CE 5122 (3 Credits) Advanced Mechanics of Materials

Stress and strain, combined stress, and theories of failure. Torsion of non-circular sections. Shear center, unsymmetrical bending, curved flexural members, and beams on elastic foundations. Energy methods.


CE 5163 (3 Credits) Fracture Mechanics

This course focuses on fundamental concepts and applications of fracture mechanics. Topics include linear elastic fracture mechanics, elastic plastic fracture mechanics, computational fracture mechanics, fracture mechanisms in metals and non-metals, fracture testing, dynamic and time-dependent fracture, fatigue crack growth, interfacial fracture, fracture in advanced materials, and engineering applications.


CE 5164 (3 Credits) Finite Element Methods in Applied Mechanics I

Formulation of finite elements methods for linear static analysis. Development of two and three dimensional continuum elements, axisymmetric elements, plate and shell elements, and heat transfer elements. Evaluation of basic modeling principles including convergence and element distortion. Applications using commercial finite element programs. Course Equivalents: ME 5520


CE 5166 (3 Credits) Finite Element Methods in Applied Mechanics II

Formulation of finite elements methods for modal and transient analysis. Development of implicit and explicit transient algorithms. Stability and accuracy analysis. Formulation of finite element methods for material and geometric nonlinearities. Development of nonlinear solution algorithms. Applications using commercial finite element code. Course Equivalents: ME 5521


CE 5380 (3 Credits) Bridge Structures

Steel, reinforced concrete, prestressed concrete, and girder, box girder bridges; curved bridges; loadings; durability; fatigue; vibrations. Design project.


CE 5610 (3 Credits) Advanced Reinforced Concrete Structures

Behavior and design of reinforced concrete for flexure, shear, torsion, bond, and axial loads; two way slabs; beam-column joints; general flexure theory; seismic considerations; review of design specifications.


CE 5620 (3 Credits) Advanced Steel Structures

Behavior, stability and design of steel columns, beams, beam-columns, plates, bracing, frames; torsional behavior; fatigue and brittle fracture; review of design specifications.


CE 5630 (3 Credits) Wood Design

Physical and mechanical properties of wood. Behavior of wood beams, columns, beam columns, connectors and fasteners; introduction to plywood and glued-laminated members; analysis and design of structural diaphragms and shear walls.

ECE 5101 (3 credits) Introduction to System Theory
Modeling and analysis of linear systems. Introduction to functions of a complex variable. Linear algebra with emphasis on matrices, linear transformations on a vector space, and matrix formulation of linear differential and difference equations. State variable analysis of linear systems. Transform methods using complex variable theory, and time-domain methods including numerical algorithms.


ECE 5510  Power System Analysis

Fundamentals of power system planning, operation, and management. Power generation and distribution. Modeling of AC generator, AC and DC motors, transformer, and cable. Power flow solution. Modern power system monitoring/control, fault analysis, and transient stability analysis using computer tools. Use of power system simulation tools for power system planning and design.

Prerequisite: ECE 2001 – Electrical Circuits or equivalent


ECE 5512  Power Distribution

Principles of distribution system planning, automation and real-time operation with applications. Concepts of AC/DC Electricity. Three-phase power distribution as well as DC and Hybrid circuits. Load flow calculations, fault analysis, and reliability evaluation. Distributed power resources. Distribution system protection and reconfiguration. Smart distribution technologies. Efficient and resilient energy utilization.

Prerequisite: ECE 3231 – Introduction to Modern Power Systems or equivalent


ECE 5520  Advanced Power Electronics

Advanced converter and inverter topologies for high efficiency applications. Non-ideal component characteristics. Necessary components such as gate drive circuits and magnetic component design (that are not covered in introductory power electronics courses).

Prerequisite: ECE 3211 – Power Electronics or equivalent


ECE 5540  Electrical System Protection and Switchgear

Methods to sense voltage and current in medium and low voltage applications. Voltage sensing techniques include differential voltage amplifiers, shunt voltage measurement, and potential transformers. Current sensing techniques include current transformers, Rogowski coils, series voltage measurement, and Hall-effect sensors. Solid-state and mechanical relays and timing functions. Fuses and circuit breakers at medium voltage levels with the focus on ratings, application-specific selection, and response time. Protection methods, e.g. differential protection, of transformers, generators, and cables with the focus on distance relays and specialized devices.

Prerequisite: Instructor’s consent

Recommended preparation: ECE 3212 – Electric Machines and Drives or equivalent


ECE 6095 (1 – 3 Credits) Special Topics in Electrical and Systems Engineering

Classroom and/or laboratory courses in special topics as announced in advance for each semester.


