The document summarizes the math curriculum at CPE Lyon. It discusses two tracks of applied math - one with less math focusing on differential equations and physics, and one with more math covering algebra, calculus and numerical analysis. It then outlines the fundamental math courses taught in the first year, including linear algebra, probability, transforms and decomposition methods. Finally, it describes the applied math courses in the Image, Modeling and Computing specialization, which involve modeling, processing, simulation and programming with a focus on image data.

1. Applied Math at CPE

2. CGP ETI
Chemistry and chemical engineering
Chimie, genie des procédés
Electronics, telecommunications &
computer science
Electronique, telecom, informatique
CPE: 2 sections
~160 students / year ~130 students / year
Different students
Different program
Different teachers
Few math:
Differential equations, physics
More math:
Algebra, calculus, numerical analysis

3. CPE Diploma
ETI: Electronics, Telecommunication, Computer Science
Electronics
& Physics
Computer Science
& Networks
Math, Image
& Signal
ETI

4. CPE Program organization
math spé
math sup
1.5 year
1.5 year
Preparatory
school
CPE Lyon
2 year
Common
classes
Specialization

5. Specialization
1.5 Year, 6 choices (at CPE)
Web & Communication
Electronics system
Robotics and integrations of embeeded systems
Networks and telecommunications
Image, Modeling & Computing

6. Math program
Basic fundamental
math
Applied math in specific
domain
preparatory 1st y 2nd y 3st y

7. Fundamental math
Function analysis
Linear algebra
Probability
Fourier transform
Laplace transform
Matrix decomposition, LU, QR, Cholesky
Spectral analysis, SVD
Least squares problem
Discrete probability
Continuous probability
(1st year at CPE)

8. Fundamental math: Organisation
Classes 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

9. 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.

10. Math involved in other basic courses
Signal Processing
Image Processing & CG
Electronics, Automatics & Physics
Fourier transform
Filtering
Functional calculus
Geometry
Laplace transform
Z transform
Complex analysis
Algebra
Linear Signal Processing
Numerical Signal Processing
Random Signal Processing
Automatic for electronic system
Quantum physics & semiconductor
Optics & OptoElectronics

11. Applied math for the IMI speciality
CAD
Medical
Imaging
HPC
Video Games
Entertainment
Simulation
Image
Processing
Goal of the
Image, Modeling & Computing
specialization

12. Modeling
Computing
Processing/Visualization
Theory
Programming/Software
Image Data
Param
etric
Surfaces
CAD
Medical
Imaging
HPC
CT
VolumeRendering
Video Games
Entertainment
Simulation
Physicallybased
simulation
Morphological
Mathematic
Tracking
Image
Processing
Applied math for the IMI speciality

13. Courses involving math in the Speciality
3D Modeling
Numerical Analysis
Compression & Data mining
Image Processing
Inverse Problem & Optimization
Simulation

14. CPE Math Team
Jean-Marie Becker
Catherine Burnier
Serge Mazauric
Damien Rohmer
Olivier Dubois
Professor
Hubert Curien Lab. (CNRS), Saint Etienne
Math/Image
Assistant Professor
Hubert Curien Lab. (CNRS), Saint Etienne
Tomography
Lecturer, Preparatory School
Lecturer, PhD Candidate
Hubert Curien Lab. (CNRS), Saint Etienne
Material Imaging
Assistant Professor
INRIA, LJK Lab. (CNRS), Grenoble
Computer Graphics