Mathematics for Signals and Systems

3 ECTS credits
84 h study time

Offer 1 with catalog number 1019070BNR for all students in the 1st semester at a (B) Bachelor - advanced level.

Semester

1st 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 'Wiskunde voor Signalen en Systemen' moet men geslaagd zijn voor 'Basiswiskunde' of 'Toegepaste analyse'.

Taught in

Dutch

Faculty

Faculteit Ingenieurswetenschappen

Department

Industriële ingenieurswetenschappen

Educational team

Thibaut Vandervelden
An Braeken (course titular)

Activities and contact hours

18 contact hours Lecture
12 contact hours Seminar, Exercises or Practicals

Course Content

Lecture:
This course aims to introduce more advanced methods of mathematical analysis that are used in engineering sciences. The methods are introducted by means of examples and applications of systems theory and signal and image processing. The following topics are covered:

Differential equations
Convolution
Laplace transformation
Fourier transformation
Z-transformation

The courses will be organised following the flipped classroom principle:
1. All lectures are available as a video recording on Canvas.
2. The students watch the video recordings in advance, according to the instructions in the learning guide.
3. During joint sessions, the subject matter is discussed and, where necessary, further explained or expanded upon.

Practical exercises:
During the practical exercise sessions, thestudents solve under guidance problems of a direct application of the concepts and methods learned in the lecture.

Course material

Course text (Required) : Wiskunde Signalen en Systemen, Braeken - Runacres, VUB, 2220170003726, 2017
Handbook (Recommended) : Schaum's Outline of Advanced Mathematics for Engineers and Scientists, M.R. Spiegel, McGraw-Hill, 9780071635400, 2009
Handbook (Recommended) : Advanced Engineering Mathematics., E. Kreyszig, 10de, John Wiley&Son, 9780470646137, 2011
Handbook (Recommended) : Wiskunde voor het hoger technisch onderwijs, Deel 2, L. Papula, 2de druk, Academic Service, 9789039526484, 2011
Course text (Required) : Wiskunde Signalen en Systemen, Oefeningen, A. Braeken, VUB, 2220170003733, 2017

Additional info

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_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: can solve ordinary differential equations (BaLO 1, 2)
D2: can perform convolution in one dimension (BaLO 1)
D3: can perform the Fourier Transform (BaLO 1)
D4: understands the basic properties of the Fourier Transform (BaLO 1)
D5: can execute Laplace and inverse Laplace transform (BaLO 1)
D6: understands the basic properties of Laplace transform (BaLO 1)
D7: can perform Z-transform and inverse Z-transform (BaLO 1)
D8: understands the basic properties of Z-transform (BaLO 1)

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

AD2: communicates in Dutch in a comprehensible and structured manner (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:
Lecture: written exam: 40% (not transferred to 2nd session)
Practical exercises: written exam of exercises: 40% (not transferred to 2nd session)
Evaluation of exercises/ tasks performed: 20% (transferred to 2nd session if 10/20 or more)
Exam time 2nd session:
Lecture: written exam: 40%
Practical exercises: written exam of exercises: 40% or 60% (if points of exercises are not transferred to 2nd session)

When achieving a result of less than 8 out of 20 on one of the parts, then the lowest number becomes the final result for this course.

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