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 master the basis of numerical analysis in both its mathematical and implementation aspects.  They will be able to use their knowledge to solve problems.

Content of UE

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 a single real variable (including the assiated theorems, Taylor expansions,...), 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 lanbguage.  Ability to perform rigorous and precise reasonings.

Type of Assessment for UE in Q1

• N/A

Method of calculating the overall mark for the Q1 UE assessment

Not applicable

Q1 UE Assessment Comments

Annual course.

Type of Assessment for UE in Q2

• Presentation and/or works
• Oral Examination
• Practical test

Method of calculating the overall mark for the Q2 UE assessment

The evaluation of the project is worth 15% of the final mark.  It is required to pass both the project and the oral exam.  If it is not the case, the final mark is min{0.15 P, 0.85 O} where P (resp. O) is the mark on 20 obtained at the project (resp. at the oral exam).

Q2 UE Assessment Comments

None.

Type of Assessment for UE in Q3

• Presentation and/or works
• Oral examination
• Practical Test

Method of calculating the overall mark for the Q3 UE assessment

The evaluation of the project is worth 15% of the final mark.  It is required to pass both the project and the oral exam.  If it is not the case, the final mark is min{0.15 P, 0.85 O} where P (resp. O) is the mark on 20 obtained at the project (resp. at the oral exam).

Q3 UE Assessment Comments

None.

Method of calculating the overall mark for the Q1 UE resit assessment

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

• N/A

Q1 UE Resit Assessment Comments (BAB1)

Not applicable.