Syllabus
Our broad topics shall be:
- Introduction to Partial Differential Equations (PDEs)
- Two fundamental equations:
- The Wave Equation
- The Diffusion Equation (also known as the Heat Equation)
- Boundary Value Problems
- Fourier Series
- A third fundamental equation:
- Laplace's Equation
The above is the examinable material. Time permitting, we will cover
additional topics of interest (which will not feature in the exam),
such as
- More equations coming from physics
- Wave phenomena and variants of the wave equation
- Nonlinear PDEs