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• Enable students to discover the teaching profession and learn about the didactics of mathematics.
•  Use practical examples to tackle some of the major themes in mathematics didactics.

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

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This UE will cover the following points:

     - 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 in the Euclidean affine plane and isometries.

     - Isometries and groups.

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Revisit undergraduate mathematics content in a cross-disciplinary way.

Problem-solving activity: research and communication.

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Acquire basic notions of numerical methods for differential equations

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Introduce the basic concepts of topology and their use in the study of functional spaces.

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This UE will enable :

Manipulate the main results of probability from a practical point of view. Reinforce understanding of random phenomena with numerical illustrations. Introduce students to Monte-Carlo simulation methods for numerically solving integration problems or calculating the probability of complex events. Complete knowledge of the main laws and their properties, with a view to applications to inferential statistics and statistical tests covered in the Master's program.

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Deepen the basic notions of group and ring theory covered in the previous semester.

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Learn the basics of mathematical optimization and its applications.

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Acquire basic notions of numerical methods for differential equations

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Introduce the basic tools of complex analysis.

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