Data on the course

Show instruction and examinations
800317A Continuity and derivative, 5 ECTS cr 
Code 800317A  Validity 01.01.2017 -
Name Continuity and derivative  Abbreviation Continuity and 
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 

1st year, 2nd period

 
Learning outcomes 

Upon completing the course the student is:
- able to define the concept of continuous function and apply this definition in examples and deductions
- able to determine derivatives of functions
- able to apply derivative to study functions
- able to appy the concepts of continuity and derivative in various problems, including deductions

 
Contents 

The course concerns continuity and derivative of real-valued functions of one variable. The central topics are the intermediate value theorem, the chain rule, the derivative of inverse functions, the mean value theorem and its applications. Differential calculus is also applied to various problems. The aim of the course is to improve mathematical thinking as well as computational skills.

 
Mode of delivery 

Face-to-face teaching

 
Learning activities and teaching methods 

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

 
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 800119P, Introduction to mathematical deduction 802151P

 
Recommended optional programme components 

-

 
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, exercises

 
Grading 

1-5, fail

 
Person responsible 

Esa Järvenpää

 
Working life cooperation 

No

 
Other information 

Replaces the course 802163P Derivative.

 


Current and future instruction
Functions Name Type ECTS cr Teacher Schedule
registration period has not begun Continuity and Derivative  Course  Esa Järvenpää  26.10.20 -14.12.20

Future examinations
Functions Name Type ECTS cr Teacher Schedule
registration period has ended Continuity and derivative  Exam  Esa Järvenpää 
10.08.20mon 12.00-15.00