MB142 Applied math analysis

Faculty of Informatics
Autumn 2024
Extent and Intensity
2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Pavel Francírek, Ph.D. (seminar tutor)
Mgr. Ludmila Linhartová (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
Mgr. Matouš Trnka (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (alternate examiner)
Guaranteed by
doc. RNDr. Michal Veselý, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
! MB152 Calculus && ! NOW ( MB152 Calculus )
High school mathematics. Remark: MB142 is a lightweight version of MB152, so it can be replaced by completing the full course.
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 36 fields of study the course is directly associated with, display
Course objectives
This is a basic course of mathematical analysis. The content is differential and integral calculus and infinite series. Students will understand fundamental methods and will be able to apply these methods to concrete problems.
Learning outcomes
At the end of the course students will be able to:
work with the derivative and (indefinite and definite) integral;
analyse the behaviour of functions;
understand the use of infinite number series and power series;
understand selected applications of the calculus;
apply the methods of the calculus to concrete problems.
Syllabus
  • Continuous functions and limits
  • Derivatives of functions with applications
  • Indefinite integrals
  • Riemann integral and its applications
  • Series
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
  • 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
Teaching methods
There are lectures and tutorials
Assessment methods
Two hours of lectures per week and two hours of compulsory exercises/seminar group. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises) less than 2 points, are graded as X and they do not proceed to the final examination. The final exam is written for max 40 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (recent)
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