Professional studies

Teaching language


Type of course


Cycle/level of course


Recommended year of study


Total number of ECTS

5 cr

Competency aims

The aim of the course is
- Become familiar with the concept of probability
and be able to
solve practical problems in the subject.
- Understand what derivative means and to use
in the calculations.
- Become familiar with roots and logarithms and
deepen their knowledge of differential calculus.
- Learn how to solve trigonometric equations
and become familiar with progressions.
- Learn to integrate and calculate areas and

Learning outcomes

At the end of the course the student is expected
to be able to
- Understand the concept of probability
- Perform calculations with simple
probability distributions, especially
normal distribution.
- Understand the concepts of limit, continuity and
- MHA derivative bestämmma polynomfunktioners
progress and limits
- Differentiating composite functions
- Know the trigonometric Recursion
- Solve practical problems using arithmetic
and geometric sequences and series.
- Know the concepts of primitive functions and
- Able to perform area and volume calculations
with the help of
integral calculus.

Course contents

Probability and Statistics
Root and logarithmic functions
Trigonometric functions and sequences
Integral Calculus

Prerequisites and co-requisites

Fundamental Math.

Previous course names

Differential and integral calculus

Additional information

All additional info can be found on
Itslearning website.

Recommended or required reading

Kontkanen-Westermark m.fl.; Ellips 6
Kontkanen-Westermark m.fl.; Ellips 7
Kontkanen-Westermark m.fl.; Ellips 8
Kontkanen-Westermark m.fl.; Ellips 9
Kontkanen-Westermark m.fl.; Ellips 10

Study activities

  • Lectures - 60 hours
  • Individual- and group instruction - 30 hours
  • Individual studies - 40 hours


  • Total workload of the course: 130 hours
  • Of which autonomous studies: 130 hours
  • Of which scheduled studies: 0 hours

Mode of Delivery

Participation in tuition

Assessment methods

Exams (written-, oral-, home-)

Assessment requirements

2 midterm exams 40% each + 20% homework
pass mark 50%


Durbo Karis


Durbo Karis

Group size

No limit

Assignments valid until

Until date 2014-10-24

Assessment methods

2014-10-24 - Exams

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