Graduate Program

Graduate Courses

Courses currently being offered:

Fall
Spring

Check the course schedules/descriptions available via the Registrar's Office for the official schedules for the widest range of terms for which such information is available.


Below you will find a list of all graduate courses that have been offered.

NOTE: Not all of these courses are offered in any given year.

ME 400 APPLIED BOUNDARY VALUE PROB

This course covers the classical partial differential equations of mathematical physics: the heat equation, the Laplace equation, and the wave equation. The primary technique covered in the course is separation of variables, which leads to solutions in the form of eigenfunction expansions. The topics include Fourier series, separation of variables, Sturm-Liouville theory, unbounded domains and the Fourier transform, spherical coordinates and Legendre’s equation, cylindrical coordinates and Bessel’s equation. The software package Mathematica will be used extensively. Prior knowledge of Mathematica is helpful but not essential. In the last two weeks of the course, there will be a project on an assigned topic. The course will include applications in heat conduction, electrostatics, fluid flow, and acoustics.

Last Offered: Fall 2017

ME 401 MATHEMATICAL METHODS

Mathematical methods for obtaining approximate analytical solutions to differential equations that cannot be solved exactly. Particular attention will be given to the following methods: Boundary Layer Theory, WKB Theory, Multiple-Scale Analysis, Asymptotic Expansion of Integrals (method of stationary phase, method of steepest descents), Renormalization group.

Last Offered: Spring 2013

ME 402 PARTIAL DIFFERENTIAL EQUATIONS

The course covers first-order equations and the theory of characteristics, classification of second-order linear equations, method of separation of variables, Green’s functions, and some numerical methods.

Prerequisites: ME 201, MTH 282
Last Offered: Spring 2016

ME 403 NUMERICAL METHODS

Review of numerical solutions of ODE's including stability and related concepts, boundary value problems, shooting methods; computational methods for PDE's: consistency and stability analysis (von Neumann, Kreiss), differential approximations, analysis of implicit methods, applications from hydrodynamics (Navier-Stokes), elliptical problems with non-constant coefficients, wave propagation in finite and infinite domains. At the conclusion of this course, the student should be comfortable with modern super computing techniques to solve physical problems of interest for his/her dissertation research.

Prerequisites: ME 402 or PHY 402 (maybe taken w/ OPT 411, or consent w/ instructor. Some Matlab preferred.
Last Offered: Spring 2012

ME 404 COMPUTATIONAL METHODS APPLIED TO BIOLOGICAL SYSTEMS

The course deals with computational methods to analytically intractable mathematical problems in biological research. For the first half of the course, general numerical analysis topics are reviewed such as linear algebra, ODE and PDE. Through homework assignments, students write their own computer code. Sufficient sample solutions are given to practice various numerical methods within limited time. The rest of the course is comprised of case studies and projects. Examples of computational analyses are drawn from life science problems such as biodynamics of human loco motion, ion channel kinetics, ionic diffusion, and finite element analysis of cells/tissues. For final project, students bring their own research problems, express them in mathematical equations, solve them using custom written computer programs and interpret the solutions.

Prerequisites: Fundamental linear algebra, ordinary differential equation, some experience of Matlab
Last Offered: Fall 2016

ME 406 DYNAMICAL SYSTEMS

Plane autonomous systems: phase plane, stability of equilibrium by linearization; stability by Liapunov methods; periodic solutions and their stability; global phase portraits; bifurcations. Higher order autonomous systems: matrix methods for linear systems; local behavior near equilibrium points; Lorenz equations and chaotic solutions; tent map and Lorenz equations; Liapunov exponents. Driven systems: Duffing's equation; the driven pendulum.

ME 407 ADVANCED DYNAMICS

Description: Review of principles of mechanics. Some techniques from the calculus of variations. Generalized coordinates and constraints (holonomic and nonholonomic). Kinematics of rigid body motion. Hamilton's principle and Lagrange's equations of motion. Hamilton's equations of motion. Modeling and numerical simulation of engineering systems. Other topics as time allows.

Prerequisites: ME 121, 211, 213; ME/MTH 163. ME 201 or higher strongly recommended
Last Offered: Fall 2012

ME 408 PHASE TRANSFORMATION

How and why atomic rearrangements leading to phase transformations occur and how they are associated with kinetic and crystallographic features; liquid-solid and solid-solid transformations, nucleation theory,growth, massive and martensitic transformations.

