Module overview
Linked modules
Pre-requisite: MATH2038
Aims and Objectives
Learning Outcomes
Learning Outcomes
Having successfully completed this module you will be able to:
- Understand the existence of weak solutions and shocks.
- Understand the concept of well-posedness.
- Show logical thinking in problem solving.
- Understand the concept of the symbol of a PDE and the resulting classification of PDEs.
- Solve linear ODEs and PDEs with the use of the Green's function method.
- Understand similarity solutions and their applications.
- Demonstrate knowledge and understanding partial differential equations and how they relate to different modelling situations
Syllabus
Learning and Teaching
Teaching and learning methods
Type | Hours |
---|---|
Tutorial | 12 |
Independent ÃÛÌÒTV | 102 |
Lecture | 36 |
Total study time | 150 |
Resources & Reading list
General Resources
Lecture notes. The module is based on summary lecture notes which are provided. There is no recommended book, but some suggestions are contained in an information sheet handed out at the start of the module and available on blackboard.
Textbooks
LEVEQUE R.. Numerical Methods for Conservations Laws.
STRAUSS W.. Partial differential equations.
OCKENDON J, HOWISON S, LACEY A & MOVCHAN A. Applied Partial Differential Equations.
HOWISON S.. Practical Applied Mathematics.
Assessment
Summative
This is how we’ll formally assess what you have learned in this module.
Method | Percentage contribution |
---|---|
Coursework | 40% |
Examination | 60% |
Referral
This is how we’ll assess you if you don’t meet the criteria to pass this module.
Method | Percentage contribution |
---|---|
Examination | 100% |
Repeat
An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.
Method | Percentage contribution |
---|---|
Examination | 100% |
Repeat Information
Repeat type: Internal & External