ENGINEERING SCIENCES / 81


Engineering Analysis III; EGM--6324-Principles of Engi-
neering Analysis IV; tGM 6811-Fundamentals of Fluid Dy-
namics; EGM 6812-Inviscid Fluid Flow; EGM 6813-Viscous
Fluid Flow; EGM 6835--Boundary Layer Theory; EGM 6845-
Turbulent Fluid Flow.
EAS 6135-The Dynamics of Real Gases I (3) Prereq: consent
of instructor, Introductory kinetic theory, the perfect gas
law, transport phenomena, absorption and dispersion of ul-
trasonic waves, relaxation phenomena. Rarefied flow. Radi-
ation gas-dynamics.
EAS 6136-The Dynamics of Real Gases II (3) Prereq: consent
of instructor. Effects of viscosity, thermal diffusivity, dif-
fusion of species, and chemical reactions in nozzle and
boundary layer flows.
EAS 6138-Gasdynamics (3) Prereq: EAS 4112, 4112L. Theory
of sound waves, subsonic and supersonic flows,
shockwaves, explosions and implosions.
EAS 6141-Advanced Plasma Theory (3) Kinetic theory of
plasmas based on the equations of Vlasov, Boltzmann and
Lenard-Balescu. Applications to electromagnetic waves and
transport properties, in plasmas, and diode and gas discharge
theory.
EAS 6221-Advanced Aerospace Structures (3) Prereq: EAS
4200, 4210 or equivalent. Introduction to wing and fuselage
stress analysis. Diagonal semi-tension field design. Sandwich
construction and design. Fatigue analysis, fail-safe design.
EAS 6225-Aerodynamics of Wings and Bodies (3) Prereq:
EAS 4106, 4112, or equivalent. Classical aerodynamic theory
including thin-wing theory, slender-body theory, and three-
dimensional wings in steady flow.
EAS 6242-Advanced Structural Composites I (3) Prereq:
EAS 4240 or equivalent. Micro- and macro-behavior of lami-
na. Macro-behavior of laminates. Static analysis of laminated
structures. Fracture and fatigue of composites.
EAS 6243-Advanced Structural Composites II (3) Prereq:
EAS 6242 or equivalent. Mechanics of continuous and
chopped fiber composite structures subject to dynamic
loads. Wave propagation and impact in laminated com-
posites. Effects of moisture absorption and damage on com-
posite properties.
EAS 6415-Guidance and Control of Aerospace Vehicles (3)
Prereq: EAS 4412 or equivalent. Application of modern con-
trol theory to aerospace vehicles. Parameter identification
methods applied to aircraft and missiles.
EAS 6720-Advanced Aerospace Design (1-6; max: 12)
EAS 6905-Aerospace Research (1-6; max: 12)
EAS 6910-Supervised Research (1-5; max: 5) S/U.
EAS 6935--Graduate Seminar (1; max: 6) S/U.
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 7979-Advanced Research (1-9) Research for doctoral
students before admission to candidacy. Designed for stu-
dents with a master's degree in the field of study or for stu-
dents 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.
Engineering Science and Mechanics
 The following Engineering Common Courses are available
for graduate major credit: ENU 6730-Introduction to
Plasmas; ENU 6731-Plasma Theory; ENU 6741L-Plasma
Laboratory; EGM 5816-Intermediate Fluid Dynamics.
EGM 5005-Laser Principles and Applications (3) Prereq:
consent of instructor. Operating principles of solid, electric
discharge, gas dynamic and chemical lasers. Applications of
lasers to lidar, aerodynamic and structural testing and for
cutting and welding of materials.
EGM 5111 L-Experimental Stress Analysis (3) Prereq: EGM
3520. Introduction to techniques of experimental stress anal-
ysis in static systems. Lecture and laboratory include applica-
tions of electrical resistance strain gauges, photoelasticity,
brittle coatings, moire fringe analysis, and x-ray stress analy-
sis.
EGM 5421-Modern Techniques of Structural Dynamics I(3)
Prereq: EGM 3400 or 3420, EGM 3311, 3520 and COP 3212.