ECE 6104 (3 Credits) Info Control & Games

Problems of static and dynamic optimization where more than one decision maker is involved, each having own payoff and access to different information. Review of elementary decision and control theory, non-cooperative games, cooperative games, bargaining models, differential games, team decision theory, Nash games, Stackelberg games (leader-follower problems). Introduction to large-scale systems and hierarchical control.

Prerequisite: ECE 5101 and ECE 6111


ECE 6108 (3 Credits) Linear Programming and Network Flows

Computational methods for linear programming with special emphasis on sequential and parallel algorithms for Network Flow Problems. Standard and canonical forms of linear programming, revised Simplex methods, basis updates, decomposition methods, duality, shortest paths, minimal spanning trees, maximum flows, assignment problems, minimum cost network flows, and transportation problems.

Prerequisites: ECE 5101


ECE 6111 (3 Credits) Applied Probability and Stochastic Processes

Statistical methods for describing and analyzing random signals and noise. Random variables, conditioning, and expectation. Stochastic processes, correlation, and stationarity. The response of linear systems to stochastic inputs.


ECE 6122 (3 Credits) Digital Signal Processing

Discrete-time signals and systems. The z-transform. The Discrete Fourier Transform (DFT). Convolution and sectioned convolution of sequences. IIR and FIR digital filter design and realization. Computation of the DFT: The Fast Fourier Transform (FFT), algorithms. Decimation and interpolation. Parametric and nonparametric spectral estimation. Adaptive filtering. Finite word length effects.


ECE 6161 (3 Credits) Modern Manufacturing System Engineering

Issues and methods in modern manufacturing systems. Integrated product and process development. Design for quality, on-line quality control and improvement, reliability during product development, and design for testability. Computer-aided production management, production planning and scheduling, and optimization-based planning and coordination of design and manufacturing activities. Targeted toward students, professional engineers, and managers who want to have an impact on the state-of-the-art and practice of manufacturing engineering, and to improve manufacturing productivity.


ENGR 5311 – Professional Communication and Information Management
Development of the advanced communication skills as well as information management required of engineers and engineering managers in industry, government, and business. Focus on (1) the design and writing of technical reports, articles, proposals and memoranda that address the needs of diverse organizational and professional audiences; (2) the preparation and delivery of organizational and technical oral and multimedia presentations and briefings; (3) team building skills with an emphasis on communications; and (4) knowledge management.

ENGR 5312 – Engineering Project Planning and Management
This course provides a methodology for managing engineering projects. Topics include project lifecycle, strategic planning, budgeting, and resource scheduling. Coursework also includes work estimating, evaluating risk, developing the project team, project tracking and performing variance analysis. Case studies are used as class and homework assignments to focus the class on the topics presented.

ENGR 5314 – Advanced Engineering Mathematics – ENVE 5320 – Quantitative Methods for Engineers (for ENVE), ENVE – 5330 – Probabilistic Methods in Engineering Systems (for TRUE)
This course draws the advanced math topics including Laplace, Fourier and z-Transform methods, probability theory, ordinary differential equations and systems of ODEs, partial differential equations, vector calculus, elements of statistics, linear and non-linear optimization, matrix theory, and special functions like Bessel, Legendre, and gamma. This course is set up as modules. Students will be required to complete certain modules depending on their background and concentrations. ENGR 5314 Fall 2016 Syll

ENGR 5300 - Capstone Project – Students are encouraged to work on a company-sponsored project

ME 5105 (3 Credits) Basic Concepts of Continuum Mechanics
An introductory course in the theory of continuum mechanics. Development of physical principles using
cartesian tensors. Concepts of stress, strain and motion. Basic field equation for the Newtonian fluid and
the elastic solid.
ME 5110 (3 Credits) Advanced Thermodynamics
Microscopic view of thermodynamics: probability and statistics of independent events, thermodynamic
probabilities and most probable thermodynamic distributions, molecular structure and partition function, Ensemble of microstates describing macroscopic behavior, with ideal gas as an example, Macroscopic descriptions of thermodynamic equilibrium and equilibrium states, Reversible processes, Heat and Work interactions, Mixtures of pure substances and chemical equilibrium, Stability and phase transitions, Irreversible thermodynamics, Onsager reciprocity relations and thermo-electric effects, Kinetic theory of gases.

