Chapters one and four from my book

**Problem sets**

PS01 | PS02 | PS03 | PS04 |

PS05 | PS06 | PS07 |

**Mathematica Labs**

LAB01 | LAB02 | LAB03 | LAB04 |

LAB05 | LAB06 | LAB07 |

**Mathematica Notebooks**

diagonalization.nb: Some
basic matrix manipulation

eulerangles.nb: Construction
of the Euler rotation matrix and visualiztion of its action on a vector
in three-space

mapping.nb: Maps lines from the
complex *z*-plane to the complex *w*-plane.

phasecolor.nb: Displays the
modulus of a function colored according to the phase of the function. Several
examples.

viewcomplex.nb: Displays the
real, imaginary, modulus and phase of a complex function. Sevaral examples.

showfourier.nb: Displays the
real and imaginary parts of both the original function and its Fourier
transform.

causal.nb: Superimposes the real
and imaginary parts of causal functions and their Fourier transforms.

chirp.nb: Investigates linearly
chirped pulses and their Fourier transforms.

doubleexp.nb: Illustrates the
complementary nature of time and frequency domain techniques for biexponential
decay.

2dnmr: Generates COSY free induction
decay signals and the corresponding COSY spectra.

**Links**

A mathematical
physics course by Jochen Rau at the Max-Planck-Institut für Physik
komplexer Systeme, Dresden Germany