MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2019
Extent and Intensity
2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Mon 14:00–15:50 D3
  • Timetable of Seminar Groups:
MB102/01: Mon 12:00–13:50 B204, J. Šišoláková
MB102/02: Mon 18:00–19:50 B204, J. Šišoláková
MB102/03: Tue 8:00–9:50 B204, J. Šišoláková
MB102/04: Fri 12:00–13:50 B204, M. Bačík
MB102/05: Tue 18:00–19:50 B204, J. Juránek
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 53 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2019
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Martin Doležal (seminar tutor)
Mgr. Jan Jekl, Ph.D. (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
RNDr. Jiří Pecl, Ph.D. (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Radek Suchánek, Ph.D. (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
Mgr. Dominik Trnka (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Wed 12:00–13:50 D3, Wed 12:00–13:50 D1
  • Timetable of Seminar Groups:
MB102/T01: Fri 22. 2. to Sun 2. 6. Fri 12:00–15:50 106, J. Pecl, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Wed 10:00–11:50 B204, J. Reiss
MB102/02: Wed 14:00–15:50 A320, J. Reiss
MB102/03: Wed 16:00–17:50 A320, J. Reiss
MB102/04: Wed 18:00–19:50 A320, J. Reiss
MB102/05: Mon 8:00–9:50 B204, M. Bačík
MB102/06: Mon 10:00–11:50 B204, M. Bačík
MB102/07: Fri 8:00–9:50 B204, M. Bačík
MB102/08: Fri 10:00–11:50 B204, M. Bačík
MB102/09: Mon 8:00–9:50 A320, J. Šišoláková
MB102/10: Mon 16:00–17:50 B204, J. Šišoláková
MB102/11: Tue 19. 2. to Tue 14. 5. Tue 8:00–9:50 B204, J. Juránek
MB102/12: Mon 18:00–19:50 B204, J. Jekl
MB102/13: Tue 19. 2. to Tue 14. 5. Tue 12:00–13:50 A320, M. Doležal
MB102/14: Tue 19. 2. to Tue 14. 5. Tue 14:00–15:50 A320, M. Doležal
MB102/15: Wed 8:00–9:50 A320, R. Suchánek
MB102/16: Wed 10:00–11:50 A320, R. Suchánek
MB102/17: Thu 21. 2. to Thu 16. 5. Thu 12:00–13:50 B204, D. Trnka
MB102/18: Thu 21. 2. to Thu 16. 5. Thu 18:00–19:50 B204, D. Trnka
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2018
Extent and Intensity
2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Tue 14:00–15:50 D3
  • Timetable of Seminar Groups:
MB102/01: Wed 16:00–17:50 M6,01011, J. Juránek
MB102/02: Mon 17. 9. to Mon 10. 12. Mon 8:00–9:50 A320, J. Reiss
MB102/03: Mon 17. 9. to Mon 10. 12. Mon 12:00–13:50 A320, J. Reiss
MB102/04: Mon 17. 9. to Mon 10. 12. Mon 8:00–9:50 B204, J. Šišoláková
MB102/05: Mon 17. 9. to Mon 10. 12. Mon 16:00–17:50 A319, J. Šišoláková
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2018
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Martin Doležal (seminar tutor)
Mgr. Pavel Francírek, Ph.D. (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Radek Suchánek, Ph.D. (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Wed 16:00–17:50 D2, Wed 16:00–17:50 D1, except Wed 16. 5.
  • Timetable of Seminar Groups:
MB102/01: Tue 8:00–9:50 A320, J. Reiss
MB102/02: Tue 10:00–11:50 A320, J. Reiss
MB102/03: Tue 16:00–17:50 B204, M. Bačík
MB102/04: Tue 18:00–19:50 B204, M. Bačík
MB102/05: Wed 8:00–9:50 B204, J. Juránek
MB102/06: Wed 10:00–11:50 B204, J. Juránek
MB102/07: Mon 8:00–9:50 B204, J. Šišoláková
MB102/08: Mon 12:00–13:50 A320, J. Šišoláková
MB102/09: Tue 14:00–15:50 B204, J. Reiss
MB102/10: Thu 16:00–17:50 B204, P. Francírek
MB102/11: Thu 18:00–19:50 B204, P. Francírek
MB102/12: Mon 16:00–17:50 B204, R. Suchánek
MB102/13: Mon 18:00–19:50 B204, R. Suchánek
MB102/14: Wed 18:00–19:50 B204, R. Suchánek
MB102/15: Thu 8:00–9:50 B204, M. Doležal
MB102/16: Thu 10:00–11:50 B204, M. Doležal
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2017
Extent and Intensity
2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Paulína Kerpnerová (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Wed 12:00–13:50 D3
  • Timetable of Seminar Groups:
MB102/01: Wed 8:00–9:50 B204, P. Kerpnerová
MB102/02: Wed 10:00–11:50 B204, P. Kerpnerová
MB102/03: Thu 8:00–9:50 B204, J. Juránek
MB102/04: Thu 10:00–11:50 B204, J. Juránek
MB102/05: Mon 8:00–9:50 B204, J. Reiss
MB102/06: Mon 14:00–15:50 B204, J. Reiss
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2017
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Pavel Francírek, Ph.D. (seminar tutor)
Mgr. Jan Hrdlička (seminar tutor)
Mgr. Jan Jekl, Ph.D. (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Mária Šimková (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Mon 20. 2. to Sun 14. 5. Wed 12:00–13:50 D1, Wed 12:00–13:50 D3; and Wed 17. 5. 12:00–13:50 D2
  • Timetable of Seminar Groups:
MB102/T01: Mon 13. 3. to Mon 22. 5. Mon 14:15–15:55 106, L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Tue 12:00–13:50 B204, P. Hasil
MB102/02: Tue 14:00–15:50 B204, P. Hasil
MB102/03: Tue 16:00–17:50 B204, J. Hrdlička
MB102/04: Tue 18:00–19:50 B204, J. Hrdlička
MB102/05: Thu 16:00–17:50 B204, J. Juránek
MB102/06: Thu 18:00–19:50 B204, J. Juránek
MB102/07: Wed 18:00–19:50 B204, J. Juránek
MB102/08: Tue 8:00–9:50 A320, P. Francírek
