Go to content

MSc Mathematics and applications course Mathematics and interactions, MIX

Identity card

OBJECTIVES

Presentation

Do you wish to become an engineer knowing how to solve industrial problems with a mathematical approach?
The Mathematics and interactions course from the MSc Mathematics and applications will allow you to know how to model and/or simulate concrete or theoretical situations, and to suggest efficient and reliable solutions by confronting them to numeric mathematics methods.
In order to clarify and solve problems, you will also learn how to manipulate, represent and restore usable data within an institution.

Photo of the person responsible for the course

Michel Berthier

At the end of this course, you will know

ADMISSION

Your profile

You have a Bac+3, Bac+4 or equivalent (minimum 180 ECTS). and good knowledge in the field of mathematics

How to apply ?

In the 1st year of the Master’s degree, the selection of candidates is made on the basis of their application documents.
How to apply to the 1st year of the Master’s
How to apply to the 2nd year of the Master’s

PROGRAMME

Learning Outcomes
  • Extract digital information from various acquisition protocols
  • Choose a simulation algorithm according to the constraints
  • Learning outcomes

    The aims of this course are:
    -  to know how to implement simple finite element simulation algorithms;
    -  to be able to discuss the choice of a simulation algorithm according to the constraints.

  • Language used for teaching

    French

  • 32h (9h lectures - 18h practical work - 5h work in accompaniment)
  • 3 ECTS credits
  • Course code

    C6-259141-MATH

  • Learning outcomes

    The aims of this course are:
    -  to know the main characteristics of various acquisition protocols;
    -  to be able to extract digital information from these protocols.

  • Language used for teaching

    French

  • 30h (9h lectures - 21h practical work)
  • 3 ECTS credits
  • Course code

    C6-259142-MATH

  • Language used for teaching

    French

  • 24h (24h tutorials)
  • 2 ECTS credits
  • Course code

    DC-259101-ANG

  • Language used for teaching

    French

  • 12h (6h lectures - 6h practical work)
  • 1 ECTS credit
  • Course code

    C9-259102-PROF

  • Language used for teaching

    French

  • 15h (15h practical work)
  • 2 ECTS credits
  • Course code

    C6-259103-MATH

Learning Outcomes
  • Analyze and translate an economic management problem into dynamic systems
  • Implement modelling techniques and asymptotic study of random dynamics
  • Learning outcomes

    The aims of this course are:
    -  to know how to implement modelling and asymptotic study techniques of a random dynamic;
    -  to be able to simulate processes.

  • Language used for teaching

    French

  • 39h (15h lectures - 12h tutorials - 12h practical work)
  • 3 ECTS credits
  • Course code

    C6-259111-MATH

  • Learning outcomes

    The aims of this course are:
    -  to know how to implement modelling and asymptotic study techniques to a temporal dynamic;
    -  to be able to translate and analyze a resource optimization problem in terms of dynamic systems.

  • Language used for teaching

    French

  • 24h (12h lectures - 12h tutorials)
  • 3 ECTS credits
  • Course code

    C6-259112-MATH

Learning Outcomes
  • Combine mathematical tools with a concrete engineering problem
  • Learning outcomes

    The aims of this course are:
    -  to have a good knowledge of the potential of mathematics as an innovation language and as a creator of technological added value for industry;
    -  to have a good knowledge of the challenges of current mathematical research.

  • Language used for teaching

    French

  • 24h (24h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259131-MATH

  • Learning outcomes

    The aims of this course are:
    -  to be able to produce and implement simple algorithms for resolution or simulation;
    -  to master modern program sharing tools.

  • Language used for teaching

    French

  • 21h (21h practical work)
  • 2 ECTS credits
  • Course code

    C6-259132-MATH

  • Learning outcomes

    The aims of this course are:
    -  to be able to understand a problem in terms of engineering and identify the underlying mathematical problem;
    -  to be able to reinvest your knowledge to propose solutions;
    -  to know how to take part and contribute to a collective project involving multidisciplinary skills.

  • Language used for teaching

    French

  • 26h (26h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259133-MATH

Learning Outcomes
  • Master the foundations of theoretical analysis of partial differential equations
  • Ensure the existence and criticize a weak solution based on physical constraints
  • Learning outcomes

    The aims of this course are:
    -  to master the foundations of theoretical analysis of partial differential equations;
    -  to have a good knowledge of the essential results of the fundamental models;
    -  to know how to implement the study of a physical model in PDE.

