Calculus 1

Course guarantor:

Lecturer:

Tutor:

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:

Further information:

No time-table has been prepared for this course

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)