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
• 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
• 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
• 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
• Use knowledge from different fields to address issues
• Use computers effectively
• Understand and implement algorithms using appropriate data structures
• Use at least one programming language
• Develop computer programs to solve problems with mathematical formulation

Learning Outcomes of UE

At the end of this teaching, the students will be able to use scientific computing techniques to solve practical problems and to shed light on mathematical questions.

UE Content: description and pedagogical relevance

Numerical methods for root finding, numerical errors, linear systems, polynomial interpolation and least squares, ordinary differential equations,...

Prior Experience

Continuity and differientiability of functions of one real variable (including the assiated theorems, Taylor expansions,...) and preferably of several real variables, ability to solve linear ordinary differential equations with constant coefficients, linear algebra (linear applications, representation in a basis, linear systems,...), basic mechanics (Newton's laws).  Ability to program in at least one computer language.