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 : | 1013FTIWIS |

Study domain: | Mathematics |

Academic year: | 2020-2021 |

Semester: | 1st semester |

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

Contact hours: | 44 |

Credits: | 3 |

Study load (hours): | 84 |

Contract restrictions: | Exam contract not possible |

Language of instruction: | Dutch |

Exam period: | exam in the 1st 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 will be used, and other internet sources (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.

- The student needs to know and apply the basic concepts and characteristics concerning the real analysis of 2 or more variables (integrals/line integrals/extremum problems with the least square approach) and concerning the corresponding frame and space geometry. (BE1)
- The student is able to solve all practical problems, also coming from other disciplines, that require methods from this course. (BE2)
- The student is able to use the program Matlab while solving problems that are related to this course, and to statistics. (BE2)

Study of space geometry: coordinate transformations and study of space curves and surfaces.

Analysis of functions of several variables: multiple integrals, line integrals, extremal problems.

Eigenvalues and eigenvectors. Least squares. Principal Component Analysis (PCA). With applications.

Class contact teachingLectures Practice sessions Laboratory sessions

Personal workExercises

Personal work

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)

*List of common formulas*, Blackboard.

Solutions to Analysis, Blackboard.

P. Levrie, *Space Geometry*, 2020, Cursusdienst Campus Groenenborger (Universitas).

P. Levrie, *Linear Algebra*, 2020, Cursusdienst Campus Groenenborger (Universitas).

Annaert, K., Fabri, A. (2020) *Coursetext 3-Matlab.* Cursusdienst Campus Groenenborger (Universitas).

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.