Level of study
BAC +1
ECTS
4 credits
Component
Faculty of Science
Description
Teaching takes place in the form of projects, undertaken by pairs of students, supplemented over time by digital sessions enabling students to practice physics and chemistry ideas on a computer.
Depending on needs, a few more traditional classes are scheduled to complete students' training.
Indicative program :
1. Preliminaries: visualization of scalar and vector fields: gradient, divergence, rotational, Laplacian, contour lines, surface and volume integrals, sNumerical solutions of point mechanics problems
2. Student projects: these involve data acquisition, processing and interpretation. The general theme we have chosen is to train students to grasp 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...The combination of numerical methods, mathematical ideas and modeling seems to emerge naturally (examples of projects, purely indicative list: statistics of grains of sand, Poisson's and Gauss's laws, link with Beer Lambert's law via the concept of effective stopping cross-section; observational data in cosmology: matter/radiation distribution on the scale of the universe; statistics and epidemiological dynamics; microscopy and analysis of Brownian motion; etc.).
3. Additional chemistry: Slater's effective theory for atoms (effective screen potential), molecular orbitals, fragment approach
Knowledge control
Continuous assessment, through oral presentations and project results.
Written tests for course complements.