Twin Cities campus

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Twin Cities Campus

Mechanical Engineering Ph.D.

Mechanical Engineering
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
Mechanical Engineering Graduate Programs, University of Minnesota, 1120 Mechanical Engineering, 111 Church Street S.E., Minneapolis, MN 55455 (612-625-2009; fax: 612-624-2010)
Email: gardn032@umn.edu, vandeven@umn.edu
Website: https://cse.umn.edu/me
  • Program Type: Doctorate
  • Requirements for this program are current for Fall 2021
  • Length of program in credits: 62
  • This program does not require summer semesters for timely completion.
  • Degree: Doctor of Philosophy
Along with the program-specific requirements listed below, please read the General Information section of this website for requirements that apply to all major fields.
Coursework and research are offered in advanced and additive manufacturing; bioengineering; combustion; computer-aided design; computer-aided manufacturing; control systems; energy conservation; environmental control; environmental engineering; fluid mechanics; heat and mass transfer; lubrication; machine design; manufacturing engineering; nanoengineering and nanotechnology; particle technology; plasma chemistry; plasma heat transfer; power, propulsion, and applied thermodynamics; solar energy; sprays and multiphase flows; systems dynamics; thermal energy storage; thermal environmental engineering; thermodynamics; transportation; tribology; vibration; wind energy; and interdisciplinary finite element methodology. Additional instructional and research programs can be formulated.
Program Delivery
  • via classroom (the majority of instruction is face-to-face)
Prerequisites for Admission
The preferred undergraduate GPA for admittance to the program is 3.00.
A four-year BS degree in engineering, science, or mathematics.
Special Application Requirements:
Applications are accepted for fall semester only. The application deadline is December 15.
Applicants must submit their test score(s) from the following:
  • GRE
International applicants must submit score(s) from one of the following tests:
  • TOEFL
    • Internet Based - Total Score: 79
    • Internet Based - Writing Score: 21
    • Internet Based - Reading Score: 19
  • IELTS
    • Total Score: 6.5
Key to test abbreviations (GRE, TOEFL, IELTS).
For an online application or for more information about graduate education admissions, see the General Information section of this website.
Program Requirements
38 credits are required in the major.
24 thesis credits are required.
This program may be completed with a minor.
Use of 4xxx courses toward program requirements is permitted under certain conditions with adviser approval.
A minimum GPA of 3.00 is required for students to remain in good standing.
Courses must be taken on the A-F grade basis, unless only offered S/N. A minimum of 12 course credits at the 8000-level are required (seminars and ethics courses may not be included). Use of 4xxx courses requires approval of the advisor and director of graduate studies. ME 8001 (zero-credit registration; Research Ethics and Professional Practice) is required.
Required Seminars (2 credits)
Select 2 seminar credits from the following in consultation with the advisor. Other seminars may be chosen with advisor and director of graduate studies approval.
ME 8773 - Graduate Seminar (1.0 cr)
ME 8774 - Graduate Seminar (1.0 cr)
Major Courses (16 credits)
Select at least 16 credits from the following in consultation with the advisor:
AEM 5401 - Intermediate Dynamics (3.0 cr)
AEM 5501 - Continuum Mechanics (3.0 cr)
AEM 8201 - Fluid Mechanics I (3.0 cr)
AEM 8202 - Fluid Mechanics II (3.0 cr)
EE 5231 - Linear Systems and Control (3.0 cr)
EE 8215 - Nonlinear Systems (3.0 cr)
ME 5103 - Thermal Environmental Engineering (4.0 cr)
ME 5113 - Aerosol/Particle Engineering (4.0 cr)
ME 5133 - Aerosol Measurement Laboratory (4.0 cr)
ME 5221 - Computer-Assisted Product Realization (4.0 cr)
ME 5223 - Materials in Design (4.0 cr)
ME 5228 - Introduction to Finite Element Modeling, Analysis, and Design (4.0 cr)
ME 5229 - Finite Element Method for Computational Mechanics: Transient/Dynamic Applications (4.0 cr)
ME 5241 - Computer-Aided Engineering (4.0 cr)
ME 5243 - Advanced Mechanism Design (4.0 cr)
ME 5247 - Applied Stress Analysis (4.0 cr)
ME 5248 - Vibration Engineering (4.0 cr)
ME 5281 - Feedback Control Systems (4.0 cr)
ME 5286 - Robotics (4.0 cr)
ME 5312 - Solar Thermal Technologies (4.0 cr)
ME 5332 - Intermediate Fluid Mechanics (4.0 cr)
ME 5341 - Case Studies in Thermal Engineering and Design (4.0 cr)
ME 5344 - Thermodynamics of Fluid Flow With Applications (4.0 cr)
ME 5351 - Computational Heat Transfer (4.0 cr)
ME 5446 - Introduction to Combustion (4.0 cr)
ME 5461 - Internal Combustion Engines (4.0 cr)
ME 5462 - Gas Turbines (4.0 cr)
ME 5666 - Modern Thermodynamics (4.0 cr)
ME 8113 - Advanced Aerosol/Particle Engineering (3.0 cr)
ME 8221 - New Product Design and Business Development I (4.0 cr)
ME 8222 - New Product Design and Business Development II (4.0 cr)
ME 8228 - Finite Elements in Multidisciplinary Flow/Thermal/Stress and Manufacturing Applications (4.0 cr)
ME 8229 - Finite Element Methods for Computational Mechanics: Transient/Dynamic Problems (4.0 cr)
ME 8243 - Topics in Design: Advanced Materials (4.0 cr)
ME 8253 - Computational Nanomechanics (3.0 cr)
ME 8254 - Fundamentals of Microelectromechanical Systems (MEMS) (4.0 cr)
ME 8255 - Introduction to Nanotechnology (3.0 cr)
ME 8281 - Advanced Control System Design-1 (3.0 cr)
ME 8283 - Design of Mechatronic Products (4.0 cr)
ME 8285 - Control Systems for Intelligent Vehicle Applications (3.0 cr)
ME 8287 - Topics in Dynamics and Control (2.0-4.0 cr)
ME 8332 - Advanced Fluid Dynamics in Mechanical Engineering (3.0 cr)
ME 8337 - Experimental Methods in the Thermal Sciences (3.0 cr)
ME 8341 - Conduction (3.0 cr)
ME 8342 - Convection (3.0 cr)
ME 8343 - Radiation (3.0 cr)
ME 8345 - Computational Heat Transfer and Fluid Flow (3.0 cr)
ME 8350 - Heat Transfer Physics (3.0 cr)
ME 8361 - Molecular Gas Dynamics (3.0 cr)
ME 8362 - Introduction to Plasma Technology (3.0 cr)
ME 8363 - Introduction to Reactive Flow Systems (3.0 cr)
ME 8381 - Bioheat and Mass Transfer (3.0 cr)
ME 8390 - Advanced Topics in the Thermal Sciences : Biostabilization in Biomedicine, and Biotechnology (1.0-3.0 cr)
ME 8446 - Advanced Combustion (3.0 cr)
Electives
Select credits from the following as needed, in consultation with the advisor, to complete the 38 course credits required. Other courses may be chosen with advisor and director of graduate studies approval.
