x !
Archived Curricula Guide 2011–2012
Curricula Guide is archieved. Please refer to current Curricula Guides
MATEP3 Analysis 1 8 ECTS
Organised by
Person in charge
Lecturer of Mathematics
Preceding studies
The extensive syllabus of mathematics in upper secondary school.

Learning outcomes

To rigorously study the basic notions of real variable calculus and to achieve deeper understanding on why the mathematical formulae and rules familiar from the school actually work.


Real numbers and inequations, basic functions, supremum and infimum, continuity, sequences and convergence, limits and the "epsilon-delta" technique, Bolzano's theorem, derivatives, intermediate value theorem.

Teaching methods

Teaching method Contact Online
Lectures 56 h 0 h
Tutorials 28 h 0 h

Teaching language


Modes of study


Numeric 1-5.

Recommended year of study

1. year autumn

Study materials

The course is based on the lectures. Lecture notes are available online in Finnish. Further reading:

  1. Courant, R., John, F., Introduction to calculus and analysis.
  2. Salas, S. L., Hille, E., Etgen, G. J., Calculus: one and several variables.

Belongs to following study modules

School of Information Sciences
School of Information Sciences
Archived Teaching Schedule. Please refer to current Teaching Shedule.
School of Information Sciences