Mathematics II - JEB119

• Title: Mathematics II
• Guaranteed by: Institute of Economic Studies (23-IES)
• Faculty: Faculty of Social Sciences
• Actual: from 2023
• Semester: summer
• E-Credits: 7
• Examination process: summer s.:
• Hours per week, examination: summer s.:4/4, Ex [HT]
• Capacity: 59 / 59 (60)
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: no
• State of the course: taught
• Language: English
• Teaching methods: full-time
• Teaching methods: full-time
• Note: course can be enrolled in outside the study plan; enabled for web enrollment; priority enrollment if the course is part of the study plan
• Guarantor: RNDr. Kristýna Kuncová, Ph.D.
• Teacher(s): Anna Balci, Ph.D.; RNDr. Kristýna Kuncová, Ph.D.
• Class: Courses not for incoming students
• Incompatibility : NMMA712
• Pre-requisite : JEB118
• Interchangeability : NMMA712
• Is interchangeable with: NMMA712
• In complex pre-requisite: JEB105

Annotation

Last update: ZELENY (14.02.2012)

Students become 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.

Aim of the course

Last update: Ing. Pavel Kot (15.04.2021)

Základní přednáška z matematiky pro FSV UK - druhý semestr.

Studenti se seznámí s matematickou analýzou funkcí více proměnných, lineární algebrou, číselnými řadami a Riemannovým integrálem. Přednášené metody jsou vhodné pro řešení ekonomických úloh, zejména pak úloh z mikroekonomie.

Course completion requirements

Last update: RNDr. Kristýna Kuncová, Ph.D. (06.03.2022)

During the semester there will be homeworks (30 points), midterm (20 points) and final exam during the exam period.

Grading: The total score is obtained as the sum of the points. The final
grade depends on the total score as follows.

51-60 points ... "E"
61-70 points ... "D"
71-80 points ... "C"
81-90 points ... "B"
91-100 points ... "A"

The midterm exam consists of one question on implicit function and one on Lagrange multipliers.

Final Exam takes part in the examination period at the end of the semester
and consists of two parts.

Written part. Students have 120 minutes to solve problems on extrema over sets, matrices, partial fractions and definite integral.

The students may use any literature, but no electronic devices during the test.
 

The oral part tests understanding the definitions and theorems and selected proofs and the ability to apply
them. During the oral part only pencil and paper are allowed. Each student
should prepare answers within approximately 40 minutes. Then the student
should present answers and should answer complementary questions.

Literature

English

Last update: Ing. Pavel Kot (15.04.2021)

See NMMA711.

Teaching methods

Last update: ZELENY (14.02.2012)

Lectures and seminars.

Requirements to the exam

English

Last update: Ing. Pavel Kot (15.04.2021)

The exam will consist of the material according to the sylabus as covered during lectures and seminars. For details on grading and parts of the exam see Course completion requirements.

Czech

Last update: Ing. Pavel Kot (15.04.2021)

Funkce více proměnných: hladké funkce, implicitní funkce, volné a vázané extrémy, kvasikonkávní funkce.

Lineární algebra: základní operace s maticemi, determinanty, řešení lineárních soustav.

Primitivní funkce a Riemannův integrál: substituce, integrace per partes, Newton-Leibnizova formule, definice Riemannova integrálu.

Syllabus

Last update: Ing. Pavel Kot (15.04.2021)

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.

Entry requirements

Last update: Ing. Pavel Kot (15.04.2021)

Mathematics on the high-school level as well as familiarity with the concepts presented in Mathematics 1 (NMMA711).