Advanced Classical Mechanics,   WS 2026/27

Lecture:   time/room tba

Final Grade:  100% Final Exam
allowed auxilliary means:  1 sheet DIN A4, written or printed on both sides, and a simple electronic calculator


Course Outline: The following material should be covered:

1. Brief Reminder Newtonian Mechanics
   
2. The Euler-Lagrange Equations of Classical Mechanics
   2.1   Derivation for 1 Particle
   2.2   Examples:
           2.2.1   Equations of Motion in Spherical Coordinates
           2.2.2   The Spherical Pendulum
   2.3   Derivation for N Particles
   2.4   Examples:
           2.4.1   The Double Pendulum
           2.4.2   Motion of N Coupled Oscillators
   2.5   Derivation from a Variational Principle
           2.5.1   General Formalism
           2.5.2   Example: The Brachistochrone-Problem
   
3. Hamiltonian Mechanics
   3.1   Hamilton Function and Hamilton Equations
   3.2   Examples: Anharmonic Oscillators in One Dimension
   3.3   Classical Action and Hamilton-Jacobi Equation