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 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.

Modul 1 (v44)
F1	Vektorer och skalärprodukt (film, film)	1.1-1.2
F2	Linjer och plan	1.3
F3	Linjära ekvationssystem (film)	2.1
Modul 2 (v45)
F4	Reducerad trappstegsform, Gausseliminering (film)	2.2
F5	Matriser (film)	3.1
F6	Inversa matriser (film)	3.2-3.3
Modul 3 (v46)
F7	Delrum, lösningsmängder, linjärt oberoende (film, film)	3.4-3.5
F8	Determinanter (film, film)	4.1-4.2
F9	Kryssprodukt, area och volym (film, film)	4.3
Modul 4 (v47)
F10	Introduktion till egenvärden. Linjära avbildningar och deras geometri. (film, film, film, film)	4.4, 6.1-6.2
F11	Kärna och bild. (film)	6.3
F12	Sammansättningar av linjära avbildningar. (film, film)	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, film, film)	7.7-7.9
F15	Koordinater och linjära avbildningar i given bas (film, film, film)	7.11, 8.1
Modul 6 (v49)
F16	Egenrum. Diagonalisering (film, film)	8.2
F17	Ortogonal diagonalisering	8.3
F18	Kvadratiska former (film)	8.4
Vecka 7 (v50)
F19	Abstrakta vektorrum, allmänna linjära avbildningar (film)	9.1, 9.3
F20	Repetition
F21	Repetition