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800318A Integral, 5 ECTS cr 
Code 800318A  Validity 01.01.2017 -
Name Integral  Abbreviation Integral 
Scope5 ECTS cr   
Type Intermediate Studies Discipline3250 Mathematics 
  Grading1 - 5, pass, fail 
Unit Field of Mathematics 

Ville Suomala 

ECTS Credits 

5 ECTS credits / 133 hours of work

Language of instruction 



1st year 3rd period

Learning outcomes 

After completing the course, the student:
- manages the basics of integration theory
- understands the connection and differences between definite and indefinite integral
- is able to understand the connetcion between the integral and the derivative
- is able to use appropriate integration methods and knows where integration theory is applied


Introduction to integration theory. Riemann-integral, The fundamental theorem of Calculus, Eksponent function and logarithm, integration by parts, integration by substitution, improper integral. Applications of integration theory.

Mode of delivery 

Face-to-face teaching

Learning activities and teaching methods 

Lectures 28 h, exercises 14 h, independent work

Target group 

1st year mathematics and physics students as well as students taking mathematics as a minor subject

Prerequisites and co-requisites 

Functions and limit, Continuity and derivative

Recommended or required reading 

In addition to the material hand out in the course, for example the book  P. Harjulehto, R. Klén, M. Koskenoja, Analyysiä reaaliluvuilla.

Assessment methods and criteria 

Final exam


1-5, fail

Person responsible 

Ville Suomala

Working life cooperation 


Other information 

Replaces the course 802164P Series and integral.


Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Integral  Course  Ville Suomala  10.01.22 -04.03.22

Future examinations
No examinations in WebOodi