Some old class notes, all in French with some exceptions




agrégation de mathématiques

I have been involved in the preparation to the agrégation de mathématiques for more years than I care to count, so it rates its special page of documents, not all obsolete, here.






2017-18

L2 parcours spécial :

Feuille TD 1

Feuille TD 2

Feuille TD 3

Feuille TD 4

Feuille TD 5

Feuille TD 6

Feuille TD 7

Contrôle Continu 1
Contrôle Continu 2

Contrôle Terminal
Solution Pbm 1
Solution Pbm 2

Agrégation interne :

Sujet de devoir samedi 25 11 17 



L3 parcours spécial :

Analyse Complexe 1

Résumé de cours

Exercise sheet 1

Exercise sheet 2

Exercise sheet 3

Contrôle continu 02 10 2017           

Solution

Contrôle Terminal 06 11 2017

Solution

Analyse Complexe 2

Résumé de cours

Exercise sheet 4

Exercise sheet 5

Exercise sheet 6

Contrôle Continu 27 11 2017

Solution

Devoir Maison

Solution

Exercise sheet 7

Contrôle Terminal 09 01 2018

Solution



 "Parcours Spécial":
This is like a honors class. The range of topics is broader and more advanced.
L2 is second year (sophomore), L3 third year (junior --- final year of the "licence" degree).

2016-17
L3 parcours spécial : Cours intensif, Advanced Complex Analysis

This was a 4-week class in one-variable Complex Analysis given in English to students who'd already seen the basics of the topic, culminating with the Riemann Mapping Theorem.

Course notes
Exercise sheet 1
Exercise sheet 2
Exercise sheet 3
Take home exam
Take home exam with solution
Final exam


L2 parcours spécial : TD, algèbre
I was in charge of exercises sessions for this advance linear algebra class (Jordan form of matrices, quadratic forms...)

Feuille de TD 1
Feuille de TD 2
Feuille de TD 3
Feuille de TD 4
Feuille de TD 5
Feuille de TD 6
L'orthogonalisation de Gram-Schmidt
Feuille de TD 7
Sujet du Contrôle Terminal
Solution du Contrôle Terminal
Sujet de 2e session
Solution du sujet de 2e session



Analyse Hilbertienne

I am teaching an introduction to the Fourier transform, mostly.
Here is a course summary for 2013-14, complemented by exercises set 1, set 2, set 3 and set 4, and by homework 1 and homework 2.
The final exam gives an inkling of what's expected of students at the end.
For 2014-15, here are exercises set 1, set 2, set 3, set 4, and set 5, and homework 1 and homework 2.
Here's the stuff from the year 2015-2016, the last year I taught the class.  Presumably by then I was field-tested, you never know, there are
probably some mistakes left.
L2 parcours spécial : Analyse  Hilbertienne
Résumé de cours (édition 2015)
1ere feuille de TD, 2015-16
2eme feuille de TD, 2015-16
3eme feuille de TD, 2015-16
Devoir Maison 1, 2015-16  corrigé
Correction Test 1, 2015-16, page 1  page 2
Contrôle Continu en temps limité, 2015-16
Contrôle Continu, corrigé, 2015-16
4eme feuille de TD, 2015-2016
Test 2, 2015-2016  Correction Test 2
Devoir Maison 2, 2015-16
5eme feuille de TD, 2015-16
Test 3, 2015-2016, avec correction



L2 PCP, option Chimie

In the Spring of 2014 I had to teach very elementary differential equations (and a bit about functions of two variables) to future engineers. 
Here are exercises set 1, set 2, set 3, set 4, and set 5, a mid-term exam, and a summary of how to look for "special" solutions in simple cases.
The second half of the class was ably taught by Joseph Najnudel.


L2 physique et chimie : Outils Mathématiques
Taught in the Fall of 2014. This is calculus for physicists, roughly.  Below are links to 4 exercise sets.
1ere feuille de TD
2eme feuille de TD
3eme feuille de TD
4eme feuille de TD



UE02 IMM (a first year, second-semester class in analysis) Documents de Claude Roche pour les étudiants d'analyse UE02

Solution examen terminal analyse juin 2009
Solution examen terminal analyse septembre 2009


First year, second semester calculus (circa 2003):

course notes :

Chapter 1
Chapter 2
Chapter 3
Chapter 4a
Chapter 4b
Chapter 5a
Chapter 5b

Exercises