Calculus 2

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Code	Completion	Credits	Range	Language
11CAL2	Z,ZK	5	2P+3C+20B	Czech

Course guarantor:

Magdalena Hykšová, Ondřej Navrátil, Olga Vraštilová

Lecturer:

Oldřich Hykš, Magdalena Hykšová, Ondřej Navrátil, Tomáš Třasák, Olga Vraštilová

Tutor:

Oldřich Hykš, Magdalena Hykšová, Ondřej Navrátil, Tomáš Třasák, Olga Vraštilová

Supervisor:

Department of Applied Mathematics

Synopsis:

Linear differential equations and their systems, differential calculus of functions of several real variables. Riemann integral in Rn. Line and surface integrals.

Requirements:

differential calculus at the level of the course Calculus 1

linear algebra at the level of the course Linear algebra

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Basic ideas and methods of differential an integral calculus of functions of several real variables, applications in geometry, physics and engineering practice.

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:

http://euler.fd.cvut.cz/predmety/Calculus2/index.htm

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer 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	roomFL:114 Navrátil O. 09:45–11:15 ODD WEEK (parallel nr.131) Na Florenci 25 roomFL:008 Třasák T. 11:30–13:00 ODD WEEK (parallel nr.136) Na Florenci 25 roomFL:008 Třasák T. 13:15–14:45 ODD WEEK (parallel nr.197) Na Florenci 25 roomFL:008 Třasák T. 09:45–11:15 ODD WEEK (parallel nr.196) Na Florenci 25
Tue	roomFL:210 Hykšová M. 08:00–09:30 (lecture parallel1) Na Florenci 25 roomFL:112 Navrátil O. 13:15–14:45 (parallel nr.130) Na Florenci 25 roomFL:309 Vraštilová O. 08:00–09:30 (lecture parallel2) Na Florenci 25 roomFL:112 Navrátil O. 09:45–11:15 EVEN WEEK (parallel nr.130) Na Florenci 25 roomHO:B-404 Třasák T. 13:15–14:45 ODD WEEK (parallel nr.132) Horská 3 (nová budova) roomHO:B-404 Třasák T. 09:45–11:15 (parallel nr.132) Horská 3 (nová budova) roomFL:008 Navrátil O. 11:30–13:00 (parallel nr.133) Na Florenci 25 roomFL:008 Navrátil O. 09:45–11:15 ODD WEEK (parallel nr.134) Na Florenci 25 roomFL:118 Vraštilová O. 11:30–13:00 EVEN WEEK (parallel nr.137) Na Florenci 25 roomFL:118 Vraštilová O. 09:45–11:15 ODD WEEK (parallel nr.135) Na Florenci 25 roomHO:B-404 Třasák T. 11:30–13:00 (parallel nr.197) Horská 3 (nová budova) roomFL:118 Vraštilová O. 09:45–11:15 EVEN WEEK (parallel nr.138) Na Florenci 25
Wed	roomHO:B-301 Hykš O. 08:00–09:30 ODD WEEK (parallel nr.199) Horská 3 (nová budova) roomFL:112 Navrátil O. 11:30–13:00 (parallel nr.131) Na Florenci 25 roomFL:008 Navrátil O. 13:15–14:45 EVEN WEEK (parallel nr.133) Na Florenci 25 roomFL:008 Navrátil O. 09:45–11:15 (parallel nr.134) Na Florenci 25 roomHO:A-343 Třasák T. 13:15–14:45 (parallel nr.139) Horská 3 (stará budova) roomHO:A-324 Hykš O. 11:30–13:00 EVEN WEEK (parallel nr.198) Horská 3 (stará budova)
Thu	roomFL:008 Třasák T. 09:45–11:15 (parallel nr.136) Na Florenci 25 roomFL:118 Vraštilová O. 13:15–14:45 (parallel nr.135) Na Florenci 25 roomHO:B-301 Hykš O. 16:45–18:15 (parallel nr.198) Horská 3 (nová budova) roomFL:118 Vraštilová O. 09:45–11:15 (parallel nr.138) Na Florenci 25 roomFL:118 Vraštilová O. 11:30–13:00 (parallel nr.137) Na Florenci 25 roomFL:008 Třasák T. 13:15–14:45 EVEN WEEK (parallel nr.139) Na Florenci 25 roomHO:B-301 Hykš O. 15:00–16:30 (parallel nr.199) Horská 3 (nová budova) roomFL:008 Třasák T. 11:30–13:00 (parallel nr.196) Na Florenci 25
Fri	roomHO:A-343 Hykšová M. 11:30–13:00 (lecture parallel119) Horská 3 (stará budova) roomHO:A-343 Hykšová M. 15:00–16:30 (lecture parallel119) Horská 3 (stará budova) roomHO:A-343 Hykšová M. 13:15–14:45 (lecture parallel119) Horská 3 (stará budova)

The course is a part of the following study plans:

Bachelor PIL (CS) Full-Time from 2021/22 (compulsory course)
Bachelor TET-LOG Full-Time from 2022/23 (compulsory course)
Bachelor PIL (CS) Full-Time from 2022/23 (compulsory course)
Bachelor TUL Full-Time from 2022/23 (compulsory course in the program)
Bachelor TET-DOS Full-Time from 2022/23 (compulsory course)
Bachelor TET-ITS Full-Time from 2022/23 (compulsory course)
Bachelor TET-LED Full-Time from 2022/23 (compulsory course)
Bachelor TUL Full-Time from 2023/24 (compulsory course in the program)
Bachelor PIL (CS) Full-Time from 2023/24 (compulsory course)
Bachelor TET-DOS Full-Time from 2023/24 (compulsory course)
Bachelor TET-LOG Full-Time from 2023/24 (compulsory course)
Bachelor TET-ITS Full-Time from 2023/24 (compulsory course)
Bachelor TET-LED 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)
Bachelor TET-ITS Full-Time from 2024/25 (compulsory course)
Bachelor TET-LED Full-Time from 2024/25 (compulsory course)
Bachelor TET-LOG Full-Time from 2024/25 (compulsory course)
Bachelor TET-LOG Part-Time from 2024/25 (compulsory course)
Bachelor PIL (CS) Full-Time from 2024/25 (compulsory course)
Bachelor TUL Full-Time from 2024/25 (compulsory course in the program)
Bachelor TET Common Part of Study Full-Time from 2025/26 (compulsory course)
Bachelor TET-DOS Full-Time from 2025/26 (compulsory course)
Bachelor TET-LOG Full-Time from 2025/26 (compulsory course)
Bachelor TET-ITS Full-Time from 2025/26 (compulsory course)
Bachelor TET-LED Full-Time from 2025/26 (compulsory course)
Bachelor PIL (CS) Full-Time from 2024/25 (compulsory course)
Bachelor TUL Full-Time from 2024/25 (compulsory course in the program)
Bachelor TET-LED Part-Time from 2025/26 (compulsory course)
Bachelor TET-LOG Part-Time from 2024/25 (compulsory course)