The Mathematics Degree offers students various curriculums based on their personal projects. Firstly, it provides the base of the mathematics programme. And secondly, during the first two years, it offers students the opportunity to study a programme that can lead them to pursue a degree in physics or in information technology. Particular attention is given during the first semester to helping students adapt to studying under the university system: organization of tutored work, ongoing assessment throughout the semester.
 
  • Aims
The Mathematics degree aims to offer students solid training in mathematics over the 6 semesters, by addressing all the fundamental aspects required of a BAC+3 mathematics programme.

The first semester, where the programme is the same for students specializing in mathematics and for those specializing in physics and chemistry, under the Science and Technology Degree, provides basic scientific training that is varied and enables students to pursue various paths at the end of the semester. The “pedagogical workshop” module (atelier pédagogique), held during the first semester, offers students personalized support to develop their autonomy, to learn to identify their areas of difficulty and to broaden their perception of different scientific fields.

Semester 2, whilst offering reinforcement in mathematics, develops the general scientific programme with physics and IT modules, which helps students choose their future paths more easily. Students develop their mathematical intuition through an option that concentrates on formal calculation tools and mathematics. At the same time, the IT option, intended more specifically for students who wish to pursue an IT curriculum, offers initiation in computer programming and in database administration.

Semesters 3 and 4 are designed around optional modules (UE - unités d'enseignements) that enable students to choose to pursue their studies through a physics or information technologies degree or to integrate an engineering school, in particular the EPU of Tours (Polytechnic School of the University of Tours). Free-choice “teaching careers” and “scientific culture” modules (Métiers de l'enseignement and Culture scientifique) help students refine their choice as regards this professional opening that is offered to them.

Semesters 5 and 6 offers students solid training in mathematics to pursue, among other choices, a Master in mathematics (in Tours, the Master offers a research curriculum: mathematical analysis and applications (AMA - analyse mathématique et applications) and a professional curriculum: secure transmission mathematics (MIMATS) and “teaching careers” for students who wish to prepare the CAPES (secondary school teaching certification) in mathematics. And finally, students must complete a traineeship during the degree to learn about the world of work.
 
  • Contents or list of themes and subjects taught
General curriculum
Semester 1 – MATHS-PHYSICS-IT (for all students)
- UE 1.1 General chemistry elements
==> Chemistry elements
==> Introduction to information technologies
- UE 1.2 Web languages and algorithmic
- UE 1.3 Mathematics
- UE 1.4 General physics elements
- UE 1.5 Pedagogical workshops
- UE 1.6 Communication tools: English + digital skills

Semester 2
- UE 2.1 Algebra 2
- UE 2.2 Analysis 2
- UE 2.3 Programme and data structure
- UE 2.4 Physics
- UE 2.5 Option – students’ choice:
− IT option
− Maths option
- UE 2.6 Personal development project
Perspective-widening EP (EP ouverture) + MOBIL EP (orientation, assessment, degree insertion)
- UE 2.7 English

Semester 3
- UE 3.1 Algebra 3
- UE 3.2 Analysis 3
- UE 3.3 Option – students’ choice:
==> EP M1 Parametric curves
==> EP M2 Digital analysis
==> EP P1 Mechanics
==> EP I1 Advanced algorithmic
- UE 3.4 Option – students’ choice:
==> EP M1 Parametric curves
==> EP M2 Digital analysis
==> EP P1 Mechanics
==> EP I1 Advanced algorithmic
- UE 3.5 Personal development project:
Perspective-widening EP (EP ouverture) + MOBIL EP (orientation, assessment, degree insertion)
- UE 3.6 English (22 hrs - 3 ECTS)

Semester 4
- UE 4.1 Algebra 4
- UE 4.2 Analysis 4
- UE 4.3 Option – students’ choice:
==> EP M3 Integration supplements
==> EP P2 Electromagnetism and relativity
==> EP I2 Databases: design
- UE 4.4 Option – students’ choice:
==> EP M3 Integration supplements
==> EP P2 Electromagnetism and relativity
==> EP I2 Databases: design I3 Analysis & programming
- UE 4.5 Personal development project:
Perspective-widening EP (EP ouverture) + MOBIL EP (orientation, assessment, degree insertion)
- UE 4.6 English

Semester 5
- UE 5.1 Integration 1
- UE 5.2 Hilbert spaces and topology
- UE 5.3 Algebra
- UE 5.4 Option
− EP O1 Complex variables
− EP O2 Elementary geometry
- UE 5.5 Personal development project:
Perspective-widening EP (EP ouverture) + MOBIL EP (orientation, assessment, degree insertion)
- UE 5.6 English

Semester 6
- UE 6.1 Integration 2
- UE 6.2 Differential calculus and differential equations
- UE 6.3 Option – students’ choice:
==> EP O3 Curves and surfaces
==> EP O4 Statistical probabilities
==> EP O5 Digital analysis
- UE 6.4 Option – students’ choice:
==> EP O3 Curves and surfaces
==> EP O4 Statistical probabilities
==> EP O5 Digital analysis
- UE 6.5 Personal development project:
Perspective-widening EP (EP ouverture) + MOBIL EP (orientation, assessment, degree insertion)
- UE 6.6 English