locus, Bode and Nyquist plots, compensation techniques

MECE E3610 MATERIALS/PROCESSES IN MANUFAC. 3.00 points.

Lect: 3.

Prerequisites: (ENME E3113) OR EQUIVALENT
Introduction to microstructures and properties of metals, polymers, ceramics and composites; typical manufacturing processes: material removal, shaping, joining, and property alteration; behavior of engineering materials in the manufacturing processes

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E3610
MECE 3610	001/13882	M W 1:10pm - 2:25pm Room TBA	Sinisa Vukelic	3.00	0/85

MECE E3899 Research Training. 0.00 points.

Research training course. Recommended in preparation for laboratory related research

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3899
MECE 3899	001/21239		Bianca Howard	0.00	1/2

MECE E3900 HONORS TUTORIAL IN MECH ENGIN. 1.00-3.00 points.

Lect: 3.

Prerequisites: 3.2 or higher GPA
Individual study; may be selected after the first term of the junior year by students maintaining a 3.2 grade-point average. Course format may vary from individual tutorial to laboratory work to seminar instruction under faculty supervision. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students may count up to 6 points toward degree requirements. Students must submit both a project outline prior to registration and a final project write up at the end of the semester

MECE E3901 HONORS TUTORIAL IN MECH ENGIN. 3.00 points.

Lect: 3.

Prerequisites: 3.2 or higher GPA.
Individual study; may be selected after the first term of the junior year by students maintaining a 3.2 grade-point average. Course format may vary from individual tutorial to laboratory work to seminar instruction under faculty supervision. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students may count up to 6 points toward degree requirements. Students must submit both a project outline prior to registration and a final project write up at the end of the semester

MECE E3998 PROJECTS IN MECH ENGINEERING. 1.00-3.00 points.

Prerequisites: Approval by faculty member who agrees to supervise the work.
Independent project involving theoretical, computational, experimental, or engineering design work. May be repeated, but no more than 3 points may be counted toward degree requirements. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students must submit both a project outline prior to registration and a final project write-up at the end of the semester

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3998
MECE 3998	001/14858		Sunil Agrawal	1.00-3.00	0/5
MECE 3998	002/15350		P Schuck	1.00-3.00	0/5
MECE 3998	003/15351		Gerard Ateshian	1.00-3.00	1/5
MECE 3998	004/15352		Michael Burke	1.00-3.00	0/5
MECE 3998	005/15353		Vijay Vedula	1.00-3.00	1/5
MECE 3998	006/15354		Matei Ciocarlie	1.00-3.00	6/5
MECE 3998	007/15355		James Hone	1.00-3.00	0/5
MECE 3998	008/15356		Jeffrey Kysar	1.00-3.00	0/5
MECE 3998	009/15357		Qiao Lin	1.00-3.00	0/5
MECE 3998	010/15358		Bianca Howard	1.00-3.00	1/5
MECE 3998	011/15359		Vijay Modi	1.00-3.00	0/5
MECE 3998	012/15360		Kristin Myers	1.00-3.00	1/5
MECE 3998	013/15361		Arvind Narayanaswamy	1.00-3.00	3/5
MECE 3998	014/15362		Harry West	1.00-3.00	0/5
MECE 3998	015/15363		Sinisa Vukelic	1.00-3.00	3/5
MECE 3998	016/21576		Mary Boyce	1.00-3.00	2/5
MECE 3998	017/15364		Hod Lipson	1.00-3.00	3/5
MECE 3998	018/15365		Karen Kasza	1.00-3.00	1/5
MECE 3998	019/15366		Yevgeniy Yesilevskiy	1.00-3.00	0/2
Spring 2025: MECE E3998
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 3998	001/14097		Gerard Ateshian	1.00-3.00	0/5
MECE 3998	002/14099		Arvind Narayanaswamy	1.00-3.00	0/5
MECE 3998	003/14100		Vijay Vedula	1.00-3.00	0/5
MECE 3998	004/14101		James Hone	1.00-3.00	0/5
MECE 3998	005/14102		Kristin Myers	1.00-3.00	0/5
MECE 3998	006/14103		Jeffrey Kysar	1.00-3.00	0/5
MECE 3998	007/14104		Vijay Modi	1.00-3.00	0/5
MECE 3998	008/14105		P Schuck	1.00-3.00	0/5
MECE 3998	009/14106		Qiao Lin	1.00-3.00	0/5
MECE 3998	010/14108		Matei Ciocarlie	1.00-3.00	0/5
MECE 3998	011/14109		Michael Massimino	1.00-3.00	0/2
MECE 3998	012/14110		Michael Burke	1.00-3.00	0/5
MECE 3998	013/14111		Sunil Agrawal	1.00-3.00	0/5
MECE 3998	014/14113		Sinisa Vukelic	1.00-3.00	0/2
MECE 3998	015/14114		Bianca Howard	1.00-3.00	0/5
MECE 3998	016/14115		Harry West	1.00-3.00	0/5
MECE 3998	017/14117		Yevgeniy Yesilevskiy	1.00-3.00	0/10
MECE 3998	018/14118		Hod Lipson	1.00-3.00	0/5
MECE 3998	019/14119		Karen Kasza	1.00-3.00	0/5
MECE 3998	020/14121		Mary Boyce	1.00-3.00	0/5

MECE E3999 FIELDWORK. 1.00-2.00 points.

Prerequisites: Obtained internship and approval from faculty advisor.
May be repeated for credit, but no more than 3 total points may be used toward the 128-credit degree requirement. Only for MECE undergraduate students who include relevant on-campus and off-campus work experience as part of their approved program of study. Final report and letter of evaluation required. Fieldwork credits may not count toward any major core, technical, elective, and nontechnical requirements. May not be taken for pass/fail credit or audited

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E3999
MECE 3999	001/21600		Arvind Narayanaswamy	1.00-2.00	1/5

MECE E4007 CREATIVE ENG ＆ ENTREPRENEURSHP. 3.00 points.

MECE E4048 ADVNCD MECH ENGIN LABORATORY. 2.00 points.

MECE E4058 MECHATRONICS ＆ EMBEDDED MICRO. 3.00 points.

Lect: 3.

Prerequisites: (ELEN E1201) ELEN E1201.
Enrollment limited to 12 students. Mechatronics is the application of electronics and microcomputers to control mechanical systems. Systems explored include on/off systems, solenoids, stepper motors, DC motors, thermal systems, magnetic levitation. Use of analog and digital electronics and various sensors for control. Programming microcomputers in Assembly and C. Lab required

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4058
MECE 4058	001/13809	Th 4:10pm - 6:40pm 227 Seeley W. Mudd Building	Enrico Zordan	3.00	21/50
MECE 4058	001/13809	Th 7:00pm - 9:30pm 273 Engineering Terrace	Enrico Zordan	3.00	21/50
Spring 2025: MECE E4058
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 4058	001/13897	Th 4:10pm - 6:40pm Room TBA	Enrico Zordan	3.00	0/50
MECE 4058	001/13897	Th 7:00pm - 9:30pm Room TBA	Enrico Zordan	3.00	0/50

MECE E4068 MECHATRONCS-EMBEDDED MICRO LAB. 0.00 points.

