1. komponenta

Lecture type	Total
Lectures	60
Exercises	45

COURSE AIMS AND OBJECTIVES: In this course, students are introduced to the basic concepts of differential and integral calculus of real functions of one real variable. The emphasis is on ideas and not on the number of artificial functions and technical tricks. In the lectures, basic concepts are introduced and elaborated and abundantly illustrated with examples, while in the exercises students adopt the appropriate techniques of approaching individual concrete problems and solving them.

COURSE DESCRIPTION AND SYLLABUS:
1-2) Limits.
3) Continuity.
4) Derivative.
5) Composition, higher-order derivatives, implicit differentiation.
6) Function extrema, mean value theorem.
7-8) Analysis of function behavior and its graph.
9) Continuous functions, area, integral (definite integral).
10) Primitive function (antiderivative, indefinite integral).
11) Integration rules and the fundamental theorem of calculus.
12) Integration techniques.
13) Applications of integrals to volume and surface area calculations.
14) Improper integral.
15) Sequences.

1. Calculus I, J. E. Marsden, A. Weinstein, Springer, New York, 1985.
2. Calculus: One and Several Variables, S. L. Salas, G. J. Etgen, E. Hille, Wiley, Hoboken, 2006.

Enrollment :
Attended : Introduction to mathematics

Examination :
Passed : Introduction to mathematics

Mandatory course - Regular study - Mathematics and Physics Education