Provides the mathematical tools needed by students to carry out master`s level graduate study in engineering. Topics include: real-variable theory (limits, series, functions of several variables, vector field theory), complex variable theory, linear analysis (systems of linear equations, eigen value problems, Sturm-Louisville theory) and recipes for the numerical solution of any first or second order linear differential equation. The mathematical symbolic-algebraic software system is introduced.

Elastic and plastic deformation of materials; introduction to dislocation theory; failure analysis. Topics include loading in real-life situations, variable loading, failure theories, buckling and instability, fatigue analysis, and fracture mechanics. Case histories are introduced from a variety of industries including automotive, aerospace, utilities, oil and gas, petrochemical and biomedical. Helpful techniques are introduced such as operating stress maps.

The topics covered include: strain-energy methods; special problems in bending and torsion; curved bars; beams on elastic foundations; thick-walled cylinders; shrink fit assemblies and rotating discs; thin-walled pressure vessels; bending of thin plates; limit analysis; buckling of bars and plates.

A balanced approach to probability, statistics, stochastic models, and stochastic differential equations with special emphasis on engineering applications. Random variables, probability distributions, Monte Carlo simulations models, statistical inference theory, design of engineering experiments, reliability and risk assessment, fitting data to probability distributions, ANOVA, stochastic processes, Brownian motion, white noise, random walk, colored noise processes. Differential equations subject to random initial conditions, random forcing functions, and random parameters. Partial differential equations subject to stochastic boundary conditions. New techniques for non-linear differential equations. Computer simulation with MAPLE and other symbolic algebra software.

Introduction to current topics in bioengineering as presented by experts and researchers in the field.

Vector space, basis, projection, null space, function space, L2 and space of continuous functions, Hilbert space, orthogonality, generalized Fourier series, linear transformation, adjoint transformation, eigenvalue problem, linear functional, Gateaux and Frechet differential, constrained optimization, infinite dimensional systems, complex analysis.

This course introduces biological concepts in modern cellular and molecular biology to engineering students. Topics will include the chemical composition of cells, bioenergetics and metabolism, structure and function of the plasma membrane, transport across membranes, the cytoplasmic membrane system, the extracellular matrix, interactions between cells and their environment, the cytoskeleton and cell motility, sensory systems, and cell signaling. In addition, an introduction to basic anatomy and physiology of vertebrates will include the skeletal system, muscle system, cardiovascular system, and nervous system.

This course introduces engineering students to materials as they interact with biological systems, primarily in medicine. Topics will include a review of properties of materials, the classes of materials, tissues that come into contact with materials, the degradation of materials in the biological environment, the application of materials for specific uses, tissue engineering, and biomaterials standards and regulations.

Sets and events, random variables, distribution and density functions, functions of multiple random variables, moments and conditional statistics, information entropy, stochastic processes, wide-sense stationary process, ergodicity, correlation, and power spectrum of stationary processes. Applications to sampling theory and signal modulation and detection.

Motion of rigid bodies in three dimensions; discrete and continuous systems of particles; central force motion and steady mass flow. Other topics include: planetary and rocket motion, Euler's equations, Euler's angles, virtual displacements and work, Fourier series, Langrange's equations, and Hamiltonian theory.

Special study in a particular aspect of Engineering under the direct supervision of a graduate faculty member. Research results are presented in the form of a paper.

Special study in a particular aspect of Engineering under the direct supervision of a graduate faculty member. Research results are presented in the form of a paper.

Provides students with the analytical and numerical tools needed to solve partial differential equations of the type found in engineering practice. Topics include: the UNIX programming environment; the C programming language; separation of variables methods in Cartesian and non-Cartesian coordinate systems; integral transform methods; root finding; integration/differentiation; interpolation of tabulated data; initial-value and boundary-value problems; partial differential equations.

Application and design of experimental techniques and measurement systems used in engineering laboratories. Introduction to the DMM, digital scope, and computer-based data acquisition systems for measurements of force, motion, pressure, temperature, and flow in steady and unsteady systems. Data transmission, data analysis and presentation, and computer interfacing techniques. Statistical methods and uncertainty analysis. Hands-on experience with state-of-the-art instrumentation systems.

Navier-Stoke`s equation, laminar and turbulent flow, boundary layer phenomena, compressible fluid flow including isotropic flow, shock waves, friction flow, and flow with heat transfer.

Introduction to Industrial Engineering. Topics include: quantitative methods, statistics, operations research, engineering economics, production and operations activities, IE management, IE support to production engineer, value analysis and engineering, materials handling and layout, work scheduling, work measurement, production control, statistical quality

Mathematical methods for the dynamic analysis of multi-degreeof freedom, linear and non-linear structures and machines are studied. Computer programming and one of standard math programs are required.

Development and application of computers in today's manufacturing environment. This is an introductory CAD/CAM course teaching basic concepts applied to today's modern technologies. Various topics include: geometric modeling/ tolerancing, process engineering, computer graphics, PLC's, data communication and LAN's, NC and CNC, robotics, group technology, CIM, and concurrent engineering. Students will become familiar with these topics and use modern equipment and software to develop their own projects.

Students present their research results at an open seminar. The seminars may be arranged on a biweekly basis over the semester. Active participation of all graduate students is expected.

Under the guidance of a faculty member, the student will conduct independent research on a selected topic in engineering. The research results will be presented in the form of a paper.

Under the guidance of a faculty member, the student will conduct independent research on a selected topic in engineering. The research results will be presented in the form of a paper.

This course is intended for Ph.D. students who have completed their coursework but who have not yet passed the Ph.D. Preliminary Examination.

This course is intended for Ph.D. students who have passed both the Preliminary and Qualifying Examinations but who have not been elevated to candidacy.

This course is intended only for those students who have achieved Ph.D. Candidacy status. A minimum of 6 semester hours is required for graduation.