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 sufficient knowledge of English in order to read and understand scientific texts, especially in the field of mathematics.
• Have a good knowledge of related fields using mathematics

Learning Outcomes of UE

Application of group theoretical methods in physics.

Content of UE

Finite groups and their representations, Lie groups and Lie algebras. Cartan classification. 

Prior Experience

Linear algebra.

Type of Assessment for UE in Q2

• Written examination

Q2 UE Assessment Comments

The exam consists in two parts. Part 1 (finite groups) and Part 2 (Lie groups and algebras).  If the student fails on one of the two parts, although the arithmetic mean is greater than 10/20, he/she will have to present the part where he/she failed, at the second session. 

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

Not applicable