2010-2011 UF Graduate Catalog (PDF Format) - Graduate School ...

University of Florida Graduate School
http://test.gradschool.ufl.edu/catalog/current-catalog/FOI/ME01.htm[9/15/2010 4:08:00 PM]
approaches, elastic energy principles, plastic limit theorems, and
creep deformation procedures. Introduction to instability and
fracture mechanics. Design applications.
EGM 5584: Biomechanics of Soft Tissue (3) Prereq: EGN 3353C
and EGM 3520. Introduction to solid and fluid mechanics of
biological systems. Rheological behavior of materials subjected to
static and dynamic loading. Mechanics of cardiovascular, pulmonary,
and renal systems. Mathematical models and analytical techniques
used in biosciences.
EGM 5816: Intermediate Fluid Dynamics (3) Prereq: EGN 3353C
(or CWR 3201), MAP 2302. Basic laws of fluid dynamics.
Introduction to potential flow, viscous flow, boundary layer theory,
and turbulence.
EGM 5933: Special Topics in Engineering Science and
Mechanics (1-4; max: 8)
EGM 6006: Laser-Based Diagnostics (3) Introduction to laserbased
measurement techniques. Emphasizes light scattering, raman
spectroscopy, plasma spectroscopy, and fluorescence, including the
underlying physics and also practical implementations.
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 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. Partial differential equations of first and
second order. Hyperbolic, parabolic, and elliptic equations including
the wave, diffusion, and Laplace equations. Integral and similarity
transforms. Boundary value problems of the Dirichlet and Neumann
type. Green's functions, conformal mapping techniques, and
spherical harmonics. Poisson, 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 functions.
Hilbert-Schmidt theory and the bilinear formula. The calculus of
variations. Geodesics, Euler-Lagrange equation and the
brachistochrone problem. Variational treatment of Sturm-Liouville
problems. Fermat's principle.
EGM 6341: Numerical Methods of Engineering Analysis I (3)
Prereq: EGM 4313 or equivalent. Finite-difference calculus;
interpolation and extrapolation; roots of equations; solution of
algebraic equations; eigenvalue problems; least-squares method;
quadrature formulas; numerical solution of ordinary differential
equations; methods of weighted residuals. Use of digital computer.
EGM 6342: Numerical Methods of Engineering Analysis II (3)
Prereq: EGM 6341 or consent of instructor. Finite-difference