MSc Mathematics and applications programme Mathematics and interactions, MIX Home Sciences, Technologies and Health MSc Mathematics and applications programme Mathematics and interactions, (...) Add to my courses download this page in Simplified version (4 pages - 110.4 kb) download this page in Detailed version (11 pages - 133.1 kb) OBJECTIVES ADMISSION PROGRAMME AFTERWARDS Identity card Domain : Sciences, Technologies and Health Full time course Continuing Education 120 ECTS credits 4 semesters La Rochelle 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. Michel Berthier At the end of this course, you will know Understand an engineering problem and identify the underlying mathematical problem Analyze and translate an economic management problem into dynamic systems Combine mathematical tools with a concrete engineering problem Respect physical constraints in your mathematical approach Understand the qualities and shortcomings of a data set Extract, process and analyze digital information from source data for the development of relevant models Extract digital information from various acquisition protocols Process digital information from various acquisition protocols Analyze digital information and develop decision support tools Develop and/or adapt mathematical models of natural processes to discrete and continuous scales Implement modelling techniques and asymptotic study of random dynamics Rigorously scale a natural process model To concretely interpret and reinvest theoretical results of the geometry of the EDPs Implement realistic simulations based on accurate, robust and fable mathematical tools Choose a simulation algorithm according to the constraints Build and implement simulations of unstable processes Construct and implement signal analysis and process algorithms Represent and visualize solutions, provide validated and usable answers Master the foundations of theoretical analysis of partial differential equations Ensure the existence and criticize a weak solution based on physical constraints Use different visualization tools for the exploitation of results Cross-curricular skills Master the research, reading and writing of scientific documents in French and English Master computer tools for scientific calculation and numerical simulation Master computer tools for image processing and analysis Pre-professional skills Have a good knowledge of the potential of mathematics as an innovation language and as a creator of technological added value for industry Know how to take part and contribute to a collective project involving multidisciplinary skills Be rigorous and critical in formalising, modelling and solving a problem 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 Mandatory Course option fold all unfold all Semester 1 Acquisition and simulation Learning Outcomes Extract digital information from various acquisition protocols Choose a simulation algorithm according to the constraints Numerical simulation by finite elements 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 teachingFrench 32h (9h lectures - 18h practical work - 5h work in accompaniment) 3 ECTS credits Course codeC6-259141-MATH Image acquisition 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 teachingFrench 30h (9h lectures - 21h practical work) 3 ECTS credits Course codeC6-259142-MATH Cross-curricular courses First Foreign Language: English Language used for teachingFrench 24h (24h tutorials) 2 ECTS credits Course codeDC-259101-ANG Communication Language used for teachingFrench 12h (6h lectures - 6h practical work) 1 ECTS credit Course codeC9-259102-PROF Writing scientific documents Language used for teachingFrench 15h (15h practical work) 2 ECTS credits Course codeC6-259103-MATH Dynamics Learning Outcomes Analyze and translate an economic management problem into dynamic systems Implement modelling techniques and asymptotic study of random dynamics From the scale of particles to the scale of observation 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 teachingFrench 39h (15h lectures - 12h tutorials - 12h practical work) 3 ECTS credits Course codeC6-259111-MATH Temporal dynamics 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 teachingFrench 24h (12h lectures - 12h tutorials) 3 ECTS credits Course codeC6-259112-MATH Implementation Learning Outcomes Combine mathematical tools with a concrete engineering problem Junior seminars 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 teachingFrench 24h (24h work in accompaniment) 2 ECTS credits Course codeC6-259131-MATH Tools for calculation 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 teachingFrench 21h (21h practical work) 2 ECTS credits Course codeC6-259132-MATH Math Enterprise Week 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 teachingFrench 26h (26h work in accompaniment) 2 ECTS credits Course codeC6-259133-MATH Partial differential equations Learning Outcomes Master the foundations of theoretical analysis of partial differential equations Ensure the existence and criticize a weak solution based on physical constraints Partial differential equations 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 teachingFrench 58h 30min (22h 30min lectures - 36h tutorials) 5 ECTS credits Course codeC6-259121-MATH Assisting autonomy 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 teachingFrench 28h (8h tutorials - 20h work in accompaniment) 2 ECTS credits Course codeC6-259122-ODP Semester 2 Acquisiton and simulation Learning Outcomes Process digital information from various acquisition protocols Choose a simulation algorithm according to the constraints Simulation, which solution for which problem? 