This work deals with the teaching process of complex numbers and fractals in high schools. The complex numbers from a historical point of view were presented in the introduction. Subsequently, research was carried out on the teaching process of this subject at the level of...

Rough fractional stochastic volatility models are a progressive and promising field of research in derivative pricing. In the first part of this thesis, we give an introduction to option pricing and we outline the motivation that led to the development of the rough fractional ...

This thesis deals with L(p,q)-labellings of graphs and L(p,q,r)-labellings of graphs. By appropriate labellings we mean an assignment of non-negative integers to vertices of graph G according to the following rules: adjacent vertices are labelled by values differing by at least p, verti...

This thesis investigates heterogeneous versions of semi-discrete Nagumo equation with non-constant capacity. This system is assumed on discrete spatial structures - graph and infinite lattice. While there always exist non-trivial stationary solutions for homogeneous systems, heterogeneous systems may ...

This diploma thesis deals with conic section topic which takes an interesting part in math tuition as well as constructive geometry at secondary schools within the Czech Republic. This document contains a research of Framework Education Programme (curriculum), School Education Programme, sum...

This thesis is concerned with the study of the analytic theory of continued fractions and its application to general birth and death processes. The main aim of this work was to introduce the method of continued fractions to solve these processes. To better understand the ...

The thesis focuses on roofs from the point of view of descriptive geometry. In the first part, parts of the planes are used to roof the buildings. In the second part, other geometric surfaces are used. The thesis also presents ideas on how to make ...

This magister thesis is focused on analysis of stability of covariance matrix estimation. The estimate of covariance matrix is then used in the optimal portfolio model in the Markowitz sense. The greatest emphasis was put on it, how long to take the time series for the&#x...

In this thesis, the Binomial and Trinomial model for option pricing are compared using the real option contracts. The number of the steps is an important factor influencing the computational demand and the precision of the results. Therefore, the convergence criterium was defined f...

The diploma thesis is dedicated to basic tasks occurring in transport logistics.The first is the traveling salesman problem and its extension to the multiple traveling salesman problem. Further we deal in more detail with vehicle routing problem with capacities and bin packing problem,&...

The thesis is devoted to the qualitative analysis of a semilinear system of heat equations \begin{align} \begin{cases} \frac{\partial u_1}{\partial t} -\Delta u_1 = \lambda f_1(u_2) \tab &\text {v } \Omega_T,\\[7pt] \frac{\partial u...

This diploma thesis takes a view of planar and volumetric B-spline/NURBS parameterizations for isogeometric analysis. It contains a summary of basic definitions and attributes of B-Spline and NURBS objects. The main part of the text is description of searching the parameterization of&#x...

This diploma thesis concerns with modeling and estimating results of hockey matches and use of estimation for betting against bookmakers. The thesis describes models used for estimating winning of home team, a draw or away team win. The thesis deals about Dixon-Coles models arrange...

This thesis is devoted to statistical methods for comparing data from acoustic and dynamic measurements and simulations. Firstly, the modal analysis and statistical methods are introduced, then chosen comparative criteria generalized. In the case of two data sets comparison, we primarily foc...

This diploma thesis is focused on sensitivity analysis of shape parameters of runner blade of Kaplan turbine. The first part is theoretical, the sensitivity analysis and its possibilities of use are there described.The first part describes screening, local and global methods of sensitiv...

This diploma thesis focuses on estimating and modelling results of men's and women's singles in tennis. The models are based on the Elo rating system. After the introduction of selected models for estimating results of sports and tennis matches, the thesis continues with&#...

The thesis provides a comprehensive overview of the most famous mathematical inequalities and their application in the secondary education. The text includes an analysis of relevant curriculum documents, an overview of the most well-known types of inequalities with their proofs ...

We deal with dynamic systems in a discrete structure, which we model by undirected graphs. As a starting point, we present the conservation law, from which we deduce the diffusion equation on a given graph in detail. We analyze the model, which is operated by a linea...

This thesis deals with generalized symmetry of~geometric data. The existing method of~determining reflective symmetry using a~differentiable measure of~symmetry is used. The aim of this thesis is to set the parameters and weights of this method to generalize for diferent types of models,...

This bachelor thesis examines the influence of relative age effect among 11-year-old children doing their secondary school entrance exam. The data was tested on the results of mathematics and Czech language exams. The two sample Kolmogorov Smirnov test was used for testing.