Numerical Methods

3 ECTS credits
84 h study time

Offer 1 with catalog number 1019077CNR for all students in the 2nd semester at a (C) Bachelor - specialised level.

Semester

2nd semester

Enrollment based on exam contract

Impossible

Grading method

Grading (scale from 0 to 20)

Can retake in second session

Yes

Enrollment Requirements

Alvorens men een inschrijving kan nemen voor 'Numerieke technieken' moet men geslaagd zijn voor 'Wiskunde voor signalen en systemen' en 'Toegepaste analyse'.

Taught in

Dutch

Faculty

Faculteit Ingenieurswetenschappen

Department

Industriële ingenieurswetenschappen

Educational team

Tim De Troyer
Aurélie Bellemans (course titular)
Georgios Rekkas Ventiris

Activities and contact hours

15 contact hours Lecture
15 contact hours Seminar, Exercises or Practicals

Course Content

Lectures:

This course reviews the basic principles of numerical computation, i.e. how to perform mathematical operations such as deriving, integrating, solving linear systems etc on a computer through numerical algorithms.
The course is made up of the following parts:

basic principles of numerical analysis
solving non-linear equations
solving systems of linear equations
representation, interpolation and approximation of functions of one or more variables
numerical differentiation and integration
numerical solution of ordinary differential equations

Practical exercises:

During the practical exercise sessions students solve problems under supervision.

The selected problems are a direct application of knowledge and concepts gained in the lectures.

Course material

Course text (Required) : Numerieke Technieken, Runacres - De Troyer, VUB, 2220170007793, 2020
Handbook (Recommended) : Applied Numerical Analysis, Using Matlab, L. v. Fausett, 2de, BIB, 9780132397285, 2007
Handbook (Recommended) : Applied Numerical Methods with MATLAB for Engineers and Scientists, S. C. Chapra, 4de, McGraw-Hill Higher Education, 9781260083255, 2017
Digital course material (Required) : Matlab code voor een aantal voorbeelden en toepassingen, M. Runacres

Additional info

The lectures are organized according the 'flipped classroom' principle:

1) All lectures are videotaped and made available as a video recording on Canvas
2) Students view certain video recordings beforehand, according to instructions in the learning guide on Canvas
3) During joint sessions with the professor, the subject matter is treated interactively and, where necessary, further explained or deepened.

Description tutoring: after class, by appointment or via e-mail.

Learning Outcomes

Learning outcomes

BaLO_1 To possess in-depth, application-oriented knowledge, understanding and practical skills related to mathematics and science, directed towards engineering applications.
BaLO_2 To possess application-oriented knowledge, understanding and skills about engineering sciences and engineering techniques.
BaLO_3 To solve practical engineering problems from an understanding of the basic theory and from an understanding of basic methods for the schematisation and modelling of processes or systems.
BaLO_8 To demonstrate a research attitude: accuracy, critical reflection, scientific and technical curiosity, justification of choices.
BaLO_9 To demonstrate an engineering attitude: attention to planning, to technical, economic and societal factors as well as managerial implications, assessment of the risks and feasibility of the proposed approach or solution, being result-driven and achieving effective solutions, innovative thinking.
BaLO_10 To correctly handle the scientific and discipline-specific terminology in language relevant to the programme.
BaLO_11 To present and communicate the results of technical and scientific work, in writing, orally and visually.
BaLO_13 To act in an ethical and socially responsible manner with attention to technical, economic, human and sustainability aspects.

Objectives

D1: has insight in the possibilities and limitations of numerical computations (BaLO 1, 2, 3, 8)

D2: can solve nonlinear equations numerically (BaLO 1, 2, 3, 8)

D3: can solve systems of linear equations numerically (BaLO 1, 2, 3, 8)

D4: can derive and integrate functions numerically (BaLO 1, 2, 3, 8)

D5: can approximate functions numerically (BaLO 1, 2, 3, 8)

D6: can numerically solve linear differential equations (BaLO 1, 2, 3, 8)

D7: has insight in the numerical solution of partial differential equations (BaLO 1, 2, 3, 8)

AD1: reasons and acts in a structured and systematic manner (BaLO 9)

AD2: communicates in understandable and well-structured Dutch (BaLO 10, 11)

AD3: develops a professional attitude (BaLO 9, 10, 13)

Grading

The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.

Within the Other Exam category, the following assignments need to be completed:

Other Exam with a relative weight of 100 which comprises 100% of the final mark.

Note: Exam time 1st session:
Practical exercises: evaluation of the assignments: 20 % (not transferred to the 2nd session)
Lectures and practical exercises: written exam on PC: 80% (not transferred to the 2nd session)
Exam time 2nd session:
Lectures and practical exercises: written exam on PC: 100%

Additional info regarding evaluation

Not applicable.

Allowed unsatisfactory mark

The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context