Mechanical Engineering - ME
Quasi-linear and non-linear first-order equations, calculus of variations, linear second order equations and their classification, self-adjoint operators, Sturm Liouville problems and eigenfunction expansions, fundamental solutions and Green's functions, distributions, boundary and initial value problem for potential, wave and heat equations, integral transforms and asymptotic expansions. Prerequisite: MATH 251 and 225
Theory of conduction and radiation. Anisotropic conduction and bi-directional radiation properties and experiments. General conduction and radiation governing equations. Integration, finite difference and finite element techniques. Combined conduction and radiation. Engineering applications. Prerequisite: ENME 315, ENME 321 and ENME 700.
A broad study of fundamental principles of fluid mechanics, including potential flow, viscous flow, compressible flow and convection.
Explores the use of numerical methods for solving heat transfer and fluid flow problems, their properties and solution techniques for conduction, and free and forced convection problems.
A student who completes the four courses listed above will receive the Post Baccalauerate Certificate in Computational Thermal Fluid Dynamics
Fourier and statistical analysis; transient, steady-state and random behavior of linear, lumped-mass systems. Normal-mode theory, shock spectrum concepts, mechanical impedance and mobility methods. Vibrations of continuous media, including rods, beams and membranes.
The algebra and calculus of tensor in Riemannian space are developed with special emphasis on those aspects that are most relevant to mechanics. The geometry of curves and surfaces in E-3 is examined. The concepts are applied to derive of the field equations for the nonlinear theory of continuous media and to various problems arising in classical dynamics.
ENME 670: Continuum Mechanics 
The algebra and calculus of tensor in Riemannian space are developed with special emphasis on those aspects that are most relevant to mechanics. The geometry of curves and surfaces in E-3 is examined. The concepts are applied to derive of the field equations for the non-linear theory of continuous media and to various problems arising in classical dynamics.
Analysis of stress and strain, equilibrium and compatibility conditions, plane stress and plane strain problems, torsion and flexure of bars, general three-dimensional analysis, energy methods, thermal stresses and wave propagation.
Special Topics in Mechanical Engineering
Topics vary with semester and may be taken repeatedly, as topics vary. Example topics are biofluid mechanics, soft-tissue mechanics, biomaterials, composites, mechatronics and electro-mechanical design.
- Macromechanics Of Composites 
- Elastic-Plastic Wave Propagation 
- Advanced Ceramics 
- Intro/Material Processes/MEMS 
- Finite Element Analysis Design