All programmes > Mathematical Systems

Mathematical Systems (B-KUL-T2AWS2)

3 ECTSEnglish36 First term
Eneman Koen (coordinator) |  Eneman Koen |  Cuyx Bram (cooperator) |  Parul Akshara (cooperator) |  Vanderloock Karen (cooperator)
OC Polyvalente Ingenieursvorming - Campus Groep T Leuven

Aims

Learning outcomes:
 

K1: Basic scientific-disciplinary knowledge and comprehension in the field of Engineering Technology

I1: Problem analysis and solving

G3: Critical thinking

 

Objectives:

  • The student can reproduce in a precise and insightful way the mathematical knowledge offered in the study material and during the lectures (K1).
  • The student has insight in the structure of and the coherence between the different parts of the learning content (K1).
  • The student has the basic mathematical knowledge necessary for use in other course units (K1).
  • The student can use the language of mathematics to formulate and solve problems accurately (K1, I1).
  • The student can define and intuitively explain the basic concepts that appear in the study material in a mathematically correct way (K1, I1).
  • The student can translate questions or problems formulated in a natural language into the language of mathematics (I1).
  • The student can explain and structure the reasoning and solution methods learned and knows their limitations (I1, G3).
  • The student can work towards the solution of a problem in logical steps, can interpret the solution correctly and reflect critically on it (I1, G3).
  • The student can perform calculations accurately, both manually and with the aid of mathematical software and/or a calculator. The outcome of a calculation is subordinate to the solution method (I1, G3).

Previous knowledge

The student is familiar with the content of the courses on Fundamentals of Mathematics and Mathematical Modelling (in particular, a good knowledge of complex numbers and linear ordinary differential equations is expected). It is also assumed that the student has basic knowledge of Dynamics and Electricity.
 

Order of Enrolment

Mixed prerequisite:
You may only take this course if you comply with the prerequisites. Prerequisites can be strict or flexible, or can imply simultaneity. A degree level can be also be a prerequisite.
Explanation:
STRICT: You may only take this course if you have passed or applied tolerance for the courses for which this condition is set.
FLEXIBLE: You may only take this course if you have previously taken the courses for which this condition is set.
SIMULTANEOUS: You may only take this course if you also take the courses for which this condition is set (or have taken them previously).
DEGREE: You may only take this course if you have obtained this degree level.


(FLEXIBLE(T1AWB1) OR FLEXIBLE(T1AWB2)) AND (FLEXIBLE(T1AWM1) OR FLEXIBLE(T1AWM2))

The codes of the course units mentioned above correspond to the following course descriptions:
T1AWB1 : Wiskundige basistechnieken
T1AWB2 : Fundamentals of Mathematics
T1AWM1 : Wiskundige modellen
T1AWM2 : Mathematical Modelling

This course unit is a prerequisite for taking the following course units:
T3WDS1 : Digitale signaalverwerking
T3WDS2 : Digital Signal Processing
T3WTD2 : Transmission of Digital Information
T3BPC1 : Procescontrole
T3BPC2 : Process Control
T2OSR1 : Systeemtheorie en regeltechniek
T2OSR2 : Systems and Control Theory
T2VSY1 : Systeemtheorie en regeltechniek
T2VAS1 : Analoge schakelingen voor signaalverwerking
T2VSY2 : Systems and Control Theory
T2VAS2 : Analog Circuits for Signal Processing

Identical courses

This course is identical to the following courses:
ZA0180 : Wiskunde voor systemen
B30745 : Wiskunde voor systemen
YI1383 : Wiskunde voor systemen
T2AWS1 : Wiskunde voor systemen
JPI0VG : Wiskunde voor systemen

Is included in these courses of study

Activities

2 ects. Mathematical Systems: Lecture (B-KUL-T2hWS2)

2 ECTSEnglishFormat: Lecture18 First term
Eneman Koen
OC Polyvalente Ingenieursvorming - Campus Groep T Leuven

Content

In this course unit, the topic "mathematical modelling" is further explored. A mathematical toolbox is provided to study the behaviour of dynamic systems (in continuous time). Therefore, this course does not only cover a number of mathematical tools, but also gives an initiation to system theory of which a more in-depth study will follow in the domain-specific part of the programme. The student can use the acquired knowledge and insights concerning signals and systems to tackle concrete engineering problems in various disciplines.

 

Contents:

  • Vector spaces, linear transformations and eigenvalue problems, with applications.
  • The Laplace transform and its inverse, with applications.
  • Initiation to the study of linear time-invariant systems (in continuous time).
  • Fourier series of periodic functions.


Remark: depending on the available time and circumstances, the listed learning content may be supplemented with capita selecta that are logically related.

Course material

A self-written course text, lecture slides, exercise manual and additional study materials are available on the electronic learning environment Toledo.

1 ects. Mathematical Systems: Exercise Session (B-KUL-T2oWS2)

1 ECTSEnglishFormat: Practical18 First term
Eneman Koen |  Cuyx Bram (cooperator) |  Parul Akshara (cooperator) |  Vanderloock Karen (cooperator)
OC Polyvalente Ingenieursvorming - Campus Groep T Leuven

Content

The exercise sessions include exercises related to the topics covered in the lectures.

Mathematical calculations are done manually and/or with the support of mathematical software and/or with the help of a calculator (possibly graphical or symbolic).

Course material

Same as for the subcourse "Mathematics for Systems: Lecture".

Evaluation

Evaluation: Mathematical Systems (B-KUL-T72081)

Type : Exam during the examination period
Description of evaluation : Written
Type of questions : Closed questions, Open questions
Learning material : Calculator, List of formulas

Explanation


Calculation of the final mark

This course has only one published component mark. Consequently, this component mark is the final mark.

 

Calculation of the published component marks

The unique published component/final mark is an integer number on a scale of 20. It expresses the evaluation of the student’s achievements based on an exam during the examination period.

 

Absences during tests and exams

In case of absence for an exam the student must contact the exam ombuds service on the day of the exam.

Additional information on the evaluation activities may be provided during the lectures and/or made available via Toledo.

Information about retaking exams

Same modalities as for the first examination session.