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

Teachers
Name
Ville Suomala 

Description
ECTS Credits 

5 ECTS credits / 133 hours of work

 
Language of instruction 

Finnish

 
Timing 

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

 
Contents 

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

 
Grading 

1-5, fail

 
Person responsible 

Ville Suomala

 
Working life cooperation 

no

 
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  04.01.21 -26.02.21

Future examinations
Functions Name Type ECTS cr Teacher Schedule
registration period has ended Integral  Exam  Ville Suomala 
10.08.20mon 12.00-15.00