Calculus 1

Course guarantor:

Ondřej Navrátil

Lecturer:

Romana Zibnerová

Tutor:

Romana Zibnerová

Supervisor:

Department Děčín

Synopsis:

Sequence of real numbers and its limit. Basic properties of mappings. Function of one real variable, its limit and derivative. Indefinite integral, Newton integral, Riemann integral, improper Riemann integral. First-order differential equations, linear differential equations.

Requirements:

secondary school mathematics at graduation level

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Introduce the basic ideas and methods of differential and integral calculus and its applications to problems encountered in further study.

Study materials:

Nagy J., Navrátil O.: Matematická analýza, Praha, skriptum FD ČVUT, 2017

Nagy J., Navrátil O.: Diferenciální a integrální počet funkcí více proměnných, Praha, skriptum FD ČVUT, 2005

Rektorys K. a kol.: Přehled užité matematiky, Praha, SNTL, 1968

Bartsch H.J.: Matematické vzorce, Praha, Mladá fronta, 1996

Note:

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed	roomDP:132 Zibnerová R. 08:00–09:30 (lecture parallel111) Decin roomDP:132 Zibnerová R. 09:45–13:00 (parallel nr.111) Decin
Thu
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Bachelor TET-LOG Part-Time from 2022/23 (compulsory course)
• Bachelor TET-LOG Part-Time from 2023/24 (compulsory course)
• Bachelor TET-DOS Full-Time from 2023/24 (compulsory course)
• Bachelor TET Common Part of Study Full-Time from 2024/25 (compulsory course)
• Bachelor TET-DOS Full-Time from 2024/25 (compulsory course)