Classical Mathematical Methods in Engineering

Department: 
MATH
Course Number: 
4581
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every semester

Fourier series, Fourier integrals, boundary value problems for partial differential equations, eigenvalue problems

Prerequisites: 

MATH 2403 or MATH 2413 or MATH 24X3 or MATH 2552 or MATH 2562 or or MATH 2X52

Course Text: 

At the level of Boundary Value Problems and Partial Differential Equations, 6th Edition, David L. Powers

Topic Outline: 
  • Fourier series
  • Fourier integrals
  • Boundary value problems of PDEs
  • Separation of variables
  • Eigenvalue problems, Eigenfunctions
  • Heat equation (temperature)
  • Wave equation (vibrating string)
  • Potential equation
  • 2-D & 3-D problems
  • Laplace transform and its applications to PDEs