MAGIC080: Geometric Mechanics

Course details

Semester

Spring 2018
Monday, January 22nd to Friday, March 16th; Monday, April 23rd to Friday, May 4th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Wednesdays
09:05 - 09:55

Description

The course aims to extend students' knowledge of mechanics by considering systems with symmetry and their conservation laws and allow students to develop intuition on the role of symmetry in mechanical systems.

Prerequisites

Course in Classical Mechanics, including Euler-Lagrange equations.

Syllabus

Topics covered :
  • Elements of multi-linear algebra, differential geometry and Lie group actions.
  • Euler-Poincar√ɬ© variational principles (with and without symmetry breaking)
  • One of the applications: rigid bodies, heavy tops, liquid crystal molecules, magnetic fields.
Selected texts:
  • D.D. Holm, Geometric Mechanics, Parts I & II, Imperial College Press (2011)
  • D.D. Holm, T. Schmah, C. Stoica, Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions, Oxford University Press (2009)

Lecturer

  • CT

    Dr Cesare Tronci

    University
    University of Surrey

Bibliography

No bibliography has been specified for this course.

Assessment

The assessment for this course will be released on Monday 7th May 2018 and is due in by Sunday 20th May 2018 at 23:59.

The assessment is based on a take-home paper and students will be given two weeks time before submission.

Please note that you are not registered for assessment on this course.

Files

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Lectures

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