MB102/09: Tue 10:00–11:50 A320, P. Francírek
MB102/10: Fri 10:00–11:50 A320, M. Bačík
MB102/11: Fri 12:00–13:50 A320, M. Bačík
MB102/12: Tue 16:00–17:50 A320, M. Šimková
MB102/13: Tue 18:00–19:50 A320, J. Jekl
MB102/14: Wed 18:00–19:50 A320, J. Hrdlička
MB102/15: Wed 10:00–11:50 A320, M. Veselý
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The students will be able:
to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable
understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
    not specified
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2016
Extent and Intensity
2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Wed 10:00–11:50 D3
  • Timetable of Seminar Groups:
MB102/01: Wed 8:00–9:50 B204, J. Reiss
MB102/02: Wed 12:00–13:50 B204, J. Reiss
MB102/03: Wed 16:00–17:50 A320, V. Růžička
MB102/04: Wed 18:00–19:50 A320, V. Růžička
MB102/05: Tue 16:00–17:50 B204, J. Juránek
MB102/06: Tue 18:00–19:50 B204, J. Juránek
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2016
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Bc. Kateřina Družbíková (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Paula Neubrandová (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Michal Theuer, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Tue 12:00–13:50 D3, Tue 12:00–13:50 D1
  • Timetable of Seminar Groups:
MB102/T01: Thu 25. 2. to Fri 20. 5. Thu 8:50–11:15 114, L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Tue 16:00–17:50 A320, P. Hasil
MB102/02: Tue 18:00–19:50 A320, P. Hasil
MB102/03: Thu 12:00–13:50 B204, J. Reiss
MB102/04: Thu 14:00–15:50 B204, J. Reiss
MB102/05: Thu 8:00–9:50 B204, K. Družbíková
MB102/06: Thu 10:00–11:50 B204, K. Družbíková
MB102/07: Thu 14:00–15:50 A320, V. Růžička
MB102/08: Thu 16:00–17:50 A320, V. Růžička
MB102/09: Wed 18:00–19:50 B204, P. Neubrandová
MB102/10: Thu 10:00–11:50 A320, M. Bačík
MB102/11: Wed 12:00–13:50 B204, K. Družbíková
MB102/12: Thu 12:00–13:50 A320, M. Bačík
MB102/13: Tue 8:00–9:50 B204, M. Theuer
MB102/14: Tue 10:00–11:50 B204, M. Theuer
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The students will be able:
to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable
understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
    not specified
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2015
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Paula Neubrandová (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (assistant)
prof. Mgr. Petr Hasil, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Wed 10:00–11:50 D3
  • Timetable of Seminar Groups:
MB102/T01: Thu 24. 9. to Tue 22. 12. Thu 13:00–15:25 118, L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Wed 14:00–15:50 A320, M. Veselý
MB102/02: Wed 16:00–17:50 A320, M. Veselý
MB102/03: Tue 12:00–13:50 A320, V. Růžička
MB102/04: Tue 14:00–15:50 A320, V. Růžička
MB102/05: Wed 18:00–19:50 B204, P. Neubrandová
MB102/06: Mon 8:00–9:50 A320, J. Reiss
MB102/07: Mon 10:00–11:50 A320, J. Reiss
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2015
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Eva Janoušková, Ph.D. (seminar tutor)
Mgr. Paula Neubrandová (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Marek Sas (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Thu 14:00–15:50 D1, Thu 14:00–15:50 D3
  • Timetable of Seminar Groups:
MB102/T01: Mon 16. 2. to Fri 15. 5. Mon 12:20–13:55 106, E. Janoušková, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Thu 10:00–11:50 B204, P. Hasil
MB102/02: Thu 12:00–13:50 B204, P. Hasil
MB102/03: Mon 16:00–17:50 A320, V. Růžička
MB102/04: Mon 18:00–19:50 A320, V. Růžička
MB102/05: Mon 16:00–17:50 B204, M. Bačík
MB102/06: Mon 18:00–19:50 B204, M. Bačík
MB102/07: Wed 16:00–17:50 B204, P. Neubrandová
MB102/08: Wed 18:00–19:50 B204, P. Neubrandová
MB102/09: Thu 8:00–9:50 B204, M. Chvátal
MB102/10: Wed 14:00–15:50 A320, M. Bačík
MB102/11: Wed 12:00–13:50 B204, E. Janoušková
MB102/12: Wed 14:00–15:50 B204, E. Janoušková
MB102/13: Fri 8:00–9:50 B204, J. Reiss
MB102/14: Fri 12:00–13:50 B204, J. Reiss
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The students will be able:
to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable
understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
    not specified
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2014
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Marek Sas (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Fri 14:00–15:50 D2
  • Timetable of Seminar Groups:
MB102/T01: Mon 15. 9. to Fri 19. 12. Mon 8:00–9:35 Učebna S9 (55), Wed 8:00–9:35 Učebna S9 (55), Thu 2. 10. to Fri 19. 12. Thu 8:00–9:35 Učebna S9 (55), L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Thu 12:00–13:50 C525, V. Růžička
MB102/02: Thu 14:00–15:50 C525, V. Růžička
MB102/03: Tue 16:00–17:50 B204, M. Maračková
MB102/04: Tue 18:00–19:50 B204, M. Maračková
MB102/05: Tue 8:00–9:50 A320, M. Chvátal
MB102/06: Tue 18:00–19:50 A320, M. Chvátal
