MA0004 Mathematical Analysis 1

Faculty of Education
Spring 2023
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Karel Lepka, Dr. (lecturer)
Mgr. Lukáš Másilko (seminar tutor)
Mgr. Lenka Pavlíčková, Ph.D. (seminar tutor)
doc. Dr. András Rontó (seminar tutor)
Guaranteed by
RNDr. Karel Lepka, Dr.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Thu 16:00–17:50 učebna 30
  • Timetable of Seminar Groups:
MA0004/01: Thu 10:00–11:50 učebna 2, A. Rontó
MA0004/02: Mon 14:00–15:50 učebna 34, L. Másilko
MA0004/03: Mon 12:00–13:50 učebna 34, L. Másilko
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
In the end of the course student mamages basic knowledge of the calculus. The SS will actively use the concepts in problem solving, in their follow-up study at the faculty and in their own lessons as school teachers.
Learning outcomes
Na konci tohoto kursu student zvládne základy diferenciálního počtu funkce jedné a dvou proměnných.
Syllabus
  • Progressions, character, limit of progression, mass point, limit superior and inferior.
  • Limits of function.
  • Continuity function.
  • Derivation of function: definition, geometric and physical interpretation.
  • Theorems about average validity. L'Hospital theorem. Aproximation of function.
  • Another applications of derivation: monotonion, extrems , convection, concavity, inflection points.
  • Investigation of course function.
  • Function two variables.
  • Limits and continuity functions two variables.
  • Partial derivation.
  • Local extrems function two variables.
  • Global extrems function two variables. Applicatoion.
Literature
  • DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné. 1. vyd. Brno: Masarykova univerzita, 2003, 209 s. ISBN 8021031212. info
  • PLCH, Roman. Limita funkce dvou proměnných s programem Maple V. In Počítačem podporovaná výuka matematiky a příprava didaktického experimentu. 1. vydání. Plzeň: Pedagogické centrum Plzeň, 1998, p. 79-96. ISBN 80-7020-040-5. URL info
Teaching methods
Lectures
Assessment methods
Written and oral examen
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2023, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2023/MA0004