PřF:M1510p Mathematical Analysis I

M1510p Mathematical Analysis I

Faculty of Science
Autumn 1999

Extent and Intensity: 2/0/0. Type of Completion: zk (examination).
Teacher(s): prof. RNDr. Zuzana Došlá, DSc. (lecturer)
Guaranteed by: prof. RNDr. Zuzana Došlá, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Course Enrolment Limitations: The course is only offered to the students of the study fields the course is directly associated with.
Syllabus: Differential Calculus of Functions of One variable -- Definitions of a mapping, a function, a sequence, a function composed and inverse. -- 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.
Language of instruction: Czech
Further Comments: The course is taught annually.
The course is taught every week.