TU Berlin Fakultät II
Institut für Mathematik

Arbeitsgruppe Geometrie



Geometry Group



Vergangene Semester


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Mathematical Physics I  (WS 2014/15)


Name Time Room
 Lectures   Prof. Dr. Jurij Suris   Tuesday, 10:00 - 12:00   MA 749 
 Prof. Dr. Jurij Suris   Thursday, 10:00 - 12:00   MA 749 
Tutorial  Dr. Raphael Boll   Tuesday, 12:00 - 14:00   MA 749 

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

Office hours

Name Office hours Room
 Lectures   Prof. Dr. Jurij Suris   Wednesday, 14:00 - 15:00   MA 827 
Tutorial  Dr. Raphael Boll  Wednesday, 14:00 - 15:00   MA 817 


  • Ordinary differential equations, existence and uniqueness theorems, dependence on initial conditions and parameters, prolongation of solutions.

  • Dynamical systems, flows and vector fields, fixed points, stability theorems, linear dynamical systems, linearization, bifurcations, normal forms of bifurcations, attracting sets, attractors.

  • Lagrangian mechanics in R^n, Legendre transformation, Hamiltonian mechanics in R^n, symplectic structure of the phase space, Poisson brackets, canonical transformations, Hamilton-Jacobi theory, symplectic integrators, differentiable manifolds, mechanics on manifolds, symmetries and Noether theorem, symplectic geometry, Poisson geometry, rigid body equations of motion


  • M. Petrera. Mathematical Physics I: Dynamical Systems and Classical Mechanics. Lecture Notes. 2013, Logos Verlag Berlin. ISBN: 978-3-8325-3569-8


  • You may pick up your certificates from our secretary Ms Jean Downes (MA 701). Please consider the office hours!

Homework sheets

Homework policy

  • Homework assignments are due weekly at the beginning of the Tutorial (Tuesday, 12:15). They have to be turned in directly to the lecturer. No homework will be accepted after the deadline has passed.

  • Homework assignments can be solved in groups of two people.

  • To get the Übungsschein, you need to satisfactorily complete 60% of the homework assignments.

Handwritten manuscript

Raphael Boll . 30.09.2015