Course 2341/2342

Advanced Mechanics

Dr. Sergey Frolov

Office: 3.4 Hamilton Building
Phone:  01 896 4027
Office Hours: email for appointment
E-mail:
frolovs@maths.tcd.ie



Tutors / Graders
Odd Numbered Homework Sets are graded by:
Stephen Britton, brittons@tcd.ie


and
Even Numbered Homework Sets are graded by
:
Eoin Quinn, epquinn@gmail.com

 




Class Meeting

  Tutorials:
  Friday
 11:00-11:50
  Joly Theatre, Hamilton Building

  Lectures:

  Monday

 10:00-10:50

  Salmon Theatre, Hamilton Building

 

  Tuesday

 15:00-15:50

  Maxwell Theatre, Hamilton Building


  Wednesday   11:00-11:50
   East End Building Lecture Theatres 2

 


Course Description

First part is devoted to Lagrangian mechanics

Second part is devoted to Hamiltonian mechanics, and introduces special theory of relativity and classical mechanics of continuous systems and fields


Books

Classical Mechanics:

Required: L.D. Landau and E.M. Lifshitz, "Mechanics,"  Butterworth-Heinemann

Recommended:

  1. Herbert Goldstein, "Classical Mechanics," third edition,  Addison Wesley
  2. V.I. Arnold, "Mathematical Methods of Classical Mechanics,"  Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Relativity:

    L. D. Landau and  E. M. Lifshitz, "The Classical Theory of Fields" : Volume 2 (Course of Theoretical Physics Series),    
    Butterworth-Heinemann;



For Your Enjoyment (Intuitive and Beautiful Text):
  
  Richard Feynman, "Feynman Lectures on Physics," Addison Wesley Longman (June 1970)

For your revision: I highly recommend the Calculus Textbook by Gilbert Strang that is available online.

Lie Groups and AlgebrasIntroduction to Lie group and
a list with books on Lie algebras and groups



Exams 

  1. End of year Final exam: 3 hours

Grading

              Homework, Part I

10%

              Final Exam, Part I

90%


              Homework, Part II             
   10%
              Final Exam, Part II    90%

        

 

Homework

Problems will be given on every week and are due at the BEGINNING of the class on Tuesday the following week.
Students can collaborate on their homework, however, each student should hand in her or his own copy of solutions.

 

Problem Sets:

 

  First Problem Set in PDF  format (due Tuesday,  4 October 2012)
  Solutions to problems from PS1

  Second Problem Set in PDF  format (due
Tuesday,  11 October 2012)
  Solutions to problems from PS2

  Third Problem Set in PDF  format (due
Tuesday,  18 October 2012)
  Solutions to problems from PS3

  Fourth Problem Set in PDF format (due
Tuesday, 25 October 2012)
  Solutions to problems from PS4

  Fifth Problem Set in PDF  format (due
Tuesday,  1 November 2012)
  Solutions to problems from PS5

  Sixth Problem Set in PDF  format (due
Tuesday,  15 November 2012)
  Solutions to problems from PS6

  Seventh Problem Set in PDF  format (due
Tuesday22 November 2012)
  Solutions to problems from PS7

  Eighth Problem Set in PDF  format (due Tuesday29 November 2012)
  Solutions to problems from PS8

  Nineth Problem Set in PDF  format (due Tuesday,  6 December 2011)
  Solutions to problems from PS9


____________________________________________________________________

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  Tenth Problem Set in PDF  format (due
Tuesday,  22 January 2013)
  Solutions to problems from PS10

  Eleventh Problem Set in PDF format (due
Tuesday29 January 2013)
  Solutions to problems from PS11

  Twelveth Problem Set in PDF  format (due
Tuesday,  5  February 2013)
  Solutions to problems from PS12

  Thirteenth Problem Set in PDF  format (due
Tuesday,  12  February 2013)
  Solutions to problems from PS13

  Fourteenth Problem Set in PDF  format (due
Tuesday,  19 February 2013)
  Solutions to problems from PS14

  Fifteenth Problem Set in PDF  format (due
Tuesday26 February 2013)
  Solutions to problems from PS15

  Sixteenth Problem Set in PDF  format (due
Tuesday,  12 March 2013)
  Solutions to problems from PS16

  Seventeenth Problem Set in PDF  format (due
Tuesday,  19 March 2013)
  Solutions to problems from PS17

  Eighteenth Problem Set in PDF  format (due
Tuesday26 March 2013)
  Solutions to problems from PS18



SCHOLARSHIP EXAMINATION QUESTIONS


FINAL EXAMINATION QUESTIONS

Your Comments

You are welcome to submit any comments you have about this class here.

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