Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Calculus 2 - NMMA112

Title:	Kalkulus 2
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2016
Semester:	summer
E-Credits:	8
Hours per week, examination:	summer s.:4/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Pavel Pyrih, CSc.
Class:	M Bc. FM M Bc. FM > Povinné M Bc. FM > 1. ročník
Classification:	Mathematics > Real and Complex Analysis
Co-requisite :	NMMA111
Incompatibility :	NMAA072
Interchangeability :	NMAA072
Is interchangeable with:	NMAA072
In complex pre-requisite:	NMFM205, NMMA211, NMMA212, NMNM211, NMSA336

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: G_M (16.05.2012)

The second part of a four-semester course in calculus for bachelor's program Financial Mathematics.

Literature - Czech

Last update: G_M (27.04.2012)

V.Jarník: Integrální počet I

J.Milota: Matematická analýza I, II (skripta)

J.Kopáček: Matematika pro fyziky II (skripta)

J.Veselý: Matematická analýza pro učitele I,II (skripta)

Syllabus -

Last update: doc. RNDr. Pavel Pyrih, CSc. (24.02.2019)

1. Integral of real functions of one variable: indefinite integral (antiderivative), definite integrals (Riemann and Newton), calculation of integrals (by parts, substitution, integration of rational and similar functions), convergence of definite integrals.

2. Applications of integrals: integral criterion for convergence of series, area between curves, volumes of solids, length of plane curves, area of surfaces of revolution, moments and centers of mass.

3. Diferential equations: existence theorems, separation of variables, linear differential equations, systems of linear differential equations, applications of differential equations in geometry, physics and elsewhere, stability of solutions.

4. Functions of more variables: limits, continuity, partial derivatives, polar and spherical coordinates, theorems on continuous functions and implicit functions, maxima and minima, integrals, examples of partial differential equations.