Study programme 2022-2023Français
Introduction to Numerical Analysis
Programme component of Bachelor's in Computer Science (MONS) (day schedule) à la Faculty of Science

CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B3-SCINFO-015-MOptional UETROESTLER ChristopheS835 - Analyse numérique
  • TROESTLER Christophe

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français305000088.00Année

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-208Introduction to Numerical Analysis3040000Q1
S-MATH-865Numerical Analysis: Practical Work010000Q2

Overall mark : the assessments of each AA result in an overall mark for the UE.
Programme component
Corequis

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
    • Use and combine knowledge from different disciplines to solve multidisciplinary problems
  • Manage IT projects
    • Creatively implement knowledge and expertise gained in the field of computer science.
    • Demonstrate independence and their ability to work in teams.
  • 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
  • Understand the fundamentals of communication
    • Communicate a consistent and rigorous scientific argument, either orally or in writing

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.

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 lanbguage.  Ability to perform rigorous and precise reasonings.

Type(s) and mode(s) of Q1 UE assessment

  • N/A - Néant

Q1 UE Assessment Comments

Annual course.

Method of calculating the overall mark for the Q1 UE assessment

Not applicable

Type(s) and mode(s) of Q1 UE resit assessment (BAB1)

  • N/A - Néant

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

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

Not applicable

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

  • Oral examination - Face-to-face
  • Practical exam - Face-to-face

Q2 UE Assessment Comments

None.

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 have at least 8/20 to 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).

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

  • Production (written work, report, essay, collection, product, etc.) - To be submitted online
  • Oral examination - Face-to-face

Q3 UE Assessment Comments

Not applicable

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 have at least 8/20 to 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).

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-MATH-208
  • Cours magistraux
  • Travaux pratiques
  • Projet sur ordinateur
S-MATH-865
  • Travaux pratiques
  • Projet sur ordinateur

Mode of delivery

AAMode of delivery
S-MATH-208
  • Face-to-face
S-MATH-865
  • Face-to-face

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-208Not applicable
S-MATH-865Not applicable

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-208See the course page.
S-MATH-865Many exercises and exams are avaiable on the UMONS e-learning platform.

Other Recommended Reading

AAOther Recommended Reading
S-MATH-208Not applicable
S-MATH-865Not applicable
(*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term
Date de dernière mise à jour de la fiche ECTS par l'enseignant : 15/05/2022
Date de dernière génération automatique de la page : 20/06/2023
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Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be