PENG9570 Applied Mathematical Modelling and Analysis
Welcome to the PENG9570 course archive. This page collects the class slide conversions, exam-prep course summary, final NeuroFEM project report draft, and the deployed project presentation.
Quick Links
- Launch the NeuroFEM Marp presentation
- Presentation landing page
- Course summary and exam prep
- Final report draft
- Lecture notes
Lecture Notes
| Week | Date | Topic | Converted notes |
|---|---|---|---|
| 9 | 24/2 | Mathematical modelling; analysis of ODE models | Lecture 1 |
| 9 | 25/2 | Phase line plots | Lecture 2 |
| 9 | 26/2 | ODE systems; phase plane analysis | Lecture 3 |
| 9 | 27/2 | Phase plane analysis; numerical solution of ODEs | Lecture 4 |
| 10 | 3/3 | Introduction to PDEs; numerical methods for PDEs | Lecture 5 |
| 11 | 11/3 | Numerical methods for PDEs | Lecture 6 |
| 11 | 12/3 | Quantum physics | Lecture 7 |
| 11 | 13/3 | Existence and uniqueness theorems for IVPs and IBVPs | Lecture 8 |
Final Report Draft
- 01 Introduction and Background
- 02 Mathematical Methods
- 03 Computational Methods
- 04 Results and Discussion
- 05 Conclusion
- 06 References
- 07 Appendix
Course Context
The course consists of a general module on modelling principles, model analysis, and numerical methods for model equations, followed by specialized project work. The project report and oral presentation apply as much of the syllabus as possible to a selected modelling problem.