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.

Contents

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

Finnish

Evaluation

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