Mathematics I - JEB005
Title in English: Matematika I
Guaranteed by: Institute of Economic Studies (23-IES)
Faculty: Faculty of Social Sciences
Actual: from 2015
Semester: winter
Points: 7
E-Credits: 7
Examination process: winter s.:
Hours per week, examination: winter s.:4/4 C+Ex [hours/week]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Additional information: http://www.karlin.mff.cuni.cz/~barta/FSV/mat1.html
Note: priority enrollment if the course is part of the study plan
Guarantor: doc. RNDr. Tomáš Bárta, Ph.D.
Interchangeability : NMMA701
Is interchangeable with: NMMA701
Examination dates   Schedule   Noticeboard   
Annotation -
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 -
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 -
Last update: KALENDA (30.09.2008)

Lecture, exercises.

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

Exam has written and oral parts.

Syllabus -
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.