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800328A Calculus of several variables, 5 ECTS cr 
Code 800328A  Validity 01.08.2017 -
Name Calculus of several variables  Abbreviation Calculus of sev 
Scope5 ECTS cr   
Type Intermediate Studies Discipline3250 Mathematics 
TypeCourse   
  Grading1 - 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 

Face-to-face 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 co-requisites 

Continuity and derivative 800317A, Integral 800318A, Introduction to matrices 802120P

 
Assessment methods and criteria 

Final exam

 
Grading 

1-5, fail

 
Person responsible 

Mahmoud Filali

 
Working life cooperation 

No

 
Other information 

Replaces the course 802351A Vector calculus

 


Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Calculus of several variables  Course  Mahmoud Filali  31.08.20 -16.10.20

Future examinations
Functions Name Type ECTS cr Teacher Schedule
registration period has ended Calculus of several variables  Exam  Mahmoud Filali 
10.08.20mon 12.00-15.00