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PřF:MUC11 Mathematical Analysis 1 - Course Information

## MUC11 Mathematical Analysis 1

**Faculty of Science**

autumn 2021

**Extent and Intensity**- 2/2/0. 4 credit(s). Type of Completion: zk (examination).

Taught in person. **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:

*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 - JARNÍK, Vojtěch.
*Diferenciální počet (I)*. 6. vyd. Praha: Academia, 1974. 391 s. info - NOVÁK, Vítězslav.
*Diferenciální počet v R*. 2. přeprac. vyd. Brno: Masarykova univerzita, 1997. 231 s. ISBN 8021015616. info

- DOŠLÁ, Zuzana and Jaromír KUBEN.
**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.

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/sci/autumn2021/MUC11