Analytical Mechanics

The mathematical structure of mechanics:
- review of Newton's description of mechanics
- generalised coordinates, Lagrange and Hamilton equations, variational calculus, Hamilton's principle
- symmetries and conservation laws
- canonical transformations, Poisson brackets
- inertial systems, Galilei transformations
- mathematical tools: calculus of variations, Legendre transformation, tensor calculus, separation of variables

Applications:
- holonomic and nonholonomic constraints
- two-body problem, Kepler problem
- kinematics of rigid bodies, dynamics of rigid bodies
- small oscillations
- the body in magnetic fields, vortices in fluids
- electrical circuits

Progressive specialisation: A1N (has only first‐cycle course/s as entry requirements)

Education level: Master's level

Admission requirements: 45 ECTS credits in Physics, including Mechanics with Applications 1, 7.5 ECTS credits, Mechanics with Applications 2, 7.5 ECTS credits, and Introductory Modern Physics, 7.5 ECTS credits, plus 30 ECTS credits in Mathematics, including Complex Analysis and Transforms, 7.5 ECTS credits, plus upper secondary level English 6, or equivalent

Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.

This course is included in the following programme

• Master of Science in Engineering Physics (studied during year 4)