Training structure
Faculty of Science
Presentation
The third year of the Bachelor's degree in Mathematics (L3 General Mathematics) completes the acquisition of knowledge that will allow students to approach the various Masters in Mathematics with a solid foundation, whatever their specialty (statistics, applied mathematics, fundamental mathematics, mathematics education). It is a continuation of the L1 and L2 years with a stronger emphasis on abstraction and reasoning, the aim being to establish the theoretical tools necessary for further study.
This year is also a year of transition towards the Masters: the different specialities of the Masters in Mathematics are present in the UE, allowing the student, by choosing options, to prefigure an 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
- Strengthen the method of work, the spirit of synthesis, precision and rigor
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).
The third year of the Bachelor's degree is the final stage in the acquisition of these skills
Program
The year is organized in 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)
- UE to be chosen among the 3 following ones.
- 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 - To be chosen from the list below +.
2 creditsYour choice: 1 of 12
Introduction to Oceanography
2 creditsPleasures and addictions
2 creditsThe place of man in the universe
2 creditsCreative writing
2 creditsEducation for the ecological transition
2 creditsSport
Basic computer tools and concepts (PIX)
2 creditsScience and Music
2 creditsSc. and Scent Culture
2 creditsAdditive manufacturing
2 creditsThe quantum computer, between physics and mathematics
2 creditsThe questioning of the movement
2 credits
Choice of Profiles
28 creditsYour choice: 1 of 2
Profile Maths CAPES
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 training is directly accessible to anyone who has validated a L2 Mathematics at the University of Montpellier, or 2 years of CUPGE or MPSI.
Necessary pre-requisites
Have completed a L2 in mathematics or any equivalent training.
Recommended prerequisites
solid knowledge of L2 linear algebra and real analysis
And then
Further studies
towards Masters in Mathematics, whatever their speciality, or Masters in other disciplines with mathematical content, or engineering schools.
Professional integration
This training opens the way to teaching and/or research careers and to engineering careers after a specialized master's degree (or equivalent)