Prerequisites: ME 280 or equivalent
Last Offered: Fall 2015

ME 412 VISCO IN BIO TISSUES

No description

Last Offered: Spring 2017

ME 424 INTRODUCTION ROBUST DESIGN & QUALITY ENGINEERING

Definition and pursuit of "quality" as a design criterion. The concept of robust design. Selection of the quality characteristic, incorporation of noise, and experimental design to improve robustness. Analysis and interpretation of results.

Prerequisites: ME 164 or equivalent
Last Offered: Spring 2017

ME 431 COMPUTATIONAL METHODS

No description

Last Offered: Spring 2014

ME 432 OPTO-MECHANICAL

The mechanical design and analysis of optical components and systems will be studied. Topics will include kinematic mounting of optical elements, the analysis of adhesive bonds, and the influence of environmental effects such as gravity, temperature, and vibration on the performance of optical systems. Additional topics include analysis of adaptive optics, the design of lightweight mirrors, thermo-optic and stress-optic (stress birefringence) effects. Emphasis will be placed on integrated analysis which includes the data transfer between optical design codes and mechanical FEA codes. A term project is required for ME 432.

Last Offered: Spring 2017

ME 434 INTRODUCTION TO PLASMA PHYSICS I

Basic plasma parameters; quasi-neutrality, Debye length, plasma frequency, plasma parameter, Charged particle motion: orbit theory. Basic plasma equations; derivation of fluid equations from the Vlasov equation. Waves in plasmas. MHD theory. Energy balance.

Prerequisites: PHY 217 or OPT 262
Last Offered: Fall 2017

ME 435 INTRODUCTION TO PLASMA PHYSICS II

Vlasov equation, Landau damping. VanKampen modes, two-stream instability, micro-instabilities, introduction to kinetic theory, shield clouds, Thomson scattering, and the Fokker-Planck equation.

Prerequisites: ME 434 or consent of the instructor
Last Offered: Spring 2017

ME 436 COMPRESSIBLE FLOW

Kinematics, equations of motion; thermodynamics of gases; linear acoustics; Bernoulli equation; potential flow; steady one-dimensional flow; shock waves, normal and oblique shocks; unsteady one-dimensional flow, characteristics. Applications in engineering and astrophysics.

Prerequisites: ME 225 and ME 201 or MTH 281
Last Offered: Spring 2017

ME 437 INCOMPRESSIBLE FLOW

The study of incompressible flow covers fluid motions which are gentle enough that the density of the fluid changes little or none. Topics: Conservation equations. Bernoulli’s equation, the Navier-Stokes equations. Inviscid flows; vorticity; potential flows; stream functions; complex potentials. Viscosity and Reynolds number; some exact solutions with viscosity; boundary layers; low Reynolds number flows. Waves.

Prerequisites: ME 225, ME 201 or MTH 281
Last Offered: Fall 2016

ME 439 TURBULENCE

This is an introduction to turbulence theory and modeling for graduate students in engineering and the physical sciences. This course stresses intuitive physical understanding, mathematical analysis techniques,and numerical methodologies. It will highlight applications in various disciplines, including aeronautics,fusion sciences, geophysics and astrophysics.

Prerequisites: ME 225, ME 201, ME 400
Last Offered: Fall 2017

ME 440 MECHANICS OF STRUCTURES

Application of energy methods to obtain the governing equations and approximate solutions to problems involving elastic structures. Static models will be developed to determine the maximum displacements and stresses for structures subjected to forces. Dynamic models will be developed to determine approximate natural frequencies and mode shapes. Rayleigh-Ritz and Galerkin approximation methods will be covered.

Prerequisites: ME226 ME213
Last Offered: Spring 2015

ME 441 FINITE ELEMENTS

This course provides a thorough grounding on the theory and application of linear finite element analysis in solid mechanics and related disciplines. Topics: structural matrix analysis concepts and computational procedures; shape functions and element formulation methods for 1-D, 2-D problems; variational methods, weighted residual methods and Galerkin techniques; isoparametric elements; error estimation and convergence; global analysis aspects. Term project and homework require computer implementation of 1-D and 2-D finite element procedures using Matlab. Term project not required for ME254

Prerequisites: MTH 164 & MTH 165, ME 226 and familiarity with Matlab
Last Offered: Fall 2017

ME 443 APPLIED VIBRATION ANALYSIS

Deformations and the stresses in different types of structural systems subjected to prescribed dynamic loading conditions. Topics include: overview of structural dynamics, matrix structural analysis and Finite Element analysis, single-degree and multi-degree-of-freedom systems, linear and inelastic systems, numerical evaluation of dynamic response, Finite Element methods in dynamic analysis, earthquake response and structural design.

