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