Préparation à l'agrégation - Modélisation Option B
Notes de cours manuscrites sur les problèmes aux limites (PDF).
Séance de TP sur les problèmes aux limites (TP) avec les codes Scilab:
- Section 2: Dirichlet homogène
- Section 3: Neumann homogène
- Section 5: Pendule
Codes Scilab associés au texte sur un modèle de transport-diffusion-réaction d'anticorps dans une tumeur (PDF):
- Schéma d'Euler explicite
- Schéma d'Euler implicite
M2 Math Research - 2018/19/20
Advanced course B4: Qualitative studies of PDEs : a dynamical system approach
- Lecture time: Thursday 1:30-4:45 pm
- Classroom: 1A-14
- Syllabus: (PDF)
- Lecture notes: (PDF)
- Link to the formation: Master 2 home page
Modélisation - M1 Math ESR - 2017 & 2018
Liens vers l'excellent cours de Franck Boyer sur les équations différentielles ordinaires (PDF) dont une partie des notes de cours est issue ainsi qu'une introduction à la pratique de Scilab par Romain Joly (PDF).
- Séance 1 (Cours-TD-TP), notes de cours (PDF) et code Scilab (TP1)
- Séance 2 (Cours-TD-TP) et codes Scilab (TP2)-(TP2-FHN)-(TP2-Lorenz)
- Séance 3 (TP)
- Séance 4 (Cours), (TP) et codes Scilab (TP4-I)-(TP4-II)
- Séance 5 (Cours), (TP) et codes Scilab (TP5-Dirichlet)
Summer School CIRM 2016
Here are the notes regarding the lectures on Pettern formation on the visual cortex (PDF) that I gave at the summer school on PDE & Probability for the life sciences at CIRM
M2R Mathematics and Biology 2016
- Dynamique des populations structurées faisant face au changement climatique (PDF)
- Codes MATLAB: (Fichier1) & (Fichier2)
- Références: (Ref1), (Ref2), (Ref3), (Ref4), (Ref5)
- Slides de Robin Aguilée (PDF)
Spring 2014
MATH 4512: Differential Equations with Applications
- Lecture time: MWF 10:10-11am
- Classroom: VinH 2
- Office Hours: M 11:15-12:05am / WF 9:05-9:55am
- Syllabus: (PDF)
- Textbook: P. Blanchard, R. Devaney, G. Hall / Differential Equations, Brooks/Cole, 4th edition, 2011
- Webpage of the course MATH 4512
Fall 2013
MATH 4512: Differential Equations with Applications
- Lecture time: MWF 10:10-11am
- Classroom: FordH B15
- Office Hours: M 11:15-12:05am / WF 9:05-9:55am
- Syllabus: (PDF)
- Textbook: P. Blanchard, R. Devaney, G. Hall / Differential Equations, Brooks/Cole, 4th edition, 2011
MATH 2374: Multivariable Calculus and Vector Analysis (Moodle)
- Lecture time: WF 8-8:50 am
- Classroom: STSS 220, TCEASTBANK
- Office Hours: M 11:15-12:05am / WF 9:05-9:55am
- Syllabus: (link)
- Textbook: Marsden and Tromba / Vector Calculus, Freeman, 6th edition
- Teaching Assistants: Haoran Chen (discussions 11 and 12), Juliann Leifeld (discussions 13 and 14) and Jonas Karlsson (discussions 15 and 16)
- Main instructor: Tyler Lawson
- Corrections of Midterms: (Midterm 1) , (Midterm 2) , (Midterm 3)
Spring 2013
MATH 2374: Multivariable Calculus and Vector Analysis (Moodle)
- Lecture time: WF 1:25-2:15 p.m
- Classroom: Phys 131, TCEASTBANK
- Office Hours: W 12:15-1:15pm / F 2:25-3:25pm
- Syllabus: (link)
- Textbook: Marsden and Tromba / Vector Calculus, Freeman, 5th edition
- Lectures: Part 24 , Part 25 , Part 26
- Teaching Assistants: Gabriela Jaramillo (discussion 21), Jonas Karlsson (discussion 22) and Patrick Fingerson (discussions 23, 24 and 25)
- Main instructor: Jang Soo Kim .
- Visualizing the 4th dimension ( link to videos ).
Fall 2012
MATH 5535: Dynamical Systems and Chaos
- Lecture time: MWF 2:30-3:20 p.m
- Classroom: VinH 209
- Office Hours: M 1:30-2:30pm / WF 3:30-4:30pm
- Syllabus: (PDF)
- Textbook: Hirsch, Smale, Devaney / Differential Equationsm Dynamical Systems, and an Introduction to Chaos, Academic Press, 3rd edition
- Some hand notes that will be completed along the semester: (PDF).
MATH 2374: Multivariable Calculus and Vector Analysis (Moodle)
- Lecture time: WF 1:25-2:15 p.m
- Classroom: AndH 310, TCWESTBANK
- Office Hours: M 1:30-2:30pm / WF 3:30-4:30pm
- Syllabus: (link)
- Textbook: Marsden and Tromba / Vector Calculus, Freeman, 5th edition
- Lectures: Part 24 - Part 25 - Part 26
- Teaching Assistants: Gabriela Jaramillo (discussions 21 and 22), Jessica Senou (discussions 23 and 24) and Robert Foldes (discussions 25 and 26)
- Main instructor: Jang Soo Kim .
2011/2012: Mathematical Methods for Neurosciences at ENS Paris
Mathematical Methods for Neurosciences part of M2 MVA and M2 Maths-Bio Paris 6:Lessons :
- An introduction to Mesoscopic models of cortical structures
- An overview on dynamical systems
- An introduction to bifurcation theory
-Applications: tuning curves selectivity, cortical patterns formation and visual hallucinations
Tutorials :
- TD1
- TD2
- TD3
- TD4