| |
Mathematics |
| |
-
MATH 7340 - Complex Analysis I
Studies the fundamental theorems of analytic function theory.
Credits: 3
|
| |
-
MATH 7350 - Complex Analysis II
Studies the Riemann mapping theorem, meromorphic and entire functions, topics in analytic function theory. Prerequisite: MATH 734 or equivalent.
Credits: 3
|
| |
-
MATH 7360 - Probability Theory I
Rigorous introduction to probability, using techniques of measure theory. Includes limit theorems, martingales, and stochastic processes. Prerequisite: 7310 or equivalent.
Credits: 3
|
| |
-
MATH 7370 - Probability Theory II
Continuation of Probability Theory I. Elements of stochastic processes, including Brownian motion, continuous time martingales, and Markov processes.
Credits: 3
|
| |
-
MATH 7410 - Functional Analysis I
Studies the basic principles of linear analysis, including spectral theory of compact and selfadjoint operators. Prerequisite: MATH 734 and 731, or equivalent.
Credits: 3
|
| |
-
MATH 7420 - Functional Analysis II
Studies the spectral theory of unbounded operators, semigroups, and distribution theory. Prerequisite: MATH 741 or equivalent.
Credits: 3
|
| |
-
MATH 7450 - Introduction to Mathematical Physics
An introduction to classical mechanics, with topics in statistical and quantum mechanics, as time permits. Prerequisite: MATH 531.
Credits: 3
|
| |
-
MATH 7559 - New Course in Mathematics
This course provides the opportunity to offer a new topic in the subject of mathematics.
Credits: 1 to 4
|
| |
-
MATH 7600 - Homological Algebra
Examines categories, functors, abelian catqegories, limits and colimits, chain complexes, homology and cohomology, homological dimension, derived functors, Tor and Ext, group homology, Lie algebra homology, spectral sequences, and calculations. Prerequisite: MATH 577.
Credits: 3
|
| |
-
MATH 7705 - Problems In Topology
A continuation of the theory presented in MATH 5770 and 7800 intensively training students to apply the theory to proving theorems and solving problems in topology, especially in preparation for the General Examination in Topology. Problems are based on those from past General Exams. This course is offered in the summer and restricted to Mathematics and Graduate Arts and Science students.
Credits: 3
|
| |
-
MATH 7751 - Algebra I
Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 551, 552, or equivalent.
Credits: 3
|
| |
-
MATH 7752 - Algebra II
Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 551, 552, or equivalent.
Credits: 3
|
| |
-
MATH 7753 - Algebra III
Studies the Wedderburn theory, commutative algebra, and topics in advanced algebra. Prerequisite: MATH 751, 752, or equivalent.
Credits: 3
|
| |
-
MATH 7754 - Algebra IV
Further topics in algebra.
Credits: 3
|
| |
-
MATH 7755 - Problems in Algebra
A continuation of the theory presented in MATH 7751 and 7752 intensively training students to apply the theory to proving theorems in algebra, especially in preparation for the General Examination in Algebra. Problems are based on those from past General Exams. This course is offered in the summer and restricted to Mathematics and Graduate Arts and Science students.
Credits: 3
|
| |
-
MATH 7800 - Algebraic Topology I
Topics include the fundamental group, covering spaces, covering transformations, the universal covering spaces, graphs and subgroups of free groups, and the fundamental groups of surfaces. Additional topics will be from homology, including chain complexes, simplicial and singular homology, exact sequences and excision, cellular homology, and classical applications. Prerequisite: MATH 552, 577, or equivalent.
Credits: 3
|
| |
-
MATH 7810 - Algebraic Topology II
Devoted to chomology theory: cohomology groups, the universal coefficient theorem, the Kunneth formula, cup products, the cohomology ring of manifolds, Poincare duality, and other topics if time permits. Prerequisite: MATH 780.
Credits: 3
|
| |
-
MATH 7820 - Differential Topology
Topics include smooth manifolds and functions, tangent bundles and vector fields, embeddings, immersions, transversality, regular values, critical points, degree of maps, differential forms, de Rham cohomology, and connections. Prerequisite: MATH 531, 577, or equivalent.
