Unit name | Applied Analysis 4 |
---|---|
Unit code | MATHM6203 |
Credit points | 20 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Slastikov |
Open unit status | Not open |
Pre-requisites |
none |
Co-requisites |
none |
School/department | School of Mathematics |
Faculty | Faculty of Science |
This unit introduces and develops some of the main methods of modern analysis (focusing on partial differential equations and calculus of variations) along with some of the main problems in the physical sciences that have been solved using these methods, such as pattern formation in elasticity and micromagnetics, the Allen-Cahn and Fokker-Plank equations, and optimal transportation.
This unit differs from its level 3 counterpart in that the student is expected to (1) understand the methods at a more abstract level and (2) apply them to more difficult problems. (Thus the problems sets and exams will be more challenging.)