1. komponenta

Lecture type	Total
Lectures	60
Exercises	45

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE AIMS AND OBJECTIVES:
The students are introduced to basic ideas of the differential and integral calculus of real function of a real variable. The epsilon-delta terminology is not being used, but, except for some basic facts and theorems which are only stated and well illustrated, the rest is done with adequate rigour. The emphasis is put on the ideas and not on the quantity, artificial examples and technical trickery.

COURSE DESCRIPTION AND SYLLABUS:
1. Limits and the derivative.
2. The chain rule, higher-order derivatives, implicit differentiation.
3. Sine and cosine: graphs, addition formulas.
4. Sine and cosine: derivative, basic limits, polar coordinates.
5. Extrema, mean value theorem.
6. Graphical behaviour of functions and curve sketching.
7. Inverse functions, inverse trigonometric functions.
8. Exponential and logarithmic function.
9. Antiderivative ("indefinite integral").
10. Continuous functions, area, integral ("definite integral").
11. Integration rules and the Fundamental Theorem of Calculus.
12. Integration techniques.
13. Some important integrals and applications to areas and volumes.
14. Arc length and some applications of integrals in physics.

Enrollment :
Attended : Introduction to mathematics

Examination :
Passed : Introduction to mathematics

Mandatory course - Regular study - Mathematics Education