Lecture Notes

Notes Summer 2009

Michael Nakamaye: Minicourse 1: Symmetry (files from summer 2008)
Periodic Table of Elements Molecular Geometry Molecular Lattices Crystallography	Fourier Series Parseval's Formula Symmetry of Functions Inner Product
Isometries More Isometries Tessellations of the Plane & Isometries	Isoperimetric Problem 1 Isoperimetric Problem 2 Isoperimetric Problem 3
Symmetry in Newtonian Mechanics Galilean Invariance	The Michelson-Morley Experiment Special Theory of Relativity

Cristina Pereyra: Minicourse 2: Fourier Analysis and Wavelets
Harmonic Analysis: from Fourier to Haar The Gibbs Phenomenon The power of averaging or summability methods The Fast Fourier Transform (FFT) and the Fast Haar Transform (FHT) The Haar system in R

Jens Lorenz: Minicourse 3: Modeling
Lecture Notes

Monika Nitsche: Minicourse 4: Fluid Dynamics
MATLAB Tutorial Lecture Notes Article on Vortex Dynamics (Encyclopedia of Mathematics and Physics, 2006)