M2 - Modeling and Numerical Analysis (MANU)

  • Training structure

    Faculty of Science

Presentation

MANU is a high-level program oriented towards solving applied problems (industrial, physical, biological, health) through mathematical analysis and numerical simulation. Its goal is to train PhDs or, more generally, scientists with a concrete sense of the problems and a thorough mastery of numerical approximation tools, as well as the most recent analysis techniques. The program integrates an important core of advanced courses in numerical and theoretical analysis of PDEs with courses in optimization and learning, computer science, and modeling. An important asset is the familiarization with advanced implementation tools and a close link with recent research topics from academia and industry.

 

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Objectives

  • To train PhDs or, more generally, scientists capable of interacting in a multi-disciplinary context
  • To ensure a solid theoretical training allowing the continuation in academic or industrial thesis
  • Respond to the demand from R&D centers of large companies/EPICs for doctoral engineers capable of intervening in the calculation core of a simulator
  • To give openings on the new fields of applications of scientific computing (environment, health, etc.)

 

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Know-how and skills

The skills acquired during the two years of training are transversal and allow the development of an in-depth understanding of mathematical modeling, numerical analysis and scientific computing. In the second year, high-level courses close to research topics are offered, as well as an in-depth training in scientific computing.

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Program

The second year is organized in 2 semesters. The program is as follows:

 

  • Semester 3

 

  • Numerical Analysis 4 (33H, 10 ECTS)
  • PDE analysis 3 (27H, 8 ECTS)
  • Posteriori estimates (21H, 6 ECTS)
  • Inverse problems (21H, 6 ECTS)

 

 

 

  • Semester 4

 

  • Programming 2 (30H, 10 ECTS)
  • Digital modeling (24H, 8 ECTS)
  • Internship in a company or academic laboratory (> 4 months, 12 ECTS)

 

 

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  • PDE analysis 3

    8 credits
  • Hindsight estimates

    6 credits
  • Inverse problems

    6 credits
  • Numerical Analysis 4

    10 credits
  • Internship

    12 credits
  • Programming 2

    10 credits
  • Numerical Modeling

    8 credits

Admission

How to register

Applications are made on the following platforms: 

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Target audience

MANU is primarily intended for holders of a mathematics degree or equivalent. The program is not suitable for students coming directly from a professional license. The possibility of direct access to the second year is also possible on the basis of an application. It is offered to M1 students from French or foreign universities with initial training in mathematics, to students from French or foreign engineering schools or to students from the Ecole Normale Supérieure.

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Necessary pre-requisites

Bachelor of Mathematics

Master 1 in Applied Mathematics

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Recommended prerequisites

Must have completed a mechanical course and programming courses.

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And then

Further studies

At the end of this course, students will have the opportunity to continue with an academic or industrial thesis.

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Professional integration

At the end of this course, students will have the possibility of continuing with an academic or industrial thesis to join the world of fundamental research, an EPIC (Public Industrial and Commercial Establishment) or the research divisions of large companies (as engineers or doctoral engineers).

The Master's degree also provides direct access to the job market in connection with modeling, scientific computing and the development of numerical methods, such as the development divisions of small and medium-sized companies.

 

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