Credits: 3
|
| |
-
MATH 7830 - Fiber Bundles
Examines fiber bundles; induced bundles, principal bundles, classifying spaces, vector bundles, and characteristic classes, and introduces K-theory and Bott periodicity. Prerequisite: MATH 780.
Credits: 3
|
| |
-
MATH 7840 - Homotopy Theory
Definition of homotopy groups, homotopy theory of CW complexes, Huriewich theorem and Whitehead’s theorem, Eilenberg-Maclane spaces, fibration and cofibration sequences, Postnikov towers, and obstruction theory. Prerequisite: MATH 780.
Credits: 3
|
| |
-
MATH 8250 - Partial Differential Equations
Theory of distributions. Sobolev spaces and their properties (trace and embedding theorems). Theory of elliptic equations. Time-dependent partial differential equations: parabolic and hyperbolic equations. Topics in nonlinear partial differential equations. Prerequisites: MATH 741 and 725.
Credits: 3
|
| |
-
MATH 8300 - Topics in Function Theory
Topics in real and complex function theory.
Credits: 3
|
| |
-
MATH 8310 - Operator Theory I, II
Topics in the theory of operators on a Hilbert space and related areas of function theory.
Credits: 3
|
| |
-
MATH 8320 - Operator Theory I, II
Topics in the theory of operators on a Hilbert space and related areas of function theory.
Credits: 3
|
| |
-
MATH 8360 - Stochastic Calculus and Differential Equations
This course presents the basic theory of stochastic differential equations and provides examples of its applications. It is an essential topic for students preparing to do research in probability. Topics covered include a review of the relevant stochastic process and martingale theory; stochastic calculus including Ito’s formula; existence and uniqueness for stochastic differential equations, strong Markov property; and applications. Prerequisite: MATH 736 and 737, or instructor permission.
Credits: 3
|
| |
-
MATH 8370 - Topics in Probability Theory
Selected topics in probability. Prerequisite: MATH 736 or instructor permission.
Credits: 3
|
| |
-
MATH 8400 - Harmonic Analysis
Studies Banach and C* algebras, topological vector spaces, locally compact groups, Fourier analysis.
Credits: 3
|
| |
-
MATH 8450 - Topics in Mathematical Physics
Applies functional analysis to physical problems; scattering theory, statistical mechanics, and quantum field theory.
Credits: 3
|
| |
-
MATH 8559 - New Course in Mathematics
This course provides the opportunity to offer a new topic in the subject of mathematics.
Credits: 1 to 4
|
| |
-
MATH 8600 - Commutative Algebra
The foundations of commutative algebra, algebraic number theory, or algebraic geometry.
Credits: 3
|
| |
-
MATH 8620 - Algebraic Geometry
Studies the foundations of algebraic geometry.
Credits: 3
|
| |
-
MATH 8650 - Algebraic K-Theory
Includes projective class groups and Whitehead groups; Milnor’s K2 and symbols; higher K-theory and finite fields.
Credits: 3
|
| |
-
MATH 8700 - Lie Groups
Studies basic results concerning Lie groups, Lie algebras, and the correspondence between them.
Credits: 3
|
| |
-
MATH 8710 - Lie Algebras
Studies basic structure theory of Lie algebras.
Credits: 3
|
| |
-
MATH 8720 - Differential Geometry
Studies differential geometry in the large; connections; Riemannian geometry; Gauss-Bonnet formula; and differential forms.
Credits: 3
|
| |
-
MATH 8750 - Topology of Manifolds
Studies regular and critical values, gradient flow, handle decompositions, Morse theory, h-cobordism theorem, Dehn’s lemma in dimension 3, and disk theorem in dimension 4. Prerequisite: Math 577.
Credits: 3
|
| |
-
MATH 8800 - Generalized Cohomology Theory
Topics include the axiomatic generalized cohomology theory; representability and spectra; spectra and ring spectra; orientability of bundles in generalized cohomology theory; Adams spectral sequence, and stable homotopy.
Credits: 3
|
| |
-
MATH 8830 - Cobordism and K-Theory
Studies classical cobordism theories; Pontryagin-Thom construction; bordism and cobordism of spaces; K-theory and Bott periodicity; formal groups, and cobordism.