MECE E4078 Internet of (Mechanical) Things. 3.00 points.

Hands-on, project-oriented course covering foundations of Internet of Things (IoT) technologies as they relate to the physical world. Projects utilizing Arduino and Raspberry Pi platforms. End-to-end IoT including sensors, basic controls, embedded systems programming, networking, IoT protocols, power consumption/optimization, and cloud connectivity. Build real IoT devices and systems in two team-based projects

MECE E4100 MECHANICS OF FLUIDS. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3100) MECE E3100 or equivalent.
Fluid dynamics and analyses for mechanical engineering and aerospace applications: boundary layers and lubrication, stability and turbulence, and compressible flow. Turbomachinery as well as additional selected topics

MECE E4210 ENERGY INFRASTRUCTURE PLANNING. 3.00 points.

Lect. 3.

Prerequisites: One year each of college level Physics, Chemistry, and Mathematics
Energy infrastructure planning with specific focus on countries with rapidly growing infrastructure needs. Spatiotemporal characteristics, scale, and environmental footprints of energy resources, power generation and storage, modeling demand growth, technology choices and learning for planning. Computer-assisted decision support and network design/optimization tools. Similarities, differences and interactions among electricity, gas, information, transportation and water distribution networks. Penetration of renewable and/or decentralized technologies into existing or new infrastructure. Special guest lectures on infrastructure finance, regulation and public-private partnerships

MECE E4211 ENERGY SOURCES AND CONVERSION. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3301) MECE E3301.
Energy sources such as oil, gas, coal, gas hydrates, hydrogen, solar, and wind. Energy conversion systems for electrical power generation, automobiles, propulsion and refrigeration. Engines, steam and gas turbines, wind turbines; devices such as fuel cells, thermoelectric converters, and photovoltaic cells. Specialized topics may include carbon-dioxide sequestration, cogeneration, hybrid vehicles and energy storage devices

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4211
MECE 4211	001/13810	M 4:10pm - 6:40pm 829 Seeley W. Mudd Building	Vijay Modi	3.00	33/40

MECE E4212 MICROELECTROMECHANICAL SYSTEMS. 3.00 points.

MEMS markets and applications; scaling laws; silicon as a mechanical material; Sensors and actuators; micromechanical analysis and design; substrate (bulk) and surface micromachining; computer aided design; packaging; testing and characterization; microfluidics

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4212
MECE 4212	001/13811	Th 1:10pm - 3:40pm 503 Hamilton Hall	P Schuck	3.00	27/30

MECE E4213 BIOMEMS: DESIGN FAB ＆ ANALYSIS. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3100) and (MECE E3311) A course in transport phenomena, or by instructor's permission
Silicon and polymer micro/nanofabrication techniques; hydrodynamic microfluidic control; electrokinetic microfluidic control; microfluidic separation and detection; sample preparation; micro bioreactors and temperature control; implantable MEMS, including sensors, actuators and drug delivery devices

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E4213
MECE 4213	001/13901	Th 4:10pm - 6:40pm Room TBA	Qiao Lin	3.00	0/20

MECE E4214 MEMS Sensors and Systems. 3.00 points.

Not offered during 2023-2024 academic year.

Prerequisites: (MECE E4212)
Connects basic MEMS transduction elements to applications by analyzing the analog signal chain, sensor packaging, and sensor integration into larger systems. Underlying concepts of analog instrumentation such as filtering and digitization covered. Hands-on projects involve off-the-shelf sensors and single-board computers to create self-contained sensor systems that demonstrate relevant issues

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E4214
MECE 4214	001/13903	M 7:00pm - 9:30pm Room TBA	John Hilton	3.00	0/25

MECE E4302 ADVANCED THERMODYNAMICS. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3301)
Advanced classical thermodynamics. Availability, irreversibility, generalized behavior, equations of state for nonideal gases, mixtures and solutions, phase and chemical behavior, combustion. Thermodynamic properties of ideal gases. Applications to automotive and aircraft engines, refrigeration and air conditioning, and biological systems

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E4302
MECE 4302	001/13909	Th 4:10pm - 6:40pm Room TBA	Arvind Narayanaswamy	3.00	0/25

MECE E4304 TURBOMACHINERY. 3.00 points.

Introduces the basics of theory, design, selection and applications of turbomachinery. Turbomachines are widely used in many engineering applications such as energy conversion, power plants, air-conditioning, pumping, refrigeration and vehicle engines, as there are pumps, blowers, compressors, gas turbines, jet engines, wind turbines, etc. Applications are drawn from energy conversion technologies, HVAC and propulsion. Provides a basic understanding of the different kinds of turbomachines

MECE E4305 MECH ＆ THERMODYNAMICS OF PROPULSION. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3301) and (MECE E3311) and (MECE E4304) or MECE E3301x Thermodynamics, and MECE E3311y Heat Transfer; MECE E4304x Turbomachinery (or instructor approval).
Principles of propulsion. Thermodynamic cycles of air breathing propulsion systems including ramjet, scramjet, turbojet, and turbofan engine and rocket propulsion system concepts. Turbine engine and rocket performance characteristics. Component and cycle analysis of jet engines and turbomachinery. Advanced propulsion systems. Columbia Engineering interdisciplinary course

MECE E4306 INTRO TO AERODYNAMICS. 3.00 points.

Prerequisites: MECE E3100, or ENME E3161, or the equivalent
Principles of flight, incompressible flows, compressible regimes. Inviscid compressible aerodynamics in nozzles (wind tunnels, jet engines), around wings (aircraft, space shuttle) and around blunt bodies (rockets, reentry vehicles). Physics of normal shock waves, oblique shock waves, and explosion waves

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E4306
MECE 4306	001/13913	Sa 3:00pm - 5:30pm Room TBA	Peter LeVoci	3.00	0/50

MECE E4312 SOLAR THERMAL ENGINEERING. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3311)
Prerequisite(s): MECE E3311 (Heat transfer). Fundamentals of solar energy transport: radiation heat transfer, convention, conduction and phase change processes. Heat exchangers and solar collectors: basic methods of thermal design, flow arrangements, effects of variable conditions, rating procedures. Solar energy concentration. Piping Systems: series and parallel arrangements, fluid movers. Thermal response and management of photovoltaic energy conversion. Solar energy storage. Solar cooling, solar thermal power and cogeneration. Applications to the design of solar thermal engineering systems

MECE E4313 Decarbonizing Buildings Studio: Energy system retrofits at speed and scale. 3.00 points.