AEM 4511 - Mechanics of Composite Materials (3.0 cr)
AEM 4581 - Mechanics of Solids (3.0 cr)
AEM 5253 - Computational Fluid Mechanics (3.0 cr)
AEM 5401 - Intermediate Dynamics (3.0 cr)
AEM 5451 - Optimal Estimation (3.0 cr)
AEM 5501 - Continuum Mechanics (3.0 cr)
AEM 5503 - Theory of Elasticity (3.0 cr)
AEM 8201 - Fluid Mechanics I (3.0 cr)
AEM 8202 - Fluid Mechanics II (3.0 cr)
AEM 8207 - Hydrodynamic Stability (3.0 cr)
AEM 8211 - Theory of Turbulence I (3.0 cr)
AEM 8212 - Theory of Turbulence II (3.0 cr)
AEM 8232 - Physical Gas Dynamics and Molecular Simulation (3.0 cr)
AEM 8253 - Computational Methods in Fluid Mechanics (3.0 cr)
AEM 8421 - Robust Multivariable Control Design (3.0 cr)
AEM 8423 - Convex Optimization Methods in Control (3.0 cr)
AEM 8442 - Aerospace Positioning, Navigation and Timing (3.0 cr)
AEM 8451 - System Identification: Theory and Applications (3.0 cr)
AEM 8531 - Fracture Mechanics (3.0 cr)
BMEN 5001 - Advanced Biomaterials (3.0 cr)
BMEN 5151 - Introduction to BioMEMS and Medical Microdevices (2.0 cr)
BMEN 5201 - Advanced Biomechanics (3.0 cr)
BMEN 5311 - Advanced Biomedical Transport Processes (3.0 cr)
BMEN 5321 - Microfluidics in Biology and Medicine (3.0 cr)
CHEM 4502 - Introduction to Quantum Mechanics and Spectroscopy (3.0 cr)
CHEM 8021 - Computational Chemistry (4.0 cr)
CHEN 5771 - Colloids and Dispersions (3.0 cr)
CHEN 8102 - Introduction to Rheology (3.0 cr)
CHEN 8301 - Physical Rate Processes I: Transport (3.0 cr)
CSCI 5552 - Sensing and Estimation in Robotics (3.0 cr)
EE 4541 - Digital Signal Processing (3.0 cr)
EE 5171 - Microelectronic Fabrication (3.0 cr)
EE 5173 - Basic Microelectronics Laboratory (1.0 cr)
EE 5231 - Linear Systems and Control (3.0 cr)
EE 5235 - Robust Control System Design (3.0 cr)
EE 5251 - Optimal Filtering and Estimation (3.0 cr)
EE 8215 - Nonlinear Systems (3.0 cr)
MATH 4512 - Differential Equations with Applications (3.0 cr)
MATH 5587 - Elementary Partial Differential Equations I (4.0 cr)
MATH 5588 - Elementary Partial Differential Equations II (4.0 cr)
MATH 8401 - Mathematical Modeling and Methods of Applied Mathematics (3.0 cr)
MATH 8402 - Mathematical Modeling and Methods of Applied Mathematics (3.0 cr)
PHYS 4101 - Quantum Mechanics (4.0 cr)
PHYS 4201 - Statistical and Thermal Physics (3.0 cr)
PHYS 4211 - Introduction to Solid-State Physics (3.0 cr)
Thesis Credits (24 credits)
Take 24 doctoral thesis credits after passing preliminary oral exam.
