TU Berlin Fakultät II
Institut für Mathematik

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Mathematical Physics 1: Dynamical Systems and Classical Mechanics (WS 2017/2018)

Lectures Dr. Matteo Petrera Tuesday 12:15 - 13:45 MA 749
Wednesday 12:15 - 13:45 MA 850
Tutorials Mats Vermeeren Thursday 10:15 - 11:45 MA 750

This is a course of the Berlin Mathematical School held in English.

Office Hours

Dr. Matteo Petrera
Mats Vermeeren
Monday 11-12 MA 819
MA 818


Initial value problems, dynamical systems, stability theory, bifurcation theory, Lagrangian mechanics, Hamiltonian mechanics


  • No Tutorial on 15.02. Extra office hour at that time instead.


  • V. Arnold, Mathematical methods of classical mechanics, Springer, 1989.
  • C. Chicone, Ordinary differential equations with applications, Springer, 2006.
  • M.W. Hirsch, S. Smale, Differential equations, dynamical systems and linear algebra, Academic Press, 1974.
  • M. Levi, Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction, AMS 2014.
  • J.E. Marsden, T. Ratiu, Introduction to mechanics and symmetry, Springer, 1999.
  • M. Petrera, Mathematical Physics 1. Dynamical systems and classical mechanics. Lecture Notes, Logos, 2013.

Exercise sheets

Homework policy

  • To get a certificate for the tutorial you need to obtain an average grade of 60% on the homework assignments in both halves of the semester.
  • Homework assignments are due weekly. They may be turned in at the beginning of the tutorial (Thursday, 10:15) or left in the letter box of Mats Vermeeren (MA 701, Frau J. Downes) before that time.

Tutorial notes (partially based on arXiv:0806.1147) ●
Mats Vermeeren . 08.02.2018.