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Course, academic year 2024/2025
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Mathematics 2 - NMMA702
Title: Matematika 2
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: summer
E-Credits: 7
Hours per week, examination: summer s.:4/4, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Classification: Mathematics > Real and Complex Analysis
Pre-requisite : NMMA701
Interchangeability : JEB006
Is incompatible with: JEB006
Is pre-requisite for: NMMA703
Is interchangeable with: JEB006
Annotation -
A copy of JEB006. Students became familiar with mathematical analysis of functions of several variables, linear algebra, series and Riemann integral. The presented methods are useful for solving problems in economics, mainly problems from microeconomics.
Last update: G_M (07.05.2014)
Course completion requirements -

The course is finished by a credit and an exam. The credit should be obtained before passing the exam.

The credit is awarded for attendance and tests. The exact conditions are described in the Czech version as the course is taught in Czech.

Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (17.02.2020)
Literature -

The course is taught in Czech, therefore the relevant literature is also in 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 (chapters 7, 9.4 a 9.5)

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

Děmidovič B.P.: Sbírka úloh a cvičení z matematické analýzy, Fragment, Praha 2003.

Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (17.02.2020)
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: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (17.02.2020)
Syllabus -

This course is just a copy of JEB006.

(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.

Series: convergence and divergence, criteria of convergence, absolute convergence.

Basic properties of Riemann integral.)

Last update: G_M (07.05.2014)
Entry requirements -

Be familiar with the notions of mathematics 1 NMMA701.

Last update: Vlasák Václav, RNDr., Ph.D. (10.05.2018)
 
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