Modern methods of elastomechanics applied to systematic
analysis and automatic computation. Finite difference tech-
niques, matrix force and displacement methods, finite ele-
ment modeling. Application of digital computers.
EGM 5430-Intermediate Dynamics (3) Prereq: EGM 3400 or
3420, and EGM 3311. Motion of particles and rigid bodies un-.
der constant and variable force fields. Introduction to Ham-
ilton and Lagrange equations.
EGM 5533-Advanced Mechanics of Solids and Structures
(3) Prereq: EGM 3520. Analysis of stress and strain in de-
formable bodies. Elastic stress-strain relations. Theories of
failure. Shear center. Unsymmetrical bending of beams.
Curved beams. Beams on elastic foundations. Torsion of
bars. Energy methods.
EGM 5550-Elevated Temperature Stress Analysis (3) Prereq:
EML 4140, EGM 3520. Sources of heat and heat transfer. Tran-
sient temperatures and stresses in tubes, rings, shafts, beams,
and built-up structures. Elementary problems of plates and
shells. Material properties at elevated temperatures. Design
procedures for elevated temperatures.
EGM 5905-Individual Study (1-6; max: 6) Prereq: EGM 3400
or 3420 and MAC 3313. Individual research projects in solid
and fluid mechanics at an advanced undergraduate and be-
ginning graduate level.
EGM 6215-Theory of Structural Vibrations I (3) Prereq:
EGM 4200. Lagrange's equations. Multiple degree of free-
dom systems. Free and forced motions. Normal coordinates.
Effect of damping. Use of matrix methods, computers,
Rayleigh-Ritz and other approximation techniques.
EGM 6225-Theory of Structural Vibrations II (3) Prereq:
EGM 6215. Longitudinal and torsional vibrations of bars, lat-
eral vibrations of bars, membranes and plates. Normal
mode, lumped parameter, and transformation methods.
Transmission and reflection of stress waves in isotropic
elastic media.
EGM 6235-Nonlinear Vibrations (3) Prereq: EGM 4200 or
6215. Phase plane and singular point methods. Limit cycles.
Method of averaging. Application to one degree of freedom
autonomous and nonautonomous systems. Nonlinear reso-
nance. Stability of solutions. Parametrically excited systems.
Method of perturbations.
EGM 6245-Random Vibrations (3) Prereq: EGM 6215.
Statistical analysis, response of discrete single and multiple
degree of freedom dynamical systems to stationary random
forces and parametric excitation. Extension to continuous
systems and nonstationary excitation. Applications to engi-
neering problems.
EGM 6250-Theoretical Acoustics (3) Prereq: basic course in
vibrations and some background with partial differential
equations. Fundamentals of wave phenomena in vibrating
solid and fluid media. Analytical methods of attacking
acoustical problems.
EGM 6321-Principles of Engineering Analysis I (3) Prereq:
EGM 4313 or MAP 4305. Solution of linear and nonlinear or-
dinary differential equations. Method of Frobenius, classifi-
cation of singularities. Integral representation of solutions.
Treatment of the Bessel, Hermite, Legendre, hypergeometric
and Mathieu equations. Asymptotic methods including the
WBK and saddle point techniques. Treatment of 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 or MAP 4341. General analytic methods for solv-
ing partial differential equations of first and second order.
Treatment of elliptic, parabolic and hyperbolic equations in-
cluding reduction to canonical form. Detailed discussion of
the equations of wave propagation, heat conduction and
potential theory. Application of similarity transforms for re-
duction to ordinary differential equations. Solution of cer-
tain nonlinear partial differential equations arising in hydro-
dynamics via use of perturbation expansions.
EGM 6323-Principles of Engineering Analysis III (3) Prereq:
EGM 6322 or equivalent. Dirichlet and Neumann boundary
value problems. Green's function for Laplace's equation in
two and three dimensions. Conformal mapping techniques
and spherical harmonics. Treatment of the Helmholtz,
Poisson, and Schroedinger equations. Use of integral trans-,
form techniques to solve certain equations arising in applied
physics, hydrodynamics, and electromagnetic theory.