58 / FIELDS OF INSTRUCTION and shells. Shell-like structures. Numerical methods. Aerospace applications. EAS 6225-Aerodynamics of Wings and Bodies (3) Prereq: EAS 4106,4112, or equivalent. Classical aerodynamic theory includ- ing thin-wing theory, slender-body theory, and three-dimensional wings in steady flow. EAS 6242-Advanced Structural Composites I (3) Prereq: EGM 3520. Micro- and macro-behavior of a lamina. Stress transfer of short fiber composites. Classical lamination theory, static analysis of laminated plates, free-edge effect, failure modes. EAS 6243-Advanced Structural Composites II (3) Prereq: EAS 6242 orequivalent. Fracture behavior of composites, interlaminar stresses, internal damping in composites. EAS 6415-Guidance and Control of Aerospace Vehicles (3) Prereq: EAS 4412 or equivalent. Application of modern control theory to aerospace vehicles. Parameter identification methods applied to aircraft and missiles. EAS 6905-Aerospace Research (1-6; max: 12 including EGM 5905 and 6905) EAS 6910-Supervised Research (1-5; max: 5) S/U. EAS 6935-Graduate Seminar (1; max: 6) S/U option. EAS 6939-Special Topics in Aerospace Engineering (1-6; max: 12) Laboratory, lectures, or conferences covering selected topics in space engineering. EAS 6940-Supervised Teaching (1-5; max: 5) S/U. EAS 6971-Research for Master's Thesis (1-15) S/U. EAS 6972-Research for Engineer's Thesis (1-15) S/U. EAS 7979-Advanced Research (1-9) Research for doctoral stu- dents before admission to candidacy. Designed for students with a master's degree in the field of study or for students who have been accepted for a doctoral program. Not open to students who have been admitted to candidacy. S/U. EAS 7980-Research for Doctoral Dissertation (1-15) S/U. EGM 5005-Laser Principles and Applications (3) Prereq: con- sentofinstructor. Operating principles of solid, electric discharge, gas dynamic and chemical lasers. Applications of lasers of lidar aerodynamic and structural testing and for cutting and welding of materials. EGM 5111L-Experimental Stress Analysis (3) Prereq: EGM 3520. Introduction to techniques of experimental stress analysis in static systems. Lecture and laboratory include applications of electrical resistance strain gauges, photoelasticity, brittle coat- ings, moire fringe analysis, and X-ray stress analysis. EGM 5121C-Experimental Deduction (4) Prereq: consent of instructor. Fundamentals of dynamics and fluid mechanics. De- signed to confront the student with the unexpected. EGM 5421-Modern Techniques of Structural Dynamics (3) Prereq: EGM 3400 or3420; 3311, 3520, and COP 3212. Modern methods of elastomechanics and high speed computation. Matrix methods of structural analysis for multi-degree-of-freedom sys- tems. Modeling of aeronautical, civil, and mechanical structural engineering systems. EGM 5435-Intermediate Dynamics (3) Prereq: EGM 3400 or 3420, andEGM 3311. Dynamics of a particle, orbital mechanics, mechanics in non-inertial frames, dynamics of a system of par- ticles, rigid body dynamics in plane motion, moments and prod- ucts of inertia, conservation laws, Lagrange's equations of motion. EGM 5533-Advanced Mechanics of Solids and Structures (3) Prereq: EGM 3520. Bars, beams, thin-walled structures, and simple continue in the elastic and inelastic range. Virtual work approaches, elastic energy principles, plastic limit theorems, creep deformation procedures, introduction to instability and fracture mechanics. Design applications. EGM 5584-Principles of Mechanics in Biomedical Engineering (3) Prereq: EGN 3353 and EGM 3520. Introduction to the solid and fluid mechanics of biological systems. Rheological behavior of materials subjected to static and dynamic loading. Mechanics of the cardiovascular, pulmonary, and renal systems. Mathematic models and analytical.techniques used in the biosciences. EGM 5816-Intermediate