
Students are able to understand the mathematical descriptions of simple real and complex signals and of simple LTI systems, in both time and frequency domains, with advantages and disadvantages; learn the mathematical techniques that allow to switch between the two representations.


Systems and Signals provides the mathematical background necessary to support the Smart Technology related courses. The first half of the course focuses on the time domain representation of signals and systems; it covers trigonometric functions, complex numbers and simple second order differential equations. The concept of Fourier series is also introduced, in preparation for the second half of the course, that focuses on the frequency domain representation. The main topic of the second half is the Laplace transform, its properties and its application to the study of simple interconnections of systems and their behaviors. The topics are coordinated with the other courses in order to keep a close relationship between mathematical foundation and the application within the ST context.
This is the Systems and Signals part of module 2020000979 / 202000980  Smart Technology (BCREA) with course code 202001499 for premaster students.
If you want to enroll, please contact K. Zalewska (k.zalewskakurek@utwente.nl).
Prerequisite Knowledge
“Engineering Mathematics”, Croft, A. et al.. Essential concepts, given for granted are in the Sections 1.1, 1.2, 1.4, 1.5, 1.6, 1.8; Sections 2.1, 2.2, 2.3, 2.4; Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.8 and understanding are in Sections 10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.8; Sections 13.1, 13.2, 13.3 and Sections 19.1, 19.2. Finally, the student is expected to have a good command of the formulas and computations discussed in Section 10.7; Sections 11.1, 11.2, 11.4 and Sections 14.1, 14.2, 14.3 Sections 4.1, 4.2, 4.4.





Bachelor Creative Technology 
  Verplicht materiaalBoekA. Croft et al., “Engineering Mathematics”, 4th edition, Pearson Education, Inc, 2012. ISBN13: 9780273719779, ISBN10: 0273719777. Book for the mathematics (Systems and Signals) component 

 Aanbevolen materiaalWerkvormenColstructie
 Hoorcollege
 PracticumAanwezigheidsplicht   Ja 
 Presentatie(s)Aanwezigheidsplicht   Ja 
 Project begeleidAanwezigheidsplicht   Ja 

 ToetsenSystems and Signals Opmerkingwritten exam


 