Unit information: Differentiable Manifolds in 2010/11

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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

MATH20100 and either MATH20900 or MATH20200

Co-requisites

None

School/department School of Mathematics
Faculty Faculty of Science

Description including Unit Aims

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.