Objectives of Programme's Learning Outcomes

• Skills for organising and supporting learning in an evolving dynamic.
• Understand the subject content, its epistemological foundations, its scientific and technological development, its didactics and teaching methodology.
• Understand written and spoken French in order to teach and communicate adequately in the various contexts and disciplines related to the profession.
• Understand how to integrate digital technologies into your teaching practices.
• Reflective practitioner skills.
• Gradually develop their professional identity, in particular by using personal professional development tools such as a portfolio.

Learning Outcomes of UE

 By the end of the course, students will be able to:
* Prove the existence and uniqueness (both local and global) of solutions of ordinary differential equations (ODEs);
* Solve linear non-homogeneous ODEs;
* Linearise ODEs;
* Build and implement standard numerical methods for ODEs;
* Possess an expertise in building moderately sized programs.

UE Content: description and pedagogical relevance

Cauchy problems: existence, uniqueness, linearisation, continuous dependence, matrix exponential, method of variation of constants.
Numerical methods: consistency, order, convergence
A large part of the time will be devoted to a personal or group project.

Prior Experience

Multi-variable differential and integral calculus, functional analysis, basic numerical analysis.

Type(s) and mode(s) of Q1 UE assessment

• Oral presentation - Face-to-face

Q1 UE Assessment Comments

The course takes place in both semesters with continuous assessment.

Method of calculating the overall mark for the Q1 UE assessment

Not applicable

Type(s) and mode(s) of Q1 UE resit assessment (BAB1)

• N/A - Néant

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Method of calculating the overall mark for the Q1 UE resit assessment

Not applicable

Type(s) and mode(s) of Q2 UE assessment

• Oral presentation - Face-to-face

Q2 UE Assessment Comments

The course takes place in both semesters with continuous assessment.

Method of calculating the overall mark for the Q2 UE assessment

Not applicable

Type(s) and mode(s) of Q3 UE assessment

• Oral presentation - Face-to-face

Q3 UE Assessment Comments

Not applicable

Method of calculating the overall mark for the Q3 UE assessment

Not applicable