MB102/07: Wed 16:00–17:50 M2,01021, M. Sas
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • J. Slovák, M. Panák a kolektiv, Matematika drsně a svižně, učebnice v přípravě
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2014
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Eva Janoušková, Ph.D. (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Marek Sas (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Fri 8:00–9:50 D1, Fri 8:00–9:50 D3
  • Timetable of Seminar Groups:
MB102/01: Fri 10:00–11:50 G331, P. Hasil
MB102/02: Thu 12:00–13:50 G331, P. Hasil
MB102/03: Tue 12:00–13:50 G331, J. Reiss
MB102/04: Tue 14:00–15:50 G331, J. Reiss
MB102/05: Mon 12:00–13:50 G331, E. Janoušková
MB102/06: Mon 14:00–15:50 G331, E. Janoušková
MB102/07: Tue 16:00–17:50 G124, M. Sas
MB102/08: Tue 18:00–19:50 G124, M. Sas
MB102/09: Mon 8:00–9:50 G331, M. Chvátal
MB102/10: Mon 10:00–11:50 G331, M. Chvátal
MB102/11: Tue 12:00–13:50 G124, V. Růžička
MB102/12: Wed 12:00–13:50 G331, M. Maračková
MB102/13: Wed 14:00–15:50 G331, M. Maračková
MB102/14: Tue 14:00–15:50 G124, V. Růžička
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The students will be able:
to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable
understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
    not specified
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2013
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Zdeňka Geršlová (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (seminar tutor)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Marek Sas (seminar tutor)
Ing. Mgr. Petr Valenta (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Tue 16:00–17:50 D1
  • Timetable of Seminar Groups:
MB102/T01: Tue 17. 9. to Fri 20. 12. Tue 8:00–9:55 Učebna S4 (35a), Fri 20. 9. to Fri 20. 12. Fri 10:00–11:55 Učebna S2 (36b), Wed 25. 9. to Fri 20. 12. Wed 8:00–9:55 Učebna S6 (20), J. Hořanská, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Mon 18:00–19:50 M4,01024, P. Valenta
MB102/02: Tue 18:00–19:50 G125, M. Veselý
MB102/03: Fri 12:00–13:50 G125, V. Růžička
MB102/04: Fri 14:00–15:50 G125, V. Růžička
MB102/05: Tue 12:00–13:50 G125, M. Sas
MB102/06: Tue 14:00–15:50 G125, M. Sas
MB102/07: Thu 16:00–17:50 G125, M. Maračková
MB102/08: Thu 18:00–19:50 G125, M. Maračková
MB102/09: Thu 10:00–11:50 G331, Z. Geršlová
MB102/10: Thu 12:00–13:50 G331, Z. Geršlová
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • J. Slovák, M. Panák a kolektiv, Matematika drsně a svižně, učebnice v přípravě
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2013
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Veronika Bernhauerová, Ph.D. (seminar tutor)
Mgr. Zdeňka Geršlová (seminar tutor)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Jiří Janda, Ph.D. (seminar tutor)
Mgr. David Kruml, Ph.D. (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
RNDr. Jiří Pecl, Ph.D. (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Dr. Alexandru Emil Stanculescu, Ph.D. (seminar tutor)
Mgr. Kateřina Štekovičová (seminar tutor)
doc. Lukáš Vokřínek, PhD. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Mon 10:00–11:50 D1
  • Timetable of Seminar Groups:
MB102/T01: Mon 14:00–15:55 Učebna S6 (20), J. Pecl
MB102/T02: Tue 8:00–9:55 Učebna S6 (20), Thu 8:00–9:55 Učebna S11 (58), Fri 8:00–9:55 Učebna S5 (31), J. Hořanská
MB102/T03: Wed 9:00–10:55 Učebna S8 (17), J. Pecl
MB102/01: Tue 12:00–13:50 G125, M. Chvátal
MB102/02: Tue 14:00–15:50 G125, M. Chvátal
MB102/03: Wed 8:00–9:50 G125, M. Maračková
MB102/04: Wed 16:00–17:50 G124, V. Růžička
MB102/05: Wed 12:00–13:50 G125, L. Vokřínek
MB102/06: Wed 18:00–19:50 G124, V. Růžička
MB102/07: Mon 12:00–13:50 G125, Z. Geršlová
MB102/08: Mon 14:00–15:50 G125, Z. Geršlová
MB102/09: Wed 8:00–9:50 G123, D. Kruml
MB102/10: Wed 10:00–11:50 G123, D. Kruml
MB102/11: Mon 16:00–17:50 G124, J. Janda
MB102/12: Mon 16:00–17:50 G125, V. Bernhauerová
MB102/13: Mon 18:00–19:50 G125, V. Bernhauerová
MB102/14: Mon 18:00–19:50 G124, L. Vokřínek
MB102/15: Fri 8:00–9:50 G123, M. Bačík
MB102/16: Thu 14:00–15:50 G125, A. Stanculescu
Prerequisites
!NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The second part of the block of four courses in Mathematics. In the entire course, the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics are presented. This semester is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to deal with both practical and theoretical tasks related to the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite series of functions and power series.
Syllabus
  • 1. Creating the ZOO (4 weeks) – interpolation of data by polynomials and splines; scalar sequences,limits of sequenses and functions; continuity and derivatives; power series; elementary functions.
  • 2. Differential and integral Calculus (5 weeks) – higher order derivatives and Taylor expansion; extremes of functions; Riemann and Newton integration (area, volumes, etc.); numerical derivatives and integration.
