FI:MB001 Calculus II - Course Information
MB001 Calculus II
Faculty of InformaticsSpring 2012
- Extent and Intensity
- 2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
- Teacher(s)
- doc. RNDr. Ladislav Adamec, CSc. (seminar tutor)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (assistant) - Guaranteed by
- doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Supplier department: Faculty of Science - Timetable
- Tue 18:00–19:50 A107
- Timetable of Seminar Groups:
MB001/02: Mon 8:00–9:50 G124, P. Zemánek
MB001/03: Mon 10:00–11:50 G124, P. Zemánek - Prerequisites
- MB000 Calculus I
Complete the course MB000. - 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
- there are 13 fields of study the course is directly associated with, display
- Course objectives
- The continuation of the course MB000.It is devoted to the differential and integral calculus of functions of several variables and to series. At the end of the course students should be able to: to define and interpret the basic notions used in the fields mentioned above; to formulate relevant mathematical theorems and statements and to explain methods of their proofs; to use effective techniques utilized in these subject areas; to apply acquired pieces of knowledge for the solution of specific problems; to analyse selected problems from the topics of the course.
- Syllabus
- Differential calculus of functions of several variables, partial derivatives, differential.
- Local and global extrema.
- Integral calculus of functions of several variables.
- Double and triple integrals, integrals depending on parameter.
- Infinite series, criteria convergence.
- Absolute and relative convergence.
- Literature
- NOVÁK, Vítězslav and Zuzana DOŠLÁ. Nekonečné řady (Infinite series). 1. vyd. Brno: Masarykova univerzita v Brně, 1998, 120 pp. skripta. ISBN 80-210-1949-2. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vydání první. Brno: Vydavatelství Masarykovy univerzity, 1994, 130 stran. ISBN 8021009926. info
- RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
- Teaching methods
- lectures and class exercises
- Assessment methods
- Teaching: lecture 2 hours a week, class exercises 2 hours a week. Exam: written.
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/fi/spring2012/MB001