PHY226

Mathematical Methods for Physics and Astronomy

Unit 3: Partial differential equations, 3D coordinate systems, spherical harmonics

Dr Vitaly Kudryavtsev

Department of Physics and Astronomy

University of Sheffield

Dr Vitaly Kudryavtsev: F9b, tel: 0114 2224531; e-mail: v.kudryavtsev@sheffield.ac.uk

Outline:

1. Introduction to partial differential equations.

2. Wave equation.

3. Schrödinger equation.

4. 2D Laplace equation.

5. Diffusion equation.

6. Three-dimensional coordinate systems.

7. Spherical harmonics.

Lecture notes.

Lecture slides:

Lecture 15 - Introduction to PDE, Wave equation; 22/11/2010, 25/11/2010.