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800321A Series and Approximation, 5 ECTS cr 
Code 800321A  Validity 01.08.2017 -
Name Series and Approximation  Abbreviation Series and Appr 
Scope5 ECTS cr   
Type Intermediate Studies Discipline3250 Mathematics 
TypeCourse   
  Grading1 - 5, pass, fail 
 
   
Unit Field of Mathematics 

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 manipulate series and investigate their convergence
- able to explain the difference between uniform and pointwise convergence
- able to study the uniform and pointwise convergence of function sequences and series
- able to use power series in approximation

 
Contents 

The course concerns both number series and function series. The central topics are convergence tests, pointwise and uniform convergence, power series and the Taylor series. The course gives also an introduction to approximation of functions by polynomials for example.

 
Mode of delivery 

Face-to-face teaching

 
Learning activities and teaching methods 

28 h lectures, 14 h exercises, 91 h independent study

 
Target group 

Mathematics majors

 
Prerequisites and co-requisites 

Continuity and derivative 800317A and Integral 800318A

 
Assessment methods and criteria 

Final exam

 
Grading 

1-5, fail

 
Person responsible 

Mahmoud Filali

 
Working life cooperation 

No

 


Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Series and Approximation  Course  Mahmoud Filali  05.01.21 -22.02.21

Future examinations
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Series and Approximation exam  Exam  Mahmoud Filali  02.03.21