On successful completion of this module, students will be able to:
Establish the properties of the exterior algebra (wedge product) of a finite dimensional real vector space;
Establish the properties of the Hodge star operator for a finite dimensional oriented real vector space with a non-degenerate symmetric scaler product;
Establish the properties of the differential of a differential form;
Prove the Poincare lemma;
Prove Stokes' theorem for a manifold with boundry
Module Content
Integration of forms on surfaces/manifolds, Poincare lemma, general Stokes theorem.
Module Prerequisite
Analysis in several real variables (MA2321)
Assessment Detail
This module will be examined in a 2-hour examination in Trinity term.