  • Language used for teaching

    French

  • 58h 30min (22h 30min lectures - 36h tutorials)
  • 5 ECTS credits
  • Course code

    C6-259121-MATH

  • Learning outcomes

    The aims of this course are:
    -  to know how to apprehend a problem and how to deal with it;
    -  to be rigorous and critical in formalizing, modeling and solving a problem.

  • Language used for teaching

    French

  • 28h (8h tutorials - 20h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259122-ODP

Learning Outcomes
  • Process digital information from various acquisition protocols
  • Choose a simulation algorithm according to the constraints
  • Learning outcomes

    The aims of this course are:
    -  to be able to characterize the theoretical error of numerical reference schemes;
    -  to be able to provide visualizations of the error on realistic non-trivial examples.

  • Language used for teaching

    French

  • 33h (9h lectures - 24h practical work)
  • 3 ECTS credits
  • Course code

    C6-259241-MATH

  • Learning outcomes

    The aims of this coure are:
    -  to be able to implement processing, segmentation and detection algorithms;
    -  to know how to develop descriptors for the extraction of statistical characteristics.

  • Language used for teaching

    French

  • 34h (9h lectures - 21h practical work - 4h work in accompaniment)
  • 3 ECTS credits
  • Course code

    C6-259242-MATH

  • Language used for teaching

    French

  • 24h (24h tutorials)
  • 2 ECTS credits
  • Course code

    DC-259201-ANG

  • Language used for teaching

    French

  • 9h (4h 30min lectures - 4h 30min tutorials)
  • 1 ECTS credit
  • Course code

    C9-259202-GEST

Learning Outcomes
  • Rigorously scale a natural process model
  • Learning outcomes

    The aims of this course are:
    -  to be able to rigorously scale a natural process model;
    -  to control microscopic-mesoscopic-macroscopic scale changes;
    -  to know how to approach a problem in a unified way at different scales.

  • Language used for teaching

    French

  • 44h (12h lectures - 12h tutorials - 15h practical work - 5h work in accompaniment)
  • 4 ECTS credits
  • Course code

    C6-259211-MATH

  • Learning outcomes

    The aims of this course are:
    -  to know how to apprehend a problem and how to deal with it;
    -  to be rigorous and critical in formalizing, modeling and solving a problem.

  • Language used for teaching

    French

  • 15h (15h work in accompaniment)
  • 1 ECTS credit
  • Course code

    C6-259212-ODP

Learning Outcomes
  • Combine mathematical tools with a concrete engineering problem
  • Learning outcomes

    The aims of these seminars are:
    -  to acquire a good knowledge of the potential of mathematics as an innovation language and as a creator of technological added value for industry;
    -  to become knowledgeable about challenges of current mathematical research.

  • Language used for teaching

    French

  • 16h (16h work in accompaniment)
  • 1 ECTS credit
  • Course code

    C6-259231-MATH

  • Learning outcomes

    The aims of this course are:
    -  to possess basic knowledge of the structure of materials;
    -  to be familiar with the various material imaging protocols.

  • Language used for teaching

    French

  • 18h (6h lectures - 9h tutorials - 3h practical work)
  • 2 ECTS credits
  • Course code

    C6-259232-MATH

  • Learning outcomes

    The aims of this course are:
    -  to be able to understand a problem in terms of engineering and identify the underlying mathematical problem;
    -  to be able to reinvest your knowledge to propose solutions:
    -  to know how to take part and contribute to a collective project involving multidisciplinary skills.

  • Language used for teaching

    French

  • 34h (34h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259233-MATH

  • Language used for teaching

    French

  • 5 ECTS credits
  • Course code

    C6-259203-STAG

Learning Outcomes
  • Respect physical constraints in your mathematical approach
  • Learning outcomes

    The aims of this course are:
    -  to know how to respect physical constraints in his mathematical approach;
    -  to be able to prove the existence and criticize a weak solution based on physical constraints.

  • Language used for teaching

    French

  • 39h (15h lectures - 12h tutorials - 12h work in accompaniment)
  • 4 ECTS credits
  • Course code

    C6-259221-MATH

  • Learning outcomes

    The aims of this course are:
    -  to know how to apprehend a problem and how to deal with it:
    -  to be rigorous and critical in formalizing, modeling and solving a problem.

