Objectives of Programme's Learning Outcomes

• Understand "elementary" mathematics profoundly
• Understand one- and several-variable differential and integral calculus
• 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

At the end of the instruction, the students will be able to manipulate the fundamental concepts and techniques of modern mathematical analysis, to have some autonomy in using them as well as an ability to manipulate the formalism and to put it in relation with more intuitive data (drawings, drafts of computations,...).

Content of UE

Continuity (including the - definition) and derivability of functions of one real variable, Rolle's Theorem and the mean value theorem, Taylor expansions (with differential remainder), linear ordinary differential equations.

Prior Experience

Convergence of sequences, supremum, infimum.

Type of Assessment for UE in Q2

• Written examination

Q2 UE Assessment Comments

The mark of this evaluation becomes the mark of the program component.

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

The mark of this evaluation becomes the mark of the program component.