• Training structure

    Faculty of Science

Presentation

The third year of the mathematics bachelor's degree (L3 General Mathematics) completes the acquisition of knowledge that will enable students to enter the various mathematics Masters programs with a solid foundation, whatever their specialization (statistics, applied mathematics, fundamental mathematics, mathematics education). It follows on from the L1 and L2 years, with a stronger emphasis on abstraction and reasoning, the aim being to establish the theoretical tools needed for further study.

            This year is also a year of transition towards the Masters: the various specialties of the Mathematics Masters are present in the courses, enabling students to choose options that will prefigure their orientation for the following year.

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Objectives

: - Acquire a solid knowledge of mathematics

  - Acquire abstraction and reasoning skills

  - Use and reinforce writing and expression skills acquired in L1 and L2

  - Reinforce work methods, the ability to synthesize, precision and rigor

 

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Know-how and skills

The skills acquired during the 3 years of the mathematics bachelor's degree enable students to acquire in-depth knowledge of mathematics, enabling them to move on to various mathematics master's degrees, whatever their specialization (statistics, applied mathematics, fundamental mathematics, mathematics education).

The third year of the bachelor's degree is the final stage in the acquisition of these skills.

 

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Program

The year is divided into 2 semesters:

Semester 5:

  • Groups and rings 1 (6 ECTS)
  • Differential calculus and differential equations (6 ECTS)
  • Measurement, integration, Fourier (8 ECTS)
  • Enumerative combinatorics (4 ECTS)
  • Probability theory (4 ECTS)
  • English (2 ECTS)

Semester 6:

 

  • Topology of metric spaces (7 ECTS)
  • Complex analysis (6 ECTS)
  • Numerical analysis of differential equations (5 ECTS)
  • General culture (2 ECTS)
  •  EU to be chosen from the following 3.
  • Stochastic modeling (5 ECTS)
  • Group and rings 2 (5 ECTS)
  • Convex optimization (5 ECTS)
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  • 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 - Choose from the list below +.

    2 credits
    • Your choice: 1 of 12

      • Introduction to Oceanography

        2 credits
      • Pleasures and addictions

        2 credits
      • Man's place in the Universe

        2 credits
      • Creative writing

        2 credits
      • Ecological transition education

        2 credits
      • Sport

      • Basic computer tools and concepts (PIX)

        2 credits
      • Science and Music

        2 credits
      • Sc. and Fragrance Culture

        2 credits
      • Additive manufacturing

        2 credits
      • The quantum computer, between physics and mathematics

        2 credits
      • Questioning movement

        2 credits
  • Profile selection

    28 credits
    • Your choice: 1 of 2

      • Maths CAPES profile

        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 course is directly accessible to anyone who has completed L2 Mathematics at the University of Montpellier, or 2 years of CUPGE or MPSI.

 

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Necessary prerequisites

L2 in mathematics or equivalent.

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Recommended prerequisites

solid knowledge of L2 linear algebra and real analysis

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And then

Further studies

Mathematics masters programs, whatever their specialization, or masters programs in other disciplines with mathematical content, or engineering schools.

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Professional integration

This training opens the way to careers in teaching and/or research, and to careers in engineering after a specialized Master's degree (or equivalent).

 

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