Courses:

Physical Sciences >> Planetary and Space Sciences


For Course Instructors

  • Advertise your course for free
  • Feature your course listing
  • Create course discussion group
  • Link to your course page
  • Increase student enrollment

More Info...>>


Course Info

  • Course Number / Code:
  • 12.620J (Fall 2002) 
  • Course Title:
  • Classical Mechanics: A Computational Approach 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Earth, Atmospheric, and Planetary Sciences 
  • Course Instructor(s):
  • Prof. Gerald Sussman
    Prof. Jack Wisdom

     
  • Course Introduction:
  •  


  • 12.620J / 6.946J / 8.351J Classical Mechanics: A Computational Approach



    Fall 2002




    Course Highlights


    12.620J offers an online version of the textbook for the course, Structure and Interpretation of Classical Mechanics, written by Professors Gerald Jay Sussman and Jack Wisdom. This course also has other course materials online, including downloads and supporting documentation for the Scheme Mechanics System.


    Course Description


    12.620J covers the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. The course uses computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration.

    The following topics are covered: the Lagrangian formulation, action, variational principles, and equations of motion, Hamilton's principle, conserved quantities, rigid bodies and tops, Hamiltonian formulation and canonical equations, surfaces of section, chaos, canonical transformations and generating functions, Liouville's theorem and Poincaré integral invariants, Poincaré-Birkhoff and KAM theorems, invariant curves and cantori, nonlinear resonances, resonance overlap and transition to chaos, and properties of chaotic motion.

    Ideas are illustrated and supported with physical examples. There is extensive use of computing to capture methods, for simulation, and for symbolic analysis.

     

ACKNOWLEDGEMENT:
This course content is a redistribution of MIT Open Courses. Access to the course materials is free to all users.






© 2009-2017 HigherEdSpace.com, All Rights Reserved.
Higher Ed Space ® is a registered trademark of AmeriCareers LLC.