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 allows students to approach the various master's degrees in mathematics with a solid foundation, regardless of their specialization (statistics, applied mathematics, fundamental mathematics, mathematics education). It builds on 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 transition year towards the Master's degree: the various specializations of the Master's in Mathematics are included in the teaching units, allowing students to choose options that will give them a preview of their focus for the following year.
Objectives
: - Acquire solid knowledge in mathematics
- Acquire abstraction and reasoning skills
- Use and strengthen writing and communication skills acquired in L1 and L2
- Strengthen working methods, analytical skills, precision, and rigor
Know-how and skills
The skills acquired during the three-year bachelor's degree in mathematics provide students with in-depth knowledge of mathematics, enabling them to pursue various master's degrees in mathematics, regardless of their specialization (statistics, applied mathematics, fundamental mathematics, mathematics education).
The third year of the bachelor's degree is the final stage in acquiring these skills.
Program
The year is organized into two 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, choose from the following 3 options.
- 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 knowledge - Choose from the list below +
2 creditsChoose 1 out of 13
Introduction to Oceanography
2 creditsPleasures and addictions
2 creditsMan's place in the Universe
2 creditsCreative writing
2 creditsEducation for ecological transition
2 creditsSport
2 creditsBasic computer tools and concepts (PIX)
2 creditsScience and Music
2 creditsScience and Fragrant Culture
2 creditsAdditive manufacturing
2 creditsThe quantum computer, between physics and mathematics
2 creditsQuestioning the movement
2 creditsScience and society
2 credits
Profile Selection
28 creditsChoose one of two options:
CAPES Mathematics Profile
28 creditsIntroduction to teaching
5 creditsGeometry
9 creditsSupplement for the CAPES
9 creditsNumerical Analysis of Differential Equations
5 credits
General Mathematics Profile
28 creditsTopology of metric spaces
7 creditsOPTION 1
10 creditsChoose 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
Admission requirements
Applications can be submitted on the following platforms:
- French and European students: follow the procedure on the University of Montpellier's e-candidat website: https://candidature.umontpellier.fr/candidature/
- International students from outside the EU: follow the "Études en France" procedure:https://pastel.diplomatie.gouv.fr/etudesenfrance/dyn/public/authentification/login.html
Target audience
This program is open to anyone who has completed a second year of mathematics at the University of Montpellier, or two years of CUPGE or MPSI.
Mandatory prerequisites
Have completed a second year of mathematics or any equivalent training.
Recommended prerequisites
Solid knowledge of linear algebra and real analysis from L2
And after
Continuing education
towards master's degrees in mathematics, regardless of their specialization, or master's degrees in other disciplines with mathematical content, or engineering schools.
Professional integration
This program paves the way for careers in teaching and/or research and engineering after completing a specialized master's degree (or equivalent).