Historical co-evolution of building energy systems and fuels. Classifying existing buildings into typologies that are a prevalent combination of building size, age, fuels, equipment, distribution and zoning controls. Fuels, electricity, furnaces, boilers, heat pumps. Overview of common heat and hot water distribution systems. Case-study based approach to evaluate retrofit options for each typology. Considerations of location, staging upgrades, envelope efficiency, retrofit cost structure, paybacks with a view towards decarbonization

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E4313
MECE 4313	001/13914	Th 1:10pm - 3:40pm Room TBA	Marc Zuluaga	3.00	0/25

MECE E4314 ENERGY DYNAMICS OF GREEN BLDGS. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3301) and (MECE E3311)
Introduction to analysis and design of heating, ventilating and air-conditioning systems. Heating and cooling loads. Humidity control. Solar gain and passive solar design. Global energy implications. Green buildings. Building-integrated photovoltaics. Roof-mounted gardens and greenhouses. Financial assessment tools and case studies. Open to Mechanical Engineering graduate students only

MECE E4320 INTRO TO COMBUSTION. 3.00 points.

MECE E4330 THERMOFLUID SYSTEMS DESIGN. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3100) and (MECE E3301) and (MECE E3311)
Theoretical and practical considerations, and design principles, for modern thermofluids systems. Topics include boiling, condensation, phase change heat transfer, multimode heat transfer, heat exchangers, and modeling of thermal transport systems. Emphasis on applications of thermodynamics, heat transfer, and fluid mechanics to modeling actual physical systems. Term project on conceptual design and presentation of a thermofluid system that meets specified criteria

MECE E4350 Building Energy Modeling and Simulation. 3.00 points.

Review of building energy modeling techniques for simulating time-varying demand. Detailed Physics-based models, gray-box and black-box modeling. Static and dynamic models of building energy systems. Deterministic and Stochastic occupancy modeling. Modeling of control and dispatch of HVAC and local energy systems. Implementation of models in Energyplus and Modelica platforms. Modeling of low and net-zero carbon buildings and local energy systems

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4350
MECE 4350	001/17654	T 2:40pm - 5:10pm 252 Engineering Terrace	Bianca Howard	3.00	21/22

MECE E4400 COMPUTER LABORATORY ACCESS. 0.00 points.

0 pts.

Sign up for this class to obtain a computer account and access to the Department of Mechanical Engineering Computer Laboratory

MECE E4404 TRIBOLOGY:FRICTION,LUBR ＆ WEAR. 3.00 points.

Lect: 3.Not offered during 2023-2024 academic year.

Prerequisites: (MECE E3100) and (MECE E3311) and (ENME E3113) or permission of the instructor
Friction, lubrication, and wear between sliding surfaces. Surface metrology, contact mechanics, and sliding friction. Deformation, wear, and temperature rise of nonlubricated, liquid-lubricated, and solid-lubricated rolling and sliding materials. The theories of boundary, elastohydrodynamic, hydrodynamic, hydrostatic, and solid-phase lubrication. Lubricant flow and load-carrying capacity in bearings. Special applications such as geartrains, cam/tappets, and micro- and nanoscale tribological interfaces

MECE E4430 AUTOMOTIVE DYNAMICS. 3.00 points.

Lect: 3.

Prerequisites: (ENME E3105) or (ENME E3106) or ENME 3105 or equivalent, recommended: ENME 3106 or equivalent
Recommended: ENME E3100 or E3106. Reviews fundamentals of vehicle dynamics. A systems-based engineering approach to explore areas of: tire characteristics, aerodynamics, stability and control, wheel loads, ride and roll rates, suspension geometry, and dampers. A high-performance vehicle (racecar) platform used as an example to review topics

MECE E4431 SPACE VEHICLE DYNAMICS. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3105) or (ENME E3105) and (ENME E4202) ENME E4202 recommended
ENME E4202 recommended. Space vehicle dynamics and control, rocket equations, satellite orbits, initial trajectory designs from Earth to other planets, satellite attitude dynamics, gravity gradient stabilization of satellites, spin-stabilized satellites, dual-spin satellites, satellite attitude control, modeling, dynamics, and control of large flexible spacecraft

MECE E4440 Optimization of Dynamic Systems. 3.00 points.

Fundamentals for optimizing performance of dynamic systems described by a set of ordinary differential equations based on theory of variational calculus. Systematic methods to solve optimization problems using numerical methods. Topics include: Static Optimization of systems with equality and inequality and inequality constraints, Numerical methods to solve static optimization problems, Theory of calculus of variations, Application of calculus of variations to solve static optimization problems with equality and inequality constraints, numerical methods to solve static optimization problems, theory of calculus variations to solve dynamic optimization problems with equality and inequality constraints, direct and indirect numerical methods to solve dynamic optimization problems, finite-time linear systems, steady state linear systems, multi degree-of-freedom robotic systems

MECE E4460 Mechanics of Elastomeric Materials. 3.00 points.

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4460
MECE 4460	001/16015	W 10:10am - 12:40pm 233 Seeley W. Mudd Building	Mary Boyce	3.00	17/50

MECE E4501 GEOMETRICAL MODELING. 3.00 points.

Lect: 3.

Prerequisites: (COMS W1005)
Relationship between 3D geometry and CAD/CAM; representations of solids; geometry as the basis of analysis, design, and manufacturing; constructive solid geometry and the CSG tree; octree representation and applications; surface representations and intersections; boundary representation and boundary evaluation; applied computational geometry; analysis of geometrical algorithms and associated data structures; applications of geometrical modeling in vision and robotics

MECE E4507 Fundamental Design Tools. 3.00 points.

Covers fundamental engineering design tools for creating and testing physical products. Includes basics of computer-aided design, circuit design and use of microcontrollers, Internet of Things, and computational modeling and simulation. Additional hands-on exposure to tools for high-fidelity physical prototyping in Makerspace. Mini-project design involving an engineering device or system incorporated tools

MECE E4520 DATA SCIENCE FOR MECHANICAL SYSTEMS. 3.00 points.

Lec: 3.

Prerequisites: Knowledge of basic computer programming (e.g. Java, MATLAB, Python), or Instructor’s permission
Introduction to the practical application of data science, machine learning, and artificial intelligence and their application in Mechanical Engineering. A review of relevant programming tools necessary for applying data science is provided, as well as a detailed review of data infrastructure and database construction for data science. A series of industry case studies from experts in the field of data science will be presented

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4520
MECE 4520	001/13820	F 1:10pm - 3:40pm 417 International Affairs Bldg	Nicolas Chbat	3.00	106/164
MECE 4520	V01/21136		Nicolas Chbat	3.00	1/99

MECE E4602 INTRODUCTION TO ROBOTICS. 3.00 points.

Lect: 3.

Overview of robot applications and capabilities. Linear algebra, kinematics, statics, and dynamics of robot manipulators. Survey of sensor technology: force, proximity, vision, compliant manipulators. Motion planning and artificial intelligence; manipulator programming requirements and languages

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4602
MECE 4602	001/13827	T 4:10pm - 6:40pm 833 Seeley W. Mudd Building	Sunil Agrawal	3.00	92/120
MECE 4602	V01/17535		Sunil Agrawal	3.00	3/99

MECE E4603 ANALYSIS-CONTROL MANUFCT SYSTM. 3.00 points.

