Courses Taken In Graduate School

MATHEMATICS (MATH)

601. Higher Mathematics for Engineers and Physicists. (4-0) Credit 4…………………….…...B

Methods of linear algebra, vector analysis and complex variables.

602. Higher Mathematics for Engineers and Physicists. (4-0) Credit 4……..…………………..B

Classification of linear partial differential equations of the second order. Fourier series, orthogonal functions, applications to partial differential equations. Special functions, Sturm--Liouville theory, application to boundary value problems. Introduction to Green's functions, finite Fourier integrals.

610. Numerical Methods in Partial Differential Equations. (3-3) Credit 4…..………………….B

Introduction to finite difference and finite element methods for solving partial differential equations. Stability and convergence of methods and error bounds.

MECHANICS AND MATERIALS (MEMA)

467. Matrix Analysis of Structures. (3-0) Credit 3...................………………………………….….B

Theory of matrix algebra and solution of linear algebraic equations; basic energy principles and virtual work; finite element static analysis of frame structures using the direct stiffness method. Computer applications.

601. Theory of Elasticity. (3-0) Credit 3.............................…………………………………………B

Analysis of stress and strain in two and three dimensions, equilibrium and compatibility equations, strain energy methods, torsion of noncircular sections, flexure, axially symmetric problems.

605. Energy Methods. (3-0) Credit 3..............................…………...……………………………….C

Principle of virtual work, Rayleigh-Ritz method, Galerkin method, minimum potential energy principles, variational principles, Reissner's Variational Theorem. Applications to linear and nonlinear problems in mechanics.

611. Fundamentals of Engineering Fracture Mechanics. (3-0) Credit 3………………………...B

Understanding of the failure of structures containing cracks with emphasis on mechanics; linear elastic fracture mechanics, complex potentials of Muskhelishvili and Westergaard, J-integral, energy release rate, R-curve analysis, crack opening displacement, plane strain fracture toughness testing, fatigue crack propagation, fracture criteria, fracture of composite materials.

613. Principles of Composite Materials. (3-0) Credit 3.............…………………………….……...A

Atomic, molecular, micro/macrostructure with respect to physical and mechanical properties of composite materials. Plastic, metallic and ceramic matrices reinforced with continuous and discontinuous fibers, whiskers, and particulates. Mechanical and chemical interactions, failure modes, interface, fabrication techniques and structural design concepts.

633. Theory of Plates and Shells. (3-0) Credit 3..........…………..………….………………….......A

Small--deflection thin plate theory for plates of various shapes and support conditions, bending of anisotropic plates. Plates under combined lateral loads and in plane forces. Large deflection thin plate theory, theory of shells, stability of plates and shells.