Search

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).

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.

In the present work we deal with the problem of etremal value of time series, especially of maxima. We study times and values of maximum by an approach of point process and we model distribution of extremal values by statistical methods. We estimate parameters of distribution using different methods, namely graphical methods of data analysis and subsequently we test the estimated distribution by tests of goodness of fit. We study the stationary case and also the cases with a trend. In connection with distribution of excesess and exceedances over a threshold we deal with generalized Pareto distribution.

The aim of this work is to examine the idea of coincidence of opposites (coincidenta oppositorum) in the work of Nicholas of Cusa On Learned Ignorance (De docta ignorantia). We will try to show that this idea is constitutive for the whole of De docta ignorantia which is composed of three books and that upon this idea is based a certain way of doing philosophy which purpose is to be completed by faith. We will use the edition of the Heidelberg Academy: Nicolai de Cusa Opera omnia iussu et auctoritate Academiae Litterarum Heidelbergensis (Hamburg 1932 - 2004).