Science and systems aspects of Robotics from applied perspective, focusing on algorithms and software tools. Spatial reasoning; tools for manipulating and visualizing spatial relationships. Analysis of robotic manipulators; numerical methods for kinematic analysis. Motion planning, search-based and stochastic approaches. Applications for force and impedance control. Grading based on combination of exams and projects implemented using Robot Operating System (ROS) software framework and executed on real and simulated robotic manipulators

MECE E4604 PRODUCT DESIGN FOR MFG. 3.00 points.

Lect: 3.

Prerequisites: Manufacturing process, computer graphics, engineering design, mechanical design.
General review of product development process; market analysis and product system design; principles of design for manufacturing; strategy for material selection and manufacturing process choice; component design for machining; casting; molding; sheet metal working and inspection; general assembly processes; product design for manual assembly; design for robotic and automatic assembly; case studies of product design and improvement

MECE E4606 DIGITAL MANUFACTURING. 3.00 points.

Additive manufacturing processes, CNC, Sheet cutting processes, Numerical control, Generative and algorithmic design. Social, economic, legal, and business implications. Course involves both theoretical exercises and a hands-on project

MECE E4608 MANUFACTURING PROCESSES. 3.00 points.

MECE E4609 COMPUTER AIDED MANUFACTURING. 3.00 points.

Lect: 3.

Prerequisites: An introductory course on Manufacturing Processes, and knowledge of Computer Aided Design, and Mechanical Design or the Instructor's permission.
Computer-aided design, free-form surface modeling, tooling and fixturing, computer numeric control, rapid prototyping, process engineering, fixed and programmable automation, industrial robotics

MECE E4610 ADV MANUFACTURING PROCESSES. 3.00 points.

Lect: 3.

Prerequisites: Introductory course on manufacturing processes, and heat transfer, knowledge of engineering materials, or the Instructor's permission.
Principles of nontraditional manufacturing, nontraditional transport and media. Emphasis on laser assisted materials processing, laser material interactions with applications to laser material removal, forming, and surface modification. Introduction to electrochemical machining, electrical discharge machining and abrasive water jet machining

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4610
MECE 4610	001/13828	W 4:10pm - 6:40pm 1024 Seeley W. Mudd Building	Sinisa Vukelic	3.00	27/50
MECE 4610	V01/17640		Sinisa Vukelic	3.00	4/99

MECE E4611 ROBOTICS STUDIO. 3.00 points.

Hands-on studio class exposing students to practical aspects of the design, fabrication, and programming of physical robotic systems. Students experience entire robot creation process, covering conceptual design, detailed design, simulation and modeling, digital manufacturing, electronics and sensor design, and software programming

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4611
MECE 4611	002/13830	W 11:40am - 12:55pm 209 Havemeyer Hall	Hod Lipson	3.00	83/90
MECE 4611	V02/17645		Hod Lipson	3.00	9/99
Spring 2025: MECE E4611
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 4611	001/13920	W 11:40am - 12:55pm Room TBA	Hod Lipson	3.00	0/90

MECE E4612 SUSTAINABLE MANUFACTURING. 3.00 points.

Fundamentals of sustainable design and manufacturing, metrics of sustainability, analytical tools, principles of life cycle assessment, manufacturing tools, processes and systems energy assessment and minimization in manufacturing, sustainable manufacturing automation, sustainable manufacturing systems, remanufacturing, recycling and reuse

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E4612
MECE 4612	001/13926	M 4:10pm - 6:40pm Room TBA	Sinisa Vukelic	3.00	0/35

MECE E4613 Industrial Automation. 3.00 points.

Introduction to industrial automation technologies. Recognizing, modeling and integration of industrial automation problems. Hands-on experiments with robots, computer vision, data management and programming. Sensors engineering and measurement tools; process control; automation hardware and software architectures; programmable logic controllers

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4613
MECE 4613	001/19507	W 4:10pm - 6:40pm 545 Seeley W. Mudd Building	Ali Dadgar	3.00	36/30

MECE E4710 COMPUTER CONTRL OF MANUF SYSTM. 3.00 points.

MECE E4811 Aerospace Human Factors Engineering. 3.00 points.

Prerequisites: At least junior standing and instructor’s permission.

Prerequisites: see notes re: points
Engineering fundamentals and experimental methods of human factors design and evaluation for spacecraft which incorporate human-in-the-loop control. Develop understanding of human factors specific to spacecraft design with human-in-the-loop control. Design of human factors experiments utilizing task analysis and user testing with quantitative evaluation metrics to develop a sate and high-performing operational space system. Human-centered design, functional allocation and automation, human sensory performance in the space environment, task analysis, human factors experimental methods and statistics, space vehicle displays and controls, situation awareness, workload, usability, manual piloting and handling qualities, human error analysis and prevention, and anthropometrics

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4811
MECE 4811	001/13832	M 4:10pm - 6:40pm 609 Martin Luther King Building	Michael Massimino	3.00	17/22

MECE E4899 Research Training. 0.00 points.

Research training course. Recommended in preparation for laboratory related research

Course Number	Section/Call Number	Instructor	Points	Enrollment
Fall 2024: MECE E4899
MECE 4899	001/21238	Bianca Howard	0.00	0/2
MECE 4899	002/21500	Sinisa Vukelic	0.00	2/2
MECE 4899	003/21598	Hod Lipson	0.00	0/2

MECE E4990 SPECIAL TOPICS IN ME. 3.00 points.

Lect: 3.

Prerequisites: Permission of the Instructor
Prerequisite(s): Permission of the instructor. Topics and Instructors change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, and other fields

MECE E4998 MS PROJECTS IN MECH ENGINEER. 1.00-3.00 points.

1-3

Master's level independent project involving theoretical, computational, experimental, or engineering design work. May be repeated, subject to Master's Program guidelines. Students must submit both a project outline prior to registration and a final project write-up at the end of the semester

