If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Course Code : | 1014FTIWIS |

Study domain: | Mathematics |

Academic year: | 2020-2021 |

Semester: | 2nd semester |

Sequentiality: | The student has passed 1-Mathematics (1001FTIWIS) |

Contact hours: | 34 |

Credits: | 3 |

Study load (hours): | 84 |

Contract restrictions: | Exam contract not possible |

Language of instruction: | Dutch |

Exam period: | exam in the 2nd semester |

Lecturer(s) | Paul Levrie Rudi Penne Maggy Goossens Annelies Fabri Stijn Dierckx |

At the start of this course the student should have acquired the following competences:

an active knowledge of

- competences corresponding the final attainment level of secondary school

an active knowledge of

- Dutch

- English

The Wolframalpha website and other internet sources will be used - in English.

- general knowledge of the use of a PC and the Internet

- You are familiar with the special mathematical engineering functions, like the Heaviside step function and the Dirac delta function. (BE1)
- You know the definition and the properties of the Laplace transform. (BE1)
- You understand the principle of a linear system and how its functioning is presented by a transfer function. With regard to this you understand the meaning of the convolution product. (BE1)
- You are able to use the Laplace transform while solving various engineering problems. (BE2)
- You know the definition of an orthogonal family of functions in an interval. You understand how a function in an interval can be projected on the members of this orthogonal family. (BE1)
- For a given orthogonal family, you are able to write a function or approximate a function by using coefficients with respect to this basis. (BE1)
- You know the definition of the real and the complex Fourier series of a periodic function, you can establish and present them using the discrete frequency spectra. (BE1)
- You understand the consequences of continuity properties and symmetries of a given periodic function for its Fourrier series. More specifically, you are able to establish the Fourier series for a suitable periodical continuation of a given continuous function in an interval. (BE1)
- You are able to use the program Matlab while solving various engineering problems. (BE2)

The function of Heaviside and Dirac's delta function, with applications.

The Laplace transform and its properties. Applications of the Laplace transform, including the solution of (systems of) differential equations.

The definition and the interpretation of the convolution product, including the convolution theorem.

The concept of orthogonality for functions in an interval. The decomposition of a function w.r.t an orthogonal family of functions in an interval.

Fourier series: definition and calculation methods for periodic and non-periodic functions.

The Fourier transform with properties.

Class contact teachingLectures Practice sessions Laboratory sessions

Personal workExercises

Personal work

Matlab tests

Examination

Continuous assessment

Sheet with formulas, Blackboard.

Levrie, P. & Penne, R. (2020) *Course notes*, Cursusdienst Campus Groenenborger (Universitas) as of February.

Annaert, K., Fabri, A. (2020) *Coursetext 4-Matlab.* Cursusdienst Campus Groenenborger (Universitas) as of February.

Hahn, B.D., Valentine D. (2016). Essential MATLAB for Engineers and Scientists, sixth edition. Elsevier. ISBN 9780081008775. (available at a common bookstore)

http://www.wolframalpha.com

Slides for 4-Mathematics (Daems-Levrie-Penne), available on Blackboard.

You can contact the lecturers of this course (listed at the top of this document) using e-mail by combining their first and last name into

firstname.lastname@uantwerpen.be

During the weekly SOM sessions you can do math exercises in the presence of someone from the mathematics team.