Credits: 3
|
| |
-
MATH 8850 - Topics in Algebraic Topology
Selected advanced topics in algebraic topology.
Credits: 3
|
| |
-
MATH 8851 - Group Theory
Studies the basic structure theory of groups, especially finite groups.
Credits: 3
|
| |
-
MATH 8852 - Representation Theory
Studies the foundations of representation and character theory of finite groups.
Credits: 3
|
| |
-
MATH 8853 - Algebraic Combinatorics
Studies geometries, generating functions, partitions, and error-correcting codes and graphs using algebraic methods involving group theory, number theory, and linear algebra.
Credits: 3
|
| |
-
MATH 8854 - Arithmetic Groups
General methods of analyzing groups viewed as discrete subgroups of real algebraic subgroups. Additional topics include the congruence subgroup problem. Prerequisite: MATH 752.
Credits: 3
|
| |
-
MATH 8855 - Theory of Algebras
Studies the basic structure theory of associative or nonassociative algebras.
Credits: 3
|
| |
-
MATH 8880 - Transformation Groups
Studies groups of transformations operating on a space; properties of fixed-point sets, orbit spaces; and local and global invariants.
Credits: 3
|
| |
-
MATH 8995 - Thesis
Thesis
Credits: 3 to 12
|
| |
-
MATH 8998 - Non-Topical Research, Preparation for Research
For master’s research, taken before a thesis director has been selected.
Credits: 3 to 12
|
| |
-
MATH 8999 - Non-Topical Research
For master’s thesis, taken under the supervision of a thesis director.
Credits: 3 to 12
|
| |
-
MATH 9000 - Mathematics Colloquium
Forum for invited speakers giving mathematical colloquium) talks
Credits: 0
|
| |
-
MATH 9010 - History of Mathematics Seminar
Discusses subjects from the history of mathematics.
Credits: 1 to 3
|
| |
-
MATH 9020 - Graduate Seminar
This is a meeting place for junior faculty members and graduate students to discuss mathematics and give talks reflecting the mathematical interests of the participants.
Credits: 0
|
| |
-
MATH 9250 - Differential Equations and Dynamical Systems Seminar
Differential Equations and Dynamical Systems Seminar
Credits: 3
|
| |
-
MATH 9310 - Operator Theory Seminar
Operator Theory Seminar
Credits: 3
|
| |
-
MATH 9360 - Probability Seminar
Probability Seminar
Credits: 3
|
| |
-
MATH 9410 - Analysis Seminar
Analysis Seminar
Credits: 3
|
| |
-
MATH 9450 - Mathematical Physics Seminar
Mathematical Physics Seminar
Credits: 3
|
| |
-
MATH 9559 - New Course in Mathematics
This course provides the opportunity to offer a new topic in the subject of mathematics.
Credits: 1 to 4
|
| |
-
MATH 9800 - Topology Seminar
Topology Seminar
Credits: 3
|
| |
-
MATH 9820 - Geometry Seminar
Discusses subjects from geometry.
Credits: 1 to 3
|
| |
-
MATH 9950 - Algebra Seminar
Algebra Seminar
Credits: 3
|
| |
-
MATH 9952 - Coding Theory Seminar
Coding Theory Seminar
Credits: 3
|
| |
-
MATH 9995 - Independent Research
Independent Research
Credits: 3 to 9
|
| |
-
MATH 9998 - Non-Topical Research, Preparation for Doctoral Research
For doctoral research, taken before a dissertation director has been selected.
Credits: 3 to 12
|
| |
-
MATH 9999 - Non-Topical Research
The Mathematics Colloquium is held weekly, the sessions being devoted to research activities of students and faculty members, and to reports by visiting mathematicians on current work of interest. For doctoral dissertation, taken under the supervision of a dissertation director.
Credits: 3 to 12
|
Mechanical and Aerospace Engineering |
| |
-
MAE 6020 - Continuum Mechanics with Applications
Introduction to continuum mechanics and mechanics of deformable solids. Topics include Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed as CE 602.