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4998
MECE 4998	001/15367		Sunil Agrawal	1.00-3.00	6/10
MECE 4998	002/15368		P Schuck	1.00-3.00	2/4
MECE 4998	003/15369		Gerard Ateshian	1.00-3.00	0/5
MECE 4998	004/15370		Michael Burke	1.00-3.00	0/5
MECE 4998	005/15371		Vijay Vedula	1.00-3.00	1/5
MECE 4998	006/15372		Matei Ciocarlie	1.00-3.00	8/10
MECE 4998	007/15373		James Hone	1.00-3.00	0/5
MECE 4998	008/15374		Jeffrey Kysar	1.00-3.00	0/5
MECE 4998	009/15375		Qiao Lin	1.00-3.00	0/5
MECE 4998	010/15376		Bianca Howard	1.00-3.00	1/5
MECE 4998	011/15377		Vijay Modi	1.00-3.00	2/5
MECE 4998	012/15378		Kristin Myers	1.00-3.00	0/5
MECE 4998	013/15379		Arvind Narayanaswamy	1.00-3.00	0/5
MECE 4998	014/15380		Harry West	1.00-3.00	1/5
MECE 4998	015/15381		Sinisa Vukelic	1.00-3.00	2/5
MECE 4998	016/21577		Mary Boyce	1.00-3.00	1/5
MECE 4998	017/15382		Karen Kasza	1.00-3.00	0/5
MECE 4998	018/15383		Hod Lipson	1.00-3.00	7/10
Spring 2025: MECE E4998
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 4998	001/14122		Gerard Ateshian	1.00-3.00	0/5
MECE 4998	002/14123		Arvind Narayanaswamy	1.00-3.00	0/5
MECE 4998	003/14124		Vijay Vedula	1.00-3.00	0/5
MECE 4998	004/14125		James Hone	1.00-3.00	0/5
MECE 4998	005/14126		Kristin Myers	1.00-3.00	0/5
MECE 4998	006/14127		Jeffrey Kysar	1.00-3.00	0/5
MECE 4998	007/14128		Vijay Modi	1.00-3.00	0/5
MECE 4998	008/14129		P Schuck	1.00-3.00	0/5
MECE 4998	009/14130		Qiao Lin	1.00-3.00	0/5
MECE 4998	010/14131		Matei Ciocarlie	1.00-3.00	0/5
MECE 4998	011/14132		Michael Massimino	1.00-3.00	0/2
MECE 4998	012/14133		Michael Burke	1.00-3.00	0/5
MECE 4998	013/14134		Sunil Agrawal	1.00-3.00	0/10
MECE 4998	014/14135		Sinisa Vukelic	1.00-3.00	0/10
MECE 4998	015/14136		Bianca Howard	1.00-3.00	0/5
MECE 4998	016/14138		Harry West	1.00-3.00	0/5
MECE 4998	017/14139		Yevgeniy Yesilevskiy	1.00-3.00	0/5
MECE 4998	018/14140		Hod Lipson	1.00-3.00	0/10
MECE 4998	019/14141		Karen Kasza	1.00-3.00	0/5
MECE 4998	020/14142		Mary Boyce	1.00-3.00	0/5

MECE E4999 FIELDWORK. 1.00 point.

Prerequisites: Instructor's written approval.
Only for ME graduate students who need relevant off-campus work experience as part of their program of study as determined by the instructor. Written application must be made prior to registration outlining proposed study program. Final reports required. May not be taken for pass/fail credit or audited. International students must consult with the International Students and Scholars Office

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E4999
MECE 4999	001/19448		Matei Ciocarlie	1.00	5/30

MECE E6100 ADVANCED MECHANICS OF FLUIDS. 3.00 points.

Prerequisites: (MATH UN2030) and (MECE E3100) MATH V2030 and MECE E3100. Eulerian and Lagrangian descriptions of motion. Stress and strain rate tensors, vorticity, integral and differentialequations of mass, momentum, and energy conservation. Potential flow

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E6100
MECE 6100	001/13833	W 1:10pm - 3:40pm 227 Seeley W. Mudd Building	Gerard Ateshian	3.00	40/50
MECE 6100	V01/19423		Gerard Ateshian	3.00	4/99

MECE E6102 COMPUTATNL HEAT TRANSF-FL FLOW. 3.00 points.

Mathematical description of pertinent physical phenomena. Basics of finite-difference methods of discretization, explicit and implicit schemes, grid sizes, stability, and convergence. Solution of algebraic equations, relaxation. Heat conduction. Incompressible fluid flow, stream function-vorticity formulation. Forced and natural convection. Use of primitive variables, turbulence modeling, and coordinate transformations

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E6102
MECE 6102	001/15092	T 4:10pm - 6:40pm Room TBA	Vijay Vedula	3.00	0/10

MECE E6104 CASE STUDIES-COMPUT FLUID DYN. 3.00 points.

Lect: 3.

Prerequisites: (APMA E4200) and (MECE E6100)
Corequisites: MECE E4400,APMA E4300
Hands-on case studies in computational fluid dynamics, including steady and transient flows, heat and mass transfer, turbulence, compressible flow and multiphase flow. Identifying assumptions, computational domain selection, model creation and setup, boundary conditions, choice of convergence criteria, visualization and interpretation of computed results. Taught in the Mechanical Engineering Computer Laboratory with Computational Fluid Dynamics software

MECE E6106 Finite Element Method for Fluid Flow and Fluid-Structure Interactions. 3.00 points.

Solving convection-dominated phenomena using finite element method (FEM), including convection-diffusion equation, Navier-Stokes, equation for incompressible viscous flows, and nonlinear fluid-structure interactions (FSI). Foundational concepts of FEM include function spaces, strong and weak forms, Galerkin FEM, isoparametric discretization, stability analysis, and error estimates. Mixed FEM for Stokes flow, incompressibility and inf-sup conditions. Stabilization approaches, including residue-based variational multiscale methods. Arbitrary Lagrangian-Eulerian (ALE) formulation for nonlinear FSI, and selected advanced topics of research interest

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E6106
MECE 6106	001/15932	T 4:10pm - 6:40pm 214 Seeley W. Mudd Building	Vijay Vedula	3.00	13/25

MECE E6137 NANOSCALE ACTUATION ＆ SENSING. 3.00 points.

Lect: 3.Not offered during 2023-2024 academic year.

Prerequisites: (PHYS UN1402) or (PHYS UN1602) or equivalents or instructor's permission
Interaction of light with nanoscale materials and structures for purpose of inducing movement and detecting small changes in strain, temperature, and chemistry within local environments. Methods for concentrating and manipulating light at length scales below the diffraction limit. Plasmonics and metamaterials, as well as excitons, phonos, and polaritons and their advantages for mechanical and chemical sensing, and controlling displacement at nanometer length scales. Applications to nanophotonic devices and recently published progress in nanomechanics and related fields

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E6137
MECE 6137	001/13943	Th 1:10pm - 3:40pm Room TBA	P Schuck	3.00	0/50

MECE E6200 TURBULENCE. 3.00 points.

Lect: 3.Not offered during 2023-2024 academic year.

Prerequisites: (MECE E6100)
Introductory concepts and statistical description. Kinematics of random velocity fields, dynamics of vorticity, and scalar quantities. Transport processes in a turbulent medium. Turbulent shear flows: deterministic and random structures. Experimental techniques, prediction methods, and simulation

MECE E6310 MIXTURE THEORY FOR BIO TISSUE. 3.00 points.

Development of governing equations for mixtures with solid matrix, interstitial fluid, and ion constituents. Formulation of constitutive models for biological tissues. Linear and nonlinear models of fibrillar and viscoelastic porous matrices. Solutions to special problems, such as confined and unconfined compression, permeation, indentation and contact, and swelling experiments

MECE E6313 ADVANCED HEAT TRANSFER. 3.00 points.

Lect: 3.