Prerequisites: ME 226, ME213
Last Offered: Spring 2016

ME 444 CONTINUUM MECHANICS

Course Description: The mechanics of continuous media. The basic notations and concepts in applied mechanics will be covered. These concepts are the foundation for both solid and fluid mechanics and applications in both of these areas will be used as examples. The course will include 1) indicial notation and tensor analysis, 2) concepts of stress, 3) both Eulerian and Lagrangian descriptions of deformation and strain, 4) conservation of mass, momentum, energy, and 5) constitutive equations to describe material response.

Prerequisites: Basic ordinary and partial differential equations, linear algebra, undergraduate fluid mechanics (ME225) and solid mechanics (ME226).
Last Offered: Fall 2017

ME 445 PRECISION INSTRUMENT DESIGN

This course focuses teaching the multidisciplinary aspects of designing complex, precise systems. In these systems, aspects from mechanics, optics, electronics, design for manufacturing/assembly, and metrology/qualification must all be considered to design, build, and demonstrate a successful precisionsystem. The goal of this class is to develop a fundamental understanding of multidisciplinary design for designing the next generation of advanced instrumentation.

Last Offered: Fall 2017

ME 449 ELASTICITY

Analysis of stress and strain; equilibrium; compatibility; elastic stress-strain relations; material symmetries. Torsion and bending of bars. Plane stress and plane strain; stress functions. Applications to half-plane and half-space problems; wedges; notches. 3-D problems via potentials.

Prerequisites: ME226; ME163 or MTH163
Last Offered: Spring 2017

ME 451 Characterization Methods in Materials

Crystallography, symmetry elements, space groups, x-ray diffraction from single crystals and powder patterns. Fourier transforms, grain size effects, residual stresses and textures, diffuse and small angle scattering, Bragg and Laue x-ray diffraction topography, thin films and epitaxial layers. Modern x-ray software for diffraction analysis including textures, residual stresses, pattern identification and Rietveld applications.

Prerequisites: ME 280 or equivalent
Last Offered: Spring 2016

ME 453 INTRO TO NUCLEAR ENGINEERING

A first course in nuclear engineering with emphasis on the fundamental physics and technology of modern water-cooled power reactors, the nuclear fuel cycle, and the regulatory environment surrounding nuclear power in the United States

Prerequisites: MTH 163, Ordinary Differential Equations, or equivalent ME 122, Computational Methods in Mechanical Engineering, or equivalent PHY 123, Modern Physics (recommended)
Last Offered: Spring 2014

ME 458 NON-LINEAR FINITE ELEMENTS

The theory and application of nonlinear FE methods in solid and structural mechanics, and biomechanics. Topics: review and generalization of linear FE concepts, review of solid mechanics, nonlinear incremental analysis, FE formulations for large displacements and large strains, nonlinear constitutive relations, incompressibility and contact conditions, hyperelastic materials, damage plasticity formulation, solution methods, explicit dynamic formulation.

Prerequisites: ME441 (can be taken concurrently) or permission of instructor.
Last Offered: Spring 2017

ME 460 THERMODYNAMICS OF SOLIDS

Review of basic thermodynamic quantities and laws; equations of state; statistical mechanics; heat capacity; relations between physical properties; Jacobian algebra; phase transformations, phase diagrams and chemical reactions; partial molal and excess quantities, phases of variable composition; free energy of binary and multicomponent systems; surfaces and interfaces. The emphasis is on the physical and chemical properties of micro and nano solids including stress and strain variables.

Last Offered: Fall 2017

ME 461 FRACTURE & ADHESION

Stress fields near cracks in linear elasticity. Linear elastic fracture mechanics. Griffith fracture theory. K and J approaches to fracture. Failure analysis and fracture stability; crack tip deformation, crack tip shielding. Crack nucleation. Adhesion. Low cycle fatigue; fatigue crack propagation. Emphasis on the role of microstructure in determining fracture, adhesion and fatigue behavior of materials; improving fracture toughness for advanced materials especially ceramics and polymers. This course is taught at a level that brings the student to the level of current research.

