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 : | 1002FTIWIS |

Study domain: | Mathematics |

Academic year: | 2020-2021 |

Semester: | 2nd semester |

Contact hours: | 44 |

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 Kris Annaert Annelies Fabri Stijn Dierckx |

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

an active knowledge of

specific prerequisites for this course

- 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

specific prerequisites for this course

Thorough knowledge of derivatives and integration techniques.

- Knowing and applying the basic concepts and characteristics concerning sequences and series of numbers, series of functions, and Taylor- and Maclaurin series. (BE1)
- Knowing and applying the basic concepts while solving differential equations. (BE1)
- Knowing how to apply a series of functions to solve numerical problems situated in other scientific disciplines. (BE2)
- Able to model problems from a different scientific discipline concerning differential equations. (BE2)
- Able to use Matlab in the context of this course. (BE2)

Ordinary differential equations: definitions.

Solution methods for solving certain types of first-order differential equations.

Linear differential equations : definition, properties related to the solution space.

Linear differential equations with constant coefficients: general solution of the homogeneous equation/particular solution /general solution.

Applications of differential equations.

Study of improper integrals, with convergence criteria.

Study of sequences and series of numbers, with convergence criteria.

Study of sequences and series of functions, with special attention for Taylor and Maclaurin series. With applications.

The course has an international dimension.

Class contact teachingLectures Practice sessions Laboratory sessions

Personal workExercises

**5.3 Facilities for working students ***

Classroom activities

Personal work

Classroom activities

- Exercise sessions: free to choose the group division
- Practica: free to choose the group division

Matlab tests.

Examination

Continuous assessment

G.Deen & P. Levrie: *Analyse voor het Hoger Onderwijs*, Uitgeverij Van In, 2011, ISBN 978 90 455 3613 2. (available at Cursusdienst Campus Groenenborger (Universitas) and at a common bookstore)

*Sheet with formulas*, Blackboard.

Levrie, P., Penne, R. (2020) *Syllabus with exercises*: Cursusdienst Campus Groenenborger

(Universitas) as of February..

Annaert, K., Fabri, A., Goossens, M. (2020) *Coursetext -2-Matlab.* Cursusdienst Campus Groenenborger (Universitas) as of February.

http://www.wolframalpha.com

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.