  • 3. Continuous models (3 week) – aproximation of functions; Fourier series (including the numerical aspects); convolution (including the discrete version).
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
Lectures cover theory and illustrative solved problems. Seminar groups are devoted to solving problems.
Assessment methods
Lectures combining theory with explicit problem solving. Seminar groups devoted to solving numerical problems.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2012
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Veronika Bernhauerová, Ph.D. (seminar tutor)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Eva Janoušková, Ph.D. (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Michal Theuer, Ph.D. (seminar tutor)
Mgr. Iva Veselá, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
Mgr. Jan Meitner (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Tue 12:00–13:50 D2, Fri 12:00–13:50 D3
  • Timetable of Seminar Groups:
MB102/T02B: Tue 18. 9. to Fri 21. 12. Tue 10:00–11:55 Učebna S8 (17), J. Hořanská
MB102/T02BB: Thu 20. 9. to Fri 21. 12. Thu 10:00–11:55 Učebna S8 (17), J. Hořanská
MB102/T02BBB: Fri 21. 9. to Fri 21. 12. Fri 10:00–11:55 Učebna S2 (36b), J. Hořanská
MB102/T03C: Thu 20. 9. to Fri 21. 12. Thu 8:00–9:55 Učebna S7 (18), I. Veselá
MB102/T03CC: Wed 19. 9. to Fri 21. 12. Wed 8:00–9:55 Učebna S10 (56), I. Veselá
MB102/T03CCC: Fri 21. 9. to Fri 21. 12. Fri 8:00–9:55 Učebna S7 (18), I. Veselá
MB102/01: Tue 18:00–19:50 M5,01013, V. Bernhauerová
MB102/02: Wed 12:00–13:50 G123, V. Bernhauerová
MB102/03: Mon 8:00–9:50 G124, V. Růžička
MB102/04: Mon 10:00–11:50 G124, V. Růžička
MB102/05: Tue 16:00–17:50 G125, M. Theuer
MB102/06: Tue 18:00–19:50 G125, M. Theuer
MB102/07: Tue 8:00–9:50 G123, E. Janoušková
MB102/08: Tue 10:00–11:50 G123, E. Janoušková
Prerequisites
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of ininite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get ackquanted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures, practical demonstration of the computational aspects, and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2012
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Libor Báňa (seminar tutor)
Mgr. Veronika Bernhauerová, Ph.D. (seminar tutor)
RNDr. Mgr. Hana Haladová, Ph.D. (seminar tutor)
Mgr. Kateřina Hanžlová (seminar tutor)
Mgr. Hana Julínková (seminar tutor)
Mgr. Dagmar Lajdová (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
Mgr. Kateřina Štekovičová (seminar tutor)
Mgr. Vendula Švendová (seminar tutor)
Ing. Mgr. Petr Valenta (seminar tutor)
Mgr. Jan Meitner (assistant)
RNDr. Jan Vondra, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Wed 12:00–13:50 D1, Fri 12:00–13:50 D1, Fri 14:00–15:50 D2
  • Timetable of Seminar Groups:
MB102/01: Tue 14:00–15:50 G125, K. Hanžlová
MB102/02: Tue 16:00–17:50 G125, K. Hanžlová
MB102/03: Tue 12:00–13:50 G125, P. Valenta
MB102/04: Tue 8:00–9:50 G124, P. Valenta
MB102/05: Thu 8:00–9:50 G125, K. Štekovičová
MB102/06: Thu 10:00–11:50 G125, V. Švendová
MB102/07: Mon 16:00–17:50 G125, H. Haladová
MB102/08: Mon 12:00–13:50 G124, L. Báňa
MB102/09: Mon 14:00–15:50 G124, L. Báňa
MB102/10: Thu 18:00–19:50 G125, M. Maračková
MB102/11: Wed 16:00–17:50 G125, V. Bernhauerová
MB102/12: Wed 18:00–19:50 G125, V. Bernhauerová
MB102/13: Mon 18:00–19:50 G125, K. Štekovičová
MB102/14: Thu 12:00–13:50 G124, V. Švendová
MB102/15: Tue 18:00–19:50 G125, D. Lajdová
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
Lecture about the theory with illustrative solved problems. Special illustrative solved problems given in a separate lecture. Seminar groups devoted to solving numerical problems.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Autumn 2011
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Michal Bulant, Ph.D. (lecturer)
Mgr. Petr Pupík (lecturer)
Mgr. Lenka Mžourková Macálková (seminar tutor)
Mgr. Iva Veselá, Ph.D. (seminar tutor)
Mgr. Milan Werl, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 18:00–19:50 D2, Wed 12:00–13:50 D2
  • Timetable of Seminar Groups:
MB102/01: Wed 8:00–9:50 G125, M. Werl
MB102/02: Wed 10:00–11:50 G125, M. Werl
MB102/03: Mon 12:00–13:50 G125, L. Mžourková Macálková
MB102/04: Mon 14:00–15:50 G125, L. Mžourková Macálková
MB102/05: Thu 18:00–19:50 B410, P. Pupík
MB102/06: Tue 12:00–13:50 M5,01013, L. Mžourková Macálková
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of ininite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get ackquanted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Indefinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures, practical demonstration of the computational aspects, and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are 4-6 half an hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2011
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Martin Panák, Ph.D. (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
Mgr. Jan Gregorovič, Ph.D. (seminar tutor)
Mgr. Jiří Janda, Ph.D. (seminar tutor)
Mgr. Hana Julínková (seminar tutor)
Mgr. Jan Meitner (seminar tutor)
doc. Mgr. Josef Šilhan, Ph.D. (seminar tutor)
Mgr. Radek Šlesinger, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 14:00–15:50 D1, Tue 8:00–9:50 D1, Tue 14:00–15:50 D1
  • Timetable of Seminar Groups:
MB102/01: Thu 12:00–13:50 G124, J. Šilhan
MB102/02: Thu 14:00–15:50 G124, J. Šilhan
MB102/03: Wed 12:00–13:50 G125, J. Janda
MB102/04: Wed 14:00–15:50 G125, J. Janda
MB102/05: Wed 16:00–17:50 G125, J. Meitner
MB102/06: Wed 18:00–19:50 G125, J. Meitner
MB102/07: Fri 8:00–9:50 G125, H. Julínková
MB102/08: Fri 10:00–11:50 G125, H. Julínková
MB102/09: Thu 16:00–17:50 G124, R. Šlesinger
MB102/10: Thu 18:00–19:50 G124, R. Šlesinger
MB102/11: Thu 12:00–13:50 G125, J. Gregorovič