ME 8888 - Thesis Credit: Doctoral (1.0-24.0 cr)
 
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ME 8773 - Graduate Seminar
Credits: 1.0 [max 1.0]
Grading Basis: S-N or Aud
Typically offered: Every Fall & Spring
Recent developments. prereq: CSE grad student
ME 8774 - Graduate Seminar
Credits: 1.0 [max 1.0]
Grading Basis: S-N or Aud
Typically offered: Every Fall & Spring
Recent developments. prereq: 8773
AEM 5401 - Intermediate Dynamics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Three-dimensional Newtonian mechanics, kinematics of rigid bodies, dynamics of rigid bodies, generalized coordinates, holonomic constraints, Lagrange equations, applications. prereq: CSE upper div or grad, 2012, Math 2243
AEM 5501 - Continuum Mechanics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations. prereq: CSE upper div or grad, 3031, Math 2243 or equiv or instr consent
AEM 8201 - Fluid Mechanics I
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Mathematical and physical principles governing the motion of fluids. Kinematic, dynamic, and thermodynamic properties of fluids; stress and deformation; equations of motion; analysis of rotational and irrotational inviscid incompressible flow; two-dimensional and three-dimensional potential flow. prereq: 4201 or equiv, Math 2263 or equiv
AEM 8202 - Fluid Mechanics II
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Analysis of incompressible viscous flow; creeping flows; boundary layer flow. prereq: 8201
EE 5231 - Linear Systems and Control
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
The course studies finite-dimensional linear systems in continuous and discrete time. Such systems are described by ordinary differential and difference equations. Input-output and state-space descriptions are provided and analyzed. Introductory methods for controlling such systems are developed. prereq: [3015, CSE grad student] or instr consent
EE 8215 - Nonlinear Systems
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Current topics in stability analysis of nonlinear systems, design of controllers for nonlinear systems, discrete-time and stochastic nonlinear systems. prereq: instr consent
ME 5103 - Thermal Environmental Engineering
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Thermodynamic properties of moist air; psychrometric charts; HVAC systems; solar energy; human thermal comfort; indoor air quality; heating and cooling loads in buildings. prereq: 3331 or 3332, 3333, CSE upper div or grad
ME 5113 - Aerosol/Particle Engineering
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Kinetic theory, definition, theory and measurement of particle properties, elementary particle mechanics, particle statistics; Brownian motion and diffusion, coagulation, evaporation and condensation, sampling and transport. prereq: CSE upper div or grad student
ME 5133 - Aerosol Measurement Laboratory
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Principles of aerosol measurement. Single particle analysis by optical and electron microscopy. Aerosol samplers and inertial collectors. Integral mass concentration and number concentration detectors. Size distribution by laser particle counter and differential mobility particle sizer. Aerosol generation and instrument calibration. prereq: CSE upper div or graduate student
ME 5221 - Computer-Assisted Product Realization
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Injection molding with emphasis on design of manufacturing processes. Tooling design and specification of processing conditions using computer-based tools; process simulation software and computer-controlled machine tools. Simultaneous process and part design. Production of tooling and parts. Part evaluation. prereq: 3221, AEM 3031, CSci 1113, MatS 2001
ME 5223 - Materials in Design
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Fundamental properties of engineering materials. Fabrication, treatment. Physical/corrosive properties. Failure mechanism, cost/value analysis as related to material selection/specification. prereq: 3221, ME upper division or grad student
ME 5228 - Introduction to Finite Element Modeling, Analysis, and Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Finite elements as principal analysis tool in computer-aided design (CAD); theoretical issues and implementation aspects for modeling and analyzing engineering problems encompassing stress analysis, heat transfer, and flow problems for linear situations. One-, two-, and three-dimensional practical engineering applications. prereq: CSE upper div or grad, 3221, AEM 3031, CSci 1113, MatS 2001
ME 5229 - Finite Element Method for Computational Mechanics: Transient/Dynamic Applications
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Spring Odd Year
Computational mechanics involving transient/ dynamic situations for solids and structures, heat transfer, fluid flow, nano-mechanics and the like. Development and analysis of numerical methods and computational algorithms. Stability and accuracy of algorithms, convergence issues; linear/nonlinear situations. Implicit, explicit, mixed, and variable time discretization approaches; modal-based methods for engineering problems. CSE upper div or grad, CSCI 1113, ME 3221, ME 3333, ME 5228 or equiv
ME 5241 - Computer-Aided Engineering
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Apply computer-aided engineering to mechanical design. Engineering design projects and case studies using computer-aided design and finite element analysis software; design optimization and computer graphical presentation of results. prereq: 3222, CSci 1113 or equiv, CSE upper div or grad
ME 5243 - Advanced Mechanism Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Summer
Analytical methods of kinematic, dynamic, and kinetoelastodynamic analysis and synthesis of mechanisms. Computerized design for function, path, and motion generation based on Burmeister theory. prereq: CSE upper div or grad, 3222 or equiv, basic kinematics and dynamics of machines; knowledge of CAD packages such as Pro-E recommended
ME 5247 - Applied Stress Analysis
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Spring Odd Year
Intermediate-level solid mechanics with application to common machine elements such as unsymmetrical beams, non-circular shafts and plates. Stress functions. Introduction to energy methods for stress analysis. Experimental methods for measuring strains and determining related stresses, with lab. prereq: AEM 3031, MatS 2001, ME 3221
ME 5248 - Vibration Engineering
Credits: 4.0 [max 4.0]
Typically offered: Periodic Summer
Apply vibration theory to design; optimize isolators, detuning mechanisms, viscoelastic suspensions and structures. Use modal analysis methods to describe free vibration of complex systems, relating to both theoretical and test procedures. prereq: CSE upper div or grad, 3281
ME 5281 - Feedback Control Systems
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Continuous and discrete time feedback control systems. Frequency response, stability, poles and zeros; transient responses; Nyquist and Bode diagrams; root locus; lead-lag and PID compensators, Nichols-Ziegler design method. State-space modeling/control. Digital implementation. Computer-aided design and analysis of control systems. prereq: 3281
ME 5286 - Robotics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
The course deals with two major components: robot manipulators (more commonly known as the robot arm) and image processing. Lecture topics covered under robot manipulators include their forward and inverse kinematics, the mathematics of homogeneous transformations and coordinate frames, the Jacobian and velocity control, task programming, computational issues related to robot control, determining path trajectories, reaction forces, manipulator dynamics and control. Topics under computer vision include: image sensors, digitization, preprocessing, thresholding, edge detection, segmentation, feature extraction, and classification techniques. A weekly 2 hr. laboratory lasting for 8-9 weeks, will provide students with practical experience using and programming robots; students will work in pairs and perform a series of experiments using a collaborative robot. prereq: [3281 or equiv], [upper div ME or AEM or CSci or grad student]
