Objectives of Programme's Learning Outcomes

• 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
• Adapt an argument to a similar situation

Learning Outcomes of UE

At the end of this teaching, the students will be able to manipulate quantifiers in formal arguments and make sense of quantified sentences in the context of mathematical analysis.  A real depth, both for argumentation and intuition, will be developed.

UE Content: description and pedagogical relevance

Basic analysis course (convergence, devivation, topology).  See the course comonents (AA) for details.

Prior Experience

Knowing the material covered by the courses
- Mathématiques Élémentaires
- Calculus I
is an asset.

Type(s) and mode(s) of Q2 UE assessment

• Written examination - Face-to-face
• Oral examination - Face-to-face

Q2 UE Assessment Comments

None.

Method of calculating the overall mark for the Q2 UE assessment

The final mark is composed for 40% of the one of the written exam and for 60% of the one of the oral exam except if one of those marks is ≤ 7 in which case the final mark is min{0.4·E, 0.6·O} where E (resp. O) is the mark on 20 of the written (resp. oral) exam.

Type(s) and mode(s) of Q3 UE assessment

• Written examination - Face-to-face
• Oral examination - Face-to-face

Q3 UE Assessment Comments

Not applicable

Method of calculating the overall mark for the Q3 UE assessment

The final mark is composed for 40% of the one of the written exam and for 60% of the one of the oral exam except if one of those marks is ≤ 7 in which case the final mark is min{0.4·E, 0.6·O} where E (resp. O) is the mark on 20 of the written (resp. oral) exam.