CELTE1, CINEK1, General informations and course planning
On this page you will find information (planning, slides, movies) about SF1264 for CELTE1, CINEK1. For administrative matters such a registration of courses and registration for the exam, contact studentexpeditionen.
Answers to frequently asked questions can be found here: FAQ.
Lecturer: Maria Pia Gualdani
Exercise sessions and seminar leaders:
Grupp 1: Theodor Staffas tstaffas@kth.se,
Grupp 2: Olof Rickhammar olofric@kth.se,
Grupp 3: Sven Sandfeldt svensan@kth.se,
Grupp 4: Gustav Brage gbrage@kth.se,
Grupp 5: Francesca Tombari tombari@kth.se,
Grupp 6: Joanna Nilsson joannan@kth.se,
The exercises sessions are free for everyone. For seminars you need to register at bestämd placering.
Course outline: The course is divided into seven weeks (6 modules + 1 repeat week). There are recommended exercises for each module. See the respective module under moduler.
For each lecture there are short introductory films recorded by Lars Filipsson. The idea is to look at the films before the lecture.
We suggest 3blue1brown for visualisation of certain concepts and GeoGebra
Links to an external site.to draw plains and other geometric figures.
Exercise sessions: They focus on solving exercises from the book or compendium.
Review is done with own work or group work.
Seminars: see Allmänt om seminarierna. General informations on Seminars is under moduler.
Mathematics Tutoring: At KTH there is a mathematical guide to go and get extra help, see här.
Plan of the course:
| Modul 1 (v44) | ||
| F1 | Vektorer och skalärprodukt (film Links to an external site., film Links to an external site.) | 1.1-1.2 |
| F2 | Linjer och plan | 1.3 |
| F3 | Linjära ekvationssystem (film Links to an external site.) | 2.1 |
| Modul 2 (v45) | ||
| F4 | Reducerad trappstegsform, Gausseliminering (film Links to an external site.) | 2.2 |
| F5 | Matriser (film Links to an external site.) | 3.1 |
| F6 | Inversa matriser (film Links to an external site.) | 3.2-3.3 |
| Modul 3 (v46) | ||
| F7 | Delrum, lösningsmängder, linjärt oberoende (film Links to an external site., film Links to an external site.) | 3.4-3.5 |
| F8 | Determinanter (film Links to an external site., film Links to an external site.) | 4.1-4.2 |
| F9 | Kryssprodukt, area och volym (film Links to an external site., film Links to an external site.) | 4.3 |
| Modul 4 (v47) | ||
| F10 | Introduktion till egenvärden. Linjära avbildningar och deras geometri. (film Links to an external site., film Links to an external site., film Links to an external site., film Links to an external site.) | 4.4, 6.1-6.2 |
| F11 | Kärna och bild. (film Links to an external site.) | 6.3 |
| F12 | Sammansättningar av linjära avbildningar. (film Links to an external site., film Links to an external site.) | 6.4 |
| Modul 5 (v48) | ||
| F13 | Baser och dimension. Nollrum och kolonnrum, dimensionssatserna | 7.1-7.6 |
| F14 | Projektioner, ortonormala baser, Gram–Schmidt-ortonormalisering, minstakvadratmetoden (film Links to an external site., film Links to an external site., film Links to an external site.) | 7.7-7.9 |
| F15 | Koordinater och linjära avbildningar i given bas (film Links to an external site., film Links to an external site., film Links to an external site.) | 7.11, 8.1 |
| Modul 6 (v49) | ||
| F16 | Egenrum. Diagonalisering (film Links to an external site., film Links to an external site.) | 8.2 |
| F17 | Ortogonal diagonalisering | 8.3 |
| F18 | Kvadratiska former (film Links to an external site.) | 8.4 |
| Vecka 7 (v50) | ||
| F19 | Abstrakta vektorrum, allmänna linjära avbildningar (film Links to an external site.) | 9.1, 9.3 |
| F20 | Repetition | |
| F21 | Repetition | |