Subjects

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Mathematics II - JEB006

Title:	Matematika II
Guaranteed by:	Institute of Economic Studies (23-IES)
Faculty:	Faculty of Social Sciences
Actual:	from 2008 to 2008
Semester:	summer
E-Credits:	5
Examination process:	summer s.:
Hours per week, examination:	summer s.:4/4, C+Ex [HT]
Capacity:	unknown / unknown (unknown)
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
Note:	course can be enrolled in outside the study plan enabled for web enrollment

Guarantor:	prof. RNDr. Ondřej Kalenda, Ph.D., DSc. prof. RNDr. Jiří Spurný, Ph.D., DSc.
Pre-requisite :	JEB005
Is pre-requisite for:	JEB028, JEB011

Examination dates Schedule Noticeboard

Annotation -

Students become familiar with mathematical analysis of functions of several variables, linear algebra, Riemann integral and primitive functions.
The presented methods are useful for solving problems in economics, mainly problems from microeconomics.

Last update: Vlasák Václav, RNDr., Ph.D. (21.11.2022)

Aim of the course -

Students became familiar with mathematical analysis of functions of several variables, linear algebra, Riemann integral and primitive functions. The presented methods are useful for solving problems in economics, mainly problems from microeconomics.

Last update: Vlasák Václav, RNDr., Ph.D. (21.11.2022)

Literature - Czech

Hájková V., Johanis M., John O., Kalenda O., Zelený M.: Matematika, Matfyzpress, Praha 2012

Kopáček J. a kol.: Příklady z matematiky nejen pro fyziky I., Matfyzpress, Praha 2005 (kapitoly 7, 9.4 a 9.5)

Kopáček J. a kol.: Příklady z matematiky nejen pro fyziky II., Matfyzpress, Praha 2006 (kapitoly 3 a 5)

Děmidovič B.P.: Sbírka úloh a cvičení z matematické analýzy, Fragment, Praha 2003 (nebo starší ruský originál)

Last update: Kot Pavel, Ing. (15.04.2021)

Teaching methods -

Lectures and exercises

Last update: KALENDA (03.09.2010)

Requirements to the exam -

Before passing the exam students should gain the credit. The exam has a written part and an oral part. Necessary condition to pass the oral part is a successful passing of the written part. If a student fails the exam, he or she should pass again whole exam (both written and oral part).

Since the course is taught in Czech, more detail description of the conditions is given in the Czech version.

Last update: Kot Pavel, Ing. (15.04.2021)

Syllabus -

(Functions of several variables: smooth functions, implicit function theorem, free and constrained extrema, quasiconcave fuctions.

Linear algebra: basic matrix operations, determinants, solution of systems of linear equations.

Primitive functions.

Basic properties of Riemann integral.)

Last update: Vlasák Václav, RNDr., Ph.D. (21.11.2022)