This is my collection of formulae which I made during my bachelor’s and master’s studies. Since then, I use it a lot and of course I will further extend it.

Unfortunately, it is completely in German; however, if I have a lot of spare time some day I probably start translating it to English 😉

Subjects covered:

• complex numbers
• matrices, vectors and some tensor basics
• coordinate transforms
• some basic stuff for statistics and stochastic
• differentiation and integration
• multiple integrals
• ordinary and partial differential equations (this is really one of my favourite subjects in maths!)
• series
• scalar and vector fields
• curve integrals
• Laplace, Fourier, z and Hilbert transforms
• numerical methods for solving of differential equations (with Matlab/Octave samples)
• Interpolation; also with splines, quaternions and sinc-functions
• applications in control engineering
• applications in signal processing

I have a lot  more, but especially the last 2 chapters are not yet finished (and probably will never be, because I will further extend them).