Credits: 3
|
| |
-
MAE 6030 - Computational Solid Mechanics
Analyzes variational and computational mechanics of solids; potential energy; complementary energy; virtual work; Reissner’s principle; Ritz and Galerkin methods; displacement; force and mixed methods of analysis; finite element analysis including shape functions, convergence, and integration. Applications in solid mechanics. Cross-listed as CE 603. Prerequisite: MAE 602.
Credits: 3
|
| |
-
MAE 6040 - Plates and Shells
Topics include the classical analysis of plates and shells; plates of various shapes (rectangular, skew) and shells of various shapes (cylindrical, conical, spherical, hyperbolic, paraboloid); closed-form numerical and approximate methods of solution governing partial differential equations; and advanced topics (large deflection theory, thermal stresses, orthotropic plates). Cross-listed as CE 604. Prerequisite: APMA 641, AM 601 or MAE 602.
Credits: 3
|
| |
-
MAE 6070 - Theory of Elasticity
Review of the concepts of stress, strain, equilibrium, compatibility; Hooke’s law (isotropic materials); displacement and stress formulations of elasticity problems; plane stress and strain problems in rectangular coordinates (Airy’s stress function approach); plane stress and strain problems in polar coordinates, axisymmetric problems; torsion of prismatic bars (semi-inverse method using real function approach); thermal stress; and energy methods. Cross-listed as CE 607. Prerequisite: AM 602 or instructor permission.
Credits: 3
|
| |
-
MAE 6080 - Constitutive Modeling of Biosystems
The course covers state-of-the-art mechanical models to describe the constitutive behavior of hard and soft tissues with emphasis on biological form following physiological function. The course will cover linear and nonlinear elasticity, viscoelasticity, poroelasticity, and biphasic constitutive relations in the context of biological systems and will include the dependence of macroscopic behavior and properties on material microstructure. Prerequisite: MAE 602
Credits: 3
|
| |
-
MAE 6100 - Thermomechanics
Review of classical thermodynamics; introduction to kinetic theory; quantum mechanical analysis of atomic and molecular structure; statistical mechanical evaluation of thermodynamic properties; chemical thermodynamics and equilibria. Prerequisite: Graduate standing.
Credits: 3
|
| |
-
MAE 6110 - Heat and Mass Transport Phenomena
Fundamentals of conduction and convection heat and mass transfer. Derivation and application of conservation equations for heat and mass transfer in laminar and turbulent flows. Steady, unsteady and multidimensional transport. Applications to free and confined flows in forced, natural and mixed convection regimes. Phase change problems with moving boundaries, condensation and evaporation. High speed flows. Prerequisite: Undergraduate fluid mechanics or instructor permission.
Credits: 3
|
| |
-
MAE 6120 - Microscale Heat Transfer
This course will begin with a study of the fundamental microscopic energy carriers (definitions, properties, energy levels and disruptions of photons, phonons, and electrons.) Transport of energy will then be investigated with an emphasis on microscale effects in space and in time. The approaches used to describe microscale heat transportation differ significantly from the macroscopic phenomenological approaches and include new physical mechanisms. They often involve solution of the Boltzman transport equation and the equation of phonon radiative transfer. These approaches will be introduced with an emphasis on ultra-short time scale heating and ultra-low temperatures. Prerequisite: Instructor Permission
Credits: 3
|
| |
-
MAE 6130 - Kinetic Theory and Transport Properties
Derivation of Boltzmann equation; Molecular derivation of Navier-Stokes equations; dynamics of molecular collisions; Chapman-Enskog solution of Boltzmann equation; transport properties of gases; analyses of shock structure, flows with chemical reactions, radiative nonequilibrium, rarefied gases, etc. Prerequisite: MAE 610 or instructor permission.
Credits: 3
|
| |
-
MAE 6160 - Advanced Thermodynamics
Analyzes basic concepts, postulates, and relationships of classical thermodynamics; thermodynamics potentials and derivatives; energy minimum and entropy maximum principle; generalized Maxwell relations; stability considerations; phase transitions; application to perfect and imperfect systems; and extension to chemically reacting and solid systems. Prerequisite: Instructor permission.
