EGM 5315

INTERMEDIATE ANALYSIS OF MECHANICAL SYSTEMS

Florida International University, Mechanical and Materials Engineering Department

Spring, 2004

Syllabus

INSTRUCTOR: Wei-Yu Bao, Room: CEAS 3420, Phone: 305.724.1098, Email: baow@fiu.edu

CLASSROOM: EC 3327

SCHEDULE: 17:40 – 18:55 T R

TEXT BOOK: Applied Partial Differential Equations, by Donald W. Trim, ISBN: 0-534-92134-5

Recommended: Partial Differential Equations for Scientists and Engineers, by Stanley J. Farlow,

ISBN: 0-486-67620-X

TENTATIVE LECTURE SCHEDULE:

Week of Contents

Jan. 5 Introduction, ODE Review

Jan. 12 Fourier Series

Jan. 19 Sturm-Liouville Systems

Jan. 26 Fundamentals of Partial Differential Equations and Boundary Conditions

Feb. 2 Separation of Variables, Parabolic-type Homogeneous Problems

Feb. 9 Parabolic-type Non-homogeneous Problems

Feb. 16 Elliptic-type Problems, Hyperbolic-type Problems

Feb. 23 Midterm Exam, Hyperbolic-type Problems

Mar. 1 Characteristics Method, First-Order PDE

Mar. 8 Fourier Transforms, Problem on Infinite Spatial Domain

Mar. 15 Problems in Polar, Cylindrical, and Spherical Coordinates

Mar. 29 Laplace Transforms

Apr. 5 Green’s Functions

Apr 12 Review

GRADING:

Homework 30%

Midterm Exam 30%

Final Exam 40%