Applied Math at CPE
Applied Math at CPE
CGP ETI
Chemistry and chemical engineeringChimie, genie des procédés
Electronics, telecommunications & computer scienceElectronique, telecom, informatique
CPE: 2 sections
~160 students / year ~130 students / year
Different studentsDifferent programDifferent teachers
Few math:Differential equations, physics
More math:Algebra, calculus, numerical analysis
CPE DiplomaETI: Electronics, Telecommunication, Computer Science
Electronics & Physics
Computer Science& Networks
Math, Image & Signal
ETI
CPE Program organization
math spémath sup
1.5 year
1.5 year
Preparatoryschool
CPE Lyon
2 year
Commonclasses
Specialization
Specialization1.5 Year, 6 choices (at CPE)
Web & Communication
Electronics system
Robotics and integrations of embeeded systems
Networks and telecommunications
Image, Modeling & Computing
Math program
Basic fundamentalmath
Applied math in specificdomain
preparatory 1st y 2nd y 3st y
Fundamental math
Function analysis
Linear algebra
Probability
Fourier transformLaplace transform
Matrix decomposition, LU, QR, CholeskySpectral analysis, SVDLeast squares problem
Discrete probabilityContinuous probability
(1st year at CPE)
Fundamental math: OrganisationClasses Mix bw TD/Lab Classes
- 130 students- 1 teacher- 2h / class
- 8 classes / topic- 16h total / topic
- 30 students / group- 2 teachers / group- 4h per sequence
- 4 Lab Class / topic- 24h total / topic
Focussing on practice
Lab classes always involves Matlab programmation
- 1st part paper/pen question (group of 2 - 4 students)
- 2nd part programming on computer (group 2 students)
- Handout: Report analysing the results (group 2 students)
For each sequence of 4h
Applications to: data anlysis, signal processing, image processing, physics, ...But focus on the math.
Math involved in other basic courses
Signal Processing
Image Processing & CG
Electronics, Automatics & Physics
Fourier transformFiltering
Functional calculusGeometry
Laplace transform Z transformComplex analysisAlgebra
Linear Signal ProcessingNumerical Signal ProcessingRandom Signal Processing
Automatic for electronic systemQuantum physics & semiconductorOptics & OptoElectronics
Applied math for the IMI speciality
CAD
Medical Imaging
HPC
Video GamesEntertainment
Simulation
Image Processing
Goal of the Image, Modeling & Computing specialization
Modeling
Computing
Processing/Visualization
Theory
Programming/Software
Image Data
Parametric Surfaces
CAD
Medical Imaging
HPC
CT
Volu
me R
enderin
g
Video GamesEntertainment
Simulation
Phys
ically
base
dsi
mula
tion
Mor
phol
ogic
al
Mat
hem
atic
Trac
king
Image Processing
Applied math for the IMI speciality
Courses involving math in the Speciality
3D Modeling
Numerical Analysis
Compression & Data mining
Image Processing
Inverse Problem & Optimization
Simulation
CPE Math Team
Jean-Marie Becker
Catherine Burnier
Serge Mazauric
Damien Rohmer
Olivier Dubois
ProfessorHubert Curien Lab. (CNRS), Saint EtienneMath/Image
Assistant ProfessorHubert Curien Lab. (CNRS), Saint EtienneTomography
Lecturer, Preparatory School
Lecturer, PhD CandidateHubert Curien Lab. (CNRS), Saint EtienneMaterial Imaging
Assistant ProfessorINRIA, LJK Lab. (CNRS), GrenobleComputer Graphics