FI:M000 Calculus I - Course Information

M000 Calculus I

Extent and Intensity

3/0. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).

Teacher(s)

prof. RNDr. Miroslav Bartušek, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Jiří Kaďourek, CSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.

Timetable

Wed 10:00–12:50 D1

Prerequisites (in Czech)

(! M500 Calculus I )&&(! NOW ( M500 Calculus I ))

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

• Informatics (programme FI, B-IN)
• Informatics (programme FI, M-IN)
• Mathematical Biology (programme PřF, M-BI)

Syllabus

• Real numbers.
• Basic properties of real functions of one variable, composite and inverse function.
• Real sequences, limits and cluster points.
• Limit of real functions of one variable.
• Derivative and differential.
• Derivatives of elementary functions.
• Investigation of graphs of functions.
• Primitive function.
• Substitution method and integration by parts.
• Riemann integral of functions of one variable.
• Geometrical and physical applications of the Riemann integral.
• Improper integrals.

Literature

• NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
• FUCHSOVÁ, Libuše. Matematická analýza. Vyd. 2. Brno: Masarykova univerzita, 1992, 116 s. ISBN 8021005149. info
• NOVÁK, Vítězslav. Integrální počet v R. 2. vyd. Brno: Masarykova univerzita, 1994, 148 s. ISBN 8021009918. info

Assessment methods (in Czech)

Zkouška písemná, zaměřená na teoretické i praktické zvládnutí učiva.

Language of instruction

Czech

Further Comments

The course is taught annually.

• Enrolment Statistics (recent)
  
• Permalink: https://is.muni.cz/course/fi/autumn2001/M000