ECTS
28 credits
Component
Faculty of Science
List of courses
Your choice: 1 of 2
Profile Maths CAPES
28 creditsIntroduction to teaching
5 creditsCHOICE 1
5 creditsYour choice: 1 of 2
Stochastic modeling
5 creditsNumerical Analysis of Differential Equations
5 credits
Geometry
9 creditsComplement for the CAPES
9 credits
General Maths Profile
28 creditsTopology of metric spaces
7 creditsCHOICE 1
10 creditsChoice of 2 out of 3
Stochastic modeling
5 creditsGroups and rings 2
5 creditsConvex optimization
5 credits
Numerical Analysis of Differential Equations
5 creditsComplex Analysis
6 credits
Introduction to teaching
ECTS
5 credits
Component
Faculty of Science
- To allow students to discover the teaching profession and to learn about the didactics of mathematics
- To address some major themes in mathematics didactics using practical examples.
- Begin a change in posture on the issue of teaching mathematics and learn to ask questions related to teaching.
- Adopt a reflective posture when faced with issues related to teaching mathematics in secondary schools
- Take a step back from the mathematical content taught in secondary schools
Stochastic modeling
ECTS
5 credits
Component
Faculty of Science
This EU will allow to:
To manipulate the main results of probability from a practical point of view. Reinforce the understanding of random phenomena with numerical illustrations. To introduce simulation methods using the Monte-Carlo method for the numerical solution of integration problems or the calculation of the probability of complex events. To complete the knowledge of the main usual laws and their properties in view of the applications to inferential statistics and statistical tests approached in Master.
Numerical Analysis of Differential Equations
ECTS
5 credits
Component
Faculty of Science
Acquire basic notions in numerical methods for differential equations
Geometry
ECTS
9 credits
Component
Faculty of Science
This EU will address the following:
- Affine geometry: affine spaces, affine applications, barycenters. Affine geometry of the plane and space, classical theorems.
- Euclidean affine geometry: Euclidean affine spaces, isometries. Euclidean affine geometry of the plane and space, classical theorems, use of complexes to describe objects of the Euclidean affine plane and isometries.
- Isometries and groups.
Complement for the CAPES
ECTS
9 credits
Component
Faculty of Science
Revisit undergraduate mathematics content in a cross-disciplinary manner.
Problem solving activity: research and communication.
Topology of metric spaces
ECTS
7 credits
Component
Faculty of Science
Introduce the basic notions of topology and their use for the study of functional spaces.
Stochastic modeling
ECTS
5 credits
Component
Faculty of Science
This EU will allow to:
To manipulate the main results of probability from a practical point of view. Reinforce the understanding of random phenomena with numerical illustrations. To introduce simulation methods using the Monte-Carlo method for the numerical solution of integration problems or the calculation of the probability of complex events. To complete the knowledge of the main usual laws and their properties in view of the applications to inferential statistics and statistical tests approached in Master.
Groups and rings 2
ECTS
5 credits
Component
Faculty of Science
Convex optimization
ECTS
5 credits
Component
Faculty of Science
To acquire the basic notions of mathematical optimization and its applications.
Numerical Analysis of Differential Equations
ECTS
5 credits
Component
Faculty of Science
Acquire basic notions in numerical methods for differential equations
Complex Analysis
ECTS
6 credits
Component
Faculty of Science
Introduce the basic tools of complex analysis.