ME 5312 - Solar Thermal Technologies
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Spring Odd Year
Solar radiation fundamentals. Measurement/processing needed to predict solar irradiance dependence on time, location, and orientation. Characteristics of components in solar thermal systems: collectors, heat exchangers, thermal storage. System performance, low-temperature applications. Concentrating solar energy, including solar thermo-chemical processes, to produce hydrogen/solar power systems and photovoltaics. Solar design project. prereq: [3333, CSE upper Div] or grad student
ME 5332 - Intermediate Fluid Mechanics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Bridge between introductory fluid mechanics and advanced graduate level course. Principles of incompressible and compressible flows, boundary layer theory, and analysis using differential formulations of the governing conservation equations. Analysis of phenomena relevant to the practice of engineering is emphasized through problem solving. Prereq: ME 3332, Admitted to upper division/ME major or graduate student
ME 5341 - Case Studies in Thermal Engineering and Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Characteristics of applied heat transfer problems. Nature of problem specification, incompleteness of needed knowledge base, accuracy issues. Categories of applied heat transfer problems. prereq: 3333, CSE upper div or grad student
ME 5344 - Thermodynamics of Fluid Flow With Applications
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Fall Odd Year
Conservation of mass, momentum, energy. Relevant thermodynamic properties. Nozzles, diffusers, thrust producers, shocks. Fluid-wall frictional interactions. Wall heat transfer, internal heat release. Temperature recovery. Mass addition. prereq: ME 3331, ME 3332, completed, or concurrent registration in ME 3333; admitted to upper division/ME major or grad student
ME 5351 - Computational Heat Transfer
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Numerical solution of heat conduction/analogous physical processes. Develop/use computer program to solve complex problems involving steady/unsteady heat conduction, flow/heat transfer in ducts, flow in porous media. prereq: 3333, CSE upper div or grad student
ME 5446 - Introduction to Combustion
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Thermodynamics, kinetics, energy and mass transport, pollutants in reacting systems. Reactors, laminar and turbulent flames. Ignition, quenching, and flame stability. Diffusion flames. Combustion in reciprocating engines, furnaces, and turbines, with emphasis on internal combustion engine performance and emissions. prereq: 3331, 3332, 3333, CSE upper div or grad student
ME 5461 - Internal Combustion Engines
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Basic spark ignition and diesel engine principles, air, fuel-air and actual engine cycles, cycle modeling, combustion and emissions, knock phenomena, air flow and volumetric efficiency, mixture requirements, ignition requirements and performance. Lectures/complementary labs. prereq: CSE upper div or grad student, C or better in [3332, 3333] or 3324
ME 5462 - Gas Turbines
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Gas turbine cycles, regeneration, recuperation, reheat, intercooling, combined cycle plants, and thermochemical regeneration. Axial and radial flow compressors and turbines; combustor designs, energy analysis, emissions, and noise. Turbojet, fanjet, turboprop engine performance. Stationary power plants, vehicular propulsion, hybrid vehicles. prereq: 3331, 3332, 3333, CSE upper div or grad student
ME 5666 - Modern Thermodynamics
Credits: 4.0 [max 4.0]
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Applications of thermodynamics to natural phenomena. Multiscale approach. Student group projects, with undergrads and grad students in same group. Three hours/week classroom instruction, one hour/week project discussion. Project presentations at weeks 8 and 14 are webcast. prereq: 3331 or equiv
ME 8113 - Advanced Aerosol/Particle Engineering
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Introduction to kinetic theory, definition, theory, and measurement of particle properties; elementary particle mechanics, particle statistics; Brownian motion and diffusion, coagulation, evaporation and condensation, sampling, and transport. prereq: CSE grad student or instr consent
ME 8221 - New Product Design and Business Development I
Credits: 4.0 [max 4.0]
Course Equivalencies: BMEn 8401/Entr 6041/PDes 8221
Grading Basis: A-F or Aud
Typically offered: Every Fall
Students and faculty work with company representatives to develop a product concept, a working physical prototype, and an extensive business plan. Concept design, detail design, manufacturing, marketing, introduction strategy, and profit forecasting. Sponsoring company intends to bring product to market. ME 8222 must be taken in sequence the same year. prereq: CSE grad student, some design experience
ME 8222 - New Product Design and Business Development II
Credits: 4.0 [max 4.0]
Course Equivalencies: BMEn 8402/Entr 6087/PDes 8722
Grading Basis: A-F or Aud
Typically offered: Every Spring
Students and faculty work with company representatives to develop a product concept, a working physical prototype, and an extensive business plan. Concept design, detail design, manufacturing, marketing, introduction strategy, and profit forecasting. Sponsoring company intends to bring product to market. Must be taken in sequence with 8221 the same year. prereq: 8221
ME 8228 - Finite Elements in Multidisciplinary Flow/Thermal/Stress and Manufacturing Applications
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Multidisciplinary and coupled effects involving flow/heat transfer/stress. In-depth understanding of modeling and analysis in each discipline. Coupling multi-disciplines for engineering problems. Applications to manufacturing and process modeling of, e.g., metals, alloys, polymers. prereq: 3222, 5341, AEM 3031, CSci 1113
ME 8229 - Finite Element Methods for Computational Mechanics: Transient/Dynamic Problems
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Computational mechanics involving transient or dynamic situations; development and analysis of computational algorithms. Stability and accuracy of algorithms, convergence issues; linear/nonlinear situations. Implicit, explicit, mixed, and variable time discretization approaches; modal-based methods for engineering problems prereq: 5228 or equiv, 5341, AEM 3031, CSci 1113
ME 8243 - Topics in Design: Advanced Materials
Credits: 4.0 [max 12.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Topics vary with each offering.
ME 8253 - Computational Nanomechanics
Credits: 3.0 [max 3.0]
Course Equivalencies: ME 8253/SCIC 8253
Prerequisites: CSE grad student
Typically offered: Every Spring
Fundamentals of mechanical properties in nanometer scale. Role of discrete structure and underlying atomic, molecular, and interfacial forces are illustrated with modern examples. Overview of computational atomistic methods. Lectures, hands-on computing using publicly available or personally developed scientific software packages. prereq: CSE grad student
ME 8254 - Fundamentals of Microelectromechanical Systems (MEMS)
Credits: 4.0 [max 4.0]
Grading Basis: A-F only
Typically offered: Every Spring
Major classes, components, and applications of MEMS. Principles behind operation of MEMS devices/ systems. Standard microfabrication techniques. Unique requirements, environments, and applications of MEMS. Students apply microfabrication techniques/applications to design/manufacture of a MEMS device or microsystem.