Prerequisites: MECE E3311.
Corequisites: MECE E6100.
Application of analytical techniques to the solution of multidimensional steady and transient problems in heat conduction and convection. Lumped, integral, and differential formulations. Topics include use of sources and sinks, laminar/turbulent forced convection, and natural convection in internal and external geometries

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E6313
MECE 6313	001/13941	M 4:10pm - 6:40pm Room TBA	Arvind Narayanaswamy	3.00	0/25

MECE E6320 MULTISCALE PHENOMENA IN GASES. 3.00 points.

Not offered during 2023-2024 academic year.

Prerequisites: Knowledge of advanced thermodynamics (e.g. MECE E4302), or combustion (e.g. MECH 4320), or instructor’s permission
Gaseous phenomena from a molecular to macroscopic perspective. Quantum mechanics, statistical thermodynamics, nonequilibrium statistical mechanics, reaction rate theories, master equation, relaxation processes, kinetic theory, equations of state, transport theories, and kinetic-transport equations. Applications to combustion, aerospace gas dynamics, and high-frequency sound propagation

MECE E6400 ADVANCED MACHINE DYNAMICS. 3.00 points.

Lect: 3.

Prerequisites: (MECE E3401) MECE E3401.
Review of classical dynamics, including Lagrange’s equations. Analysis of dynamic response of high-speed machine elements and systems, including mass-spring systems, cam-follower systems, and gearing; shock isolation; introduction to gyrodynamics

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E6400
MECE 6400	001/13931	Th 7:00pm - 9:30pm Room TBA	Nicolas Chbat	3.00	0/35

MECE E6422 INTRO-THEORY OF ELASTICITY I. 3.00 points.

Lect: 3.

Corequisites: APMA E4200.
Analysis of stress and strain. Formulation of the problem of elastic equilibrium. Torsion and flexure of prismatic bars. Problems in stress concentration, rotating disks, shrink fits, and curved beams; pressure vessels, contact and impact of elastic bodies, thermal stresses, propagation of elastic waves

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E6422
MECE 6422	001/13834	M 9:10am - 11:40am 524 Seeley W. Mudd Building	Jeffrey Kysar	3.00	21/30

MECE E6423 INTRO-THEORY OF ELASTICITY II. 3.00 points.

Lect: 3.

MECE E6424 VIBRATIONS IN MACHINES I. 3.00 points.

Lect: 3.

Prerequisites: MECE E3401
Review of vibration analysis of systems and mechanisms with one degree of freedom. Natural frequencies. Forced vibrations. Effects of dry and viscous friction. Energy methods of Rayleigh and Ritz. Suppression and elimination of vibration. Vibration isolation. Measuring instruments. Critical speeds in machinery. Synchronous whirl. Half-frequency whirl. Influence of bearing characteristics on critical speeds. Effect of gyroscopic moments. Systems with multiple degrees of freedom. Dynamic vibration absorbers. Self-tuning absorbers of pendulum and roller types. Lagrangian equations of motion as applied to vibrating systems. General equations for transverse critical speeds of shafts. Surging of helical springs

MECE E6432 SMALL-SCALE MECH BEHAVIOR. 3.00 points.

Mechanics of small-scale materials and structures require nonlinear kinematics and/or nonlinear stress vs. strain constitutive relations to predict mechanical behavior. Topics include variational calculus, deformation and vibration of beam, strings, plates, and membranes; fracture, delamination, bulging, buckling of thin films, among others. Thermodynamics of solids will be reviewed to provide the basis for a detailed discussion of nonlinear elastic behavior as well as the study of the equilibrium and stability of surfaces

MECE E6614 ADV TPC:ROBOTICS/MECH SYNTHES. 3.00 points.

Lect: 3.

Prerequisites: (APMA E2101) and (APMA E3101) and (MECE E4602) or (COMS W4733)
Corequisites: MECE E3401
Recommended: MECE E3401 or instructor’s permission. Kinematic modeling methods for serial, parallel, redundant, wire-actuated robots and multifingered hands with discussion of open research problems. Introduction to screw theory and line geometry tools for kinematics. Applications of homotopy continuation methods and symbolic-numerical methods for direct kinematics of parallel robots and synthesis of mechanisms. Course uses textbook materials as well as a collection of recent research papers

MECE E6615 ROBOTIC MANIPULATION. 3.00 points.

Theory and mechanisms of robotic manipulation, from sensor data, reasoning, and planning to implementation and execution. Grasp quality measures and optimization; planning and execution for manipulation primitives; sensor modalities: vision, touch, and proprioception; simulation for manipulation planning; design of robot manipulators. Grading based on a combination of class presentations of novel research results in the field, participation in discussions, and course projects combining simulation, processing of sensor data, planning for manipulation, design, and implementation on real robot hands

MECE E6616 ROBOT LEARNING. 3.00 points.

Robots using machine learning to achieve high performance in unscripted situations. Dimensionality reduction, classification, and regression problems in robotics. Deep Learning: Convolutional Neural Networks for robot vision, Recurrent Neural Networks, and sensorimotor robot control using neural networks. Model Predictive Control using learned dynamics models for legged robots and manipulators. Reinforcement Learning in robotics: model-based and model-free methods, deep reinforcement learning, sensorimotor control using reinforcement learning

MECE E6617 Advanced Kinematics, Dynamics, and Control in Robotics. 3.00 points.

Advanced topics in robotics using fundamentals of kinematics, dynamics, and control. Topics include: characterization of orientation and angular velocity of rigid bodies, kinematic solutions of planar mechanisms, dynamics of closed chains and free-floating bodies, gravity balancing of mechanism, dynamics and dependence of inertia redistribution, under-actuation systems, feedback linearization of SISO systems, feedback linearization of MIMO systems, design of under-actuated open-chain robots, parallel-actuated robots

MECE E6620 APPLIED SIGNAL RECOGNITION. 3.00 points.

Applied recognition and classification of signals using a selection of tools borrowed from different disciplines. Applications include human biometrics, imaging, geophysics, machinery, electronics, networking, languages, communications, and finance. Practical algorithms are covered in signal generation, modeling, feature extraction, metrics for comparison and classification, parameter estimation, supervised, unsupervised and hierarchical clustering and learning, optimization, scaling and alignment, signals as codes emitted from natural sources, information, and extremely large-scale search techniques

MECE E8020 MASTERS THESIS. 1.00-3.00 points.

