Objectives of general skills

• Understand "elementary" mathematics profoundly
• Understand one- and several-variable differential and integral calculus
• Understand and use the naive set theory
• 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

UE's Learning outcomes

At the end of the instruction, the students will be able to manipulate the fundamental concepts of topology as well as to perform more complicated reasonings about the objets seen in the part A & B.

UE Content

Limit and continuity in dimensions higher than 1, norm, inner product, balls, topological notions (open set, closed set, interior, adherence).  Proof and problems deepening the material of part A & B will also be tackled.

Prior experience

Parts A & B.

Term 1 for Integrated Assessment - type

• N/A

Term 2 for Integrated Assessment - type

• N/A

Term 3 for Integrated Assessment - type

• N/A

Resit Assessment for IT - Term 1 (B1BA1) - type

• N/A