Partial differential equations

Learning outcomes

After the course student knows

- how to solve partial differential equations using separation of variables and Fourier techniques 
- the physical interpretations of the equations
- the equations in the spherical and cylindrical coordinates
- the role of the fundamental solutions
- the maximum and comparison principles
- the variational forms of the equations.

Content

The Laplace equation, the heat equation and the wave equation.

Teacher
 Riikka Korte

Study material
 Lecture notes

Online learning environment for the course & Activating Aalto ID

MyCourses online learning environment is a tool for both students and teachers for communication and managing everyday course work. You need an Aalto User ID to log in to the course's MyCourses workspace and participate in teaching. You can activate your Aalto User ID the day after the registration and you should activate it no later than the day before the start of the course.Instructions for activating your Aalto User IDDigital workspace of the course:
MyCourses

More details on completing the course will be available at MyCourses closer to the start of the course.

Workload

24+24 (2+2) contact hours

Prerequisites

MS-A03XX Differential and integral calculus 3.

Evaluation

lectures, exercises and course exam OR exam only

Teaching time and location

The teaching time and the location of the course can be found at Sisu information system

1. The link leads to Completion methods tab of the course page  
2. From the top of the page (Version drop-down menu), check that academic year 2024-2025 is selected  

3. From the blue bar, click Lecture and open the Groups and teaching times tab to see the teaching time and the location of the course. Exam times can be seen by clicking Exam.
    

   Exam instructions at the Open University

Registration and course fee

Registration for Open University courses is done in Sisu-service. 

Course registration

Registration for this course starts on 5.8.2024 at 9.00  
Registration for this course ends on 9.9.2024 at 23.59

It is not possible to register before the registration period has started or after it has ended.

The number of participants is limited to 5.

This course is organized by the Aalto University School of Science.

The course fee is paid upon registration for each course at a time and it is binding. Familiarize yourself with registration and payment rules as well as other guidelines for students:
Registration, payments and rulesAccess Token on Aalto University Campus

To be able to enter campus premises and classrooms you need the student access token of Aalto University. You can get the student access token from campus lobby services. The access token need to be activated with your Aalto account and password before you can use it. Please, arrive the campus well in advance before your first class so that you can make the access token work. Please, see the instructions how to get and activate the access token:How to get an access tokenOtaniemi Campus, Espoo:Campus mapFurther information
Equivalences: Together with the course MS-C1650 Numerical analysis substitutes the course Mat-1.1040.

Individual study arrangements

If you need individual study arrangements in order to attend a course, contact the Open University in good time, at least 14 days before the start date of the course or the examination date. Further information and instructions for applying individual study arrangements can be found here:
Individual study arrangements at Open University