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• Enable students to discover the teaching profession and learn about mathematics education.
•  Address some major themes in mathematics education using practical examples.

• Begin to change your approach to teaching mathematics and learn to ask questions related to teaching.
• Adopting a reflective approach to issues related to secondary school mathematics education
• Taking a step back from the math content taught in secondary school

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This EU will address 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 the mathematics content of the bachelor's degree in a cross-disciplinary manner.

Problem-solving activity: research and communication.

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Acquire basic knowledge 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 EU will enable:

Manipulate the main results of probabilities from a practical perspective. Reinforce understanding of random phenomena with numerical illustrations. Introduce simulation methods using the Monte Carlo method for the numerical resolution of integration problems or the calculation of probabilities for complex events. Supplement knowledge of the main commonly used laws and their properties with a view to applications in inferential statistics and statistical tests covered in the Master's program.

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Further explore the basic concepts of group and ring theory covered in the previous semester.

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Acquire basic concepts in mathematical optimization and its applications.

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Acquire basic knowledge of numerical methods for differential equations

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Introduce the basic tools of complex analysis.

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