Credits: 3
|
| |
-
MAE 6200 - Energy Principles in Mechanics
Analyzes the derivation, interpretation, and application to engineering problems of the principles of virtual work and complementary virtual work; related theorems, such as the principles of the stationary value of the total potential and complementary energy, Castigliano’s Theorems, theorem of least work, and unit force and displacement theorems. Introduces generalized, extended, mixed, and hybrid principles; variational methods of approximation, Hamilton’s principle, and Lagrange’s equations of motion; and approximate solutions to problems in structural mechanics by use of variational theorems. Cross-listed as CE 620. Prerequisite: Instructor permission.
Credits: 3
|
| |
-
MAE 6210 - Analytical Dynamics
Classical analytical dynamics from a modern mathematical viewpoint: Newton’s laws, dynamical variables, many particle systems; the Lagrangian formulation, constraints and configuration manifolds, tangent bundles, differential manifolds; variational principles, least action; non-potential forces; constrained problems; linear oscillations; Hamiltonian formulation: canonical equations, Rigid body motion. Prerequisite: Undergraduate physics, ordinary differential equations.
Credits: 3
|
| |
-
MAE 6220 - Waves
The topics covered are: plane waves; d’Alembert solution; method of characteristics; dispersive systems; wavepackets; group velocity; fully-dispersed waves; Laplace, Stokes, and steepest descents integrals; membranes, plates and plane-stress waves; evanescent waves; Kirchhoff’s solution; Fresnel’s principle; elementary diffraction; reflection and transmission at interfaces; waveguides and ducted waves; waves in elastic half-spaces; P, S, and Rayleigh waves; layered media and Love waves; slowly-varying media and WKBJ method; Time-dependent response using Fourier-Laplace transforms; some nonlinear water waves. Prerequisite: MAE 602 or equivalent.
Credits: 3
|
| |
-
MAE 6230 - Vibrations
Topics include free and forced vibrations of undamped and damped single- and multi-degree-of-freedom systems; modal analyses; continuous systems; matrix formulations; finite element equations; direct integration methods; and eigenvalue solution methods. Cross-listed as CE 623. Prerequisite: Instructor permission.
Credits: 3
|
| |
-
MAE 6240 - Nonlinear Dynamics and Waves
Introduces phase-space methods, elementary bifurcation theory and perturbation theory, and applies them to the study of stability in the contexts of nonlinear dynamical systems and nonlinear waves, including free and forces nonlinear vibrations and wave motions. Examples are drawn from mechanics and fluid dynamics, and include transitions to periodic oscillations and chaotic oscillations. Prerequisite: Undergraduate ordinary differential equations or instructor permission.
Credits: 3
|
| |
-
MAE 6250 - Multibody Mechanical Systems
Analytical and computational treatment for modeling and simulation of 3-Dimensional multibody mechanical systems. Provide a systematic and consistent basis for analyzing the interactions between motion constraints, kinematics, static, dynamic, and control behavior of multibody mechanical systems. Applications to machinery, robotic devices and mobile robots, biomechanical models for gait analysis and human motions, and motion control. Matrix modeling procedures with symbolic and numerical computational tools will be utilized for demonstrating the methods developed in this course. Focus on the current research and computational tools and examine a broad spectrum of physical systems where multibody behavior is fundamental to their design and control. Prerequisite: Engineering degree and familiarity with a programming language.
Credits: 3
|
| |
-
MAE 6310 - Fluid Mechanics I
The topics covered are: dimensional analysis; physical properties of fluids; kinematic descriptions of flow; streamlines, path lines and streak lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler and Bernoulli equations; irrotational potential flow; exact solutions to the Navier-Stokes equation; effects of viscosity - high and low Reynolds numbers; waves in incompressible flow; hydrodynamic stability. Prerequisite: Graduate Standing
Credits: 3
|
| |
-
MAE 6320 - Fluid Mechanics II
The topics covered are: thin wing theory; slender-body theory; three-dimensional wings in steady subsonic and supersonic flows; drag at supersonic speeds; drag minimization; transonic small-disturbance flow; unsteady flow; properties and modeling of turbulent flows. Prerequisite: MAE 631.
