Bachelor's degree Mathematics
- Campus Marne la Vallée - Champs sur Marne, Bâtiment Lavoisier
- Bâtiment Lavoisier
Entry requirements
1st Year or similar level of a graduate course in Mathematics.
Benefits of the program
The degree in Mathematics is designed to provide students with the theoretical foundations and basic knowledge in the field together with a strong grounding in Computer Science. Because of its specific nature (teaching in two fields from the first year), it is an original course offering compared to traditional preparatory classes or general science degrees, for example. By the end of undergraduate studies, it gives students a very high level of knowledge and skills in mathematics and computer science.
Acquired skills
Autonomy of reasoning, theoretical foundations necessary for abstract thought, command of fundamental concepts in analysis, algebra, probability and statistics, and geometry. Understanding and analysing a problem connected with mathematics, discussing the findings and setting up a model for a problem.
Capacities
60
Course venue
Other course venue
Bâtiment Lavoisier
Your future career
The Licence in Mathematics mainly leads to a Master’s in Mathematics, either in Pure or Applied Mathematics, or in Actuarial Science. The major engineering schools also recruit students at the end of their 3-year degree, on the basis of results and competitive examination. At Université Gustave Eiffel, we offer further study in the Mathematics and Applications Master's programme, the Careers in Teaching, Education and Training Master’s programme for those intending to go into teaching, and the Actuarial Science Master's programme.
Year 1
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Mathématiques I | ||||
|
SUITES SERIES INTEGRALES
Study of numerical sequences and series.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
ALGEBRE LINEAIRE 2
Déterminants, endomorphisms réduction , euclidian spaces.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
PROBABILITES
Description of random experiment, count. Bernouilli scheme. Discrete continuous random variables and vectors. Usual laws. Weak law of large numbers.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
SUITES ET SERIES DE FONCTIONS
1. Concepts of convergence of functions sequences and properties of their limits. 2. Series of usual functions, integer series, derivation and integration under the sum. 3. Generalized Riemann integrals, convergence criteria.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
FONCTIONS DE PLUSIEURS VARIABLES
Study of functions of several variables, extrema. Double triple integrals, Fubini, changes of variables.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
| Mathématiques 2 | ||||
|
GROUPES ET ARITHMETIQUE
This course focuses on the arithmetic of integers from an algebraic point of view. 1) integers: fundamental properties of the set of integers, Euclidean division, prime numbers, existence of decomposition into prime factors. 2) notion of group with particular attention paid to the study of the group (Z,+) 3) notions of gcd and ppcm and the results relating to them (Bezout's theorem, Euclid's lemma, Gauss' lemma, uniqueness of the decomposition into prime factors) 4) congruences (linear Diophantine equations, Chinese remainder theorem, Fermat's "small" theorem) 5) general theory of finite groups using the fundamental examples (Z/nZ, +) and ((Z/nZ)^*, x) 6) Finally, the sixth chapter defines the notion of group morphism and allows us to clarify and enrich the results of chapter 4 with a new perspective."
Teaching language FRANÇAIS / FRENCH | 4 | 12h | 24h | |
|
EQUATIONS DIFFERENTIELLES 1
Linear differential equation of order 1 and 2 with variable coefficients. Merthod of the constant variation. Linear systems of differential equations with constant coefficients.
Teaching language FRANÇAIS / FRENCH | 4 | 12h | 24h | |
|
GEOMETRIE
1. Plane geometry, triangle, circle, barycenter. 2. Use of complex numbers, affine transformations. 3. Parametric representations.
Teaching language FRANÇAIS / FRENCH | 4 | 24h | 36h | |
| INFORMATIQUE | ||||
|
BASE DE DONNEES
Use a database management system (DBMS) through an online administration interface. Know the fundamental concepts related to relational databases (Methodologies, Entity-Relationship Model, Relational Model). Use the SQL query language. Design and develop a dynamic website with access to a database in a 3-tier environment, using a server-side solution, based on HTML and PHP languages, the Apache server and the MySql DBMS. Reinforce basic programming concepts (variable, function, tables, conditional structures, loops, etc.) through the PHP language
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 12h | 24h |
|
LABO MATHS-INFO
The objective of the course is to learn how to represent and manipulate basic mathematical objects by computer, to perform algebraic and numerical calculations using the computer tool, to explore mathematical problems using the computer tool, to model and solve practical problems using mathematics and computer science. The course is organized around a series of varied problems (Mandelbrot set, cryptography, splines, calculation of usual functions, etc.) comprising a theoretical part and a practical part (programming). The mathematical concepts involved in these problems are the basic concepts seen in the first year: arithmetic, binary relations, complex numbers, sequences and functions, polynomials, linear algebra, matrices, etc. The programming part is done in Python.
Teaching language FRANÇAIS / FRENCH | 5 | 2h | 36h | |
|
PIX
The objective of this teaching entirely on a digital platform is to obtain PIX certification.
Teaching language FRANÇAIS / FRENCH | 1 | 24h | ||
| ANGLAIS | ||||
|
ANGLAIS 3
The teaching of English during the bachelor's degree aims to improve written and oral skills so that students become more autonomous. The aim is to be able to understand and communicate in future professional exchanges, as well as to be able to understand the scientific articles that they may encounter during their studies and/or professional lives. Throughout the bachelor's degree, English courses focus on providing an opening to different cultures in order to encourage exchanges between countries. Level groups are set up during the first semester to enable everyone to approach English courses in the best possible conditions. The emphasis is on oral participation thanks to a quality policy of the UFR which organises English courses in half groups.
Teaching language ANGLAIS / ENGLISH | 3 | 20h | ||
|
ANGLAIS 4
The teaching of English during the bachelor's degree aims to improve written and oral skills so that students become more autonomous. The aim is to be able to understand and communicate in future professional exchanges, as well as to be able to understand the scientific articles that they may encounter during their studies and/or professional lives. Throughout the bachelor's degree, English courses focus on providing an opening to different cultures in order to encourage exchanges between countries. Level groups are set up during the first semester to enable everyone to approach English courses in the best possible conditions. The emphasis is on oral participation thanks to a quality policy of the UFR which organises English courses in half groups.
Teaching language ANGLAIS / ENGLISH | 3 | 20h |