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

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g

Video GamesEntertainment

Simulation

Phys

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Mor

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Mat

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atic

Trac

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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