Calculus 2

Lecturer:

Magdalena Hykšová (guarantor), Ondřej Navrátil

Tutor:

Magdalena Hykšová (guarantor), Oldřich Hykš, Ondřej Navrátil, Tomáš Třasák, Olga Vraštilová

Supervisor:

Department of Applied Mathematics

Synopsis:

Antiderivative, Newtonian integral, Riemannian integral of the function of one variable, improper Riemannian integral, Riemannian integral in Rn. Parametric description of regular k-dimensional surfaces in Rn, Riemannian integral over regular surfaces. Line and surface integrals of the second type, Stokes theorems, ordinary differential equations of the first order, linear differential equations with constant coefficients and its systems.

Requirements:

differential calculus, linear algebra

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Basic methods of integration of functions of one real variable, use of integrals in geometry and physics, mathematical formulation of conservation laws, solution of simple differential equations and its systems.

Study materials:

Nagy J., Navrátil O.: Matematická analýza, Praha, skriptum FD ČVUT, 2010

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

Note:

Time-table for winter semester 2020/2021:

Time-table is not available yet

Time-table for summer semester 2020/2021:

Time-table is not available yet

The course is a part of the following study plans:

• Prospectus-Bachelor (elective specialized course)
• bak.prez.od 15/16 (compulsory course)
• PIL bak.prez.15/16 (compulsory course)
• TUL bak.prez.15/16 (compulsory course)
• bak.prez.od 16/17 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
• PIL bak.prez.16/17 (compulsory course)
• TUL bak.prez.16/17 (compulsory course)
• DOS bak.prez.16/17 (compulsory course)
• LOG bak.prez.16/17 (compulsory course)
• ITS bak.prez.16/17 (compulsory course)
• LED bak.prez.16/17 (compulsory course)
• BEZ bak.prez.16/17 (compulsory course)
• bak.prez.od 17/18 (compulsory course)
• bak.prez.od 16/17 - v 1.sem. si ZAPSALI 14DB (compulsory course)
• PIL bak.prez.17/18 (compulsory course)
• TUL bak.prez.17/18 (v 2017-18 si NEzapsali 11PEM) (compulsory course)
• DOS bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
• DOS bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
• LOG bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
• LOG bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
• ITS bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
• ITS bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
• LED bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
• LED bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
• BEZ bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
• BEZ bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
• LOG bak.prez.17/18 - včetně 11FYZ v 3.s. (compulsory course)
• LED bak.prez.17/18 - včetně 11FYZ v 3.s. (compulsory course)
• bak.prez.od 18/19 (compulsory course)
• PIL bak.prez.18/19 (compulsory course)
• TUL bak.prez.18/19 (compulsory course)
• DOS bak.prez.18/19 (compulsory course)
• LOG bak.prez.18/19 (compulsory course)
• ITS bak.prez.18/19 (compulsory course)
• LED bak.prez.18/19 (compulsory course)
• TUL bak.prez.17/18 (v 2017-18 si ZAPSALI 11PEM) (compulsory course)
• DOS bak.prez.18/19 (skok do 3.r.) (compulsory course)
• CŽV pro LED bak.prez. v 18/19 (compulsory course)
• LOG bak.prez.18/19 (skok do 3.r.) (compulsory course)
• ITS bak.prez.18/19 (skok do 3.r.) (compulsory course)
• LED bak.prez.18/19 - skok z 2.r.do 3.r. (compulsory course)
• PIL bak.prez.19/20 (compulsory course)
• bak.prez.od 19/20 (compulsory course)
• TUL bak.prez.19/20 (compulsory course)
• LED bak.prez.19/20 angličtina (compulsory course)
• TUL bak.prez.17/18 (v 2017-18 si NEzapsali 11PEM) - namísto něj 21ZYL1 (compulsory course)
• DOS bak.prez.19/20 (compulsory course)
• LOG bak.prez.19/20 (compulsory course)
• ITS bak.prez.19/20 (compulsory course)
• LED bak.prez.19/20 (compulsory course)
• ITS bak.prez.19/20 (skok do 3.r.) (compulsory course)
• DOS bak.prez.19/20 (skok do 3.r.) (compulsory course)
• LED bak.prez.19/20 (skok do 3.r.) (compulsory course)
• TUL bak.prez.19/20 (skok do 3.r.) (compulsory course)
• PIL bak.prez.20/21 (compulsory course)
• TUL bak.prez.20/21 (compulsory course)
• bak.prez.od 20/21 (pro B3710) (compulsory course)
• LED bak.prez.20/21 angličtina (compulsory course)
• DOS bak.prez.20/21 (compulsory course)
• LOG bak.prez.20/21 (compulsory course)
• LOG bak.prez.20/21 (skok do 3.r.) (compulsory course)
• ITS bak.prez.20/21 (compulsory course)
• ITS bak.prez.20/21 (skok do 3.r.) (compulsory course)
• LED bak.prez.20/21 (compulsory course)
• LED bak.prez.20/21 (skok do 3.r.) (compulsory course)
• PIL bak.prez.20/21 (skok do 3.r.) (compulsory course)