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Derivative in apllied problems - a digest of solved examples.
ZACHAROVÁ, Jana
The main goal of my diploma work on the topic "Derivative in apllied problems a digest of solved examples" is to create a set of solved exercises that somehow use calculus during solving. The collection contains 43 solved practical problems relating to calculus of one or two variables. This collection intends to serve as a training aid for students of middle or high schools. For a better overview individual tasks are sorted by appropriate fields of science (mathematical, biological, physical, economic).
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ASSET DIVIDING APPRASIAL MODEL (ADAM) - Hodnocení investic při přímém vkládání kapitálu do nemovitostí
Schäfer, Carsten ; Krabec, Tomáš (advisor) ; Hnilica, Jiří (referee) ; Starý, Oldřich (referee) ; Bernet, Jürg (referee)
The Asset Dividing Appraisal Model (ADAM) enables the appraisal of cash flows resulting from direct real estate investments. The model is an evaluation tool, which takes capital markets and the specific characteristics of real estate as an asset (heterogeneity, site-dependency, eternal land-yield, etc.) into consideration, while also considering different ownership approaches of real estate in the European Union. Thus, it contributes to the harmonization of capital markets and of direct real estate investment evaluation as intended by the "European Directive on Markets in Financial Instruments 2004/39/EC". ADAM is based on financial mathematical instruments and on the property valuation methods of different cultural areas. It combines continental European (Germ an Gross Rental-Method) and international (Discounted Cash Flow-Method) property valuation approaches. Although it is scientifically reasonable to take property valuation approaches into account, the aim of the model is not to valuate a property or to quantify an objective market value but to evaluate cash-flows resulting from direct real estate investments. A mathematical analysis based on empirical market data confirmed the validity of the methodology of the model. In the course of the analysis the major input variables that determine the results of the model and how the model reacts to marginal deviations of input data, were quantified. This was done using partial derivations and a simulation study. In Czech Republic a building isn't actually considered as a part of the underlying plot. Consequently, differing persons or institutions can be owner of the building, as of the appropriate plot. From 2014 on, a suitable reformation of the Czech Civil Code is supposed to cause a consolidation of real estate property. Czech law is going to be adjusted to German law, which considers plot and building as an economic entity. This consolidation of real estate could be an approach of the introduced model.
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Application tasks of differential calculus of two variables
ŠVEJDOVÁ, Veronika
The aim of this work is to form the collection of answered riders of differencial calculus function with two variables. The work includes examples of determination of local function and solving of two-variable collocations. Examples will be arranged according difficulty and completed by graphical representation.
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Extremes of two-variable functions --- a digest of solved examples
SEKAL, Tomáš
The topic of this bachelor work is to create a collection of exercises on the extremes of functions of two variables. It focuses mainly on local extremes. Exercises are ordered from easiest to more difficult. For each example there is solution procedure presented and illustrated with 3D graphs of functions, created using the mathematical program Maple. In the very beginning is provided "first aid" in the form of instructions for solving this kind of examples. At the end are included in "nontraditional" examples from mathematics and physics.
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Calculus of bivariant function
PTÁČNÍK, Jan
This thesis deals with the introduction of function of two variables and differential calculus of this function. This work should serve as a textbook for students of elementary school's teacher. Each chapter contains a summary of basic concepts and explanations of relationships, then solved model exercises of the topic and finally the exercises, which should solve the student himself. Thesis have transmit to students basic knowledges of differential calculus of functions of two variables, including practical knowledges.
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