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800320A Differential equations, 5 ECTS cr 
Code 800320A  Validity 01.08.2017 -
Name Differential equations  Abbreviation Differential eq 
Scope5 ECTS cr   
Type Intermediate Studies Discipline3250 Mathematics 
  Grading1 - 5, pass, fail 
Unit Field of Mathematics 

Erkki Laitinen 

ECTS Credits 

5 ECTS credits / 133 hours of work

Language of instruction 



2nd year

Learning outcomes 

Upon completing the course the student:
- is able to classify differential equations and is able to apply correct solution methods to them
- knows the conditions that guarantee the unique solvability of an equation
- understands the concept of implicitly defined solution


The course is devoted to ordinary differential equations. Central part is formed by first order differential equations (separable, homogeneous, linear, exact equations and certain equations which can be transformed into these). The equations are solved using algebraic, iterative and numerical methods. The second part which is central to applications is formed by linear inhomogeneous differential equations with constant coefficients and linear second order equations with continuous coefficient functions. In addition, systems of differential equations are considered. Certain second order linear differential equatoins (e.g. Legendre's equation) is solved via power series.

Mode of delivery 

Face-to-face teaching

Learning activities and teaching methods 

Lectures 28 h, exercises 14 h, independent work

Target group 

Major and minor students

Prerequisites and co-requisites 

Continuity and derivative 800317A and Integral 800318A

Recommended optional programme components 


Recommended or required reading 

Lecture notes

Assessment methods and criteria 

Final exam


1-5, fail

Person responsible 

Erkki Laitinen

Working life cooperation 



Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Differential equations  Course  Erkki Laitinen  03.11.21 -20.12.21

Future examinations
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Differential equations exam  Exam  Erkki Laitinen  18.03.22