M2222 Fundamentals of Mathematical Analysis

Faculty of Science
Spring 2023
Extent and Intensity
4/2/0. 6 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
Guaranteed by
prof. Mgr. Petr Hasil, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 14:00–15:50 MS1,01016, Fri 14:00–15:50 M6,01011
  • Timetable of Seminar Groups:
M2222/01: Fri 16:00–17:50 M6,01011, J. Šišoláková
Prerequisites
! M1100 Mathematical Analysis I && ! M1101 Mathematical Analysis I
High school mathematics
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
This is a basic course of mathematical analysis, where the content is differential and integral calculus and infinite series. Students will understand practical methods and will be able to apply these methods to concrete problems. The course places more emphasis on examples.
Learning outcomes
At the end of the course, students will be able to:
work practically 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
    not specified
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. 3. vyd. Brno: Masarykova univerzita, 2013, iv, 113. ISBN 9788021064164. info
  • DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). 2. vyd. Brno: Masarykova univerzita, 2012, vi, 209. ISBN 9788021058149. info
  • DOŠLÝ, Ondřej and Petr ZEMÁNEK. Integrální počet v R (Integral Calculus in R). 1. vydání. Brno: Masarykova univerzita, 2011, 222 pp. ISBN 978-80-210-5635-0. info
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. 1. dotisk 3. vyd. Brno: Masarykova univerzita, 2010, 144 pp. ISBN 978-80-210-4159-2. info
Teaching methods
There are lectures and tutorials
Assessment methods
Four hours of lectures and two hours of seminars. 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 once in two years.
The course is also listed under the following terms Spring 2021.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2023/M2222