## Geometric Mechanics — 1st Semester 2015/2016
## AnnouncementsThe You can see surprising motions of mechanical systems with nonholonomic constraints here. You can see the motion of a Lagrange top here. You can see examples of the instability of free rigid body rotations about the intermediate axis here. You can see the two normal modes of the double pendulum near its stable equilibrium point here. ## 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 24)
- Week 2 (due on October 1)
- Week 3 (due on October 8)
- Week 4 (due on October 15)
- Week 5 (due on October 22)
- Week 6 (due on October 29)
- Week 7 (due on November 5)
- Week 8 (due on November 12)
- Week 9 (due on November 19)
- Week 10 (due on November 26)
- Week 11 (due on December 3)
- Week 12 (due on December 10)
- Week 13 (due on December 18)
For more exercises check the course webpages from previous years (mostly in Portuguese): ## Final exams |