Vrije Universiteit Amsterdam
Department of Mathematics


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Information for the MSc. course "Geometric Dynamics and Symmetry" (Fall 2009):

Classes are on Tuesdays, 13:30-16:15, and consist of two 45 minute lectures and one 45 minute exercise session. The first lecture is on September 1 and the last one on December 15. There will be no lectures on October 13 and October 20.

From September 1 until October 6, lectures will take place in room F664 (W&N Building), from October 27 until November 3, lectures will be in room HG07A13 (Main Building), and from November 10 until December 15 they will be in my office WN R-361.

The most up to date version of the lecture notes can be found here. I will add chapters to these notes from time to time.

About the exam: Students are asked to make various exercises on the blackboard during the exercise sessions after the lecture. The final mark will mainly depend on the quality of these exercises. During the oral examination we will discuss the theory and the exercises and a mark will be given after this exam.

Homework:

For Sept. 8: Exc. 1.1, 1,2, 1,3, 1,4, 1.6.

For Sept. 15: Exc. 1.7, 2.1, 2.2.

For Sept. 22: Exc. 2.3, 2.4.

For Sept. 29: Exc. 2.5 and the extra exercise on the nonholonomic skate.

For Oct. 6: Exc. 3.1 3.2, 3.3.

NB: No lectures on Oct. 13 and 20.

For Oct. 27: Exc. 4.1, 4,2. Today the lecture starts at 14:00 in Room HG07A13.

For Nov. 3: Exc. 4.3, The Mercator projection is a "conformal" projection of the sphere (except the two poles) onto an annulus. See wikipedia for the construction. Try to derive the formulas for this projection.

For Nov. 10: Exc. 4.3, 4.4 and the extra excercise on the Mercator projection. Note that the lecture will be in my office WN R-361.

For Nov. 17: Exc. 5.2.

For Nov. 24: Exc. 5.3, 5.4.

For Dec. 1: Exc. 6.2, 6.3.

For Dec. 8: Exc. 6.4, 6.5, 6.7

For Dec. 15: No extra homework. I will discuss an outlook towards several applications of the theory we developed. Please make sure you make an appointment for an oral exam before Jan.15. The exam will take around 45 minutes and will comprise all exercises and theory. Today I will talk about the "restricted 3-body problem". I have some old lecture notes available on that right here.