ME 8255 - Introduction to Nanotechnology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
This course covers a broad range of subjects introducing students to the science and technology of nanoscale materials. This includes from fundamental principles, to synthesizing and characterizing nanomaterials, to incorporating them into advanced manufacturing processes and hybrid nano-bio systems. Indeed, establishing a critical scientific understanding of properties at the nanoscale will ultimately enable a variety of next-generation devices. The focus of this course thus is on the fundamental techniques necessary for investigations at small dimensions, and the very latest research developments in this rapidly evolving field.
ME 8281 - Advanced Control System Design-1
Credits: 3.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Loop Shaping. Review of controllability/observability. LQR/LQG/LTR. Repetitive control. Input shaping. Tracking control (feedforward, precompensation). Lyapunov stability. System identification. prereq: 5281
ME 8283 - Design of Mechatronic Products
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Fall Odd Year
The purpose of this course is for advanced mechanical engineering students to gain additional mechatronic skills by learning how to use microcontrollers to implement control systems in the context of a practical product or device. Embedded microcontrollers are ubiquitous in modern products from washing machines to cell phones to automobiles to space rockets. Knowing how to design and program microcontrollers, how to interface microcontrollers to sensors and actuators, and how to implement control algorithms on a microcontroller is an important skill for the modern control system design engineer. The course is hands-on and follows a learn by doing approach. Students spend 1/3 the course in a microcontroller boot camp and 2/3 on a substantial microcontroller project. The lectures cover didactic material related to microcontrollers, sensors, actuators, electronics circuit design and fabrication and control algorithm implementation. prereq: An introductory system dynamics and controls course or permission of instructor.
ME 8285 - Control Systems for Intelligent Vehicle Applications
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
This course focuses on a study of several advanced control design techniques and their applications to smart vehicles. The control system topics studied include lead and lag compensator design, loop shaping, analysis of system norms, H2-optimal control, feedback linearization, sliding surface control, and observer design. The vehicle application topics studied include cruise control, adaptive cruise control, automated lane keeping, automated highway systems, yaw stability control, active rollover prevention, engine control, and active and semi-active suspensions. In each application, a dynamic model is first developed that is simple enough for control system design, but at the same time, rich enough for capturing the essential features of the dynamics. The control design for each application is studied in-depth during lecture and further analyzed during hands-on homework. prereq: 5281 or EE 5231 or equiv
ME 8287 - Topics in Dynamics and Control
Credits: 2.0 -4.0 [max 12.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Topics Course in Dynamics and Control
ME 8332 - Advanced Fluid Dynamics in Mechanical Engineering
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Advanced fluid dynamics course addressing the theory and applications of fluid flows pertinent to mechanical engineering. The course focuses on the physical phenomena, mathematical formulations, and advanced problem-solving techniques for flows ranging from microscale flows to turbulence, with examples from mechanical engineering practice. Prerequisite an intermediate fluid mechanics course or permission of instructor.
ME 8337 - Experimental Methods in the Thermal Sciences
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
The course will provide fundamentals on optics theory and optical instruments for students to understand and implement cutting-edge optical diagnostic tools, and to design optical methods for measurements in fluid and thermal sciences. The course will cover commonly used optical measurement techniques including particle image/tracking velocimetry, laser induced fluorescence, Schlieren photography, and digital holography.
ME 8341 - Conduction
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Advanced understanding/application of conduction/diffusion to heat/mass transfer problems. Solving ordinary/partial differential equations related to physics of diffusion. Special topics in numerical microscale heat transfer. prereq: Undergrad class in heat transfer or instr consent
ME 8342 - Convection
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Heat transfer in fluids flowing around bodies and in tubes/ducts. Forced/natural convection. Laminar/turbulent flow regimes. Turbulent transport and modeling. High-speed flows, viscous dissipation, variable property effects. Application to heat exchange devices. Convective mass transfer. prereq: Grad level course on fundamentals of fluid mechanics that has a substantial component on viscous flows or instr consent
ME 8343 - Radiation
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Advanced radiation heat transfer problems. Physics foundation for radiation. Materials properties. Radiation transfer problems. Solution methods for integro-differential equations. Statistical methods. Multi-mode heat transfer. prereq: Undergrad class in heat transfer or instr consent
ME 8345 - Computational Heat Transfer and Fluid Flow
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Finite volume method for solution of governing equations for heat transfer and fluid flow. Mathematical models of turbulence. Construction of general computer program. Practical applications. prereq: CSE grad student
ME 8350 - Heat Transfer Physics
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Spring Odd Year
Physical fundamentals of storage, transport, transformation of thermal energy by energy carriers. Phonons, electrons, fluid particles, photons. Physical mechanisms, multiple time scales. Heat transfer processes. Atomic-molecular dynamics, solid state physics, electromagnetism, quantum optics. prereq: CSE grad student
ME 8361 - Molecular Gas Dynamics
Credits: 3.0 [max 3.0]
Course Equivalencies: AEM 8231/ME 8361
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Kinetic theory of gases, Boltzmann equation, Maxwell-Boltzmann distribution, collisions, transport properties. Introduction to quantum mechanics. Statistical thermodynamics, classical/quantum statistics. partition functions and thermodynamic properties. Irreversible thermodynamics. prereq: CSE grad student
ME 8362 - Introduction to Plasma Technology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Fundamentals of gaseous plasmas. Thermal/nonequilibrium plasmas. Types of plasma generation. Electron energy distribution function. Sheaths, glow discharges, electric arcs, RF plasmas. Steady/unsteady plasmas. Plasma heat transfer. Plasma diagnostics. prereq: 8361
ME 8363 - Introduction to Reactive Flow Systems
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
This is an advanced graduate level course that covers the basics of reactive flow systems pertinent to mechanical engineering. After the introduction/review of the fundamentals of collisions, chemical kinetics, reactions and relevant aspects of basic physical chemistry, the course focuses on reaction kinetics and transport phenomena in reactive flow systems. It will introduce modeling approaches of zero and one dimensional reaction kinetics systems and diagnostics to measure the chemical and transport properties of reactive flow systems. The fundamentals and approaches introduced in this course will be applied to examples of reactive flow systems from mechanical engineering practice including both gas phase and multiphase systems (solid-gas and liquid-gas). prereq: ME 8361 is a co-prerequisite and can be taken in parallel with ME 8361
ME 8381 - Bioheat and Mass Transfer
Credits: 3.0 [max 3.0]
Typically offered: Periodic Summer
Analytical/numerical tools to analyze heat/mass transfer phenomenon in cryobiological, hyperthermic, other biomedically relevant applications. prereq: CSE grad student, upper-division transport/fluids course; [physics, biology] recommended
ME 8390 - Advanced Topics in the Thermal Sciences : Biostabilization in Biomedicine, and Biotechnology
Credits: 1.0 -3.0 [max 18.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Topics vary according to instructor.
