| Unit name | Theory of Partial Differential Equations 4 |
|---|---|
| Unit code | MATHM6000 |
| Credit points | 20 |
| Level of study | M/7 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Dr. McGillivray |
| Open unit status | Not open |
| Pre-requisites |
Calculus 2, Analysis 2, Mearuse Theory and Functional Analysis. Applied Partial Differential Equations may be useful by not essential. co-requiste None |
| Co-requisites | |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
Partial Differential Equations (PDE's) play a central role both in pure and applied mathematics. They arise in mathematical models in mechanics, physics, natural sciences, finances. Due to the universality of PDE's the areas of applications constantly expand (a recent example is image processing) and the importance of this branch of mathematics constantly grows. The course will introduce main types of partial differential equations and develop the theory of solvability and properties of solutions. The rigorous approach to PDE's will show the relevance of abstract methods of Analysis in studying problems arising in applied mathematics. The course will also provide short introductions to beautiful mathematical theories of harmonic functions and Sobolev spaces.
