Kaisa_2012_3_photo by Veikko Somerpuro

This course is included in the general exam in August.

Ilmoittaudu
11.12.2017 klo 09:00 - 3.5.2018 klo 23:59

Aikataulu

Tästä osiosta löydät kurssin opetusaikataulun. Tarkista mahdolliset muut aikataulut kuvauksesta.

PäivämääräAikaOpetuspaikka
Ti 16.1.2018
14:15 - 16:00
To 18.1.2018
12:15 - 14:00
Ti 23.1.2018
14:15 - 16:00
To 25.1.2018
12:15 - 14:00
Ti 30.1.2018
14:15 - 16:00
To 1.2.2018
12:15 - 14:00
Ti 6.2.2018
14:15 - 16:00
To 8.2.2018
12:15 - 14:00
Ti 13.2.2018
14:15 - 16:00
To 15.2.2018
12:15 - 14:00
Ti 20.2.2018
14:15 - 16:00
To 22.2.2018
12:15 - 14:00
Ti 27.2.2018
14:15 - 16:00
To 1.3.2018
12:15 - 14:00
Ti 13.3.2018
14:15 - 16:00
To 15.3.2018
12:15 - 14:00
Ti 20.3.2018
14:15 - 16:00
To 22.3.2018
12:15 - 14:00
Ti 27.3.2018
14:15 - 16:00
To 5.4.2018
12:15 - 14:00
Ti 10.4.2018
14:15 - 16:00
To 12.4.2018
12:15 - 14:00
Ti 17.4.2018
14:15 - 16:00
To 19.4.2018
12:15 - 14:00
Ti 24.4.2018
14:15 - 16:00
To 26.4.2018
12:15 - 14:00
To 3.5.2018
12:15 - 14:00

Muu opetus

15.01. - 26.02.2018 Ma 12.15-14.00
12.03. - 26.03.2018 Ma 12.15-14.00
09.04. - 30.04.2018 Ma 12.15-14.00
Tapani Hyttinen
Opetuskieli: englanti

Materiaalit

Lecture notes (9.5)

Muu

Tehtävät

The first exercise class is on 22.1. The exercises are from the lecture notes.

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Hints 1

Hints 2

Exercise 6

Hints 3

Exercise 7

Hints 4

Hints 5

Hints 6

Exercise 8

Exercise 9

Exercise 10

Hints 7

Hints 8

Hints 9

Exercise 11

Hints 10

Exercise 12

Hints 11

Hints 12

Exercise 13

Hints 13

Hints for the exam

Kurssin suorittaminen

Exam on Thursday 3.5 at 12.00-14.00 in C220

Kuvaus

Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

E.g. Johdatus logiikkaan II

Master studies

The course gives the basic knowledge of set theory including basics of forcing

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

Ordinals, cardinals, forcing, consistency results

Lecture notes

Lectures and exercise classes

Exam and excercises, Course will be graded with grades 1-5

Exam, other methods will be described later