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
Contrôle
Terminal 06 11 2017
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