Teaching

2016-2017

Hamiltonian Mechanics (2016-2017)_111

This course deals with the analysis of the ordinary differential equations and the dynamical systems involved in classical mechanics. The basic concepts and analytical techniques of the Lagrange's and Hamilton's formulations are presented. The aim is to provide the students with a good working knowledge of the formalisms and their applications in classical systems. As examples, the central force motion and the restricted three-body problem will be discussed. The analytical concepts and techniques developed serve as the springboard for various branches of moder physics, for instance, quantum mechanics.

For the syllabus and preliminary program click here.

When and where On tuesday 10:00 - 12:45, room WN-S640

2015-2016

Numerical Methods (2015-2016)_141

The aim of the course is to learn the classical methods from numerical analysis, to develop intuition for the reliability of numerical methods, to gain experience in numerically solving problems and to learn the basics of MATLAB.

The course covers most of the cassical techniques in numerical analyisis, for instance the bisection and the Newton method to solve nonlinear equations, interpolation, splines, least square method, SVD decomposition, Fast Fourier trasform, numerical differentiation and integration, iterative methods for solving linear problmes, QR factorization, finite difference schemes for ODEs and initial values problem, some basics to solve PDEs.

Book Numerical Analysis, 9th edition

Richard Burden and J. Douglas Faires, Thomson Brooks/Cole, ISBN: 978-0538735643

All course material will be made available via blackboard

2014-2015

Numerical Methods (2014-2015)_141