Calculus 2

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Applied Mathematics

Synopsis:

Indefinite integral, 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 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 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, 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:

• Prospectus-Bachelor (elective specialized course)