Lund University

In this course, students get a solid knowledge of Lagrange and Hamilton formulations of classical mechanics with connections to field theory and relativity. The course contains the following: the variation principle and Lagrange's equations; Hamilton's principle; the central force problem with two bodies; motion of rigid bodies; small oscillations; Lagrange formulation of special relativity; Hamilton formalism; Canonical transformations; the Hamilton-Jacobi equation and Poisson brackets; Perturbation theory; and continuous systems and fields.

The course is aimed at instrumentalists with good playing habits who want to learn more about Swedish Folk music in theory and praxis. The course contains ensemble exercises, intonation, improvisation, and composition in the style of Swedish Folk music based on different dance types such as Polska, polka, waltz, and schottische. The course requires instrumental knowledge and the ability to play by ear on a basic level.

This is an introductory course in Quantum Mechanics. It starts with a brief historical background and discuss the basic ideas and postulates of quantum theory. Schrödingers wave equation are then introduced and students learn how to solve it for potentials in one dimension, such as wells and barriers. This is followed by concepts and formalism of operators, observables and measurements in quantum mechanics. The course ends by discussing the quantum model for an harmonic oscillator and introducing the hydrogen atom as a basic example of "round," three dimensional quantum mechanics.

This course discussed classical solution methods for first order equations. After this, linear equations of higher order with constant coefficients and first order systems are studied. Power series solutions are introduced for linear equations with variable coefficients. The last part of the course focuses on general theorems about existence and uniqueness. These theorems are important since most differential equations lack explicit solutions.