Mathematics I - JEB005
Title in English: Matematika I Institute of Economic Studies (23-IES) Faculty of Social Sciences from 2015 winter 7 7 winter s.: winter s.:4/4 C+Ex [hours/week] unknown / unknown (unknown) unlimited cancelled Czech full-time http://www.karlin.mff.cuni.cz/~barta/FSV/mat1.html priority enrollment if the course is part of the study plan
Guarantor: doc. RNDr. Tomáš Bárta, Ph.D. NMMA701 NMMA701
 Annotation - ---CzechEnglish
Last update: KALENDA (30.09.2008)
Students will become familiar namely with mathematical analysis of functions of one real variable. Taught methods are suitable for solving problems from economics.
 Aim of the course - ---CzechEnglish
Last update: KALENDA (30.09.2008)

Students will become familiar namely with mathematical analysis of functions of one real variable. Taught methods are suitable for solving problems from economics.

 Literature - Czech
Last update: doc. RNDr. Tomáš Bárta, Ph.D. (01.10.2012)

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

 Teaching methods - ---CzechEnglish
Last update: KALENDA (30.09.2008)

Lecture, exercises.

 Requirements to the exam - ---CzechEnglish
Last update: KALENDA (30.09.2008)

Exam has written and oral parts.

 Syllabus - ---CzechEnglish
Last update: doc. RNDr. Petr Holický, CSc. (06.09.2013)

Sets of numbers, supremum and infimum, minimum and maximum.

Limit of a sequence (finite, infinite), theorem on the limit of a monotone sequence.

Functions of oneé real variable: limit of a function, elementary functions and theire properties, derivative, properties of continuous functions, Langrange mean value theorem, extrema and their finding, convexity, examination and construction of graphs of functions.

Introduction to the theory of functions of several variables.