Credits: 3
|
| |
-
MAE 6330 - Lubrication Theory and Design
Topics include the hydrodynamic theory of lubrication for an incompressible fluid; design principles of bearings: oil flow, load-carrying capacity, temperature rise, stiffness, damping properties; influence of bearing design upon rotating machinery; computer modeling methods; and applications to specific types. Prerequisite: Instructor permission.
Credits: 3
|
| |
-
MAE 6340 - Transport Phenomena in Biological Systems
Fundamentals of momentum, energy and mass transport as applied to complex biological systems ranging from the organelles in cells to whole plants and animals and their environments. Derivation of conservation laws (momentum, heat and mass), constitutive equations, and auxiliary relations. Applications of theoretical equations and empirical relations to model and predict the characteristics of diffusion and convection in complex biological systems and their environments. Emphasis placed on the bio-mechanical understanding of these systems through the construction of simplified mathematical models amenable to analytical, numerical or statistical formulations and solutions, including the identification and quantification of model uncertainties. Prerequisite: Introductory fluid mechanics and/or heat or mass transfer, or instructor permission.
Credits: 3
|
| |
-
MAE 6360 - Gas Dynamics
Analyzes the theory and solution methods applicable to multi-dimensional compressible inviscid gas flows at subsonic, supersonic, and hypersonic speeds; similarity and scaling rules from small-petrurbation theory, introduction to transonic and hypersonic flows; method-of-characteristics applications to nozzle flows, jet expansions, and flows over bodies one dimensional non-steady flows; properties of gases in thermodynamic equilibrium, including kinetic-theory, chemical-thermodynamics, and statistical-mechanics considerations; dissociation and ionization process; quasi-equilibrium flows; and introduction to non-equilibrium flows. Prerequisite: MAE 610.
Credits: 3
|
| |
-
MAE 6370 - Singular Perturbation Theory
Analyzes regular perturbations, roots of polynomials; singular perturbations in ODE’s, periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals, Laplace Integrals, stationary phase, steepest descents. Examples are drawn from physical systems. Prerequisite: Familiarity with complex analysis.
Credits: 3
|
| |
-
MAE 6410 - Engineering Mathematics I
Review of ordinary differential equations. Initial value problems, boundary value problems, and various physical applications. Linear algebra, including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization, and various applications. Scalar and vector field theory, including the divergence theorem, Green’s theorem, and Stokes theorem, and various applications. Partial differential equations that govern physical phenomena in science and engineering. Solution of partial differential equations by separation by variables, superposition, Fourier series, variation of parameter, d’Alembert’s solution. Eigenfunction expansion techniques for non-homogeneous initial-value, boundary-value problems. Particular focus on various physical applications of the heat equation, the potential (Laplace) equation, and the wave equations in rectangular, cylindrical, and spherical coordinates. Cross-listed as APMA 641. Prerequisite: Graduate standing.
Credits: 3
|
| |
-
MAE 6420 - Engineering Mathematics II
Further and deeper understanding of partial differential equations that govern physical phenomena in science and engineering. Solution of linear partial differential equations by eigenfunction expansion techniques. Green’s functions for time-independent and time-dependant boundary value problems. Fourier transform methods, and Laplace transform methods. Solution of variety of initial-value, boundary-value problems. Various physical applications. Study of complex variable theory. Functions of complex variable, the complex integral calculus, Taylor series, Laurent series, and the residue theorem, and various applications. Serious work and efforts in the further development of analytical skills and response. Cross-listed as APMA 642. Prerequisite: Graduate standing and APMA/MAE 641 or equivalent.
Credits: 3
|
| |
-
MAE 6430 - Statistics for Engineers and Scientists
Role of statistics in science, hypothesis tests of significance, confidence intervals, design of experiments, regression, correlation analysis, analysis of variance, and introduction to statistical computing with statistical software libraries. Cross-listed as APMA 643. Prerequisite: Admission to graduate studies or instructor permission.
Credits: 3
|
| |
-
MAE 6440 - Applied Partial Differential Equations
Includes first order partial differential equations (linear, quasilinear, nonlinear); classification of equations and characteristics; and well-posed-ness of initial and boundary value problems. Cross-listed as APMA 644. Prerequisite: APMA/MAE 641 or equivalent.
