Bachelor's degree Applied Mathematics and Social Sciences
- Sciences and engineering
- Management, Economics, Communication
Entry requirements
General high school diploma with options and specialisations in mathematics, specialisation in economics appreciated as a complement, with:
- skills for mathematical reasoning
- an interest in economic sciences
(For students from the old high school diploma programme, prior to 2021, Bac S or ES specialising in Mathematics).
Benefits of the program
Key features of the degree:
- Small class sizes for individual support
- Two disciplines
- Wide range of Master’s degrees available after the Licence degree
- Reorientation possibilities
- A modern language throughout the programme
- Possibility of a work placement in L3 (year 3)
Acquired skills
Skills in mathematics and economics (possibly including other skills in social science).
- Mathematics: Logical reasoning, modelling, analytical and numerical skills, algebra, probability and statistics.
- Economics: Micro and macro economics, general knowledge of economics and management (econometrics, management, human resources, international economics, accounting).
Computer Science: Use of IT tools (spreadsheets), statistical software (R, SAS), programming skills (Python).
International
Students can spend part of their degree course abroad through exchange programmes (Erasmus+, BCI, MICEFA, bilateral agreements) from the 4th semester for Erasmus+, and from year three for the others.
Capacities
Licence 1 : 60
Licence 2 : 50
Licence 3 : 40
Course venue
Your future career
Continuing studies at Université Gustave Eiffel:
- Master's degree in Actuarial Science
- Master's degree in Data Analysis
Other opportunities at Université Gustave Eiffel or elsewhere (sometimes requiring a change of studies during the programme):
- Master's degree in economics (particularly quantitative economics)
- Master's degree in applied mathematics
- Master's degree in accounting and auditing
- Master's degree in management
- Master's degree in banking
- Teaching professions
Professional integration
The main aim is pursue a Master's degree. Skills in economics and the work placement will enable students to start developing a career plan.
Study objectives
Give students all the skills they need to successfully pursue a Master’s degree in Economics and Applied Mathematics.
Major thematics of study
Mathematics and Economics
Calendar
Work placement possible at the end of L3 (year 3) (minimum 2 months).
Options
The main purpose of the options is to guide and strengthen the student's career path, either towards mathematics or towards economics and/or management.
They also allow students to continue studying a foreign language.
Semester 1
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Mathématiques | ||||
|
Calcul Différentiel et Intégral
The approach of this course is practical: building on the knowledge acquired in high school, the aim is to apply the basic techniques of analysis. Topics covered: Complex numbers; Common functions; Calculation of limits; Derivation and study of functions; Calculation of integrals; Solving differential equations.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Méthodologie des mathématiques
The aim of this course is to acquire the mathematical method, which is based on the unambiguous definition of concepts, the formulation of conjectures, the statement of mathematical propositions and their demonstration using logic based on more elementary propositions. To achieve this, learning and mastering the language of mathematics (discourse, syntax, objects, variables) is fundamental. In particular, this course consolidates (or introduces) the following notions: rudiments of logic (quantifiers, modes of reasoning), sets, applications, binary relations.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
| Sciences économiques et sociales | ||||
|
Introduction à l’économie
This course is an introduction to economic analysis. The aim of the course is to present the microeconomic, macroeconomic and historical aspects of economic analysis.
Teaching language FRANÇAIS / FRENCH | 4.5 | 21h | 15h | |
|
Introduction à la sociologie
The aim is to introduce students to the discipline of sociology, with which economics and management interact. We begin by situating the formation of sociology within a broader panorama of the emergence of the social sciences. We then look at certain aspects of the discipline: how the individual increasingly manifests himself in social functioning, both as a norm and as an expression of demands for recognition of his individuality; how organizations, while needing to formalize and constrain behavior, see the development of informal functioning that is difficult to control; how work, while constantly the object of management efforts to organize, sees employees deploying real work that often differs from prescribed work, and expressing more autonomous expectations with regard to this work.
Teaching language FRANÇAIS / FRENCH | 4.5 | 18h | 15h | |
| Ouverture | ||||
|
Anglais 1
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.
