MUC11 Mathematical Analysis 1

Faculty of Science
autumn 2021
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Petr Liška, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaromír Šimša, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 16:00–17:50 M1,01017
  • Timetable of Seminar Groups:
MUC11/01: Wed 18:00–19:50 M5,01013, P. Liška
MUC11/02: Thu 18:00–19:50 M3,01023, P. Liška
MUC11/03: Wed 16:00–17:50 M5,01013, P. Liška
MUC11/04: Thu 16:00–17:50 M3,01023, 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 notions and results of differential calculus a and apply them to concrete function analysis.
Learning outcomes
At the end of the course students should be able to understand and explain basic notions and results of differential calculus a and apply them to concrete function analysis.
Syllabus
  • Real numbers. Sequences and elementary functions. Differential calculus of one variable (limit and continuity, derivative, investigation of the graphs of functions, differential of a functions, Taylor polynomial a and derivative formula for remainder).
Literature
  • DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
  • NOVÁK, Vítězslav. Diferenciální počet v R. 2. přeprac. vyd. Brno: Masarykova univerzita, 1997, 231 s. ISBN 8021015616. info
Teaching methods
Standard lecture complemented with an excercise to teach students needed computionals skills. Lecture and excercises are hold in person. In case of restrictions both will be held online via MS Teams.
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 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (autumn 2021, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2021/MUC11