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
• 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.
• Solve new problems
• Abstract and manipulate theories and use these to solve problems
• Adapt an argument to a similar situation

Learning Outcomes of UE

Understand the theorical aspects of the course and use them in the context of exercices.

Content of UE

Convergence of sequences of functions.
Fourier serie and transform.
Hilbert space.
Introduction to the theory of distributions.

Prior Experience

Linear algebra: vector space, base, linear application.
Real analysis: convergence of sequences and series of real numbers, one variable differential and integral calculus.
Complex analysis: Residue theorem

Type of Assessment for UE in Q1

• Written examination

Q1 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

• N/A

Q1 UE Resit Assessment Comments (BAB1)

Not applicable