## 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