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Mathematical Physics I (WS 2014/15)
This is a course of the Berlin Mathematical School held in English.
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 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.