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Last update: ZELENY (14.02.2012)
will be presented. |
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Last update: Ing. Pavel Kot (15.04.2021)
A basic course of mathematics for students of FSV UK - the first semester. Students become familiar with mathematical analysis of functions of one variable. The presented methods are convenient for solving problems in economy. |
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Last update: RNDr. Kristýna Kuncová, Ph.D. (27.09.2023)
During the semester there will be homeworks (30 points), midterm (15 points) and final exam during the exam period (55 points). Grading: The total score is obtained as the sum of the points. The final The midterm exam consists of two limits of a sequence. The oral part tests understanding the definitions and theorems and selected proofs and the ability to apply |
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Last update: Ing. Pavel Kot (15.04.2021)
Hájkova, Johanis, John, Kalenda, Zelený: Mathematics
Further reading: A,. C. Chiang: Fundamental Methods of Mathematical Economics, McGraw-Hill Education V. A. Zorich: Mathematical analysis I, Springer, 2004 W. Rudin: Principles of mathematical analysis, McGraw-Hil, Inc., 1976 |
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Last update: ZELENY (14.02.2012)
Lectures and seminars. |
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Last update: ZELENY (14.02.2012)
Written and oral exam. |
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Last update: ZELENY (14.02.2012)
Real numbers, supremum and infimum, minimum and maximum. Limit of a sequence and its basic properties, arithmetics of limits, limit of a monotone sequence, Weierstrass theorem. Functions of one real variable: limit of a function, elementary functions and their properties, |
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Last update: Ing. Pavel Kot (15.04.2021)
1. Introduction: sets, logic, sets of numbers, supremum and infimum, minimum and maximum. 2. Sequences: limit of a sequence - finite and infinite, theorem on limit of a monotone sequence. 3. Functions of one variable: limit of function, elementary functions and their properties, derivative, properties of continuous functions, Langrange theorem, finding of extrema, convex and concave functions, investigation of function and construction of its graph. |