L3 - Maths CAPES

  • Training structure

    Faculty of Science

Presentation

The third year of the Bachelor's degree in Mathematics - Mathematics for Teaching - completes the acquisition of knowledge that allows the validation of a Bachelor's degree in Mathematics while preparing for entry into a Master's degree in Mathematics for the second degree.

The first semester is common to the whole general mathematics license, and is in the continuity of the L1 and L2 years with a stronger emphasis on abstraction and reasoning, the aim being to set up the theoretical tools necessary for a deepening and a stepping back on central concepts of mathematics, as well as an opening towards different fields (statistics, applied mathematics, fundamental mathematics).

The choice of the teaching pathway is only differentiated in S6, allowing all types of master's degrees in mathematics to be considered until the end of S5.

S6 offers both:

- in-depth mathematics in fundamental fields for secondary education, such as geometry,

- a revisiting of the mathematical contents of L, in line with the CAPES program, in order to promote their articulation, and a step back from the mathematics taught in secondary school,

- an introduction to teaching and didactic reflection in mathematics, combined with an internship in a secondary school.

- an in-depth study in an area of applied mathematics, chosen from numerical analysis and probability-statistics.

 

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Objectives

- Acquire a solid knowledge of mathematics and the ability to abstract and reason

- Use and reinforce writing and expression skills acquired in L1 and L2, in a teaching perspective

- Prepare to become a teacher, and initiate a reflection on mathematics and its teaching

 

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Know-how and skills

The skills acquired during the 3 years of the mathematics degree allow students to acquire in-depth knowledge in mathematics in order to move on to different masters in mathematics, whatever their speciality (statistics, applied mathematics, fundamental mathematics, mathematics education).

In the third year of the bachelor's degree, the mathematics education pathway leads to the MEEF second-degree mathematics master's degree, by initiating, in addition to mathematical skills, the development of a teaching posture.

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Organization

Program

  • Differential Calculus and Differential Equations

    6 credits

  • Groups and rings 1

    6 credits

  • Measurement and integration, Fourier

    8 credits

  • Probability Theory

    4 credits

  • English S5

    2 credits

  • Enumerative combinatorics

    4 credits

  • General Culture - To be chosen from the list below +.

    2 credits

    • Your choice: 1 of 12

      • Introduction to Oceanography

        2 credits

      • Pleasures and addictions

        2 credits

      • The place of man in the universe

        2 credits

      • Creative writing

        2 credits

      • Education for the ecological transition

        2 credits

      • Sport

      • Basic computer tools and concepts (PIX)

        2 credits

      • Science and Music

        2 credits

      • Sc. and Scent Culture

        2 credits

      • Additive manufacturing

        2 credits

      • The quantum computer, between physics and mathematics

        2 credits

      • The questioning of the movement

        2 credits

  • Choice of Profiles

    28 credits

    • Your choice: 1 of 2

      • Profile Maths CAPES

        28 credits

        • Introduction to teaching

          5 credits

        • CHOICE 1

          5 credits

          • Your choice: 1 of 2

            • Stochastic modeling

              5 credits

            • Numerical Analysis of Differential Equations

              5 credits

        • Geometry

          9 credits

        • Complement for the CAPES

          9 credits

      • General Maths Profile

        28 credits

        • Topology of metric spaces

          7 credits

        • CHOICE 1

          10 credits

          • Choice of 2 out of 3

            • Stochastic modeling

              5 credits

            • Groups and rings 2

              5 credits

            • Convex optimization

              5 credits

        • Numerical Analysis of Differential Equations

          5 credits

        • Complex Analysis

          6 credits

Admission

Target audience

This training is directly accessible to anyone who has validated a L2 Mathematics at the University of Montpellier, or 2 years of higher education with a very strong component in mathematics, on file.

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Necessary pre-requisites

Have completed a L2 in mathematics or 2 years of higher education with a very strong mathematics component.

 

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Recommended prerequisites

solid knowledge of L2 linear algebra and real analysis

 

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And then

Further studies

mainly towards the mathematics course of the MEEF second degree (other Masters can be concerned, for example MEEF first degree, MEEF PLP maths-sciences, didactics of sciences, history of sciences...).

 

 

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Professional integration

This training opens the way to the teaching profession after a specialized master's degree.

 

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