3 ECTS credits
90 h study time

Offer 1 with catalog number 1020562ANR for all students in the 2nd semester at a (A) Bachelor - preliminary level.

Semester
2nd semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Taught in
Dutch
Faculty
Faculty of Sciences and Bioengineering Sciences
Department
Mathematics
Educational team
Ann Dooms (course titular)
Carlo Emerencia
Activities and contact hours
15 contact hours Lecture
15 contact hours Seminar, Exercises or Practicals
Course Content

Our society is completely digitized and therefore mathematics finds its way, more than ever before, in our daily lives.

The technological revolution completely changed how we look at and interact with the world around us: searching the web, online banking, taking pictures, watching television, etc.

To enable these services, data has to be measured and manipulated in order to obtain the desired result or the required information. The digitalization allows us to do so in a more robust, flexible and cheaper means than its analogue counterparts. The word “digital” is derived from the Latin word digitus, meaning finger, and refers to finger counting. Data and data transport is termed digital if it can only take a discrete number of values. Now, to represent, analyse and communicate data digitally, without information loss, we need to make use of deep mathematical results.

 

Content Overview

- Measuring and representing digital data

- Signal models

- Signal reconstruction

- Analysis of digital data

- Communication of digital data

The underlying mathematical concepts are (infinite-dimensional) normed vector spaces, Hilbert spaces, orthonormal bases, DFT, DWT and frames.

Course material
Digital course material (Required) : Slides in PDF formaat
Additional info

NA

Learning Outcomes

General competences

The student will have to be acquainted with the mathematical formalisms, know the mathematical concepts and be able to apply the techniques and methods from the course.

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:

  • Examen andere with a relative weight of 1 which comprises 100% of the final mark.

Additional info regarding evaluation

Exam parts:

  • Exam Theory: 50% of the final mark.
  • Exam Practical exercises: 50% of the final mark.

Both exam parts are equally important. Absence on one part of the exam, implies absence for the whole exam.

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

This offer is part of the following study plans:
Bachelor of Business Economics: Minor Minor Education (only offered in Dutch)
Bachelor of Computer Science: Default track (only offered in Dutch)
Bachelor of Political Science and Sociology: - afstudeerrichting sociologie, minor onderwijs (only offered in Dutch)
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)
Master of Teaching in Social Sciences: politieke wetenschappen en sociologie (90 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: biologie (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: geografie (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: chemie (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: fysica (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: computerwetenschappen (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: ingenieurswetenschappen (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Economics: standaard traject (90 ECTS, Etterbeek) (only offered in Dutch)