Research in an area of mechanical engineering culminating in a verbal presentation and a written thesis document approved by the thesis adviser. Must obtain permission from a thesis adviser to enroll. Recommended enrollment for two terms, one of which can be the summer. A maximum of 6 points of master’s thesis may count toward an M.S. degree, and additional research points cannot be counted. On completion of all master’s thesis credits, the thesis adviser will assign a single grade. Students must use a department-recommended format for thesis writing

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E8020
MECE 8020	001/15608		Sunil Agrawal	1.00-3.00	0/5
MECE 8020	002/15609		P Schuck	1.00-3.00	0/5
MECE 8020	003/15610		Michael Burke	1.00-3.00	1/5
MECE 8020	005/15611		Vijay Vedula	1.00-3.00	0/5
MECE 8020	006/15612		Matei Ciocarlie	1.00-3.00	0/2
MECE 8020	007/15613		James Hone	1.00-3.00	0/5
MECE 8020	008/15614		Jeffrey Kysar	1.00-3.00	0/5
MECE 8020	009/15615		Qiao Lin	1.00-3.00	1/5
MECE 8020	010/15616		Bianca Howard	1.00-3.00	0/2
MECE 8020	011/15617		Vijay Modi	1.00-3.00	0/2
MECE 8020	012/15618		Kristin Myers	1.00-3.00	0/2
MECE 8020	013/15619		Arvind Narayanaswamy	1.00-3.00	0/2
MECE 8020	014/15620		Sinisa Vukelic	1.00-3.00	0/2
MECE 8020	015/15621		Y. Lawrence Yao	1.00-3.00	0/2
MECE 8020	016/15622		Karen Kasza	1.00-3.00	0/2
MECE 8020	017/15623		Hod Lipson	1.00-3.00	1/5
Spring 2025: MECE E8020
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 8020	001/14145		Gerard Ateshian	1.00-3.00	0/5
MECE 8020	002/14147		Arvind Narayanaswamy	1.00-3.00	0/5
MECE 8020	003/14150		Vijay Vedula	1.00-3.00	0/5
MECE 8020	004/14148		James Hone	1.00-3.00	0/5
MECE 8020	005/14151		Kristin Myers	1.00-3.00	0/5
MECE 8020	006/14288		Jeffrey Kysar	1.00-3.00	0/5
MECE 8020	007/14292		Vijay Modi	1.00-3.00	0/5
MECE 8020	008/14297		P Schuck	1.00-3.00	0/5
MECE 8020	009/14298		Qiao Lin	1.00-3.00	0/5
MECE 8020	010/14299		Matei Ciocarlie	1.00-3.00	0/5
MECE 8020	011/14302		Michael Massimino	1.00-3.00	0/2
MECE 8020	012/14304		Michael Burke	1.00-3.00	0/5
MECE 8020	013/14317		Sunil Agrawal	1.00-3.00	0/10
MECE 8020	014/14319		Sinisa Vukelic	1.00-3.00	0/10
MECE 8020	015/14323		Bianca Howard	1.00-3.00	0/5
MECE 8020	016/14328		Harry West	1.00-3.00	0/5
MECE 8020	017/14329		Yevgeniy Yesilevskiy	1.00-3.00	0/5
MECE 8020	018/14330		Hod Lipson	1.00-3.00	0/10
MECE 8020	019/14331		Karen Kasza	1.00-3.00	0/5
MECE 8020	020/14332		Mary Boyce	1.00-3.00	0/5

MECE E8021 MASTERS THESIS. 1.00-3.00 points.

3-6 pts.

MECE E8501 ADVNCD CONTINUUM BIOMECHANICS. 3.00 points.

Prerequisites: Instructor Permission
The essentials of finite deformation theory of solids and fluids needed to describe mechanical behavior of biological tissue: kinematics of finite deformations, balance laws, principle of material objectivity, theory of constitutive equations, concept of simple solids and simple fluids, approximate constitutive equations, some boundary-value problems. Topics include one- and two-point tensor components with respect to generalized coordinates; finite deformation tensors, such as right and left Cauchy-Green tensors; rate of deformation tensors, such as Rivlin-Ericksen tensors; various forms of objective time derivatives, such as corotational and convected derivatives of tensors; viscometric flows of simple fluids; examples of rate and integral type of constitutive equations

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECE E8501
MECE 8501	001/13938	W 1:10pm - 3:40pm Room TBA	Gerard Ateshian	3.00	0/15

MECE E8990 SPEC TOPICS IN MECH ENGIN. 3.00 points.

Lect: 3.

Prerequisites: Instructor's permission.
Prerequisite(s): Instructor’s permission. May be taken for credit more than once. The instructor from the Mechanical Engineering Department and the topics covered will vary from year to year. Intended for students with graduate standing in Mechanical Engineering and other engineering and applied sciences

MECE E9000 GRADUATE RESEARCH AND STUDY I. 1.00-6.00 points.

Theoretical or experimental study or research in graduate areas in mechanical engineering and engineering science

Course Number	Section/Call Number	Instructor	Points	Enrollment
Fall 2024: MECE E9000
MECE 9000	001/15387	Gerard Ateshian	1.00-6.00	1/5
MECE 9000	002/15388	Arvind Narayanaswamy	1.00-6.00	0/5
MECE 9000	003/15389	Bianca Howard	1.00-6.00	1/5
MECE 9000	004/15390	James Hone	1.00-6.00	6/7
MECE 9000	005/15391	Kristin Myers	1.00-6.00	4/10
MECE 9000	007/15392	Jeffrey Kysar	1.00-6.00	1/5
MECE 9000	008/15393	Michael Burke	1.00-6.00	3/5
MECE 9000	009/15394	Vijay Modi	1.00-6.00	5/7
MECE 9000	010/15395	Y. Lawrence Yao	1.00-6.00	0/5
MECE 9000	011/15396	Qiao Lin	1.00-6.00	3/5
MECE 9000	012/15397	Matei Ciocarlie	1.00-6.00	5/10
MECE 9000	013/15398	Vijay Vedula	1.00-6.00	5/5
MECE 9000	014/15399	Sunil Agrawal	1.00-6.00	6/10
MECE 9000	015/15400	Sinisa Vukelic	1.00-6.00	1/2
MECE 9000	016/15401	P Schuck	1.00-6.00	0/5
MECE 9000	017/15402	Karen Kasza	1.00-6.00	1/5
MECE 9000	018/15403	Hod Lipson	1.00-6.00	2/10
MECE 9000	019/21422	Richard Longman	1.00-6.00	0/1

MECE E9001 GRADUATE RESEARCH AND STUDY II. 1.00-6.00 points.

Theoretical or experimental study or research in graduate areas in mechanical engineering and engineering science

Course Number	Section/Call Number	Instructor	Points	Enrollment
Spring 2025: MECE E9001
MECE 9001	001/14333	Gerard Ateshian	1.00-6.00	0/5
MECE 9001	002/14335	Arvind Narayanaswamy	1.00-6.00	0/5
MECE 9001	003/14336	Vijay Vedula	1.00-6.00	0/5
MECE 9001	004/14337	James Hone	1.00-6.00	0/5
MECE 9001	005/14341	Kristin Myers	1.00-6.00	0/5
MECE 9001	006/14354	Jeffrey Kysar	1.00-6.00	0/5
MECE 9001	007/14410	Vijay Modi	1.00-6.00	0/5
MECE 9001	008/14411	P Schuck	1.00-6.00	0/5
MECE 9001	009/14412	Qiao Lin	1.00-6.00	0/5
MECE 9001	010/14413	Matei Ciocarlie	1.00-6.00	0/5
MECE 9001	011/14414	Michael Massimino	1.00-6.00	0/2
MECE 9001	012/14415	Michael Burke	1.00-6.00	0/5
MECE 9001	013/14416	Sunil Agrawal	1.00-6.00	0/10
MECE 9001	014/14417	Sinisa Vukelic	1.00-6.00	0/10
MECE 9001	015/14418	Bianca Howard	1.00-6.00	0/5
MECE 9001	016/14419	Harry West	1.00-6.00	0/5
MECE 9001	017/14420	Yevgeniy Yesilevskiy	1.00-6.00	0/5
MECE 9001	018/14421	Hod Lipson	1.00-6.00	0/10
MECE 9001	019/14422	Karen Kasza	1.00-6.00	0/5
MECE 9001	020/14423	Mary Boyce	1.00-6.00	0/5

MECE E9500 GRADUATE SEMINAR. 0.00 points.