ME 8446 - Advanced Combustion
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Fundamental understanding of linkage between thermodynamics, chemical kinetics, and transport phenomena in combustion systems. Heat release rate, flame stability, and emissions. How those issues arise in furnaces, internal combustion engines, and rockets. prereq: Undergrad courses in thermodynamics, fluid mechanics, heat transfer, IT grad student; 5446 or 8641 highly recommended
AEM 4511 - Mechanics of Composite Materials
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Analysis, design, and applications of laminated and chopped fiber reinforced composites. Micro-/macro-mechanical analysis of elastic constants, failure, and environmental degradation. Design project. prereq: 3031 (or 2031 if MatSci), [CSE upper div or grad student]
AEM 4581 - Mechanics of Solids
Credits: 3.0 [max 3.0]
Course Equivalencies: AEM 4581/AEM 5581
Typically offered: Fall Odd Year
Continuum mechanics in one dimension: kinematics; mass, momentum/energy, constitutive theory. Wave propagation, heat conduction. Strings. Euler-Bernoulli theory. 3-D deformations/stress. Topics from fracture mechanics, structural stability, vibrations, thin films, layered media, smart materials, phase transformations, 3-D elastic wave propagation. Elasticity, viscoelasticity, plasticity. prereq: 3031, [Math 2373 or equiv], [Math 2374 or equiv], CSE upper div
AEM 5253 - Computational Fluid Mechanics
Credits: 3.0 [max 3.0]
Course Equivalencies: AEM 4253/AEM 5253
Prerequisites: [4201 or equiv], [CSci 1113 or equiv], CSE grad student
Grading Basis: A-F or Aud
Typically offered: Every Fall
Introductory concepts in finite difference and finite volume methods as applied to various ordinary/partial differential model equations in fluid mechanics. Fundamentals of spatial discretization and numerical integration. Numerical linear algebra. Introduction to engineering and scientific computing environment. Advanced topics may include finite element methods, spectral methods, grid generation, turbulence modeling. prereq: [4201 or equiv], [CSci 1113 or equiv], CSE grad student
AEM 5401 - Intermediate Dynamics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Three-dimensional Newtonian mechanics, kinematics of rigid bodies, dynamics of rigid bodies, generalized coordinates, holonomic constraints, Lagrange equations, applications. prereq: CSE upper div or grad, 2012, Math 2243
AEM 5451 - Optimal Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: AEM 5451/EE 5251
Typically offered: Fall Even Year
Basic probability theory. Batch/recursive least squares estimation. Filtering of linear/non-linear systems using Kalman and extended Kalman filters. Applications to sensor fusion, fault detection, and system identification. prereq: [[MATH 2243 or STAT 3021 or equiv], [4321 or EE 4231 or ME 5281 or equiv]] or instr consent
AEM 5501 - Continuum Mechanics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations. prereq: CSE upper div or grad, 3031, Math 2243 or equiv or instr consent
AEM 5503 - Theory of Elasticity
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to the theory of elasticity, with emphasis on linear elasticity. Linear and nonlinear strain measures, boundary-value problem for linear elasticity, plane problems in linear elasticity, three dimensional problems in linear elasticity. Topics from nonlinear elasticity, micromechanics, contact problems, fracture mechanics. prereq: 4501 or equiv, Math 2263 or equiv or instr consent
AEM 8201 - Fluid Mechanics I
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Mathematical and physical principles governing the motion of fluids. Kinematic, dynamic, and thermodynamic properties of fluids; stress and deformation; equations of motion; analysis of rotational and irrotational inviscid incompressible flow; two-dimensional and three-dimensional potential flow. prereq: 4201 or equiv, Math 2263 or equiv
AEM 8202 - Fluid Mechanics II
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Analysis of incompressible viscous flow; creeping flows; boundary layer flow. prereq: 8201
AEM 8207 - Hydrodynamic Stability
Credits: 3.0 [max 4.0]
Typically offered: Periodic Fall
Theory of hydrodynamic stability. Stability of shear flows, rotating flows, boundary layer, two fluid flows, fingering flows, Rayleigh-Taylor instability, Kelvin Helmholtz instability, capillary instability, convective/absolute stability. Methods of linear stability, normal modes, energy theory of stability, nonlinear perturbation, bifurcation theory, transition to turbulence. prereq: 8201
AEM 8211 - Theory of Turbulence I
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Reynolds equations, methods of averaging, elements of stability theory and vortex dynamics; description of large vortical structures in mixing layers and boundary layers; horseshoe vortices; flow visualization. prereq: 8202
AEM 8212 - Theory of Turbulence II
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Prandtl's mixing length theory applied to classical boundary layer, pipe, jet, and wake flows; prediction methods used at Stanford Conference; law of wall; law of wake; K-epsilon method. prereq: 8211
AEM 8232 - Physical Gas Dynamics and Molecular Simulation
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Molecular description of gas dynamics. Kinetic theory, transport theory, quantum mechanics for internal energy partitions, statistical thermodynamics. Finite rate chemical kinetics. Emphasis on link to continuum fluid dynamics. Overview of numerical simulation techniques for the Boltzmann equation with emphasis on direct simulation Monte Carlo. prereq: AEM 8231
AEM 8253 - Computational Methods in Fluid Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Spatial discretization. Spectral methods. Temporal discretization. Nonlinear sources of error. Incompressible Navier-Stokes equations. Compressible Navier-Stokes equations. prereq: 4201
AEM 8421 - Robust Multivariable Control Design
Credits: 3.0 [max 3.0]
Typically offered: Periodic Spring
Application of robust control theory to aerospace systems. Role of model uncertainty/modeling errors in design process. Control analysis and synthesis, including H[sub2] and H[infinity symbol] optimal control design and structural singular value [Greek letter mu] techniques. prereq: 5321 or equiv
