Deepening CPES Sc subject S1

Teaching takes place in the form of projects, carried out by pairs of students, supplemented as they go along by digital sessions allowing students to practice the ideas of physics and chemistry on a computer.

Depending on the needs, a few more traditional course sessions are planned to complete the students' training

Indicative programme:

1. Preliminaries: visualization of scalar and vector fields: gradient, divergence, rotational, Laplacian, contour lines, surface and volume integrals, numerical solutions of point mechanics problems

2. Tutored projects offered to students: these provide for the acquisition, processing and interpretation of data.  The general theme we have chosen is to train students capable of understanding the ideas of "statistical field theory", i.e. the concept of probability applied to functions. This theme is omnipresent in modern science: image processing and analysis, AI, statistical physics, dynamical systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology, etc., and the conjunction of an approach combining numerical methods, mathematical ideas and modeling seems to emerge naturally (examples of projects, a purely indicative list: sand grain statistics, Poisson and Gauss's law, link with Beer Lambert's law via the concept of stopping cross-section; observation data in cosmology: matter/radiation distribution at the scale of the universe; statistics and epidemiological dynamics; microscopy and analysis of Brownian motion; etc.)

3. Chemistry supplements: Slater's effective theory for atoms (effective shield potential), molecular orbitals, fragment approach

Continuous assessment, through oral presentations and project results.

Written tests for course complements.