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.
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
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.
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)
Differential Calculus and Differential Equations
6 creditsGroups and rings 1
6 creditsMeasurement and integration, Fourier
8 creditsProbability Theory
4 creditsEnglish S5
2 creditsEnumerative combinatorics
4 credits
General culture - Choose from the list below +.
2 creditsYour choice: 1 of 12
Introduction to Oceanography
2 creditsPleasures and addictions
2 creditsMan's place in the Universe
2 creditsCreative writing
2 creditsEcological transition education
2 creditsSport
Basic computer tools and concepts (PIX)
2 creditsScience and Music
2 creditsSc. and Fragrance Culture
2 creditsAdditive manufacturing
2 creditsThe quantum computer, between physics and mathematics
2 creditsQuestioning movement
2 credits
Profile selection
28 creditsYour choice: 1 of 2
Maths CAPES profile
28 creditsIntroduction to teaching
5 creditsCHOICE 1
5 creditsYour choice: 1 of 2
Stochastic modeling
5 creditsNumerical analysis of differential equations
5 credits
Geometry
9 creditsComplement for the CAPES
9 credits
General Maths profile
28 creditsTopology of metric spaces
7 creditsCHOICE 1
10 creditsChoice of 2 out of 3
Stochastic modeling
5 creditsGroups and rings 2
5 creditsConvex optimization
5 credits
Numerical analysis of differential equations
5 creditsComplex 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.
Necessary prerequisites
L2 in mathematics or equivalent.
Recommended prerequisites
solid knowledge of L2 linear algebra and real analysis
And then
Further studies
Mathematics masters programs, whatever their specialization, or masters programs in other disciplines with mathematical content, or engineering schools.
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).