| ME 761 | Heat Transmission I | 3 | Advanced study of heat conduction in solids. Analytical, graphical, and numerical evaluations of the temperature field. Use of advanced mathematical methods in the solution of boundary value problems. | Core Course. |
| ME 712 | Advanced Finite Element Analysis | 3 | Application of finite element methods to problems of plasticity, viscoplasticity, fracture, vibrations, fluids, material and geometric non-linearity, and heat transfer. | |
| ME 725 | Advanced Mechanics and Failure of Composites | 3 | Concepts in static, dynamic, impact, and thermal analysis of anisotropic elastic materials. Failure theories, laminated theories, and micromechanics formulations of composites. | |
| ME 731 | Mechanical Behavior of Materials | 3 | Fundamental concepts of elastic, viscoelastic, and plastic deformation of materials; emphasizing atomic and microstructure-mechanical property relationships. Theory of static and dynamic dislocations; fracture, fatigue, and creep as well as strengthening mechanisms in materials. | Core Course. |
| ME 753 | Gas Dynamics | 3 | Fundamental concepts of fluid dynamics and thermodynamics used in the treatment of compressible flow, frictional flows, and flows with heat transfer or energy release. | |
| ME 754 | Boundary Layer Theory | 3 | Fundamental laws of motion of a viscous fluid used in the consideration of laminar boundary layers, transition phenomena, and trubulent boundary layer flows. | |
| ME 755 | Multiscale Fluid Dynamics | 3 | Fundamental principles of fluid dynamics in micro and nano scales and their applications to direct write nanofabrication technologies and fuel cells. | |
| ME 743 | Biomechanics of Impact | 3 | Fundamental sciences of engineering and human anatomy that form the basis of biomechanics of soft tissue and bone under dynamic conditions. | |
| ME 717 | PC Based Measurements and Controls | 3 | Introduction to digital electronics. Discussion of sensors, personal computers, signal conditioning, analog to digital converters, and digital to analog converters; selection of commercial hardware and software. | |
| ME 711 | Advanced Engineering Analysis | 3 | Mathematical analysis and numerical treatment of engineering problems, eigenvalue problems in lumped and distributed parameter systems, advanced mathematics applied to engineering design. | Required Core Course. |
| ME 723 | Experimental Stress Analysis | 3 | Measurement of deformations that are of significance in the engineering design of load resisting members. Use of optical, electrical and mechanical instrumentation; brittle coating and photoelastic techniques. Includes laboratory. | |
| ME 734 | Smart Materials and Structures | 3 | Physics, chemistry, engineering principles and applications of smart materials and structures. | |
| ME 751 | Advanced Thermodynamics | 3 | Rigorous treatment of thermodynamic principles. Emphasis on the concept of availability methods as applied to various engineering systems. | Core Course. |
| ME 722 | Mechanics of Deformable Solids | 3 | Special problems in theories of failure, contact stresses, thick-walled cylinders, thin tubes, curved beams, energy methods. | Core Course. |