MUC11 Mathematical Analysis 1

Faculty of Science
Autumn 2023
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Petr Liška, Ph.D. (seminar tutor)
Bc. Tomáš Škaryd (assistant)
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
Timetable
Wed 8:00–9:50 M1,01017
  • Timetable of Seminar Groups:
MUC11/01: Thu 12:00–13:50 M4,01024, P. Liška
MUC11/02: Wed 12:00–13:50 M4,01024, P. Liška
MUC11/03: Fri 10:00–11:50 M5,01013, P. Liška
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
Course objectives
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.
Syllabus
  • Real numbers. Elementary functions. Differential calculus of one variable (limit and continuity, derivative, investigation of the graphs of functions, differential of a function, Taylor polynomial a and derivative formula for the remainder). Sequences, fundamentals of difference calculus and sumations.
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. url PURL info
    not specified
  • STEWART, James. Calculus. 9th edition. Cengage Learning, 2020, 1408 p. ISBN 978-1337624183
Teaching methods
Standard lecture complemented with an excercise to teach students needed computionals skills.
Assessment methods
Completion is firstly based on two tests written during the semester. It is required to obtain at least 50% of points in each test. Exam: written and oral. It is necessary to obtain at least 50% of points from the total amount of the written exam.
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2024.
  • Enrolment Statistics (Autumn 2023, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2023/MUC11