MB102/12: Thu 14:00–15:50 G125, J. Gregorovič
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
Lecture about the theory with illustrative solved problems. Special illustrative solved problems given in a separate lecture. Seminar groups devoted to solving numerical problems.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Autumn 2010
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Josef Šilhan, Ph.D. (lecturer)
Mgr. Libor Báňa (seminar tutor)
Mgr. Karolína Malá (seminar tutor)
Mgr. František Plaček (seminar tutor)
Mgr. Iva Veselá, Ph.D. (seminar tutor)
doc. Mgr. Ondřej Klíma, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Wed 8:00–9:50 D2, Fri 8:00–9:50 D2
  • Timetable of Seminar Groups:
MB102/01: Thu 16:00–17:50 B003, F. Plaček
MB102/02: Thu 18:00–19:50 B003, F. Plaček
MB102/03: Mon 16:00–17:50 B007, L. Báňa
MB102/04: Mon 18:00–19:50 B007, L. Báňa
MB102/05: Mon 18:00–19:50 C525, K. Malá
MB102/06: Tue 14:00–15:50 B003, K. Malá
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 18 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of ininite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get ackquanted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Indefinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures, practical demonstration of the computational aspects, and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are 4-6 half an hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2010
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
doc. RNDr. Ladislav Adamec, CSc. (seminar tutor)
Mgr. Libor Báňa (seminar tutor)
Mgr. Jan Gregorovič, Ph.D. (seminar tutor)
Mgr. Hana Julínková (seminar tutor)
doc. RNDr. Martin Kolář, Ph.D. (seminar tutor)
RNDr. Jana Krejčová, Ph.D., DiS. (seminar tutor)
Mgr. Zdeněk Moravec (seminar tutor)
Mgr. Radek Šlesinger, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 8:00–9:50 D1, Mon 8:00–9:50 D2, Fri 12:00–13:50 D1, Fri 15:00–16:50 D2
  • Timetable of Seminar Groups:
MB102/01: Thu 14:00–15:50 B003, J. Gregorovič
MB102/02: Tue 16:00–17:50 B007, H. Julínková, R. Šlesinger
MB102/03: Thu 8:00–9:50 B003, M. Kolář
MB102/04: Thu 10:00–11:50 B003, M. Kolář
MB102/05: Mon 10:00–11:50 B003, L. Báňa
MB102/06: Tue 12:00–13:50 B007, L. Adamec
MB102/07: Tue 14:00–15:50 B007, L. Adamec
MB102/08: Thu 8:00–9:50 B007, J. Krejčová
MB102/09: Thu 10:00–11:50 B007, J. Krejčová
MB102/10: Wed 12:00–13:50 B003, R. Šlesinger
MB102/11: Thu 16:00–17:50 B007, R. Šlesinger
MB102/12: Mon 10:00–11:50 B011, R. Šimon Hilscher
MB102/13: Mon 12:00–13:50 B007, Z. Moravec
MB102/14: Mon 14:00–15:50 B007, Z. Moravec
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
Lecture about the theory with illustrative solved problems. Special illustrative solved problems given in a separate lecture. Seminar groups devoted to solving numerical problems.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Autumn 2009
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Martin Panák, Ph.D. (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
Mgr. Jakub Čupera, Ph.D. (seminar tutor)
Mgr. Zdeněk Moravec (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Tue 16:00–17:50 D2, Wed 8:00–9:50 D2
  • Timetable of Seminar Groups:
MB102/01: Fri 12:00–13:50 B003, J. Čupera
MB102/02: Tue 14:00–15:50 C525, J. Čupera
MB102/03: Fri 12:00–13:50 B007, Z. Moravec
MB102/04: Fri 14:00–15:50 B007, Z. Moravec
MB102/05: Fri 10:00–11:50 C511, M. Panák
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 16 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of ininite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get ackquanted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Indefinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures, practical demonstration of the computational aspects, and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2009
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Vojtěch Kubáň, Ph.D. (seminar tutor)
Mgr. Petr Liška, Ph.D. (seminar tutor)
Mgr. Jan Meitner (seminar tutor)
doc. RNDr. Petr Novotný, Ph.D. (seminar tutor)
Ing. Mgr. Petr Valenta (seminar tutor)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 8:00–9:50 D1, Wed 14:00–15:50 D1, Wed 16:00–17:50 D1
  • Timetable of Seminar Groups:
MB102/01: Mon 18:00–19:50 B003, P. Liška
MB102/02: Tue 8:00–9:50 B007, P. Liška
MB102/03: Wed 16:00–17:50 B003, J. Meitner
MB102/04: Wed 18:00–19:50 B003, J. Meitner
MB102/05: Tue 8:00–9:50 B003, V. Kubáň
MB102/06: Tue 10:00–11:50 B003, V. Kubáň
MB102/07: Fri 8:00–9:50 B011, P. Novotný
MB102/08: Fri 10:00–11:50 B011, P. Novotný
MB102/09: Thu 8:00–9:50 B007, J. Meitner
MB102/10: Wed 12:00–13:50 B007, P. Zemánek
MB102/11: Fri 8:00–9:50 C511, P. Valenta
MB102/12: Fri 14:00–15:50 B007, P. Valenta
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
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, Autumn 2007, Spring 2008, Autumn 2008, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Autumn 2008
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Michal Bulant, Ph.D. (lecturer)
prof. Mgr. Petr Hasil, Ph.D. (seminar tutor)
Mgr. Petr Pupík (seminar tutor)
Mgr. Silvie Zlatošová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Tue 8:00–9:50 D2, Wed 18:00–19:50 D2
  • Timetable of Seminar Groups:
MB102/01: Tue 10:00–11:50 B007, P. Hasil
MB102/02: Tue 12:00–13:50 B003, S. Zlatošová
MB102/03: Tue 12:00–13:50 B007, P. Pupík
MB102/04: Thu 18:00–19:50 B011, P. Pupík
MB102/05: Tue 14:00–15:50 B003, S. Zlatošová
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of ininite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get ackquanted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Indefinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught each semester.
