School of Mathematics
Module MA2322 - Calculus on manifolds
2011-12 (SF Mathematics, SF Theoretical Physics, JS & SS Two-subject
Moderatorship
)
Lecturer: Prof. David Simms
Requirements/prerequisites:
prerequisite: MA2321
Duration: Hilary term, 11 weeks
Number of lectures per week: 3 lectures including tutorials per week
Assessment:
ECTS credits: 5
End-of-year Examination:
This module will be examined jointly with MA2321
in a 3-hour examination in Trinity term,
except that those taking just one of the
two modules will have a 2 hour examination.
However there will be separate results for MA2321 and MA2322.
Description:
Integration of forms on surfaces/manifolds, Poincaré
lemma, general Stokes theorem.
Learning
Outcomes:
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 scalar product
- establish the properties of the differential of a differential form
- prove the Poincare lemma
- prove Stokes' theorem for a manifold with boundary
Nov 10, 2011
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version 3.89.
On 10 Nov 2011, 18:42.