M1050 Differential and integral calculus I

Faculty of Science
Autumn 2000
Extent and Intensity
4/2/0. 6 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
Teacher(s)
prof. RNDr. Zuzana Došlá, DSc. (lecturer)
Mgr. Dušan Hemzal, Ph.D. (seminar tutor), Mgr. Viktor Votruba, Ph.D. (deputy)
Guaranteed by
prof. RNDr. Zuzana Došlá, DSc.
Departments – Faculty of Science
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
Course objectives
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 can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1999.
  • Enrolment Statistics (recent)
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