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, Autumn 2007, Spring 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2008
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Martin Panák, Ph.D. (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
RNDr. Mgr. Jana Dražanová, Ph.D. (seminar tutor)
Mgr. Jan Gregorovič, Ph.D. (seminar tutor)
doc. Mgr. Jaroslav Hrdina, Ph.D. (seminar tutor)
Mgr. Bc. Jaromír Kuben (seminar tutor)
Mgr. František Plaček (seminar tutor)
Mgr. Michal Bulant, Ph.D. (alternate examiner)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 14:00–15:50 D1, Mon 14:00–15:50 D3, Tue 16:00–17:50 D3, Tue 18:00–19:50 D2
  • Timetable of Seminar Groups:
MB102/01: Wed 8:00–9:50 B007, J. Hrdina
MB102/02: Wed 10:00–11:50 B007, J. Hrdina
MB102/03: Thu 16:00–17:50 B003, F. Plaček
MB102/04: Thu 14:00–15:50 B007, F. Plaček
MB102/05: Fri 8:00–9:50 B003, J. Gregorovič
MB102/06: Fri 10:00–11:50 B003, J. Gregorovič
MB102/07: Thu 8:00–9:50 B003, J. Dražanová
MB102/08: Thu 10:00–11:50 B003, J. Dražanová
MB102/09: Thu 18:00–19:50 B007, J. Kuben
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and analysis, including their application in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Syllabus
  • Polynomial interpolation & derivation of polynomials & cubic splines & continuous functions and limits & basics on derivation & power series & elementary functions & Taylor series & Riemann integral & Fourier series & integral transformation
Literature
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • ŠIK, František. Algebra. Praha: Státní pedagogické nakladatelství, 1965, 94 s. info
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods (in Czech)
Dvouhodinová přednáška a dvouhodinové přednášení ukázkových řešení úloh, spolu s cvičením. Zakončení písemnou zkouškou. Výsledky ze cvičení se částečně přenášejí do hodnocení zkoušky.
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, Autumn 2007, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Autumn 2007
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Zuzana Došlá, DSc. (lecturer)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Petr Pupík (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Thu 8:00–9:50 D1, Fri 12:00–13:50 D3
  • Timetable of Seminar Groups:
MB102/01: Tue 8:00–9:50 B003, M. Veselý
MB102/02: Tue 10:00–11:50 B003, M. Veselý
MB102/03: Tue 18:00–19:50 B204, P. Pupík
MB102/04: Thu 18:00–19:50 B410, P. Pupík
Prerequisites (in Czech)
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry 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
there are 15 fields of study the course is directly associated with, display
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Language of instruction
Czech
Further Comments
Study Materials
The course is taught each semester.
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, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2007
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
prof. Mgr. Petr Hasil, Ph.D. (seminar tutor)
Mgr. Václav Pink, Ph.D. (seminar tutor)
Mgr. František Plaček (seminar tutor)
Mgr. Stepan Sukovych (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (seminar tutor)
Mgr. Jiří Vítovec, Ph.D. (seminar tutor)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 10:00–11:50 D1, Mon 10:00–11:50 D2, Tue 14:00–15:50 D1, Tue 16:00–17:50 D1
  • Timetable of Seminar Groups:
MB102/01: Thu 12:00–13:50 B003, V. Pink
MB102/02: Thu 14:00–15:50 B003, V. Pink
MB102/03: Mon 12:00–13:50 B003, S. Sukovych
MB102/04: Mon 14:00–15:50 B003, S. Sukovych
MB102/05: Thu 16:00–17:50 B003, F. Plaček
MB102/06: Thu 18:00–19:50 B003, F. Plaček
MB102/07: Thu 8:00–9:50 B011, J. Vítovec
MB102/08: Thu 10:00–11:50 B011, J. Vítovec
MB102/09: Fri 10:00–11:50 B007, M. Veselý
MB102/10: Fri 12:00–13:50 B007, M. Veselý
MB102/11: Fri 8:00–9:50 B003, P. Zemánek
MB102/12: Fri 10:00–11:50 B003, P. Zemánek
Prerequisites
! M003 Linear Algebra and Geometry I &&! M503 Linear Algebra and Geometry I && ! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 10 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and analysis, including their application in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Syllabus
  • Polynomial interpolation & derivation of polynomials & cubic splines & continuous functions and limits & basics on derivation & power series & elementary functions & Taylor series & Riemann integral & Fourier series & ordinary differential equations & integral transformation & splines & numerical methods for ODE's & numerical methods for integration
Literature
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • ŠIK, František. Algebra. Praha: Státní pedagogické nakladatelství, 1965, 94 s. info
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods (in Czech)
Dvouhodinová přednáška a dvouhodinové přednášení ukázkových řešení úloh, spolu s cvičením. Zakončení písemnou zkouškou. Výsledky ze cvičení se částečně přenášejí do hodnocení zkoušky.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2006
