MA0004 Mathematical Analysis 1

Faculty of Education
Spring 2025
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
doc. Dr. András Rontó (lecturer)
doc. RNDr. Jaroslav Beránek, CSc. (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
doc. Dr. András Rontó (seminar tutor)
Guaranteed by
doc. Dr. András Rontó
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Course Enrolment Limitations
The course is only offered to the students of the study fields 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
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (Spring 2025, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2025/MA0004