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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 
TypeCourse   
  Grading1 - 5, pass, fail 
 
   
Unit Field of Mathematics 

Teachers
Name
Erkki Laitinen 

Description
ECTS Credits 

5 ECTS credits / 133 hours of work

 
Language of instruction 

Finnish

 
Timing 

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

 
Contents 

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

 
Grading 

1-5, fail

 
Person responsible 

Erkki Laitinen

 
Working life cooperation 

no

 


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