Objectives of Programme's Learning Outcomes

• Understand "elementary" mathematics profoundly
• Understand one- and several-variable differential and integral calculus
• Use vector spaces, linear applications and the techniques associated with them
• Understand basic algebraic structures
• Manipulate previously acquired knowledge that appears in a question
• Give examples and counterexamples for definitions, properties, theorems, etc.
• Understand and produce strict mathematical reasoning
• Write clearly and concisely
• Use mathematical vocabulary and formalism appropriately
• Make sense of formal expressions
• Rely on a picture to illustrate a concept, rationale, etc.
• Collaborate on mathematical subjects
• Present mathematical results orally and in a structured manner
• Demonstrate independence and their ability to work in teams.
• Solve new problems
• Abstract and manipulate theories and use these to solve problems
• Adapt an argument to a similar situation
• Use knowledge from different fields to address issues
• Address literature and interact within other scientific fields
• Have a good knowledge of related fields using mathematics

Learning Outcomes of UE

Be able to apply the mathematical methods of analytical mechanics to problem-solving. Understanding of the key issues of symplectic geometry.

UE Content: description and pedagogical relevance

Variational principles, Lagrange, Hamilton, Hamilton-Jacobi equation, integrability and action-angle variables

Prior Experience

Differential and integral calculus, linear algebra, tensor calculus.