Choice of Profiles

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• To allow students to discover the teaching profession and to learn about the didactics of mathematics
•  To address some major themes in mathematics didactics using practical examples.

• Begin a change in posture on the issue of teaching mathematics and learn to ask questions related to teaching.
• Adopt a reflective posture when faced with issues related to teaching mathematics in secondary schools
• Take a step back from the mathematical content taught in secondary schools

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This EU will allow to:

To manipulate the main results of probability from a practical point of view. Reinforce the understanding of random phenomena with numerical illustrations. To introduce simulation methods using the Monte-Carlo method for the numerical solution of integration problems or the calculation of the probability of complex events. To complete the knowledge of the main usual laws and their properties in view of the applications to inferential statistics and statistical tests approached in Master.

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Acquire basic notions in numerical methods for differential equations

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This EU will address the following:

     - Affine geometry: affine spaces, affine applications, barycenters. Affine geometry of the plane and space, classical theorems.

     - Euclidean affine geometry: Euclidean affine spaces, isometries. Euclidean affine geometry of the plane and space, classical theorems, use of complexes to describe objects of the Euclidean affine plane and isometries.

     - Isometries and groups.

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Revisit undergraduate mathematics content in a cross-disciplinary manner.

Problem solving activity: research and communication.

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Introduce the basic notions of topology and their use for the study of functional spaces.

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This EU will allow to:

To manipulate the main results of probability from a practical point of view. Reinforce the understanding of random phenomena with numerical illustrations. To introduce simulation methods using the Monte-Carlo method for the numerical solution of integration problems or the calculation of the probability of complex events. To complete the knowledge of the main usual laws and their properties in view of the applications to inferential statistics and statistical tests approached in Master.

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To deepen the basic notions of group and ring theories seen in the previous semester.

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To acquire the basic notions of mathematical optimization and its applications.

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Acquire basic notions in numerical methods for differential equations

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Introduce the basic tools of complex analysis.

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