ME 5120 (3 Credits) Advanced Thermo-Fluids I
Fluid as a continuum, Kinematics and decomposition of fluid motion, Conservation of mass and momentum, Navier-Stokes equations, Conservation of energy, Exact solutions to governing equations, Potential flows, Vorticity dynamics and low Reynolds number flows, Laminar boundary layers including heat transfer, Laminar free shear flows including heat transfer, Flow instabilities and transition.

ME 5130 (3 Credits) Advanced Heat and Mass Transfer
Review of thermophysical properties of matter including nanoscale effects. Exact and computational solutions of heat conduction equation. Dimensionless conduction rate approach for steady-state and transient conduction. Species diffusion equations with emphasis on stationary media and partitioning effects. Navier-Stokes equations and exact solutions for special cases. Correlation approach for the treatment of single-phase laminar, turbulent and two-phase flow. Radiative properties and treatment of surface radiation with spectral and directional effects. Emphasis on multimode heat transfer with applications in manufacturing, nanotechnology, information technology and biotechnology.

ME 5140 (3 Credits) Heat and Mass Transfer in Multiphase Systems
Presentation of basic principles for analysis of transport phenomena in multi-phase systems and how they can be applied to a wide variety of applications. The scope is limited to thermodynamics and heat and mass transfer fundamentals in solid <-> liquid, liquid <-> vapor and solid <-> vapor with the emphasis in
condensation, evaporation, sublimation, vapor deposition, boiling, two-phase flow, melting and

ME 5150 (3 Credits) Analytical and Applied Kinematics
Analytical methods of coordinate transformation and two and three-dimensional motion, analysis of relative motion and relative freedom through kinematics connections, the study of finite and instantaneous properties of motion, study of the geometry of single and multi-parameter engineering curves, surfaces and motions. Application in the analysis and design of linkages and mechanisms.

ME 5160 (3 Credits) Theory and Design of Automatic Control Systems
Design features of a closed loop control system. Laplace domain analysis of electromechanical, pneumatic, hydraulic, thermal, and mechanical systems. Computer simulation of dynamic responses using software tools. Stability issues, Routh analysis, root locus, Bode and Nyquist analyses are addressed. An open-ended, hands-on design project from a current research topic is assigned.

ME 5180 (3 Credits) Dynamics
Three-dimensional particle and rigid-body mechanics. Particle kinematics. Newton’s laws, energy and momentum principles. Systems of particles. Rigid body kinematics, coordinate transformations. Rigid body dynamics, Euler’s equations. Gyroscopic motion. Lagrange’s equations.

ME 5190 (3 Credits) Advanced Mechanics of Materials
This course covers the fundamental idealizations used in linear solid mechanics and the fundamental
principles of the subject. Idealizations covered include beams, circular torsion, struts and thick cylinders. Basic principles include the principle of minimum potential energy, the principle of minimum complementary energy, virtual work, equations of static equilibrium and direct and potential methods of solving equilibrium equations. Example applications vary but may include, bounding of elastic properties of
composites, derivation of finite elements, the solution of plate problems by Green’s functions and others.

ME 5311 (3 Credits) Instructor Consent Required, Computational Methods of Viscous Fluid Dynamics
An advanced course on integral and finite-difference methods of solution of the parabolic and elliptic
equations of viscous fluid flow. Method of weighted residuals; Crank-Nicolson; Dufort-Frankel; Peaceman-Rachford alternating direction method; truncation error analysis; stability. Applications to
boundary layer and heat transfer problems. A background of FORTRAN programming and numerical analysis is necessary.

ME 5320 (3 Credits) Flow of Compressible Fluids I
Equations of motion of a compressible fluid. Quasi-one-dimensional flow including effects of friction, heat addition, and normal shocks. Two and three-dimensional flows. Velocity potential and stream function. Small perturbation theory. Subsonic pressure correction formulas. Kelvin and Crocco Theorems. Method of characteristics for steady and unsteady, rotational and irrotational flows. Curved and oblique shock waves. Shock tube theory.

ME 5341 (3 Credits) Radiation Heat Transfer
Fundamentals of radiative emission (black body behavior and Planck’s law), surface properties (emissivity, absorptivity, reflectivity, and transmissivity), electromagnetic theory for prediction of radiative properties, development of the methods of solution for radiant energy interchange between surfaces and in enclosures with and without absorbing, emitting, and scattering media present.
Prerequisite: ME 5507

ME 5420 (3 Credits) Mechanical Vibrations I
Variational principles, Lagrange’s equation. Equations of motion for multi-degree of freedom systems. Free vibration eigenvalue problem: modal analysis. Forced solutions: general solutions, resonance, the effect of damping, and superposition. Vibrations of continuous systems: vibration frequencies and mode shapes for strings, bars, membranes, beams, and plates. Experimental methods and techniques.

