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031076P Differential Equations, 5 ECTS cr 
Code 031076P  Validity 01.08.2015 -
Name Differential Equations  Abbreviation Differential Eq 
Scope5 ECTS cr   
TypeBasic Studies Discipline4338 Engineering Mathematics 
  Grading1 - 5, pass, fail 
Unit Applied Mathematics and Computational Mathematics 

Ruotsalainen Keijo 

ECTS Credits 

5 ECTS credits / 135 hours of work

Language of instruction 



The course is held in the spring, during period 4. It is recommended to complete the course at the 1th spring semester.

Learning outcomes 

The students can apply differential equations as a mathematical model. They can identify and solve various differential equations and they have knowledge on basic solvability of differential equations. The student can use the Laplace transform as a solution method.


Ordinary differential equations of first and higher order.
Laplace transform with applications to differential equations.

Mode of delivery 

Online teaching, Stack/Moodle digital learning environment

Learning activities and teaching methods 

Lectures 28 h / Group work 22 h / Self-study 85 h.

Target group 

1. year students of engineering, mathematics and physics.

Prerequisites and co-requisites 

The recommended prerequisite is the completion of the course Calculus I.

Recommended optional programme components 


Recommended or required reading 

Recommended literature: Kreyszig, E: Advanced Engineering Mathematics;

Assessment methods and criteria 

The course can be completed by intermediate exams (2 exams) or by a final exam.

 Read more about assessment criteria at the University of Oulu webpage.


The course utilizes a numerical grading scale 0-5. In the numerical scale zero stands for a fail.


Person responsible 

Keijo  Ruotsalainen

Working life cooperation 



Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
Registration Differential Equations, Summer/Online Course  Course  Ruotsalainen Keijo  28.06.21 -21.08.21
registration period has not begun Differential Equations  Course  Ruotsalainen Keijo  14.03.22 -02.05.22
registration period has not begun Differential Equations (in English)  Course  Ruotsalainen Keijo  14.03.22 -02.05.22

Future examinations
Functions Name Type ECTS cr Teacher Schedule
Registration Differential Equations  Exam  Ruotsalainen Keijo 
21.08.21sat 09.00-12.00
registration period has not begun Differential Equations exam  Exam  Ruotsalainen Keijo  03.02.22