AEM 8423 - Convex Optimization Methods in Control
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Practical aspects of convex optimization methods applied to solve design/analysis problems in control theory. prereq: 5321 or EE 5231 or equiv
AEM 8442 - Aerospace Positioning, Navigation and Timing
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Fundamental principles of navigation. Algorithms, performance analysis of navigational systems. Radio-navigation systems (DME,VOR,ILS). Satellite navigation ysstems (GPS,GLDNASS). Inertial navigation systems mechanization, error analysis. prereq: Exposure to [linear algebra, differential equations, probability, statistics]
AEM 8451 - System Identification: Theory and Applications
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Modeling methods for dynamic systems using measurement data, or in combination with first principles, based on theory of systems/signals. Primary emphasis on linear systems for control system design/simulation applications. Examples from aerospace applications. prereq: 4321 or equiv
AEM 8531 - Fracture Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Theories of mechanical breakdown. Kinetic rate theories and instability considerations; formation of equilibrium cracks and circular crack propagation under pulses; statistical aspects of strength and fracture of micromolecular systems; time and temperature dependency in fracture problems and instability of compressed material systems. prereq: 5503 or instr consent
BMEN 5001 - Advanced Biomaterials
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Commonly used biomaterials. Chemical/physical aspects. Practical examples from such areas as cardiovascular/orthopedic applications, drug delivery, and cell encapsulation. Methods used for chemical analysis and for physical characterization of biomaterials. Effect of additives, stabilizers, processing conditions, and sterilization methods. prereq: 3301 or MatS 3011 or grad student or instr consent
BMEN 5151 - Introduction to BioMEMS and Medical Microdevices
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Design/microfabrication of sensors, actuators, drug delivery systems, microfluidic devices, and DNA/protein microarrays. Packaging, biocompatibility, ISO 10993 standards. Applications in medicine, research, and homeland security. prereq: CSE sr or grad student or medical student
BMEN 5201 - Advanced Biomechanics
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Introduction to biomechanics of musculoskeletal system. Anatomy, tissue material properties. Kinematics, dynamics, and control of joint/limb movement. Analysis of forces/motions within joints. Application to injury, disease. Treatment of specific joints, design of orthopedic devices/implants. prereq: [[3001 or equiv], [CSE upper div or grad student]] or instr consent
BMEN 5311 - Advanced Biomedical Transport Processes
Credits: 3.0 [max 3.0]
Course Equivalencies: BMEn 5311/ChEn 5753/ME 5381
Typically offered: Every Spring
Fluid flow and mass transfer in the body, bioreactors, and medical devices. Pulsatile flows. Flows around curved and deformable vessels. Boundary layer flows. Blood rheology. Interstitial (porous media) flows. Oxygenation. Cell migration. Student critiques of published papers.
BMEN 5321 - Microfluidics in Biology and Medicine
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Fundamentals of microfluidics. Fluid mechanics/transport phenomena in microscale systems. Pressure/surface driven flows. Capillary forces, electrokinetics, hydraulic circuit analysis. Finite element modeling for microfluidic systems. Design/fabrication methods for microfluidic devices. prereq: [3111, AEM 4201, ChEn 4005, [ME 3331 or ME 3332 or CSE grad student or instr consent]
CHEM 4502 - Introduction to Quantum Mechanics and Spectroscopy
Credits: 3.0 [max 3.0]
Course Equivalencies: Chem 3502/4502
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Microscopic descriptions of chemical systems. Quantum theory. Applications to atomic/molecular structure. Molecular spectroscopy. Quantum statistical mechanics. Discussion of solutions to several differential equations. prereq: [1062/1066 or 1072H/1076H of 1082/1086], [MATH 2263 or concurrent registration is required (or allowed) in MATH 2263 or MATH 2374 or concurrent registration is required (or allowed) in MATH 2374 or MATH 2243 or concurrent registration is required (or allowed) in MATH 2243 or MATH 2373 or concurrent registration is required (or allowed) in MATH 2373], [PHYS 1302 or PHYS 1402V or PHYS 1502V]
CHEM 8021 - Computational Chemistry
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Modern theoretical methods used in study of molecular structure, bonding, reactivity. Concepts/practical applications. Determination of spectra, relationship to experimental techniques. Molecular mechanics. Critical assessment of reliability of methods. prereq: 4502 or equiv
CHEN 5771 - Colloids and Dispersions
Credits: 3.0 [max 3.0]
Course Equivalencies: ChEn 5771/MatS 5771
Grading Basis: A-F or Aud
Typically offered: Every Fall
Preparation, stability, coagulation kinetics or colloidal solutions. DLVO theory, electrokinetic phenomena. Properties of micelles, other microstructures. prereq: Physical chemistry
CHEN 8102 - Introduction to Rheology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
This course will describe flow behavior of complex fluids from both a macroscopic experimental point of view, in which we focus on characterizing nontrivial responses to stress and strain, and from a microstructural point of view, in which we focus on the microstructural and molecular origins of observed behavior. Primary topics will include: ? Linear viscoelasticity (dynamic response to varied types of small deformation) ? Non-linear phenomena (non-Newtonian flow and nonlinear elasticity) ? Phenomenological constitutive relations ? Experimental methods for shear and extensional flow ? Microstructural models of colloidal dispersions and polymer liquids
CHEN 8301 - Physical Rate Processes I: Transport
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Survey of mass transfer, dilute, and concentrated diffusion. Brownian motion. Diffusion coefficients in polymers, of electrolytes, and at critical points. Multicomponent diffusion. Mass transfer correlations/predictions. Mass transfer coupled with chemical reaction.
