Arbeitsgruppe Geometrie

Mathematical Physics I: Dynamical Systems and Classical Mechanics   (WS 2016/2017)

Contents

Initial value problems, Dynamical systems, Stability theory, Bifurcation theory, Lagrangian mechanics, Hamiltonian mechanics, Mechanics on smooth manifolds.

Literature

• V. Arnold, Mathematical Methods of Classical Mechanics, Springer, 1989.

• M. Petrera, Mathematical Physics I: Dynamical Systems and Classical Mechanics. Lecture Notes, 2013, Logos Verlag Berlin.

• Yu.B. Suris, Skript (handwritten, in German).

News

Homework sheets

• Exercise Sheet 1 (Due: Tutorial on 02.11.16)
• Exercise Sheet 2 (Due: Tutorial on 09.11.16)
• Exercise Sheet 3 (Due: Tutorial on 16.11.16)
• Exercise Sheet 4 (Due: Tutorial on 23.11.16)
• Exercise Sheet 5 (Due: Tutorial on 30.11.16)
• Exercise Sheet 6 (Due: Tutorial on 07.12.16)
• Exercise Sheet 7 (Due: Tutorial on 14.12.16)
• Exercise Sheet 8 (Due: Tutorial on 04.01.17)
• Exercise Sheet 9 (Due: Tutorial on 11.01.17)
• Exercise Sheet 10 (Due: Tutorial on 18.01.17)
• Exercise Sheet 11 (Due: Tutorial on 25.01.17)
• Exercise Sheet 12 (Due: Tutorial on 01.02.17)
• Exercise Sheet 13 (Due: Tutorial on 08.02.17)

Homework policy

• To get a certificate for the tutorial you need to satisfactorily complete 60% of the homework assignments.
• Homework assignments are due weekly. They may be turned in directly to Dr. Petrera at the beginning of the Tutorial (12:15) or left in the letter box of Dr. Petrera (MA 701, Frau J. Downes)