Teaching

This page gives an overview of the classes we teach regularly. For some earlier teaching by Michael Herbst, see https://michael-herbst.com/teaching/.

Error control in scientific modelling

IS academia: MATH-500
Semester: Autumn
Target audience: Mathematics Master, Materials science Master
Moodle link: https://go.epfl.ch/error-control

Summary

Errors are ubiquitous in computational science as neither models nor numerical techniques are perfect. With respect to eigenvalue problems motivated from materials science (transfer problems, atomistic modelling) we discuss, implement and apply numerical techniques for estimating simulation error.

Content

Algorithm demonstrations and implementations will be based on the Julia programming language and interactive Pluto notebooks.

Prerequisites

This course delivers a mathematical viewpoint on materials modelling and it is explicitly intended for an interdisciplinary student audience. To keep it accessible, the key mathematical and physical concepts will both be revised as we go along. However, the learning curve will be steep and an interest to learn about the respective other discipline is required. The problem sheets and the projects require a substantial amount of work and feature both theoretical (proof-oriented) and applied (programming-based and simulation-based) components. While there is some freedom for students to select their respective focus, students are encouraged to team up across the disciplines for the course work.

Literature

There is no single textbook corresponding to the content of the course. Parts of the lectures have substantial overlap with the following resources, where further information can be found.

Numerical analysis

IS academia: MATH-251(b)
Semester: Spring
Target audience: 2nd year Bachelor materials science, electrical engineering, chemistry
Moodle link: https://go.epfl.ch/numerical-analysis

Summary

The students will learn key numerical techniques for solving standard mathematical problems in science and engineering. The underlying mathematical theory and properties are discussed.

Content

The topics covered include:

Literature

A note to future teaching assistants

For this course the recruitment of AEs (assistante-étudiant) is directly processed through STI. If you want to become an AE for this course please register via the respective STI platform and do not apply by email. All such direct application emails will be ignored.

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Last modified: February 29, 2024. Website built with Franklin.jl and the Julia programming language.