M2 - Modeling and Numerical Analysis (MANU)

  • Training structure

    Faculty of Science

Presentation

MANU is a high-level program focused on solving applied problems (industrial, physical, biological, health) through mathematical analysis and numerical simulation. Its goal is to train PhD students or, more generally, scientists with a practical understanding of problems and in-depth mastery of numerical approximation tools, as well as the latest analysis techniques. The program includes a significant 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 academic and industrial circles.

 

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Objectives

  • Train doctors or, more generally, scientists capable of interacting in a multidisciplinary context.
  • Provide solid theoretical training enabling students to pursue academic or industrial doctoral studies
  • Responding to the demand from R&D centers at large companies/public industrial and commercial establishments for engineers with doctorates who are capable of working on the core computing system of a simulator.
  • Provide insights into new fields of application for scientific computing (environment, health, etc.)

 

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Know-how and skills

The skills acquired during the two years of training are cross-disciplinary and enable students to develop an in-depth understanding of mathematical modeling, numerical analysis, and scientific computing. In the second year, advanced courses closely related to research topics are offered, as well as in-depth training in scientific computing.

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Program

The second year is divided into two semesters. The program is as follows:

 

  • Semester 3

 

  • Numerical Analysis 4 (33 hours, 10 ECTS credits)
  • EDP Analysis 3 (27 hours, 8 ECTS)
  • Post-hoc estimates (21 hours, 6 ECTS credits)
  • Inverse problems (21 hours, 6 ECTS)

 

 

 

  • Semester 4

 

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

 

 

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  • Analysis of EDPs 3

    8 credits
  • Ex post estimates

    6 credits
  • Inverse problems

    6 credits
  • Numerical Analysis 4

    10 credits
  • Internship

    12 credits
  • Programming 2

    10 credits
  • Numerical Modeling

    8 credits

Admission

Registration procedures

Applications can be submitted on the following platforms: 

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Target audience

MANU is primarily intended for holders of a bachelor's degree in mathematics or equivalent training. The program is not suitable for students coming directly from a professional bachelor's degree. Direct admission to the second year is also possible on the basis of an application. It is open to M1-level students from French or foreign universities with initial training in mathematics, students from French or foreign engineering schools, or students from the École Normale Supérieure.

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Mandatory prerequisites

Bachelor's Degree in Mathematics

Master's Degree in Applied Mathematics

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Recommended prerequisites

Have taken a mechanics course and programming courses.

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And after

Continuing education

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

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Professional integration

At the end of this program, students will have the opportunity to continue with an academic or industrial thesis to enter the world of fundamental research, an EPIC (public industrial and commercial establishment), or the research divisions of large companies (as engineers or engineer-doctors).

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

 

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