Prerequisites: Prerequisites: ME 280, 226
Last Offered: Spring 2016

ME 462 SOLIDS & MATERIALS LAB

Lecture and laboratory. Lecture: engineering problem solving methodologies and review of basic statistics. Laboratory: dealing with solids/materials instrumentation Students work in groups of three. Graduate students work alone on independent projects.

Prerequisites: ME280, ME226
Last Offered: Fall 2017

ME 463 MICROSTRUCTURES

Point, line, 2-D and 3-D defects. Diffusion of interstitial and substitutional solutes. Random walk and correlation effects. Thermal diffusion. Irreversible thermodynamics. Diffusion-induced stresses. Dislocations. Grain boundaries and interfaces. Nanowires and particles. Precipitates and inclusions. Amorphous materials, polymers, and composite structures.

Prerequisites: ME 280
Last Offered: Spring 2014

ME 466 CORROSION

A scientific approach to understanding the oxidation and dissolution of metals related to corrosion control, electrical energy generation, metallic plating, and energy storage. Characterization of corrosion types. Interfacial electrochemical mechanisms, thermodynamics, electrode potentials, interphases, and Pourbaix diagrams. Kinetics of free corrosion and electron limited corrosion including polarizations and overpotentials. Passivity. Tafel behavior with Butler-Volmer interpretations. Experimental measurements used in corrosion research and in battery research. Corrosion in iron based and aluminum based aqueous systems. Corrosion in lithium and sodium based non-aqueous systems. Effects of stress, including mechanisms of stress corrosion cracking related to metallurgical structure and role of the electrical double layer. Catalytic behavior of free surface nanostructures intended to catalyze oxygen reactions and ease barriers to metallic plating and ionic dissolution at polar electrolyte interfaces.

Last Offered: Spring 2017

ME 481 MECHANICAL PROP OF MATERIALS

The mechanical response of crystalline (metals, ceramics, semiconductors)and amorphous solids (glasses, polymers) and their composites in terms of the relationships between stress, strain, damage, fracture, strain-rate, temperature, and microstructure.

Prerequisites: ME 280, MTH 163 or equivalent
Last Offered: Fall 2017

ME 482 BIOSOLID MECHANICS

No description

Last Offered: Fall 2017

ME 483 BIOSOLID MECHANICS

Application of engineering mechanics to biological tissues with an emphasis on orthopedic biomechanics. Includes an investigation of structure-function relationships in cartilage, bone, soft tissues and blood cells, as well as static analyses of the musculoskeletal system at the joint level. Techniques for modeling complex biological material properties such as composites, poroelasticity, finite elasticity, and viscoelasticity will also be presented.

Prerequisites: ME 226 or equivalent
Last Offered: Fall 2014

ME 485 NONLINEAR FINITE ELEMENT

No description

ME 491 MASTER'S READING COURSE ME

No description

Last Offered: Fall 2017

ME 492 SPEC TOP:HIGH ENERGY DEN PHY

Precision Engineering is used to design and develop sensors, systems, and instruments which are generally multidisciplinary and require simultaneous consideration of many facets to achieve a desired specification. This includes systems like displacement and surface interferometers, high speed machining centers, lithography tools, and diamond turning machines. Precision engineering is used to push the current state of the art into new frontiers. The goal of this class is to develop a fundamental understanding of the tools and techniques used for designing, assessing, and ultimately implementing precision systems.

