MB001 Calculus II

Faculty of Informatics
Spring 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:
MB001/01: Tue 14:00–15:50 M6,01011, L. Adamec
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
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011.

MB001 Calculus II

Faculty of Informatics
Spring 2011
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)
RNDr. Jan Vondra, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Timetable
Mon 8:00–9:50 A107
  • Timetable of Seminar Groups:
MB001/01: Tue 8:00–9:50 G124, L. Adamec
MB001/02: Tue 10:00–11:50 G124, L. Adamec
MB001/03: Mon 18:00–19:50 M5,01013, 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 19 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 2010, Spring 2012.

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.

MB001 Calculus II

Faculty of Informatics
Spring 2009
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)
Mgr. Bc. Jana Novotná Škarková (seminar tutor)
Mgr. Jiří Vítovec, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Timetable
Tue 12:00–13:50 A107
  • Timetable of Seminar Groups:
MB001/01: Mon 12:00–13:50 B007, J. Novotná Škarková
MB001/02: Mon 8:00–9:50 B011, J. Novotná Škarková
MB001/03: Tue 18:00–19:50 B003, J. Vítovec
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 15 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.
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
Assessment methods
Form: lectures and exercises. Exam: written. Requirements: to manage the theory from the lecture, to be able to solve the problems similar to those from exercises
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2008
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. Bedřich Půža, CSc. (lecturer)
doc. RNDr. Ladislav Adamec, CSc. (seminar tutor)
RNDr. Jitka Vacková, Ph.D. (seminar tutor)
doc. Mgr. Ondřej Klíma, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Timetable
Wed 8:00–9:50 A107
  • Timetable of Seminar Groups:
MB001/01: Wed 10:00–11:50 B003, B. Půža
MB001/02: Mon 8:00–9:50 B003, L. Adamec
MB001/03: Mon 10:00–11:50 B003, L. Adamec
MB001/04: Tue 18:00–19:50 B007, J. Vacková
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 15 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.
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
Assessment methods (in Czech)
Písemná zkouška zaměřená na prakticke priklady a pochopeni zakladnich definici a zakladnich vet.Zadne povolene materialy.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
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 2009, Spring 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2007
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. RNDr. Miroslav Bartušek, DrSc. (lecturer)
RNDr. Gabriela Kraváčková (seminar tutor)
Mgr. Ing. Eva Pekárková, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Wed 8:00–9:50 D2
  • Timetable of Seminar Groups:
MB001/01: Mon 10:00–11:50 B003, E. Pekárková
MB001/02: Mon 8:00–9:50 B003, E. Pekárková
MB001/03: Mon 16:00–17:50 B011, G. Kraváčková
MB001/04: Mon 18:00–19:50 B011, G. Kraváčková
Prerequisites
! M001 Calculus II &&! M501 Calculus II || 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 12 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.
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
Assessment methods (in Czech)
Písemná zkouška zaměřená na prakticke priklady a pochopeni zakladnich definici a zakladnich vet.Zadne povolene materialy.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
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 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2006
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. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Mgr. Ing. Eva Pekárková, Ph.D. (seminar tutor)
Mgr. Stepan Sukovych (seminar tutor)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Thu 8:00–9:50 D2
  • Timetable of Seminar Groups:
MB001/01: Fri 8:00–9:50 B011, E. Pekárková
MB001/02: Fri 10:00–11:50 B011, E. Pekárková
MB001/03: Wed 16:00–17:50 B011, S. Sukovych
MB001/04: Wed 18:00–19:50 B011, S. Sukovych
Prerequisites
! M001 Calculus II &&! M501 Calculus II || 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 12 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.
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
Assessment methods (in Czech)
Písemná zkouška zaměřená na prakticke priklady a pochopeni zakladnich definici a zakladnich vet.Zadne povolene materialy.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
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 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2005
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. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Mgr. Simona Fišnarová, Ph.D. (seminar tutor)
Mgr. Daniel Marek, Ph.D. (seminar tutor)
Mgr. Ing. Eva Pekárková, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Thu 10:00–11:50 A107
  • Timetable of Seminar Groups:
MB001/01: Tue 18:00–19:50 B003, S. Fišnarová
MB001/02: Tue 14:00–15:50 B011, S. Fišnarová
MB001/03: Thu 12:00–13:50 B003, D. Marek
MB001/04: Thu 12:00–13:50 B007, E. Pekárková
Prerequisites
! M001 Calculus II &&! M501 Calculus II
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 12 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.
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
Assessment methods (in Czech)
Písemná zkouška zaměřená na prakticke priklady a pochopeni zakladnich definici a zakladnich vet.Zadne povolene materialy.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
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 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2004
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. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Mgr. Zdeněk Opluštil, Ph.D. (seminar tutor)
doc. Mgr. Zuzana Pátíková, Ph.D. (seminar tutor)
Mgr. Šárka Pechancová, Ph.D. (seminar tutor)
Mgr. Josef Rebenda, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Fri 8:00–9:50 D2
  • Timetable of Seminar Groups:
MB001/01: Tue 18:00–19:50 B007, Z. Pátíková
MB001/02: Wed 8:00–9:50 B003, J. Rebenda
MB001/03: Tue 12:00–13:50 B007, Š. Pechancová
MB001/04: Thu 8:00–9:50 B003, Z. Opluštil
Prerequisites (in Czech)
! M001 Calculus II &&! M501 Calculus II
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 6 fields of study the course is directly associated with, display
Course objectives (in Czech)
Pokračování kurzu MB000, kurz je věnován diferenciálnímu a integrálnímu počtu funkcí více proměnných a nekonečným řadám.
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
Assessment methods (in Czech)
Písemná zkouška zaměřená na prakticke priklady a pochopeni zakladnich definici a zakladnich vet.Zadne povolene materialy.
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2003, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2003
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. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Thu 7:00–8:50 D1
Prerequisites (in Czech)
! M001 Calculus II &&! M501 Calculus II
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 6 fields of study the course is directly associated with, display
Course objectives (in Czech)
Pokračování kurzu MB000, kurz je věnován diferenciálnímu a integrálnímu počtu funkcí více proměnných a nekonečným řadám.
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
Assessment methods (in Czech)
Písemná zkouška zaměřená.
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2019

The course is not taught in Spring 2019

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2018

The course is not taught in Spring 2018

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2017

The course is not taught in Spring 2017

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2016

The course is not taught in Spring 2016

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2015

The course is not taught in Spring 2015

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2014

The course is not taught in Spring 2014

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.

MB001 Calculus II

Faculty of Informatics
Spring 2013

The course is not taught in Spring 2013

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
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)
The course is taught annually.
The course is taught: every week.
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 2010, Spring 2011, Spring 2012.
  • Enrolment Statistics (recent)