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Mathematical analysis II - NMUM102

Title:	Matematická analýza II
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2012 to 2012
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:2/2, 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:	prof. RNDr. Adolf Karger, DrSc. doc. RNDr. Miroslav Zelený, Ph.D. RNDr. Jakub Staněk, Ph.D.
Class:	M Bc. MZV M Bc. MZV > Povinné M Bc. MZV > 1. ročník
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility :	NUMP002
Interchangeability :	NUMP002
Is incompatible with:	NMUM803
Is interchangeable with:	NMUM803, NUMP002

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Annotation -

Last update: T_KDM (23.04.2012)

Basic course of mathematical analysis for prospective teachers.

Literature -

Last update: T_KDM (23.04.2012)

Veselý, J. Základy matematické analýzy I. Matfyzpress, Praha, 2004.

Veselý, J. Základy matematické analýzy II. Matfyzpress, Praha, 2009.

Kopáček, J. Matematická analýza nejen pro fyziky I. Matfyzpress, Praha, 2005.

Kopáček, J. Příklady z matematiky nejen pro fyziky I. Matfyzpress, Praha, 2004.

Černý, I. Úvod do inteligentního kalkulu. Academia, Praha, 2002.

Brabec, J. a kol. Matematická analýza I. SNTL/Alfa, Praha, 1985.

Jarník, V. Integrální počet I. Academia, Praha, 1974.

Trench, W. F. Introduction to Real Analysis. Available from http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF

Hairer, E., Wanner, G. Analysis by its History. Springer, 2008.

Syllabus -

Last update: T_KDM (23.04.2012)

Antiderivaties. Riemann integral and its applications, in particular: surface area of a plane region, length of a plane curve, volume and area of a surface of revolution. Parametric curves.