Last Offered: Fall 2017

ME 493 MASTER'S ESSAY

No description

Last Offered: Fall 2017

ME 494 MASTERS INTERNSHIP

No description

Last Offered: Fall 2017

ME 495 MASTER'S RESEARCH IN ME

No description

Last Offered: Fall 2017

ME 496 CURRNT RESEARCH IN MECHANICS

No description

Last Offered: Spring 2017

ME 532 MAGNETOHYDRO DYNAMICS

A general introduction to magnetohydrodynamics (MHD), with applications in engineering and astrophysics. The MHD approximation, basic equations, boundary conditions. The induction equation, the magnetic Reynolds number; perfectly conducting fluids, frozen-in magnetic fields; kinematic MHD, combined convection and diffusion of magnetic fields. Magnetic equilibria, magneto-atmospheres, magnetic buoyancy; force-free fields. Alfvén waves, magneto-acoustic waves, magneto-atmospheric waves, MHD shock waves. Magnetic flux tubes: tubes: waves, siphon flows. Viscous flows: MHD channel flows, Hartmann boundary layers, electromagnetic pumps and flow meters; vorticity in MHD flows. Stability of magnetohydrostatic configurations: kink and sausage instabilities, convective instability. Dynamo theory: Cowling's theorem, the mean-field dynamo equations, the alpha effect, solar and stellar dynamos, interface dynamos, nonlinear dynamos.

Last Offered: Spring 2014

ME 533 INTRO-INERTIAL CONFINEMENT FUSION

Fusion energy. Lawson criterion for thermonuclear ignition. Fundamentals of implosion hydrodynamics, temperature and density in spherical implosions. Laser light absorption. Implosion stability. Thermonuclear energy gain.

Last Offered: Fall 2016

ME 535 LASER PLASMA INTERACTIONS

Breakeven conditions for inertial confinement fusion. The coronal plasma. Inverse bremsstrahlung absorption. Resonance absorption. Parametric instabilities. Nonlinear plasma waves. Zakharov equations and collapse.

Last Offered: Spring 2017

ME 536 INERTIAL CONFINEMENT FUSION

Introduction to probability theory, stochastic processes, and statistical continuum theory. Experimental facts of turbulent motion. Kinematics and dynamics of homogeneous turbulence. Isotropic turbulence. The closure problem. Hopf's functional formalism and its generalizations. Mixing-length and phenomenological theories. Turbulent shear flows. Transition from laminar to turbulent flow. The general concepts of stability theory.

Last Offered: Fall 2017

ME 541 NANOSCALE CRYSTALLINE DEFECT

No description

Last Offered: Spring 2016

ME 545 ADV TOPICS IN PLASMA PHYSICS

The course will discuss the physical principles of selected diagnostics used for plasma measurements. This includes measurements of density, temperature, current, magnetic field, refractive index, emitted and scattered electromagnetic radiation, radiation properties etc. The emphasis lays on a systematic presentation from first principles that will help to form the basis for gaining understanding of many applications in plasma physics. We will concentrate on laboratory plasma diagnostics from the perspective of controlled fusion research.

Prerequisites: ME 434 or permission of instructor.
Last Offered: Spring 2016

ME 591 PHD READING COURSE IN ME

No description

Last Offered: Fall 2017

ME 594 RESEARCH INTERNSHIP

No description

Last Offered: Fall 2017

ME 595 PHD RESEARCH IN ME

No description

Last Offered: Fall 2017

ME 595A PHD RESEARCH IN ABSENTIA

No description

Last Offered: Fall 2017

ME 890 SUMMER IN RESIDENCE - MA

No description

Last Offered: Summer 2016

ME 895 CONT OF MASTER'S ENROLLMENT

No description

Last Offered: Fall 2017

ME 897 MASTERS DISSERTATION

No description

Last Offered: Fall 2017

ME 899 MASTER'S DISSERTATION

No description

Last Offered: Fall 2017

ME 899A MSTRS DISERTATN IN ABSENTIA

No description

Last Offered: Fall 2017

ME 985 LEAVE OF ABSENCE

No description

Last Offered: Fall 2017

ME 986V FULL TIME VISITING STUDENT

No description

Last Offered: Fall 2017

ME 987V PART TIME VISITING STUDENT

No description

Last Offered: Spring 2016

ME 990 SUMMER IN RESIDENCE

No description

Last Offered: Summer 2011

ME 995 CONT OF DOCTORAL ENROLLMENT

No description

Last Offered: Fall 2017

ME 997 DOCTORAL DISSERTATION

No description

Last Offered: Fall 2017

ME 997A DOCT DISSERTATN IN ABSENTIA

No description

Last Offered: Fall 2017

ME 999 DOCTORAL DISSERTATION

No description

Last Offered: Fall 2017

ME 999A DOCT DISSERTATN IN ABSENTIA

No description

Last Offered: Fall 2017

ME 999B IN-ABSENTIA ABROAD

No description

Last Offered: Spring 2017