Training Structure
College of Sciences
Overview
The second year of the bachelor’s degree program in mathematics (L2 General Mathematics) is a phase focused on acquiring foundational knowledge and determining a career path. An initial set of courses provides a foundation of knowledge and skills essential to all mathematics students, regardless of their future roles or fields of work. These courses are based on the following fundamental pillars: algebra and polynomials, differential and integral calculus, and sequences and series.
A second group of course units is designed to support students throughout their academic journey. These include more digital aspects of methodology involving the use of computer tools related to numerical analysis, elements of reasoning in probability theory, advanced modern language courses, and future career guidance (PPE).
Objectives
- Gain a solid foundation in mathematics
- Develop abstract thinking and problem-solving skills
- Develop writing and communication skills
- Learn to program
- Develop a systematic approach to work, the ability to synthesize information, and a commitment to precision and rigor.
Expertise and Skills
The skills acquired during the three-year bachelor's degree program in mathematics provide students with in-depth knowledge of mathematics, enabling them to pursue various master's programs focused on fundamental mathematics, teaching, or applied mathematics.
The second year of the bachelor's degree program is a key step in developing these skills.
Program
The academic year is divided into two semesters:
Semester 1:
- Algebra III: Reduction of Endomorphisms (6 ECTS)
- Analysis III: Integration and Elementary Differential Equations (6 ECTS)
- Polynomial Arithmetic (3 ECTS)
- Probability (5 ECTS)
- Elementary Numerical Analysis (3 ECTS)
- English (2 ECTS)
- 1 additional course unit depending on whether the minor is in computer science or physics
Semester 2:
- Algebra IV: Euclidean Spaces (6 ECTS)
- Analysis IV: Sequences of Functions, Power Series, Fourier Transforms (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 creditsCHOICE 1
5 creditsChoose one of the following two options:
Object-Oriented Modeling and Programming 1
5 creditsOPTION 2
5 creditsChoose 2 out of 2
Oral Math Exam
1 creditThermodynamics 2
36h
Elementary Numerical Analysis
3 creditsASTRE's Scientific Approach to the Ecological Transition
2 credits
English S4
2 creditsAnalysis IV: Function Sequences, Power Series, Fourier Series
8 creditsTopology of R^n and Functions of Several Variables
5 creditsAlgebra IV: Euclidean Spaces
6 creditsStatistics
3 creditsNumerical Linear Algebra
4 creditsMaster's in Mathematics
2 credits
Admission
Admission Requirements
Applications can be submitted through the following platforms:
- French and European students: Follow the application process on the University of Montpellier's e-candidat portal: 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 the first year of the CUPGE program or the first year of the Mathematics bachelor's degree program at the University of Montpellier.
Mandatory Prerequisites
Have completed a first-year science degree, preferably with a focus on mathematics
Recommended Prerequisites
A solid foundation in introductory linear algebra and real analysis at the first-year undergraduate level.