Credits: 3
|
| |
-
MAE 6555 - Special Topics in Distance Learning
Special Topics in Distance Learning
Credits: 3
|
| |
-
MAE 6592 - Special Topics in Mechanical and Aerospace Science: Intermediate Level
Study of a specialized, advanced, or exploratory topic relating to mechanical or aerospace engineering science, at the first-graduate-course level. May be offered on a seminar or a team-taught basis. Subjects selected according to faculty interest. New graduate courses are usually introduced in this form. Specific topics and prerequisites are listed in the Course Offering Directory.
Credits: 3
|
| |
-
MAE 6594 - Special Graduate Project in Mechanical or Aerospace Engineering: First-Year Level
A design or research project for a first-year graduate student under the supervision of a faculty member. A written report must be submitted and an oral report presented. Up to three credits from either this course or MAE 794 may be applied toward the master’s degree. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.
Credits: 1 to 12
|
| |
-
MAE 6610 - Linear Automatic Control Systems
Studies the dynamics of linear, closed-loop systems. Analysis of transfer functions; stability theory; time response, frequency response; robustness; and performance limitations. Design of feedback controllers. Cross-listed as ECE 621. Prerequisite: Instructor permission.
Credits: 3
|
| |
-
MAE 6620 - Linear State Space Systems
A comprehensive treatment of the theory of linear state space systems, focusing on general results which provide a conceptual framework as well as analysis tools for investigation in a wide variety of engineering contexts. Topics include vector spaces, linear operators, functions of matrices, state space description, solutions to state equations (time invariant and time varying), state transition matrices, system modes and decomposition, stability, controllability and observability, Kalman decomposition, system realizations, grammians and model reduction, state feedback, and observers. Cross-listed as SYS 612 and ECE 622. Prerequisite: Graduate standing.
Credits: 3
|
| |
-
MAE 6680 - Advanced Machine Technologies
Studies new technologies for machine automation, including intelligent machines, robotics, machine vision, image processing, and artificial intelligence. Emphasis on computer control of machines; intelligent automatic control systems; and distributed networks. Focuses on research problems in each of these areas.
Credits: 3
|
| |
-
MAE 6710 - Finite Element Analysis
The topics covered are: review of vectors, matrices, and numerical solution techniques; discrete systems; variational formulation and approximation for continuous systems; linear finite element method in solid mechanics; formulation of isoparametric finite elements; finite element method for field problems, heat transfer, and fluid dynamics. Prerequisite: MAE 602 or equivalent
Credits: 3
|
| |
-
MAE 6720 - Computational Fluid Dynamics I
Includes the solution of flow and heat transfer problems involving steady and transient convective and diffusive transport; superposition and panel methods for inviscid flow, finite-difference methods for elliptic, parabolic and hyperbolic partial differential equations, elementary grid generation for odd geometries, primitive variable and vorticity-steam function algorithms for incompressible, multidimensional flows. Extensive use of personal computers/workstations, including interactive graphics. Prerequisite: MAE 631 or instructor permission.
Credits: 3
|
| |
-
MAE 6850 - Measurement Theory and Advanced Instrumentation
Studies the theory and practice of modern measurement and measurement instrumentation; statistical analysis of data; estimation of errors and uncertainties; operating principles and characteristics of fundamental transducers and sensors; common electrical circuits and instruments; and signal processing methods. Prerequisite: Undergraduate electrical science.
Credits: 3
|
| |
-
MAE 6870 - Applied Engineering Optics
Analyzes modern engineering optics and methods; fundamentals of coherence, diffraction interference, polarization, and lasing processes; fluid mechanics, heat transfer, stress/strain, vibrations, and manufacturing applications; laboratory practice: interferometry, schlieren/shadowgraph, and laser velocimetry. Prerequisite: PHYS 241E.
Credits: 3
|
| |
Page: 1 <- Back 10 … 28
| 29
| 30
| 31
| 32
| 33
| 34
| 35
| 36
| 37
| 38
… Forward 10 -> 45 |
