Virginia Tech Math Course HomePage

Math 4564: Operational Methods

(Ind: 94021)

Instructor: David Y. Gao
Office: McBryde 524 (Phone: 1-2768)
Office Hours: MWF 2:15-3:15pm 
Place: McBryde Hall 126 Time 1:25-2:15pm,  MWF 


Text:  Elementary Differential Equations and Boundary Value Problems
By W.E. Boyce and R.C. DiPrima John Wiley & Sons, Inc.,  2005, 8th Ed. 

Course Content:

  • Laplace Transforms and Initial Value Problems
  • Partial Differential Equations
  • Fourier Series and Nonhomogeneous Problems
  • Boundary Value Problems
  • Numerical Methods

Prerequisites and Corequisites:
Knowledge of senior-level mathematics, including differential and integral calculus, ordinary and partial differential equations, and basic vector analysis. Students will be expected to either possess or concurrently develop a facility with one of the existing mathematical software packages (such as Mathematica or Matlab).

Educational Objectives:

The objective of this course offering is to discuss analytic methods for solving initial and boundary value problems by Laplace transforms, and Fourier series, along with basic ideas of numerical methods. The emphasis is on understanding and applying not proving.

Exams:

There will be two 60-minute tests and one final exam. No make-up exams will be given for the in-class tests.
Homework and Projects

You may collaborate with other students in this class to get ideas on homework, but you must always do your own write-up in your own words. On homework assignments, both the content and clear, complete, accurate presentation of answers will count towards the score.
No late homework will be accepted, except by prior agreement.

Grading:

In-class tests: 25% each.
Final Exam: 30%. Homework and Project: 20%

General:

I reserve the option of modifying these policies where appropriate as the course develops.

Web pages:
http://www.math.vt.edu/people/gao/class_home/ 4564_94021.html
IMPORTANT:
If you are not on the class roll that comes out after the last add date, immediately check your schedule at a terminal and start attending the proper section. For no foreseeable reason (computer and registrar personnel mistakes included) will you be allowed to stay in the wrong section or to drop a section for which you are actually enrolled after the last drop date. By simply attending a section you will not be placed on its roll.