CSCI 5552 - Sensing and Estimation in Robotics
Credits: 3.0 [max 3.0]
Typically offered: Periodic Spring
Bayesian estimation, maximum likelihood estimation, Kalman filtering, particle filtering. Sensor modeling and fusion. Mobile robot motion estimation (odometry, inertial,laser scan matching, vision-based) and path planning. Map representations, landmark-based localization, Markov localization, simultaneous localization/mapping (SLAM), multi-robot localization/mapping. prereq: [5551, Stat 3021] or instr consent
EE 4541 - Digital Signal Processing
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Summer
Review of linear discrete time systems and sampled/digital signals. Fourier analysis, discrete/fast Fourier transforms. Interpolation/decimation. Design of analog, infinite-impulse response, and finite impulse response filters. Quantization effects. prereq: [3015, 3025] or instr consent
EE 5171 - Microelectronic Fabrication
Credits: 3.0 [max 4.0]
Typically offered: Every Fall
Fabrication of microelectronic devices. Silicon integrated circuits, GaAs devices. Lithography, oxidation, diffusion. Process integration of various technologies, including CMOS, double poly bipolar, and GaAs MESFET. prereq: CSE grad student or dept consent
EE 5173 - Basic Microelectronics Laboratory
Credits: 1.0 [max 1.0]
Typically offered: Every Fall
Students fabricate a polysilicon gate, single-layer metal, NMOS chip, performing 80 percent of processing, including photolithography, diffusion, oxidation, and etching. In-process measurement results are compared with final electrical test results. Simple circuits are used to estimate technology performance. prereq: [[5171 or concurrent registration is required (or allowed) in 5171], CSE grad student] or dept consent
EE 5231 - Linear Systems and Control
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
The course studies finite-dimensional linear systems in continuous and discrete time. Such systems are described by ordinary differential and difference equations. Input-output and state-space descriptions are provided and analyzed. Introductory methods for controlling such systems are developed. prereq: [3015, CSE grad student] or instr consent
EE 5235 - Robust Control System Design
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Development of control system design ideas; frequency response techniques in design of single-input/single-output (and MI/MO) systems. Robust control concepts. CAD tools. prereq: CSE grad, 3015, 5231 or instr consent
EE 5251 - Optimal Filtering and Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: AEM 5451/EE 5251
Typically offered: Every Fall
Basic probability theory, stochastic processes. Gauss-Markov model. Batch/recursive least squares estimation. Filtering of linear/nonlinear systems. Continuous-time Kalman-Bucy filter. Unscented Kalman filter, particle filters. Applications. prereq: [[[MATH 2243, STAT 3021] or equiv], CSE grad student] or dept consent; 3025, 4231 recommended
EE 8215 - Nonlinear Systems
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Current topics in stability analysis of nonlinear systems, design of controllers for nonlinear systems, discrete-time and stochastic nonlinear systems. prereq: instr consent
MATH 4512 - Differential Equations with Applications
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Laplace transforms, series solutions, systems, numerical methods, plane autonomous systems, stability. prereq: 2243 or 2373 or 2573
MATH 5587 - Elementary Partial Differential Equations I
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Emphasizes partial differential equations w/physical applications, including heat, wave, Laplace's equations. Interpretations of boundary conditions. Characteristics, Fourier series, transforms, Green's functions, images, computational methods. Applications include wave propagation, diffusions, electrostatics, shocks. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]
MATH 5588 - Elementary Partial Differential Equations II
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Heat, wave, Laplace's equations in higher dimensions. Green's functions, Fourier series, transforms. Asymptotic methods, boundary layer theory, bifurcation theory for linear/nonlinear PDEs. Variational methods. Free boundary problems. Additional topics as time permits. prereq: [[2243 or 2373 or 2573], [2263 or 2374 or 2574], 5587] or instr consent
MATH 8401 - Mathematical Modeling and Methods of Applied Mathematics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Dimension analysis, similarity solutions, linearization, stability theory, well-posedness, and characterization of type. Fourier series and integrals, wavelets, Green's functions, weak solutions and distributions. prereq: 4xxx numerical analysis and applied linear algebra or instr consent
MATH 8402 - Mathematical Modeling and Methods of Applied Mathematics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Calculus of variations, integral equations, eigenvalue problems, spectral theory. Perturbation, asymptotic methods. Artificial boundary conditions, conformal mapping, coordinate transformations. Applications to specific modeling problems. prereq: 8401 or instr consent
PHYS 4101 - Quantum Mechanics
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Mathematical techniques of quantum mechanics. Schrodinger Equation and simple applications. General structure of wave mechanics. Operator methods, perturbation theory, radiation from atoms. Prereq: PHYS 3041, PHYS 2601
PHYS 4201 - Statistical and Thermal Physics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Principles of thermodynamics and statistical mechanics. Selected applications such as kinetic theory, transport theory, and phase transitions. Prereq: PHYS 3041, PHYS 2201, PHYS 2601
PHYS 4211 - Introduction to Solid-State Physics
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
A modern presentation of the properties of solids. Topics include vibrational and electronic properties of solids; diffraction of waves in solids and electron band structure. Other possible topics include optical properties, magnetic phenomena, and superconductivity. prereq: 2201, 4101
ME 8888 - Thesis Credit: Doctoral
Credits: 1.0 -24.0 [max 100.0]
Grading Basis: No Grade
Typically offered: Every Fall, Spring & Summer
(No description) prereq: Max 18 cr per semester or summer; 24 cr required