Teaching language ANGLAIS / ENGLISH | 3 | |||
|
Introduction à Python
Teaching language FRANÇAIS / FRENCH | 3 | 24h | ||
|
Réchauffement climatique, biodiversité, pollutions
Between now and 2050, we face a dual challenge: to act to combat global warming, and to adapt to its consequences. To meet this challenge, we need to understand the issues at stake, identify possible levers of action and quantify the impact of possible solutions. We'll describe how the Earth's climate works, the impact of human activity on climate and biodiversity, the need for an energy transition, and quantify possible individual and collective solutions to mitigate global warming. You'll familiarize yourself with the relevant units and orders of magnitude (kWh, tons of CO2 equivalent, etc.), and make simple practical calculations (how much will sea levels rise if the “Glacier of the Apocalypse” melts?). You'll use a variety of media to build your general knowledge, understanding the notions of information source, information verification and conflict of interest
Teaching language FRANÇAIS / FRENCH | 3 | 15h | 15h |
Semester 2
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Mathématiques | ||||
|
Suites numériques et Fonctions réelles
Real numbers: integer part, upper bound, density of rationals and irrationals in the reals; Real sequences: basic notions, definition of the limit of a sequence, special sequences, Bolzano-Weierstrass theorem; Real functions: definition of the limit at a point, continuity, intermediate value theorem, image of an interval by a continuous function, uniform continuity, lipschitzian functions; Derivatives of real functions: definition, local extremum and critical point, Rolle's theorem, mean value theorem, Taylor formulas.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Algèbre linéaire 1
The course of Linear Algebra consists of three chapters. The first chapter defines the vector spaces, the bases, and introduces the notion of dimension.Then we deal with linear applications: kernel, image, rank, projectors. The last chapter is about matrices: their links to linear applications, base change, and linear systems.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
| Sciences économiques et sociales | ||||
|
Macroéconomie 1
- Measuring the crisis - Cycles and shocks - Cyclical behavior of aggregates - Macroeconomic sequences - Factual complements on cycles - Introduction to the macro of unemployment - Introduction to macro policies and models o A- Closed economy o B - Open economy - Practice of the policy mix - Fiscal policy - Monetary policy
Teaching language FRANÇAIS / FRENCH | 4.5 | 27h | 15h | |
|
Microéconomie 1
The general aim of this course in moral and political microeconomics is to provide a pluralistic presentation of the fundamentals of microeconomics, through, for example, the opposition between liberal equilibrium and post-liberal equilibrium of perfect competition, or between the capitalist firm and the self-managed firm. The aim is to develop a critical understanding of basic economic mechanisms, as opposed to their usual scientistic presentation.
Teaching language FRANÇAIS / FRENCH | 4.5 | 27h | 15h | |
| Ouverture | ||||
|
Anglais 2
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.
Teaching language ANGLAIS / ENGLISH | 3 | 15h | ||
|
Statistiques informatique
Teaching language FRANÇAIS / FRENCH | 3 | 8h | 12h | |
|
Comptabilité générale 1 - Choix 1
Understand the fundamental principles of accounting. Learn to master accounting techniques by applying the rules of the general chart of accounts.
Teaching language FRANÇAIS / FRENCH | 3 | 24h | 16.5h | |
|
Enjeux du management des organisations - Choix 2
Understand the definition and implementation of a company's general policy At the end of this course, students will be able to: - describe a company and its general policy - understand the relationship between a company's general policy and its environment - describe the strategies chosen by companies - discuss the advantages and disadvantages of companies' strategic choices.
Teaching language FRANÇAIS / FRENCH | 3 | 24h | 16.5h |
Semester 3
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Mathématiques | ||||
|
Suites, séries, intégrales
Study of numerical sequences and series.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Algèbre linéaire 2
Déterminants, endomorphisms réduction , euclidian spaces.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
| Économie | ||||
|
Microéconomie 2
Teaching language FRANÇAIS / FRENCH | 4.5 | 27h | 15h | |
|
Macroéconomie 2
Teaching language FRANÇAIS / FRENCH | 4.5 | 27h | 15h | |
| Ouverture | ||||
|
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 | 15h | ||
|
Approfondissement Python
Teaching language FRANÇAIS / FRENCH | 3 | 24h | ||
|
Option S3
| ||||
|
Comptabilité générale 2
Teaching language FRANÇAIS / FRENCH | 3 | 18h | 15h | |
|
Préparation PIX
Teaching language FRANÇAIS / FRENCH | 3 | 20h | ||
|
Travail Personnel Encadré Maths
Teaching language FRANÇAIS / FRENCH | 3 | 4h | ||
|
LV2 S3
| 3 | |||
|
UE Libre
UE choisie par l'étudiant parmi l'offre de l'université , sous réserve de l'accord du responsable de formation.
