M1050p Diferenciální a integrální počet funkcí jedné proměnné-přednáška

Faculty of Science
Autumn 1999
Extent and Intensity
4/0/0. Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
Guaranteed by
prof. RNDr. Zuzana Došlá, DSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Zdeněk Pospíšil, Dr.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Differential Calculus of Functions of One variable -- Definitions of a mapping, a function, a sequence. -- Sequences of real numbers (limit, limsup, liminf). -- Limit of functions (proper and improper), continuity of functions. -- Elementary functions, basic properties and graphs. -- Derivative of functions, geometrical meaning, computation. -- Theorems on continuous functions and mean-value theorem. -- Extrema, inflex points, asymptotics, behaviour of functions. -- Taylor theorem, differential and their applications. Integral Calculus of Functions of One Variable -- Primitive function, basic properties. Methods on substitution and per partes. -- Integrals of racional, iracional, trigonometric and some iracional functions. -- Riemann (definite) integral, its applications. -- Notation of improper integral.
Literature
  • NOVÁK, Vítězslav. Integrální počet v R. 2. vyd. Brno: Masarykova univerzita, 1994, 148 s. ISBN 8021009918. info
  • DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : Riemannův integrál. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 84 s. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M1050p