Objectives of Programme's Learning Outcomes

• Understand the fundamentals of computer science
• Use the vocabulary and the correct mathematical reasoning to formulate and solve problems in the field of computer science
• Understand the fundamentals related to scientific methods
• Develop skills of abstraction and modelling through a conceptual and scientific approach
• Conduct rigorous reasoning based on scientific arguments

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 ε-δ 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

To be comfortable with the convergence of sequences (in particular with the ε-n definition) and with the notions of supremum and infimum.

Type of Assessment for UE in Q2

• Written examination

Q2 UE Assessment Comments

Single exam for the whole UE.

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

Single exam for the whole UE.