| 3 |
Semester 4
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Mathématiques | ||||
|
Probabilités
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 séries 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 | 3 | 12h | 18h | |
| Économie | ||||
|
Microéconomie de l’information
Teaching language FRANÇAIS / FRENCH | 3 | 18h | 15h | |
|
Macroéconomie 3
Teaching language FRANÇAIS / FRENCH | 3 | 27h | 15h | |
| Ouverture | ||||
|
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 | 15h | ||
|
Bases de données (SAS, SQL)
Teaching language FRANÇAIS / FRENCH | 3 | 12h | 12h | |
|
Option S4
| ||||
|
Politiques économiques et sociales
Teaching language FRANÇAIS / FRENCH | 3 | 24h | 16.5h | |
|
Comptabilité analytique
Teaching language FRANÇAIS / FRENCH | 3 | 18h | 15h | |
|
Travail Personnel Encadré Probas-Stats
Teaching language FRANÇAIS / FRENCH | 3 | 4h | ||
|
LV2 S4
| 3 | |||
|
UE Libre
UE choisie par l'étudiant parmi l'offre de l'université , sous réserve de l'accord du responsable de formation.
| 3 |
Semester 5
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Apprendre et analyser l’incertain | ||||
|
Méthodes mathématiques et probabilités
Bases de la théorie de la mesure (intégrale de Lebesgue, théorèmes de convergence, intégrales à paramètres et multiples) et compléments de probabilités (indépendance, lois usuelles, fonction caractéristique, loi des grands nombres, théorème de la limite centrale).
Teaching language FRANÇAIS / FRENCH | 9 | 36h | 54h | |
|
Traitement statistique de l'information
Statistiques descriptives univariées et bivariées, modèle linéaire et économétrie avec le logiciel R
Teaching language FRANÇAIS / FRENCH | 4.5 | 18h | 24h | |
| Concepts en économie : Apprendre et analyser | ||||
|
Théorie des jeux et calcul économique
Teaching language FRANÇAIS / FRENCH | 4.5 | 18h | 11h | |
|
Croissance
Présentation des principaux déterminants de la croissance économique en explicitant les mécanismes théoriques sous-jacents et leurs évaluations empiriques.
Teaching language FRANÇAIS / FRENCH | 3 | 18h | 16.5h | |
| Développer une vision pluridisciplinaire | ||||
|
LV 1 Anglais
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 | ||
|
Choix 1 ou 2 UE
| ||||
|
Mathématiques numériques avec Python
Représentation machine des nombres réels, intégration numérique, interpolation, résolution d’équation non linéaire (méthodes de dichotomie et Newton), méthodes d’Euler pour les EDO.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Initiation au marketing
Ce cours a pour objectif d'aborder les différentes étapes du marketing (analyse du marché, marketing stratégique, marketing opérationnel) à travers d'études de cas.
Teaching language FRANÇAIS / FRENCH | 3 | 18h | 16.5h | |
|
Droit du travail
Acquisition des notions de base en droit des relations individuelles du travail. L’objectif de ce cours est de présenter une introduction à la fois simple et exhaustive du droit du travail français. Il s’accompagne de cours de méthodologie concernant deux exercices juridiques fondamentaux : La fiche d’arrêt, Le cas pratique.
Teaching language FRANÇAIS / FRENCH | 3 | 18h | ||
|
Algèbre linéaire numérique et optimisation
Résolution des systèmes linéaires par des méthodes directes (Gauss, factorisation LU, factorisation de Cholesky) et par des méthodes itératives (méthodes itératives linéaires, Ja-cobi, Gauss-Seidel). Optimisation numérique (méthodes de gradient et méthode de Newton). Algorithme de la puissance pour le calcul des valeurs propres, méthodes des moindres carrés.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Economie du développement
Introduction aux défis que posent la pauvreté et les inégalités aux pays en développement, en montrant comment de nombreux enjeux de développement tels que les migrations internationales, la croissance agricole ou démographique se heurtent aux défaillances des marchés entre autres de l’assurance et du crédit.