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 teachingFrench 33h (9h lectures - 24h practical work) 3 ECTS credits Course codeC6-259241-MATH Image data processing 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 teachingFrench 43h (9h lectures - 30h practical work - 4h work in accompaniment) 3 ECTS credits Course codeC6-259242-MATH Cross-curricular courses First Foreign Language: English Language used for teachingFrench 24h (24h tutorials) 2 ECTS credits Course codeDC-259201-ANG Gestion des entreprises Language used for teachingFrench 9h (4h 30min lectures - 4h 30min tutorials) 1 ECTS credit Course codeC9-259202-GEST From the scale of particles to the scale of observation Learning Outcomes Rigorously scale a natural process model Random dynamics 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 teachingFrench 44h (12h lectures - 12h tutorials - 15h practical work - 5h work in accompaniment) 4 ECTS credits Course codeC6-259211-MATH Assisting autonomy 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 teachingFrench 15h (15h work in accompaniment) 1 ECTS credit Course codeC6-259212-ODP Implementation Learning Outcomes Combine mathematical tools with a concrete engineering problem Junior seminars 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 teachingFrench 16h (16h work in accompaniment) 1 ECTS credit Course codeC6-259231-MATH Physics of materials 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 teachingFrench 18h (6h lectures - 9h tutorials - 3h practical work) 2 ECTS credits Course codeC6-259232-MATH Math Enterprise Week 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 teachingFrench 34h (34h work in accompaniment) 2 ECTS credits Course codeC6-259233-MATH Internship Internship (8 weeks) Language used for teachingFrench 5 ECTS credits Course codeC6-259203-STAG PDE: physical solution vs. mathematical solutions Learning Outcomes Respect physical constraints in your mathematical approach PDE: physical solution vs. mathematical solutions 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 teachingFrench 39h (15h lectures - 12h tutorials - 12h work in accompaniment) 4 ECTS credits Course codeC6-259221-MATH Assisting autonomy 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 teachingFrench 20h (20h work in accompaniment) 2 ECTS credits Course codeC6-259222-ODP Semester 3 Frequency processing and analysis Learning Outcomes Construct and implement signal analysis and process algorithms Signal and image 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 teachingFrench 56h (12h lectures - 24h tutorials - 15h practical work - 5h work in accompaniment) 5 ECTS credits Course codeC6-259341-MATH The handled signal 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 teachingFrench 15h (15h work in accompaniment) 1 ECTS credit Course codeC6-259342-MATH PDE geometry Learning Outcomes To concretely interpret and reinvest theoretical results of the geometry of the EDPs PDE geometry 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 teachingFrench 45h (24h lectures - 21h tutorials) 4 ECTS credits Course codeC6-259331-MATH Assisting autonomy 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 teachingFrench 18h 30min (4h 30min tutorials - 14h work in accompaniment) 2 ECTS credits Course codeC6-259332-ODP Cross-curricular courses Writing and publishing scientific documents Language used for teachingFrench 15h (15h practical work) 2 ECTS credits Course codeC6-259301-ODP What are the issues at stake for mathematics in R&D? Language used for teachingFrench 10h 30min (10h 30min tutorials) 1 ECTS credit Course codeC6-259302-RECH Data analysis Learning Outcomes Analyze digital information and develop decision support tools Use different visualization tools for the exploitation of results Data analysis and graphical models 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 teachingFrench 64h (18h lectures - 26h tutorials - 20h practical work) 5 ECTS credits Course codeC6-259321-MATH Visualization 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 teachingFrench 24h (3h lectures - 15h tutorials - 6h work in accompaniment) 2 ECTS credits Course codeC6-259322-MATH Foreign language First Foreign Language: English Language used for teachingFrench 24h (24h tutorials) 2 ECTS credits Course codeDC-259351-ANG Simulation and reality Learning Outcomes Understand the qualities and shortcomings of a data set Build and implement simulations of unstable processes Numerical simulation for hydrodynamics 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 teachingFrench 56h (15h lectures - 15h tutorials - 26h practical work) 4 ECTS credits Course codeC6-259311-MATH Transfer and materials 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 teachingFrench 24h (9h lectures - 15h practical work) 2 ECTS credits Course codeC6-259312-MATH Semester 4 Cross-curricular courses Internship (18 weeks) Language used for teachingFrench 30 ECTS credits Course codeC6-259401-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;