|
Scientific Subject |
Week |
| Series (geometric series, harmonic series, convergence test, comparison test, Cauchy test, Cauchy’s and d’ Alembert’s test of convergence, Maclaurin integral test, Kramer test, Gauss’s test, absolute convergence, function series, Taylor series, exponent series) |
3-1 |
|
Multiple integrals. |
5-4 |
|
First Exam |
5 |
|
Solving partial differential equations and applying boundary conditions, the basic concept of linear quadratic partial differential equations, solving by the method of separating variables (solving the wave equation in one dimension, solving the thermal flow equation in one dimension. |
8-6 |
|
Bessel equation, Solving the Laplace equation in the spherical system, |
10-9 |
|
Second Exam |
10 |
|
The Legendre-Bissell spherical equation (e.g. a charged metal ball),. |
11 |
|
Integrative transformations (definition of Laplace transform, applications of Laplace transform in solving differential equations. |
13-12 |
|
Define the Fourier transform and apply it to the wave equation. |
14 |
|
Final Exam |
15 |
References
|
Title |
Publisher |
Edition |
Author |
Place |
|
Course notes |
|
|
Course professor |
|
|
Mathematical Methods for Physicists |
Cambridge |
2000 |
Tai L. Chow |
Internet |