Teaching language FRANÇAIS / FRENCH | 3 | 15h | ||
|
TPE Maths-Economie-Anglais
Travail personnel encadré sur un sujet d'économie quantitative réalisé en Anglais
Teaching language ANGLAIS / ENGLISH | 3 | |||
|
Stage
Stage en entreprise d'une durée de deux mois minimum
| 6 | |||
|
UE libre
UE choisie par l'étudiant parmi l'offre de l'UPEM, sous réserve de l'accord du responsable de l'année.
| 3 |
Semester 6
| Courses | ECTS | CM | TD | TP |
|---|---|---|---|---|
| Concepts en statististiques : Apprendre et analyser | ||||
|
Statistiques
Statistique paramétrique : estimation, consistance des estimateurs, intervalle de confiance et test.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
| Concepts en économie : Apprendre et analyser | ||||
|
Etude et expertise du marché du travail
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 12h | |
|
Etude et expertise du développement économique
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 12h | |
|
Finance de marché
Présentation du système financier (finance directe et indirecte), de ses principaux acteurs et des principaux marchés (comptant, à terme et dérivé). Description du modèle d'évaluation d'actif (MEDAF) ainsi que de la théorie financière à travers l'hypothèse d'efficience des marchés et ses conséquences, en lien avec le comportement des investisseurs (spéculation,couverture,arbitrage) et leur rationalité.
Teaching language FRANÇAIS / FRENCH | 3 | 15h | 15h | |
| Développer une vision pluridisciplinaire | ||||
|
LV 1 Anglais
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 | ||
|
Choix 1 ou 2 UE
| ||||
|
Mathématiques numériques avec Python
Représentation machine des nombres réels, intégration numérique, interpolation, résolution d’équation non linéaire (méthodes de dichotomie et Newton), méthodes d’Euler pour les EDO.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Initiation au marketing
Ce cours a pour objectif d'aborder les différentes étapes du marketing (analyse du marché, marketing stratégique, marketing opérationnel) à travers d'études de cas.
Teaching language FRANÇAIS / FRENCH | 3 | 18h | 16.5h | |
|
Droit du travail
Acquisition des notions de base en droit des relations individuelles du travail. L’objectif de ce cours est de présenter une introduction à la fois simple et exhaustive du droit du travail français. Il s’accompagne de cours de méthodologie concernant deux exercices juridiques fondamentaux : La fiche d’arrêt, Le cas pratique.
Teaching language FRANÇAIS / FRENCH | 3 | 18h | ||
|
Algèbre linéaire numérique et optimisation
Résolution des systèmes linéaires par des méthodes directes (Gauss, factorisation LU, factorisation de Cholesky) et par des méthodes itératives (méthodes itératives linéaires, Ja-cobi, Gauss-Seidel). Optimisation numérique (méthodes de gradient et méthode de Newton). Algorithme de la puissance pour le calcul des valeurs propres, méthodes des moindres carrés.
Teaching language FRANÇAIS / FRENCH | 6 | 24h | 36h | |
|
Economie du développement
Introduction aux défis que posent la pauvreté et les inégalités aux pays en développement, en montrant comment de nombreux enjeux de développement tels que les migrations internationales, la croissance agricole ou démographique se heurtent aux défaillances des marchés entre autres de l’assurance et du crédit.
Teaching language FRANÇAIS / FRENCH | 3 | 15h | ||
|
TPE Maths-Economie-Anglais
Travail personnel encadré sur un sujet d'économie quantitative réalisé en Anglais
Teaching language ANGLAIS / ENGLISH | 3 | |||
|
Stage
Stage en entreprise d'une durée de deux mois minimum
| 6 | |||
|
UE libre
UE choisie par l'étudiant parmi l'offre de l'UPEM, sous réserve de l'accord du responsable de l'année.
| 3 |