1. This signal processing course teaches the basic signal processing techniques through numerous examples spanning a wide spectrum in the geophysical field. Both theoretical and practical aspects are presented for the main signal processing tools, with lectures and a personal "mini-project". The lectures address the following topics: Fourier transform, time sampling, Shannon theorem, correlation, convolution, spectral density, instant frequency, signal envelope, Wiener filtering, random process, Multidimensional filtering .... The "mini-project" proposes various applications: filtering of seismic data, deconvolution, time-frequency analysis. 2. The second part proposes an overview of the numerical methods developed in the last 30 years to compute the motion of the ground during an earthquake. It covers a wide range of methods: 1D-Shake, Discrete Wavenumber Method, Boundary Element Method, Finite Difference Method, Finite Element Method, Spectral Element Method. Practices involving simple 1D models are proposed for most of the above-mentioned methods.