Study programme 2020-2021Français
Introduction to numerical analysis
Programme component of Bachelor's in Mathematics à la Faculty of Science
CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B2-SCMATH-021-MCompulsory UETROESTLER ChristopheS835 - Analyse numérique
  • TROESTLER Christophe

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français305000066.00Année

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

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

Q1 UE Assessment Comments

Annual course.

Type of Assessment for UE in Q2

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

Q2 UE Assessment Comments

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).

Type of Assessment for UE in Q3

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

Q3 UE Assessment Comments

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).

Type of Resit Assessment for UE in Q1 (BAB1)

  • N/A

Q1 UE Resit Assessment Comments (BAB1)

Not applicable.

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 Reading

AA
S-MATH-208
S-MATH-865

Required Learning Resources/Tools

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

Recommended Reading

AA
S-MATH-208
S-MATH-865

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 génération : 26/09/2020
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Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be