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Martin Panák, Ph.D. (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
Ing. Mgr. Dávid Dereník (seminar tutor)
Mgr. Barbora Havířová, Ph.D. (seminar tutor)
Mgr. Zdeňka Hencová (seminar tutor)
Mgr. David Kruml, Ph.D. (seminar tutor)
Mgr. Tomáš Lipenský (seminar tutor)
Mgr. et Mgr. Lukáš Maňásek (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
doc. Mgr. Aleš Návrat, Dr. rer. nat. (seminar tutor)
RNDr. Veronika Svobodová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 14:00–15:50 D1, Mon 14:00–15:50 D3, Tue 14:00–15:50 D1, Tue 14:00–15:50 D3
  • Timetable of Seminar Groups:
MB102/sc: Mon 12:00–13:50 C501, Tue 9:00–10:50 C501, D. Dereník
MB102/sp: Thu 10:00–11:50 C511, V. Svobodová
MB102/01: Fri 10:00–11:50 B007, T. Lipenský
MB102/02: Fri 12:00–13:50 B007, T. Lipenský
MB102/03: Thu 8:00–9:50 B007, A. Návrat
MB102/04: Thu 10:00–11:50 B007, A. Návrat
MB102/05: Wed 12:00–13:50 B003, D. Dereník
MB102/06: Wed 14:00–15:50 B003, D. Dereník
MB102/07: Wed 16:00–17:50 B003, Z. Hencová
MB102/08: Wed 18:00–19:50 B003, Z. Hencová
MB102/09: Wed 12:00–13:50 B011, D. Kruml
MB102/10: Wed 16:00–17:50 B007, B. Havířová
Prerequisites
! M003 Linear Algebra and Geometry I &&! M503 Linear Algebra and Geometry I && ! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 10 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and analysis, including their application in probability, statistics, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Syllabus
  • Polynomial interpolation & derivation of polynomials & cubic splines & continuous functions and limits & basics on derivation & power series & elementary functions & Taylor series & Riemann integral & Fourier series & ordinary differential equations & integral transformation & splines & numerical methods for ODE's & numerical methods for integration
Literature
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • ŠIK, František. Algebra. Praha: Státní pedagogické nakladatelství, 1965, 94 s. info
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods (in Czech)
Dvouhodinová přednáška a cvičení zakončené písemnou zkouškou.
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 2007, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2005
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Ondřej Klíma, Ph.D. (lecturer)
doc. Mgr. Jaroslav Hrdina, Ph.D. (seminar tutor)
Mgr. David Kruml, Ph.D. (seminar tutor)
Mgr. Tomáš Lipenský (seminar tutor)
Mgr. Jan Pavlík, Ph.D. (seminar tutor)
Mgr. Eva Pellarová (seminar tutor)
RNDr. Veronika Svobodová, Ph.D. (seminar tutor)
RNDr. Lenka Viskotová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Ondřej Došlý, DrSc.
Faculty of Informatics
Contact Person: doc. Mgr. Ondřej Klíma, Ph.D.
Timetable
Mon 9:00–10:50 D2, Mon 9:00–10:50 D1
  • Timetable of Seminar Groups:
MB102/01: Mon 11:00–12:50 B003, O. Klíma
MB102/02: Wed 14:00–15:50 B007, D. Kruml
MB102/03: Wed 16:00–17:50 B007, D. Kruml
MB102/04: Mon 15:00–16:50 B007, J. Pavlík
MB102/05: Mon 13:00–14:50 B007, J. Pavlík
MB102/06: Tue 14:00–15:50 B003, V. Svobodová
MB102/07: Tue 16:00–17:50 B003, V. Svobodová
MB102/08: Tue 10:00–11:50 B003, E. Pellarová
MB102/09: Tue 12:00–13:50 B003, E. Pellarová
MB102/10: Thu 16:00–17:50 B011, L. Viskotová
Prerequisites
! M003 Linear Algebra and Geometry I &&! M503 Linear Algebra and Geometry I && ! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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 11 fields of study the course is directly associated with, display
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and analysis, including their application in probability, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts from ring and field theory, with polynomials and rational functions, and mainly with the fundamentals of linear algebra.
Syllabus
  • Rings and fields.
  • Rings of polynomials.
  • Divisibility of polynomials, Euclidean algorithm, irreducible polynomials.
  • Roots of polynomials.
  • Rational functions, decomposition to partial fractions.
  • Matrices, algebra of matrices, rings of matrices.
  • Determinants, Laplace theorem.
  • Vector spaces, subspaces of vector spaces.
  • Linear dependence of vectors, basis and dimension of vector spaces.
  • Rank of matrices.
  • Regular matrices and inverse matrices.
  • Systems of linear equations, Frobenius theorem, Cramer rule, Gauss elimination method.
  • Linear mappings and linear transforms of vector spaces.
Literature
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • ŠIK, František. Algebra. Praha: Státní pedagogické nakladatelství, 1965, 94 s. info
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods (in Czech)
Dvouhodinová přednáška a cvičení. Zkouška je písemná a má tři části- dva testy během semestru (2krát 10%) a závěrečná písemka(80%) ve zkouškovém období. Budou právě 4 termíny ve zkouškovém - 2 řádné, první opravný a druhý opravný. K připuštění ke zkoušce je třeba získat zápočet ze cvičení. Ten je podmíněn účastí, jsou dovoleny tři neomluvené neúčasti (a tři omluvené).