0 pts.

All doctoral students are required to complete successfully four semesters of the mechanical engineering seminar MECE E9500

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E9500
MECE 9500	001/13835	F 11:00am - 12:00pm 627 Seeley W. Mudd Building	Matei Ciocarlie	0.00	31/35
Spring 2025: MECE E9500
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
MECE 9500	001/14092	F 11:00am - 12:00pm Room TBA	Matei Ciocarlie	0.00	0/35

MECE E9800 DOCTORAL RESEARCH INSTRUCTION. 3.00-12.00 points.

3, 6, 9 or 12 pts.

A candidate for the Eng.Sc.D. degree in mechanical engineering must register for 12 points of doctoral research instruction. Registration in MECE E9800 may not be used to satisfy the minimum residence requirement for the degree

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECE E9800
MECE 9800	001/15404		P Schuck	3.00-12.00	1/2

MECE E9900 DOCTORAL DISSERTATION. 0.00 points.

0 pts.

A candidate for the doctorate may be required to register for this course every term after his/her coursework has been completed and until the dissertation has been accepted

MECH E4320 INTRO TO COMBUSTION. 3.00 points.

Thermodynamics and kinetics of reacting flows; chemical kinetic mechanisms for fuel oxidation and pollutant formation; transport phenomena; conservation equations for reacting flows; laminar nonpremixed flames (including droplet vaporization and burning); laminar premixed flames; flame stabilization, quenching, ignition, extinction, and other limit phenomena; detonations; flame aerodynamics and turbulent flames

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECH E4320
MECH 4320	001/13824	Th 1:10pm - 3:40pm 332 Uris Hall	Michael Burke	3.00	14/30

MECS E4510 EVOLUTIONARY COMPUTATION＆DESIGN AUTOMATI. 3.00 points.

Prerequisites: Basic programming experience in any language.
Fundamental and advanced topics in evolutionary algorithms and their application to open-ended optimization and computational design. Covers genetic algorithms, genetic programming, and evolutionary strategies, as well as governing dynamic of coevolution and symbiosis. Includes discussions of problem representations and applications to design problems in a variety of domains including software, electronics, and mechanics

MECS E4603 APPLIED ROBOTICS: ALGORITHMS＆SOFTWARE. 3.00 points.

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: MECS E4603
MECS 4603	001/15415	Th 1:10pm - 3:40pm 750 Schapiro Cepser	Matei Ciocarlie	3.00	56/78

MECS E6615 Robotic Manipulation: Sensing, Planning, Design and Execution. 3 points.

Lect: 3.

Prerequisites: (MECE E4602) or (COMS W4733)

Theory and mechanisms of robotic manipulation, from sensor data,reasoning and planning to implementation and execution. Grasp quality measures and optimization; planning and execution for manipulation primitives; sensor modalities: vision, touch and proprioception; simulation for manipulation planning; design of robot manipulators. Grading based on a combination of class presentations of novel research results in the field, participation in discussions, and course projects combining simulation, processing of sensor data, planning for manipulation, design and implementation on real robot hands.

MECS E6616 ROBOT LEARNING. 3.00 points.

Prerequisites: (MECE E4602) and (MECS E4603) or (COMS W4733)
Robots using machine learning to achieve high performance in unscripted situations. Dimensionality reduction, classification, and regression problems in robotics. Deep Learning: Convolutional Neural Networks for robot vision, Recurrent Neural Networks, and sensorimotor robot control using neural networks. Model Predictive Control using learned dynamics models for legged robots and manipulators. Reinforcement Learning in robotics: model-based and model-free methods, deep reinforcement learning, sensorimotor control using reinforcement learning

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MECS E6616
MECS 6616	001/13323	M W 10:10am - 11:25am Room TBA	Matei Ciocarlie	3.00	0/90

MEEM E6432 SMALL-SCALE MECH BEHAVIOR. 3.00 points.

Prerequisites: ENME E3113 or equivalent; APMA E4200 or equivalent
Mechanics of small-scale materials and structures require nonlinear kinematics and/or nonlinear stress vs. strain constitutive relations to predict mechanical behavior. Topics include variational calculus, deformation and vibration of beam, strings, plates, and membranes; fracture, delamination, bulging, buckling of thin films, among others. Thermodynamics of solids will be reviewed to provide the basis for a detailed discussion of nonlinear elastic behavior as well as the study of the equilibrium and stability of surfaces

MEIE E4810 INTRO TO HUMAN SPACE FLIGHT. 3.00 points.

Prerequisites: Department permission and knowledge of MATLAB or equivalent
Introduction to human spaceflight from a systems engineering perspective. Historical and current space programs and spacecraft. Motivation, cost, and rationale for human space exploration. Overview of space environment needed to sustain human life and health, including physiological and psychological concerns in space habitat. Astronaut selection and training processes, spacewalking, robotics, mission operations, and future program directions. Systems integration for successful operation of a spacecraft. Highlights from current events and space research, Space Shuttle, Hubble Space Telescope, and International Space Station (ISS). Includes a design project to assist International Space Station astronauts

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Spring 2025: MEIE E4810
MEIE 4810	001/13874	M 4:10pm - 6:40pm Room TBA	Michael Massimino	3.00	0/20

ENME E3105 MECHANICS. 4.00 points.

Lect: 4.

Prerequisites: (PHYS UN1401) and (MATH UN1101) and (MATH UN1102) and (APMA E2000) PHYS C1401 and MATH V1101-V1102 and V1201.
Elements of statics; dynamics of a particle and systems of particles

Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
Fall 2024: ENME E3105
ENME 3105	001/14675	W 11:40am - 12:55pm 331 Uris Hall	Marianna Maiaru	4.00	52/75
ENME 3105	001/14675	F 11:40am - 2:10pm 420 Pupin Laboratories	Marianna Maiaru	4.00	52/75
Spring 2025: ENME E3105
Course Number	Section/Call Number	Times/Location	Instructor	Points	Enrollment
ENME 3105	001/13958	M W 11:40am - 12:55pm Room TBA	Karen Kasza	4.00	0/60
ENME 3105	001/13958	F 11:40am - 2:10pm Room TBA	Karen Kasza	4.00	0/60

MECE E4440 Optimization of Dynamic Systems. 3.00 points.