  • Language used for teaching

    French

  • 20h (20h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259222-ODP

Learning Outcomes
  • Construct and implement signal analysis and process algorithms
  • Learning outcomes

    The aims of this course:
    -  to master modern signal processing and analysis tools (frequency and multi-resolution analysis);
    -  to construct and implement signal analysis and processing algorithms.

  • Language used for teaching

    French

  • 56h (12h lectures - 24h tutorials - 15h practical work - 5h work in accompaniment)
  • 5 ECTS credits
  • Course code

    C6-259341-MATH

  • Learning outcomes

    The aims of this course are:
    -  to develop good knowledge of various applications of theory to sound, image and video;
    -  to be able to implement playful demonstrators.

  • Language used for teaching

    French

  • 15h (15h work in accompaniment)
  • 1 ECTS credit
  • Course code

    C6-259342-MATH

Learning Outcomes
  • To concretely interpret and reinvest theoretical results of the geometry of the EDPs
  • Learning outcomes

    The aims of this course are:
    -  to be able to justify the contribution of an abstract approach that takes advantage of problem-based geometry;
    -  to master the basic tools of Riemannian geometry related to the study of PDDs on manifolds.

  • Language used for teaching

    French

  • 45h (24h lectures - 21h tutorials)
  • 4 ECTS credits
  • Course code

    C6-259331-MATH

  • Learning outcomes

    The aims of this course are:
    -  to know how to apprehend a problem and how to deal with it ;
    -  to be rigorous and critical in formalizing, modeling and solving a problem.

  • Language used for teaching

    French

  • 18h 30min (4h 30min tutorials - 14h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259332-ODP

  • Language used for teaching

    French

  • 15h (15h practical work)
  • 2 ECTS credits
  • Course code

    C6-259301-ODP

  • Language used for teaching

    French

  • 10h 30min (10h 30min tutorials)
  • 1 ECTS credit
  • Course code

    C6-259302-RECH

Learning Outcomes
  • Analyze digital information and develop decision support tools
  • Use different visualization tools for the exploitation of results
  • Learning outcomes

    The aims of this course are:
    -  to be able to structure and describe the statistical characteristics of a data set;
    -  to analyze digital information and develop classification and decision-making tools.

  • Language used for teaching

    French

  • 64h (18h lectures - 26h tutorials - 20h practical work)
  • 5 ECTS credits
  • Course code

    C6-259321-MATH

  • Learning outcomes

    The aims of this course are:
    -  to be able to use a visual representation from a graphical interface to understand a problem;
    -  to know how to choose and use relevant representations for the exploitation of results.

  • Language used for teaching

    French

  • 24h (3h lectures - 15h tutorials - 6h work in accompaniment)
  • 2 ECTS credits
  • Course code

    C6-259322-MATH

  • Language used for teaching

    French

  • 24h (24h tutorials)
  • 2 ECTS credits
  • Course code

    DC-259351-ANG

Learning Outcomes
  • Understand the qualities and shortcomings of a data set
  • Build and implement simulations of unstable processes
  • Learning outcomes

    The aims of this course are:
    -  to be able to develop, analyze and implement algorithms dedicated to the simulation of hydrodynamic systems;
    -  to be able to develop, analyze and implement variational methods for assimilating hydrodynamic data.

  • Language used for teaching

    French

  • 56h (15h lectures - 15h tutorials - 26h practical work)
  • 4 ECTS credits
  • Course code

    C6-259311-MATH

  • Learning outcomes

    The aims of this course are:
    -  to have a basic knowledge of the complexity of transfer dynamics in materials;
    -  to know how to mathematically model the main transfer phenomena in materials.

  • Language used for teaching

    French

  • 24h (9h lectures - 15h practical work)
  • 2 ECTS credits
  • Course code

    C6-259312-MATH

  • Language used for teaching

    French

  • 30 ECTS credits
  • Course code

    C6-259401-STAG

AFTERWARDS

Further Education

-  PhD

Activity areas

  • Bank, insurance
  • Management, business management, accounting
  • Teaching, research

Professions

-  Design and research engineer (R&D);
-  Engineer and manager of production and control methods;

Faculté des Sciences et Technologies

Avenue Michel Crépeau

17042 La Rochelle cedex 1

Send a message

Find another course
Updated on 5 November 2019
Information subject to change