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General


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.

Semester

Autumn 2016 (Monday, October 3 to Friday, December 9)

Timetable

  • Wed 12:05 - 12:55

Prerequisites

Course in Classical Mechanics, including Euler-Lagrange equations.

Syllabus

Topics covered :
  • Elements of multi-linear algebra, differential geometry and Lie group actions.
  • Euler-PoincarĂ© 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


Cesare Tronci
Email c.tronci@surrey.ac.uk
Phone 01483 68 3356
vcard


Students


Photo of Hussien Abugirda
Hussien Abugirda
(Reading)
Photo of Birzhan Ayanbayev
Birzhan Ayanbayev
(Reading)
Photo of Michael Foskett
Michael Foskett
(Surrey)
Photo of Alexander Owen
Alexander Owen
(Exeter)
Photo of Jake Percival
Jake Percival
(Sheffield)


Bibliography


No bibliography has been specified for this course.

Assessment



The assessment for this course will be via a single take-home paper in January with 2 weeks to complete and submit online.

Fluid closure of guiding-center motion

Files:Exam paper
Released: Monday 9 January 2017 (44.6 days ago)
Deadline: Sunday 22 January 2017 (30.6 days ago)
Instructions:

- Students have two weeks to work through all questions.

- Students are allowed to contact the module conveyor to ask for clarifications.



Files


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Week(s)File


Recorded Lectures


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