Kaisa_2012_3_photo by Veikko Somerpuro

Topics: This course is an introduction to Partial Differential Equations (PDEs). It covers four important linear equations: transport equation, Laplace's equation, heat equation and wave equation. The purpose of this course is to introduce some techniques and methodologies in the mathematical treatment of PDEs.

Prerequisites: Differentiaaliyhtälöt I ja II, Vektorianalyysi I ja II.

Ilmoittaudu
11.12.2017 klo 09:00 - 2.5.2018 klo 23:59

Aikataulu

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

PäivämääräAikaOpetuspaikka
Ma 15.1.2018
12:15 - 14:00
Ti 16.1.2018
14:15 - 16:00
Ma 22.1.2018
12:15 - 14:00
Ti 23.1.2018
14:15 - 16:00
Ma 29.1.2018
12:15 - 14:00
Ti 30.1.2018
14:15 - 16:00
Ma 5.2.2018
12:15 - 14:00
Ti 6.2.2018
14:15 - 16:00
Ma 12.2.2018
12:15 - 14:00
Ti 13.2.2018
14:15 - 16:00
Ma 19.2.2018
12:15 - 14:00
Ti 20.2.2018
14:15 - 16:00
Ma 26.2.2018
12:15 - 14:00
Ti 27.2.2018
14:15 - 16:00
Ma 12.3.2018
12:15 - 14:00
Ti 13.3.2018
14:15 - 16:00
Ma 19.3.2018
12:15 - 14:00
Ti 20.3.2018
14:15 - 16:00
Ma 26.3.2018
12:15 - 14:00
Ti 27.3.2018
14:15 - 16:00
Ma 9.4.2018
12:15 - 14:00
Ti 10.4.2018
14:15 - 16:00
Ma 16.4.2018
12:15 - 14:00
Ti 17.4.2018
14:15 - 16:00
Ma 23.4.2018
12:15 - 14:00
Ti 24.4.2018
14:15 - 16:00
Ma 30.4.2018
12:15 - 14:00

Muu opetus

17.01. - 28.02.2018 Ke 10.15-12.00
14.03. - 28.03.2018 Ke 10.15-12.00
11.04. - 02.05.2018 Ke 10.15-12.00
Xiao Zhong
Opetuskieli: englanti

Materiaalit

L. C. Evans: Partial Differential Equations, Springer, 2010.

Tehtävät

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Kurssin suorittaminen

There will be two examinations of 2,5 hours, one at the end of each period. The maximum of each exam is 24 points, and to pass the course one has to get the minimum of 8 points in each exam. Bonus points from solutions of exercises: 25 % of problems solved = 1 point, 35 % = 2 points, 45 % = 3 points, 55 % = 4 points, 65 % = 5 points, 75 % = 6 points, to be added to the results of examinations.

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.

Differentiaaliyhtälöt I ja II, Vektorianalyysi I ja II

Master studies

This course is an introduction to Partial Differential Equations (PDEs). We learn some techniques and methodologies in the mathematical treatment of PDEs.

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

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

Linear transport equation, Laplace's equation, heat equation and wave equation.

Lectures and exercise classes

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

Exam, other methods will be described later