Kaisa_2012_3_photo by Veikko Somerpuro

Enrol

Timetable

Here is the course’s teaching schedule. Check the description for possible other schedules.

DateTimeLocation
Tue 5.9.2017
14:15 - 16:00
Mon 11.9.2017
14:15 - 16:00
Tue 12.9.2017
14:15 - 16:00
Mon 18.9.2017
14:15 - 16:00
Tue 19.9.2017
14:15 - 16:00
Mon 25.9.2017
14:15 - 16:00
Tue 26.9.2017
14:15 - 16:00
Mon 2.10.2017
14:15 - 16:00
Tue 3.10.2017
14:15 - 16:00
Mon 9.10.2017
14:15 - 16:00
Tue 10.10.2017
14:15 - 16:00
Mon 16.10.2017
14:15 - 16:00
Tue 17.10.2017
14:15 - 16:00
Mon 30.10.2017
14:15 - 16:00
Tue 31.10.2017
14:15 - 16:00
Mon 6.11.2017
14:15 - 16:00
Tue 7.11.2017
14:15 - 16:00
Mon 13.11.2017
14:15 - 16:00
Tue 14.11.2017
14:15 - 16:00
Mon 20.11.2017
14:15 - 16:00
Tue 21.11.2017
14:15 - 16:00
Mon 27.11.2017
14:15 - 16:00
Tue 28.11.2017
14:15 - 16:00
Mon 4.12.2017
14:15 - 16:00
Tue 5.12.2017
14:15 - 16:00
Mon 11.12.2017
14:15 - 16:00
Tue 12.12.2017
14:15 - 16:00

Other teaching

07.09. - 19.10.2017 Thu 12.15-14.00
02.11. - 30.11.2017 Thu 12.15-14.00
14.12.2017 Thu 12.15-14.00
Erik Elfving
Teaching language: English

Material

Väisälä: Topology II; Chapters 0-3, Chapters 4-7, Chapters 8-11, Chapters 12-15, Chapters 16-20

J. M. Lee: Introduction to Topological Manifolds, p. 1-15

Tasks

Exercise 1 (14.9.2017)

Exercise 2 (21.9.2017)

Exercise 3 (28.9.2017)

Exercise 4 (5.10.2017)

Exercise 5 (12.10.2017)

Exercise 6 (17.10.2017)

Exercise 7 (2.11.2017)

Exercise 8 (9.11.2017)

Exercise 9 (16.11.2017)

Exercise 10 (23.11.2017)

Exercise 11 (30.11.2017)

Exercise 12 (7.12.2017)

Exercise 13 (14.12.2017)

Conduct of the course

1. kurssikoe on tiistaina 24.10. klo 16-19 salissa D123. Materiaali on Väisälän kirjan luvut 1-8 sekä harjoitukset viikoilta 1-6.

The 1st midterm exam is held on Tuesday, 24th of October, at 16-19 in lecture room D123. The material consists of sections 1-8 in Väisälä's book, and exercises 1-6.

2. kurssikoe on perjantaina 15.12. klo 14-17 salissa D123. Materiaali on Väisälän kirjan luvut 9-17 sekä harjoitukset viikoilta 7-13.

The 2nd midterm exam is held on Friday 15th of December at 14-17 in lecture room D123. The material consists of sections 9-17 in Väisälä's book, and exercises 7-13.

Description

Optional course.

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

Belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Topology I

Bachelor studies

The course gives a working knowledge in general topology, also called as point-set topology. Material is fundamental in a wide-range of further studies in mathematics, especially in analysis and geometry.

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

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

Fundamentals of general topology, including: topological spaces and bases, connectedness, compactness, separation and countability axioms, metrization and extension theorems.

Jussi Väisälä "Topologia II", James Munkres "Topology" (Part I)

Lectures and exercise classes

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

Exam, other methods will be described later.