## Geometric Mechanics — 1st Semester 2020/2021
## AnnouncementsThe final grades are now available (see side bar). You can find more information about the tennis racket theorem in this video. You can see a dramatic implementation of the Lagrange top this video. You can see surprising motions of mechanical systems with nonholonomic constraints here, here and here. See an explanation of the first video in this paper (or solve exercise 4.15.(11) in the book). To understand the origin of the designation "completely integrable system" solve question 3 in this exam. You can find more information about the KAM Theorem here. You can learn more about cosmology on this webpage. ## Syllabus
## Bibliography
- Godinho and Natário, An Introduction to Riemannian Geometry
- Arnold, Mathematical Methods of Classical Mechanics
- Marsden and Ratiu, Introduction to Mechanics and Symmetry
- Oliva, Geometric Mechanics
- Schutz, A First Course in General Relativity
## Grading Policy
## Homework- Week 1 (due on September 30)
- Week 2 (due on October 7)
- Week 3 (due on October 14)
- Week 4 (due on October 21)
- Week 5 (due on October 28)
- Week 6 (due on November 4)
- Week 7 (due on November 11)
- Week 8 (due on November 18)
- Week 9 (due on November 25)
- Week 10 (due on December 2)
- Week 11 (due on December 9)
- Week 12 (due on December 16)
- Week 13 (due on January 7)
For more exercises check the course webpages from previous years (mostly in Portuguese): ## Final exams |