Download - Applied Math at CPE
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Applied Math at CPE
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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
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CPE DiplomaETI: Electronics, Telecommunication, Computer Science
Electronics & Physics
Computer Science& Networks
Math, Image & Signal
ETI
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CPE Program organization
math spémath sup
1.5 year
1.5 year
Preparatoryschool
CPE Lyon
2 year
Commonclasses
Specialization
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Specialization1.5 Year, 6 choices (at CPE)
Web & Communication
Electronics system
Robotics and integrations of embeeded systems
Networks and telecommunications
Image, Modeling & Computing
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Math program
Basic fundamentalmath
Applied math in specificdomain
preparatory 1st y 2nd y 3st y
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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)
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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
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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.
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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
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Applied math for the IMI speciality
CAD
Medical Imaging
HPC
Video GamesEntertainment
Simulation
Image Processing
Goal of the Image, Modeling & Computing specialization
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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
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Courses involving math in the Speciality
3D Modeling
Numerical Analysis
Compression & Data mining
Image Processing
Inverse Problem & Optimization
Simulation
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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