800328A Calculus of several variables, 5 ECTS cr
Code 
800328A 
Validity 
01.08.2017 

Name 
Calculus of several variables 
Abbreviation 
Calculus of sev 
Scope  5 ECTS cr 


Type  Intermediate Studies 
Discipline  3250 Mathematics 
Type  Course 




Grading  1  5, pass, fail 
 
 


 
Unit 
Field of Mathematics 

Description
ECTS Credits 
5 ECTS credits 
Language of instruction 
Finnish 
Timing 
2nd year, 1st period 
Learning outcomes 
After completing the course the student is able to:
 operate functions of several variables
 apply derivates of functions of several variables
 calculate multiple integrals 
Contents 
The course concerns calculus of severable variables. The central concepts of the course are partial derivative, gradient, divergence, curl and multiple integral. Integral theorems related to functions of several variables are also presented. In addition power series are introduced. The course offers basic tools for applications. 
Mode of delivery 
Facetoface teaching 
Learning activities and teaching methods 
28 h lectures, 14 h exercises, 91 h study a part of which may be guided 
Target group 
Mathematics and physics major and minor students 
Prerequisites and corequisites 
Continuity and derivative 800317A, Integral 800318A, Introduction to matrices 802120P 
Assessment methods and criteria 
Final exam 
Grading 
15, fail 
Person responsible 
Mahmoud Filali 
Working life cooperation 
No 
Other information 
Replaces the course 802351A Vector calculus 

Current and future instruction
Future examinations