MUC11 Mathematical Analysis 1

Faculty of Science
Autumn 2026
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
Mgr. Petr Liška, Ph.D. (lecturer)
Guaranteed by
Mgr. Petr Liška, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
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 7 fields of study the course is directly associated with, display
Abstract
At the end of the course, students should be able to understand and explain basic definitons and results of differential calculus and apply them to concrete analysis of functions.
Learning outcomes
At the end of the course, students should be able to understand and explain basic definitons and results of differential calculus and apply them to concrete analysis of functions.
Key topics
Elementary functions. Differential calculus of one variable (limit and continuity, derivative, investigation of the graphs of functions, differential of a function, Taylor polynomial). Sequences, fundamentals of difference calculus and sumations.
Study resources and literature
    recommended literature
  • 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
  • ZEMÁNEK, Petr and Petr HASIL. Sbírka řešených příkladů z matematické analýzy I. 2., aktual. vyd. Brno: Masarykova univerzita, 2010. Elportál. ISSN 1802-128X. PURL, url info
    not specified
  • STEWART, James. Calculus. 9th edition. Cengage Learning, 2020, 1408 p. ISBN 978-1337624183
  • DOŠLÁ, Zuzana. Matematika pro chemiky. 1. vyd. Brno: Masarykova univerzita, 2011, vi, 125. ISBN 9788021054325. info
Approaches, practices, and methods used in teaching
Standard lecture complemented with an excercise to teach students needed computionals skills.
Method of verifying learning outcomes and course completion requirements
The course is concluded with an exam consisting of a written and an oral part (at least half of the points must be obtained in the written part). To be admitted to the exam, three correctly completed homework assignments must be submitted.
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course is taught annually.
The course is taught every week.
The course is also listed under the following terms Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024, Autumn 2025.
  • Enrolment Statistics (Autumn 2026, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2026/MUC11