Training structure
Faculty of Science
Presentation
The second year of the bachelor's degree in mathematics (L2 General Mathematics) is a stage for acquiring fundamental knowledge and orientation. A first group of teaching units provides the foundation of knowledge and skills that are essential for all mathematics students, regardless of their future role and field of activity. These teaching units are based on the following fundamental pillars: algebra and polynomials, differential and integral calculus, sequences and series.
A second group of teaching units provides support for students throughout their training. These include more digital methodology elements using IT tools related to numerical analysis, elements of reasoning in probability theory, elements for further study of modern languages, and future orientation (PPE).
Objectives
- Acquire solid knowledge in mathematics
- Acquire abstract thinking and problem-solving skills
- Acquire writing and communication skills
- Learn to program
- Develop a working method, an ability to synthesize information, 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 focused on fundamental mathematics, teaching, or more applied mathematics.
The second year of the bachelor's degree is a key stage in developing these skills.
Program
The year is organized into two semesters:
Semester 1:
- Algebra III Reduction of Endomorphisms (6 ECTS)
- Analysis III: Integration and Elementary Differential Equations (6 ECTS)
- Arithmetic of Polynomials (3ECTS)
- Probability (5 ECTS)
- Elementary Numerical Analysis (3ECTS)
- English (2 ECTS)
- 1 additional EU following the minor in computer science or physics
Semester 2:
- Algebra IV Euclidean Spaces (6 ECTS)
- Analysis IV: Function sequences, entire series, Fourier (8 ECTS)
-Topology of R^n and functions of several variables (5 ECTS)
- Statistics (3 ECTS)
- Numerical Linear Algebra (4 ECTS)
- Mathematics PPE (2 ECTS)
- English 2 ECTS)
English S3
2 creditsAnalysis III: Integration and Elementary Differential Equations
6 creditsProbabilities
5 creditsAlgebra III Reduction of Endomorphisms
6 creditsPolynomial arithmetic
3 creditsOPTION 1
5 creditsChoose one of two options:
Object modeling and programming 1
5 creditsOPTION 2
5 creditsChoose 2 out of 2
Math oral exam
1 creditThermodynamics 2
36h
Elementary numerical analysis
3 creditsASTRE's scientific approach to ecological transition
2 credits
English S4
2 creditsAnalysis IV Function sequences, entire series, Fourier
8 creditsTopology of R^n and functions of several variables
5 creditsAlgebra IV Euclidean spaces
6 creditsStatistics
3 creditsNumerical linear algebra
4 creditsPPE in mathematics
2 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 successfully completed a first year of CUPGE or a first year of mathematics at the University of Montpellier.
Mandatory prerequisites
Have completed a first year of university studies in science, preferably with a focus on mathematics
Recommended prerequisites
Solid knowledge of introductory linear algebra and real analysis from the first year of a bachelor's degree.