2026 - Mini-course: An introduction to optimal design
2022 - Refresher: differential calculus and applications
This refresher course is intended for students entering the
M1 MSIAM in Grenoble; it is aimed at recalling fundamental concepts about differential calculus, as well as important applications, notably the fixed point theorem, the implicit function theorem, etc.
The lecture notes containing an extended version of the course can be downloaded
here.
2023 - Mini-course: The level set method in connection with meshing
2022 - Refresher: differential calculus and applications
This refresher course is intended for students entering the
M1 MSIAM in Grenoble; it is aimed at recalling fundamental concepts about differential calculus, as well as important applications, notably the fixed point theorem, the implicit function theorem, etc.
The lecture notes containing an extended version of the course can be downloaded
here.
2022 - Mini-course: An introduction to the level set method and its applications
2020 - *: An introduction to shape and topology optimization
This course is part of the M2-MSIAM of the University of Grenoble. It is prepared jointly with
Eric Bonnetier.
- Click here to visit the dedicated webpage of the course.
- An adapted version from this course will be proposed online for students of the University of Tripoli (Lebanon);
click here to get the schedule.
2017 - * - Analyse fonctionnelle : du continu au discret
- Le polycopié de cours
- Les feuilles de td et autres documents :
2019 - Mini-course: Localized plasmonic resonances and the Neumann-Poincaré operator: homogenization and bowties
This mini-course was given at the occasion of the
POEMS Team seminar in Paris. The slides of the course are available
here.
2018 - Mini-course: An introduction to shape and topology optimization
This mini-course was given at the occasion of the
GDR MOA annual days. You may download:
- The syllabus of the course.
- The slides of the lectures (heavy .pdf file!).
- The classnotes of the hands-on sessions.
- The link to the GitHub repository containing all the material from the course,
including the source code of all the examples proposed in the hands-on session.
2018 (St Brieuc) - Broad audience introduction to shape optimization (in French)
- Les slides de la présentation. Un grand merci à Nicolas Nguyen pour son accueil chaleureux et
son enthousiasme communicatif !
2015 - * : Fall (ENSIMAG) - Mini-course: An introduction to the Level Set method
2012 - 2015 (Medellin, Colombia) - Numerical methods for incompressible fluids
2014 (Fall) - Advanced Calculus I (Math 311)
- Office hours: every Wednesday (15:00 - 16:00), and Thursday (9:00 - 10:00) in my office (344).
- Here is a provisional syllabus for the course
- Here is the list of homeworks; NO late homework will be considered, whatever the reason !
- Homework 1: Revisions around sets, functions, and the induction principle Assigned 09/09/2014, due 09/16/2014.
- Homework 2: Countability, and the set of real numbers Assigned 09/18/2014, due 09/25/2014.
- Homework 3: Convergence and arithmetic operations between sequences Assigned 09/25/2014, due 10/02/2014.
- Homework 4: Cauchy sequences, subsequences and monotone sequences Assigned 10/02/2014, due 10/09/2014.
- Homework 5: Limits of functions: definition and operations Assigned 10/09/2014, due 10/16/2014.
- Homework 6: Limits of functions (continued) and continuity Assigned 10/16/2014, due 10/23/2014.
- Homework 7: Continuous function: definition and operations Assigned 10/23/2014, due 10/30/2014.
- Homework 8: Open, closed and compacts sets; uniformly continuous functions Assigned 10/30/2014, due 11/06/2014.
- Homework 9: Properties of continuous functions on compact and connected sets Assigned 11/06/2014, due 11/13/2014.
- Homework 10: The Intermediate-Value Theorem and differentiable functions Assigned 11/13/2014, due 11/20/2014.
- Homework 11: Rolle's theorem and the Mean-Value Theorem Assigned 11/20/2014, due 12/02/2014.
- The first midterm will take place on the 10/09/2014; here and here are sheets of additionnal exercises to help you in your preparation.
- The second midterm will take place on the 11/25/2014; here is a sheet of additionnal exercises to help you in your preparation. Follow this link for a solution to Exercise 7.
- The final exam is scheduled on the 12/16/2014; here is a sheet of additionnal exercises to help you in your preparation.
- The workshop sessions are organized by M. Balasubramanian. Here is the list of workshop exercises:
2014 (Spring) - Elementary partial differential equations (Math 423)
- Office hours: every Tuesday and Wednesday 9:00 a.m. - 10:00 a.m, in my office (344).
- Here is a provisional syllabus for the course
- Here is the list of homeworks; watch out: NO late homework will be considered, whatever the reason !
- Homework 1: elementary notions, and the method of characteristics Assigned 01/28/2014, due 02/04/2014.
Here is also a partial correction.
- Homework 2: partial differential equations from physics and boundary conditions Assigned 02/04/2014, due 02/11/2014.
- Homework 3: partial differential equations from physics (continued), and second-order linear PDE Assigned 02/11/2014, due 02/20/2014.
- Homework 4: the wave equation on the real line Assigned 02/20/2014, due 02/27/2014.
Here is also a partial correction.
- The first midterm proposed on 03/04/2014.
Here is a correction.
- Homework 5: the heat equation on the real line and a first glance at the method of separation of variables Assigned 03/11/2014, due 03/25/2014.
Here is a handwritten correction.
- Homework 6: The method of separation of variables (continued), and first encounter with Fourier series Assigned 03/25/2014, due 04/01/2014.
Here is a handwritten correction.
- Homework 7: More Fourier series Assigned 04/01/2014, due 04/08/2014.
Here is a handwritten correction.
- The second midterm proposed on 04/15/2014.
Here is a correction.
- Homework 8: Convergence of Fourier series and the L^2 theory Assigned 04/08/2014, due 04/22/2014.
Important announcement: due to the poor results of Midterm 2, you have a chance to (partially) make up for a possibly bad grade
by achieving a very good grade on Homework 8: obtained points over 8 (out of a total of 10) will be transferred to the grade of Midterm 2 (for a maximum make up of 25 points over 100).
Work hard, using the typed correction of the midterm!
Here is a handwritten correction.
- Homework 9: The method of separation of variables with inhomogeneous data and the Laplace equation Assigned 04/22/2014, due 04/29/2014.
Watch out: the previous version contained a typo in the statement of question 4 of exercise 2 and in that of question 2 of exercise 5, which are corrected in the present one.
Here is a handwritten correction.
- Here is a list of complementary material, whose study may come in handy in your preparation for the final exam.
2012 - Topologie et Calcul Différentiel (LM360)
- Le polycopié de Jean-Yves Chemin
- Le mémo de Frédéric le Roux
- Les feuilles de td :
- Pour vous entraîner, voici les sujets des interrogations des autres groupes de Td : sujet 1 sujet 2, ainsi que leur corrigé respectif : corrigé 1 corrigé 2
- Voici également un exercice corrigé proposé par T. Bourgeron pendant l'atelier.
2011 - Méthodes d'adaptation pour la simulation numérique (NM491)
- Les sujets de TP
- Quelques notes informelles pour vous aider à démarrer les projets
- Le canevas de code C dans lequel programmer vos fonctions, ainsi que quelques outils complémentaires
- Le morceau de code C pour lire les fichiers de terrains (projet 2)
- Les exemples sur lesquels tester vos programmes :