Objectives of Programme's Learning Outcomes

• Have integrated and elaborate mathematical knowledge.
• Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
• Use prior knowledge to independently learn high-level mathematics.
• Read research articles in at least one discipline of mathematics.
• Skill 6: Have acquired professional skills in relation to the objective defining the degree.
• Demonstrate intuition and creativity to tackle new mathematical problems.
• Have integrated and elaborate mathematical knowledge.
• Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.

Learning Outcomes of UE

Distinguish certain physical phenomenons obeying linear and non-linear equations. Appreciate differences between such systems, namely the propagation of initial conditions, the existence of conserved quantities. Getting familiar to certain techniques of resolutions of non-linear differential equations

UE Content: description and pedagogical relevance

Introduction to equations admitting soliton type of solutions. Some methods of résolutions. Elementary methods. Backlund Transformations. Inverse scattering method. Intégrable systems.

Prior Experience

Differential equations , integrable systems