HELM Modules
The Department of Mathematics has produced "HELM" self-study modules on topics relevant to PHYS20672:
- Functions of a Complex Variable:
- Complex Functions
- Cauchy-Riemann Equations and Conformal Mapping
- Standard Complex Functions
- Basic Complex Integration
- Cauchy's Theorem
- Singularities and Residues
- Laplace Transforms:
- Causal functions
- The transform and its inverse
- Further Laplace transforms
- Solving differential equations
- The convolution theorem
- Transfer functions
- Fourier Transforms:
- The Fourier Transform
- Properties of the Fourier Transform
- Some Special Fourier Transform Pairs