MB001 Calculus II

Faculty of Informatics
Spring 2010
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)
prof. Alexander Lomtatidze, DrSc. (lecturer)
doc. RNDr. Ladislav Adamec, CSc. (seminar tutor)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Timetable
Tue 8:00–9:50 A107
  • Timetable of Seminar Groups:
MB001/01: Mon 8:00–9:50 B007, L. Adamec
MB001/02: Mon 10:00–11:50 B007, L. Adamec
MB001/03: Tue 18:00–19:50 B003, A. Lomtatidze
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 17 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
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2011, Spring 2012.
  • Enrolment Statistics (Spring 2010, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2010/MB001