Unit name | Differentiable Manifolds |
---|---|
Unit code | MATH32900 |
Credit points | 20 |
Level of study | H/6 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Professor. Robbins |
Open unit status | Not open |
Pre-requisites | |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
This subject lies in the overlap between pure and applied mathematics; it is related to topology on the one hand, and differential equations and vector calculus on the other hand. The unit will discuss the main concepts and theorems of the subject, and the techniques which it provides for calculations in applied mathematics and mathematical physics. The unit will provide useful background for level 4 units in General Relativity, Algebraic Topology, and units under consideration for introduction in the future on Dynamical Systems and Lie Groups. It will include both conceptual results and methods of calculation, so there is material to suit students interested in pur mathematics and also those interested in mathematical techniques.