Syllabus for Math 390,  Spring 2013

Symmetries in mechanics

• Professor: Eugene Lerman
• Office: 336 Illini Hall
• Phone: (217) 244-9510
• email: lerman( at )math. uiuc. edu (the best way to contact Eugene Lerman)
• Home page: http://www.math.uiuc.edu/~lerman
• Course page: http://www.math.uiuc.edu/~lerman/390/s13/s13.html
• Office Hours: see my calender and/or by appointment
• Class meets:
• W  11-12 am, 336 Illini Hall
• Prerequisites: 416h or 423, preferably both.

The plan is to read the whole book.

• Homework: Homework problems are to be assigned once a week. They are due the following week.
  1. notes to accompany section 2.
  2. more notes to accompany section 2.
  3. notes showing that O(n) is a manifold.
  4. notes discussing the definition of the tangent space of an abstract manifold.
  5. notes turning tangent and cotangent bundles of a manifold into a manifold.
  6. notes on the Euler-Lagrange equations and constrained systems.
  7. notes on the Legendre transform and 3 homework problems.
  8. More notes on the Legendre transform.
  9. notes on the rigid body dynaics, part 1.
  10. notes on symmetries and conservation laws, part 1.
  11. notes on symmetries and conservation laws, part 2.
  12. notes on the Marsden-Weinstein-Meyer reduction theorem.

• ---

  Return to Lerman's home page

  Last modified: Wed Apr 24 17:07:31 CDT 2013