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 2006, Spring 2007, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2004
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jiří Kaďourek, CSc. (lecturer)
RNDr. Kateřina Dvořáková, Ph.D. (seminar tutor)
Mgr. Jan Pavlík, Ph.D. (seminar tutor)
RNDr. Blanka Sedlačíková, Ph.D. (seminar tutor)
RNDr. Veronika Svobodová, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
doc. Mgr. Lenka Zalabová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Ondřej Došlý, DrSc.
Faculty of Informatics
Contact Person: doc. RNDr. Jiří Kaďourek, CSc.
Timetable
Mon 8:00–9:50 D1
  • Timetable of Seminar Groups:
MB102/01: Mon 14:00–15:50 B003, J. Kaďourek
MB102/02: Mon 18:00–19:50 B003, K. Dvořáková
MB102/03: Mon 16:00–17:50 B003, K. Dvořáková
MB102/04: Mon 12:00–13:50 B003, J. Pavlík
MB102/05: Mon 10:00–11:50 B003, J. Pavlík
MB102/06: Tue 16:00–17:50 B007, J. Vondra
MB102/07: Tue 14:00–15:50 B007, J. Vondra
MB102/08: Wed 14:00–15:50 B007, V. Svobodová
MB102/09: Wed 12:00–13:50 B007, V. Svobodová
MB102/10: Tue 10:00–11:50 B003, B. Sedlačíková
MB102/11: Fri 10:00–11:50 B003, L. Zalabová
MB102/12: Fri 8:00–9:50 B003, L. Zalabová
Prerequisites
! M003 Linear Algebra and Geometry I &&! M503 Linear Algebra and Geometry I && ! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and analysis, including their application in probability, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts from ring and field theory, with polynomials and rational functions, and mainly with the fundamentals of linear algebra.
Syllabus
  • Rings and fields.
  • Rings of polynomials.
  • Divisibility of polynomials, Euclidean algorithm, irreducible polynomials.
  • Roots of polynomials.
  • Rational functions, decomposition to partial fractions.
  • Matrices, algebra of matrices, rings of matrices.
  • Determinants, Laplace theorem.
  • Vector spaces, subspaces of vector spaces.
  • Linear dependence of vectors, basis and dimension of vector spaces.
  • Rank of matrices.
  • Regular matrices and inverse matrices.
  • Systems of linear equations, Frobenius theorem, Cramer rule, Gauss elimination method.
  • Linear mappings and linear transforms of vector spaces.
Literature
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • ŠIK, František. Algebra. Praha: Státní pedagogické nakladatelství, 1965, 94 s. info
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods (in Czech)
Dvouhodinová přednáška a cvičení zakončené písemnou zkouškou.
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 2005, Spring 2006, Spring 2007, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Mathematics II

Faculty of Informatics
Spring 2003
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jiří Kaďourek, CSc. (lecturer)
Mgr. David Kruml, Ph.D. (lecturer)
doc. Mgr. Jaroslav Hrdina, Ph.D. (seminar tutor)
Mgr. Andrea Pavliňáková (seminar tutor)
Mgr. Daniel Vybíral (seminar tutor)
doc. Mgr. Lenka Zalabová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Ondřej Došlý, DrSc.
Faculty of Informatics
Contact Person: doc. RNDr. Jiří Kaďourek, CSc.
Timetable
Thu 15:00–16:50 D1
  • Timetable of Seminar Groups:
MB102/01: Mon 9:00–10:50 B003, A. Pavliňáková
MB102/02: Mon 11:00–12:50 B003, A. Pavliňáková
MB102/03: Tue 16:00–17:50 B007, A. Pavliňáková
MB102/04: Tue 18:00–19:50 B007, A. Pavliňáková
MB102/05: Tue 8:00–9:50 B007, J. Hrdina
MB102/06: Tue 10:00–11:50 B007, J. Hrdina
MB102/07: Mon 14:00–15:50 B003, L. Zalabová
MB102/08: Mon 16:00–17:50 B003, D. Vybíral
MB102/09: Wed 9:00–10:50 B003, L. Zalabová
Prerequisites
! M003 Linear Algebra and Geometry I &&! M503 Linear Algebra and Geometry I && ! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
High school mathematics.
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
Course objectives
The second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and analysis, including their application in probability, and graph theory are presented. The course Mathematics II, in particular, is concerned with the basic concepts from ring and field theory, with polynomials and rational functions, and mainly with the fundamentals of linear algebra.
Syllabus
  • Rings and fields.
  • Rings of polynomials.
  • Divisibility of polynomials, Euclidean algorithm, irreducible polynomials.
  • Roots of polynomials.
  • Rational functions, decomposition to partial fractions.
  • Matrices, algebra of matrices, rings of matrices.
  • Determinants, Laplace theorem.
  • Vector spaces, subspaces of vector spaces.
  • Linear dependence of vectors, basis and dimension of vector spaces.
  • Rank of matrices.
  • Regular matrices and inverse matrices.
  • Systems of linear equations, Frobenius theorem, Cramer rule, Gauss elimination method.
  • Linear mappings and linear transforms of vector spaces.
Literature
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • ŠIK, František. Algebra. Praha: Státní pedagogické nakladatelství, 1965, 94 s. info
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Assessment methods (in Czech)
Dvouhodinová přednáška a cvičení zakončené písemnou zkouškou.
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 2004, Spring 2005, Spring 2006, Spring 2007, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2021

The course is not taught in Autumn 2021

Extent and Intensity
2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 53 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.

MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2020

The course is not taught in Autumn 2020

Extent and Intensity
2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Prerequisites
! NOW( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics
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 53 fields of study the course is directly associated with, display
Course objectives
The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems.
Syllabus
  • Polynomial interpolation
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught each semester.
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, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.
  • Enrolment Statistics (recent)