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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. Poslední úprava: ZELENY (14.02.2012)
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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. Poslední úprava: Kot Pavel, Ing. (15.04.2021)
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During the semester, there will be several activities, which serve as a prerequisite to be admitted to the exam. Namely, there will be homeworks, two midterm tests, small tests, writing notes and final exam during the exam period. The final grade will be counted based on the final exam during the exam period. The prerequisite to be admitted to the final exam is to complete successfully homeworks, midterm test, small tests, attend regularly classes and write notes during lectures.
Grading: The total score is obtained as the sum of the points. The final grade depends on the total score as follows:
0-50 points … “F” (not passed) 51-60 points … “E” 61-70 points … “D” 71-80 points … “C” 81-90 points … “B” 91-100 points … “A”
Attendance: students must have more than 50% of attendance of practical sessions.
First midterm test consists of two questions. One question on partial derivatives, including computation of a partial derivative as a limit of partial derivatives (checking the condition of continuity). Second task will be on implicit functions. Second midterm test will include Lagrange multipliers and antiderivatives. Successful completion of the midterm tests means scoring more than 50% of the points for each test. Those who fail a midterm test will be given opportunity to do some other activity.
Controlling homeworks: during a break within superseminars, several students will be asked to show their homeworks to a teacher. If a student did not have homework, or was not present in the class, (s)he should bring the homework next time, without a separate reminder. During such a control, all the previous homeworks might also be checked. Small tests: they will be held either at the beginning or at the end of the superseminars, and will take from 5 to 15 minutes, depending on the task. They can cover the materials from the first semester, as well as the material from the current semester. They will be graded only as correct or incorrect, no intermediate grading will be given. If a student fails a small test, (s)he will be given opportunity to retake it.
Writing notes: it is assumed, that during lectures students write notes and after the classes they work through the content of the lectures.
Final exam takes part in the examination period at the end of the semester and consists of two parts. Written part (50 points): Students have 120 minutes to solve problems on extrema over sets, matrices, partial fractions and definite integrals. Only immediate writing utensils (pen, pencil, paper) are allowed. If a student scores more than 50% on the written part, (s)he is admitted to the oral part. Otherwise (s)he must retake it before taking the oral part.
The oral part (50 points): tests understanding of the definitions, theorems and their proofs and the ability to apply them. During the oral part immediate writing utensils are allowed (pen, pencil, paper). Each student should prepare answers within approximately 40 minutes. Then the student should present answers and should answer complementary questions.
Successful completion of the oral part means scoring more than 50% of the points. Otherwise student must retake both written and oral parts. The final score is made up of the sum of the grades for the written and oral parts of the exam. Poslední úprava: Minakov Oleksandr, Ph.D. (17.02.2025)
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See NMMA711. Poslední úprava: Kot Pavel, Ing. (15.04.2021)
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Lectures and seminars. Poslední úprava: ZELENY (14.02.2012)
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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. Poslední úprava: Kot Pavel, Ing. (15.04.2021)
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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. Poslední úprava: Kot Pavel, Ing. (15.04.2021)
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Mathematics on the high-school level as well as familiarity with the concepts presented in Mathematics 1 (NMMA711). Poslední úprava: Kot Pavel, Ing. (15.04.2021)
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