ME 5507 (3 Credits) Engineering Analysis I
Matrix algebra, indicial notation and coordinate transformations. Cartesian and general vectors and tensors, vector and tensor calculus. Partial differential equations: Fourier series, solution procedures to boundary value problems in various domains. Application to the mechanics of continuous media.

ME 5511 (3 Credits) Principles of Optimum Design
Engineering modeling and optimization for graduate students in all areas of engineering. Problem formulation, mathematical modeling, constrained and unconstrained optimization, interior and boundary optima constraint interaction, feasibility and boundedness, model reduction, sensitivity analysis, linear programming, geometric programming, nonlinear programming, and numerical methods in optimization.

ME 6130 (3 Credits) Advanced Thermo-Fluids II
Review of governing flow equations, instability and transition, Reynolds averaging and closure approximations, Algebraic turbulence models, Two-equation turbulence models, Large eddy simulations
Turbulence statistics: probability density function and power spectral densities, Energy cascade and intermittency, Turbulent boundary layers including heat transfer, Turbulent free shear flows, Turbulent internal flows (pipes and channels) including heat transfer, Natural convection.

MSE 5301 (3 Credits) Thermodynamics of Materials
Classical thermodynamics with emphasis on solutions and phase equilibria. Applications to unary and multicomponent, reacting and nonreacting, homogeneous and heterogeneous systems, including development of phase diagrams.

MSE 5305 (3 Credits) Phase Transformations in Solids
Thermodynamics, kinetics, and crystallography of phase transformations. Nucleation and growth kinetics. Order-disorder, ferroelectric, and ferromagnetic transformations.

MSE 5308 (3 Credits) Plasticity of Solids
Basic concepts of dislocations and other defects; the relationship between basic deformation, thermal processes, and observable macroscopic properties. Strengthening mechanisms, e.g., solid solution hardening, dispersion hardening, and work hardening.

MSE 5309 (3 Credits) Transport Phenomena in Materials Science and Engineering
Mechanisms and quantitative treatment of mass, energy, and momentum transfer will be discussed in the context of materials science and engineering applications. Increasingly complex and open-ended applications will be used to illustrate principles of fluid flow; heat conduction, radiation, and diffusion.

MSE 5310 (3 Credits) Instructor Consent Required, Modeling Materials
This course is intended to provide an overview of the theory and practices underlying modern electronic
structure materials computations, primarily density functional theory (DFT). Students involved primarily/partially in materials computations, as well as those focused on experimental materials research wishing to learn about DFT techniques will benefit from this course.

MSE 5311 (3 Credits) Mechanical Properties of Materials
Mechanics of deformation and fracture; dislocation theory; strength of ductile and brittle materials;
toughness; strengthening mechanisms; toughening mechanisms; creep mechanisms; fatigue crack initiation and propagation; reliability and lifetime prediction.

MSE 5313 (3 Credits) Theory of the Solid State
Modern theory of metals. Review of quantum theory, elementary wave mechanics, the free electron theory of metals, and the elementary band theory of solids. Crystallography, specific heat, dielectrics, magnetism, electrical conductivity.

MSE 5320 (3 Credits) Investigation of Special Topics
Special courses or individual readings

MSE 5322 (3 Credits) Materials Characterization
A review of the principal experimental methods used to reveal the microstructure and chemistry of materials. Diffraction techniques: x-ray, electron, neutron and proton scattering. Photon probes: photon microscopes, x-ray topography, and XPS. Electron probes: SEM, TEM, EDX, EELS, AES. Atom and ion probes: RBS, SIMS, FIM, PIXE. Scanned probe microscopies.


MSE 5334 (3 Credits) Structure and Defects in Materials
Structure of amorphous and vitreous materials. Crystallography: translation symmetry and lattices, point and space groups, use of the International Tables for Crystallography, examples of simple crystal structures. Defects in materials: point defects, line defects, planar defects, homophase and heterophase interfaces. Distributions of structure and defects: an introduction to microstructure.

MSE 5343 (3 Credits) Corrosion
Mechanisms, characteristics, and types of corrosion. Test methods and evaluation of corrosion resistance. Suitability of metals, ceramics, and organic materials in corrosive environments. Oxidation and other high-temperature gas-metal reactions.

MSE 5364 (3 Credits) Advanced Composites
Mechanical properties, analysis and modeling of composite materials. The properties treated include
stiffness, strength, fracture toughness, fatigue strength and creep resistance as they relate to fiber,
whisker, particulate, and laminated composites.
Components: Lecture