Fluid Dynamics (4) Prereq:EGN 3353, MAP3302. Basic laws of fluid dynamics, introduction to potential flow, viscous flow, boundary layer theory, and turbulence. EGM 5905-Individual Study (1-6; max: 12 including EGM 6905 and EAS 6905) EGM 5933-Special Topics in Engineering Science and Mechan- ics (1-4; max: 8) EGM 6215-Theory of Structural Vibrations (3) Prereq: EGM 4200. Multiple degree-of-freedom systems, lumped parameter procedures; matrix methods; free and forced motion. Normal mode analysis for continuous systems. Lagrange equations. Nu- merical methods. EGM 6321-Principles of Engineering Analysis I (3) Prereq: EGM 4313 or MAP 4305. Solution of linear and nonlinear ordinary differential equations. Methods of Frobenius, classification of singularities. Integral representation of solutions. Treatment of the Bessel, Hermite, Legendre, hypergeometric, and Mathieu equa- tions. Asymptotic methods including the WBK and saddle point techniques. Treatmentof nonlinear autonomous equations. Phase plane trajectories and limit cycles. Thomas-Fermi, Emden, and van der Pol equations. EGM 6322-Principles of Engineering Analysis II (3) Prereq: EGM 4313 orMAP 4341. Partial differential equations of first and second order. Hyperbolic, parabolic, and elliptic equations in- cluding the wave, diffusion, and Laplace equations. Integral and similarity transforms. Boundary value problems of the Dirichlet and Neumann type. Green's functions, conformal mapping tech- niques, and spherical harmonics. Poison, Helmholtz, and Schroedinger equations. EGM 6323-Principles of Engineering Analysis III (3) Prereq: EGM 4313 or MAP 4341. Integral equations of Volterra and Fredholm. Inversion of self-adjoint operators via Green's func- tions. H ilbert-Schmidt theory and the bilinear formula. The calcu- lus of variations. Geodesics, Euler-Lagrange equation and the brachistochrone problem. Variational treatmentof Sturm-Liouville problems. Fermat's principle. EGM 6341-Numerical Methods of Engineering Analysis I (3) Prereq: EGM 4313 orequivalent. Finite-difference calculus; inter- polation and extrapolation; roots of equations; solution of alge- braic equations; eigenvalue problems; least-squares method; quadrature formulas; numerical solution of ordinary differential equations; methods of weighted residuals. Use of digital com- puter. EGM 6342-Numerical Methods of Engineering Analysis II (3) Prereq: EGM 6341 or consent of instructor. Finite-difference methods for parabolic, elliptic, and hyperbolic partial differential equations. Application to heat conduction, solid and fluid me- chanics problems. EGM 6351-Finite Element Methods (3) Prereq: consent of instructor. Displacement method formulation; generalization by means of variational principles and methods of weighted residu- als; element shape functions. Application to heat conduction, solid and fluid mechanics problems. Use of general purpose computer codes. EGM 6444-Advanced Dynamics (3) Prereq: EGM 5435. The principle of least action, conservation laws, integration of the equations of motion, collision, free and forced linear and nonlin- ear oscillations, rigid body motion, the spinning top, motion in non-inertial frames, canonical equations. EGM 6551-Thermal Stress Analysis (3) Prereq: EML 4142, EGM 5533 orequivalents. Coupled and uncoupled thermoelastictheory. Static and quasi-stationary plan problems, dynamic effects, ther- mal stresses in structures, thermoelastic stability, inelastic thermal response. EGM 6576-Principles of Fracture Mechanics (3) Prereq: EGM 6611. Introduction to mechanics of fracture of brittle and ductile materials. Linear elastic facture mechanics; elastic-plastic frac- ture; fracture testing; numerical methods; composite materials; creep and fatigue fracture. EGM 6611-Continuum Mechanics I (3) Prereq: EGM 3520. Tensors of stress and deformation. Balance and conservation