The Master in Mathematical Engineering is an interdisciplinary engineering master centred on the notion of mathematical model that has become instrumental in engineering sciences. Through a training in modelling, simulation and optimization (MSO), the students learn to design, analyse and implement mathematical models to be applied to complex systems of the industrial or corporate world, and to create efficient strategies to optimize their performance.
The mandatory courses provide the students with the necessary common skills in MSO. They span the domains of numerical analysis and scientific computing, dynamical systems, matrix computations, stochastic models, optimization models and methods.
Students are moreover offered several coherent lists of courses, called “options”. Some of the options provide them with advanced skills in various branches of MSO: optimization and operations research, dynamical systems and control, and computational engineering. The other options pertain to data science, financial mathematics, cryptography & information security, biomedical engineering, business risks and opportunities, and launching of small and medium-sized companies.
Below is the competency framework common to all the engineering masters. The Master in Mathematical Engineering distinguishes itself by the interdisciplinary engineering scope of the competencies and by the fact that modelling-related competencies are strengthened by the strong MSO background acquired by the students.
On successful completion of this programme, each student is able to :
1.demonstrating their mastery of a solid body of knowledge in basic engineering sciences allowing them to understand and solve problems related to their discipline
1.1 Identify and use concepts, laws, and appropriate reasoning to solve a given problem
1.2 Identify and use appropriate modelling and calculation tools to solve problems
1.3 Verify the plausibility and confirm the validity of results
2. organise and carry out a procedure in applied engineering to develop a product (and/or service) that meets a need or solves a particular problem:
2.1 Analyse the problem and formulate a corresponding specifications note
2.2 Model the problem and design one or more original technical solutions that correspond to the specifications note
2.3 Evaluate and classify the solutions in terms of all the criteria found in the specifications note: efficiency, feasibility, quality, ergonomics, environmental security and sustainability
2.4 Implement and test a solution through a mock up, a prototype or a numerical model
2.5 Formulate recommendations to improve the solution being studied
3. organise and carry out a research project in order to understand a physical phenomenon or a new problem relevant to the discipline
3.1 Document and summarize the existing body of knowledge in the area under consideration
3.2 Propose a model and/or an experimental device in order to simulate or test hypotheses relating to the phenomenon being studied
3.3 Write a cumulative report that explains the potential of the theoretical or technical innovations resulting from the research project
3.4. Think disruptively and creatively, open to plurality
4. contribute as part of a team to the planning and completion of a project while taking into account its objectives, allocated resources, and constraints
4.1 Frame and explain the project’s objectives (in terms of performance indicators) while taking into account its issues and constraints (resources, budget, deadlines, standards, environmental regulations, ...)
4.2 Collaborate on a work schedule, deadlines and roles
4.3 Work in a multi/inter/transdisciplinary environment with peers holding different points of view; manage any resulting disagreement or conflicts, identify the contributions and limits of each discipline, dialogue on the same project.
4.4 Make team decisions and assume the consequences of these decisions (whether they are about technical solutions or the division of labour to complete a project)
5. communicate effectively (orally or in writing) with the goal of carrying out assigned projects in the workplace.
5.1 Identify the needs of all parties: question, listen and understand all aspects of their request and not just the technical aspects.
5.2 Present your arguments, advise and adapt to the language of your interlocutors: technicians, colleagues, clients, superiors, specialists from other disciplines or general public.
5.3 Communicate through graphics and diagrams: interpret a diagram, present project results, structure information
5.4 Read and analyse different technical documents (rules, plans, specification notes)
5.5 Draft documents that take into account contextual requirements and social conventions
5.6 Make a convincing oral presentation using modern communication techniques.
6. Rigorously mobilize their scientific and technical skills and their critical sense to analyze complex situations by adopting a systemic and transdisciplinary approach, and to adapt their technical responses to the current and future challenges of the socio-economic-ecological transition, thus actively contributing to the transformation of society.
6.1 Acquire a knowledge base on the socio-ecological issues and use multi-criteria tools to evaluate the sustainability of a technology, in quantitative and/or qualitative terms.
6.2 Define, specify and analyze a problem in all its complexity, taking into account its various dimensions (social, ethical, environmental, etc.), scales (time, place) and uncertainty.
6.3 Identify, propose and activate engineering levers that can contribute to sustainable development and transition (eco-design, robustness, circularity, energy efficiency, etc.).
6.4 Demonstrate critical awareness of a technical solution in order to verify its robustness and minimize the risks that may occur during implementation, be aware of its limitations, and take a personal stand on ethical, environmental and societal issues.
6.5 Evaluate oneself and independently develop necessary skills for “lifelong learning” in the field
