This Bachelor Thesis is focused on the Fucik spectrum of two boundary value problems for second order differential equations. First, we solve boundary value problem with simple nonlocal condition that we approach to in our own way. This part of the spectrum is then estimated&#...

This bachelor thesis is focused on the study of linear and nonlinear oscillators and especially on the situation where the so-called resonance occurs. First, we analyze in detail the behavior of a linear oscillator. Then we focus on the solution of the Duffing equation using&#...

The goal of this thesis is to analyze relationships among difference equations and loan repayment. Specifically, we first consider the derivation of equations for loan repayment and the amortization plan. Next, we examine the dependencies on the various parameters and we extend loan...

This bachelor thesis analyses the investment in purchase of an apartment for rent. The main goal of this thesis is to assess the investment in terms of profitability, risk and other factors. The thesis also takes into account the development of parameters in the future. T...

This work formulates a multi-parametric boundary value problem with one parameter included in an equation and the other parameter in a boundary condition. The task is to examine the pairs of the parameter which the problem has a non-trivial solution for. A linear version of&#x...

This thesis focuses on line and surface integrals and their applications in the theory of electromagnetism. The main issue of this thesis is to describe the mathematical background of Maxwell's equations. After a short introduction to electromagnetism we continue with simple consideratio...

This thesis is focused on the study of a first order ordinary differential equation that cannot be solved analytically. First, we use the Taylor polynomial of the 1st and 3rd degree to approximate the right side of the equation. In both cases, we calculate and compare...

The aim of this work is to determine the success rate of technical analysis indicators at the time of declines in stock markets. The indicators examined in this work are MACD, RSI and Bollinger bands. Their results are compared with the simple strategy Buy and Hold. ...

This bachelor thesis is focused on measuring income inequalities. First we describe measures of income inequality: Gini index, Lorenz curve, pay gap and ANOVA. In the next section we process and analyse over 4 million data from the Czech Republic, Denmark, Finland, Germany, Norway,...

This bachelor thesis deals with Hamiltonian problems and their coloured variants. The thesis focuses on the conditions under which the graph is Hamiltonian. Both for non-oriented and oriented variants. The last chapter also mentions the structure of graphs without certain types of circles.

This thesis is devoted to studying of an eigenvalue problem of radially symmetric Laplace operator with a nonlocal (integral) boundary condition. In addition, we are interested in describing the so-called Fučík spectrum of the corresponding problem. First, we deal with our proble...

This thesis deals with didactic games in mathematics in the high school education. Through the research, we have found out the current state and possibilities of inclusion of didactic games in education. We have compiled an overview of internet and mobile applications designed to&#...

Integral transforms of the disturbing potential, that would eventually be derived from altimetry data are formulated, onto satellite-to-satellite (SST) tracking data are formulated investigated and applied in this paper. First, corresponding differential operators, that relate the disturbing potential diff...

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 master thesis focuses on implementation, optimization and evaluation of the self-made automatic trading system based on graphical methods and indicators of technical analysis on the predetermined asset. Basic principles and methods of technical analysis are described, as well as the int...

This master thesis deals with the geometric constructions using origami. Typical problems are demonstrated and discussed from the geometric and also algebraic point of view. We compare these constructions mainly with the Euclidean constructions and present advantages of the approach based on...

The thesis focuses on Two-sample Kolmogorov-Smirnov test. The main objective of the thesis is to find out how the rounding of the input data affects the results of the hypothesis of the same distribution. The first part of the thesis describes the results of the simulatio...

This document is focused on methods of numerical integration. The first part is theoretical, it describes the problems and methods of calculation based on Newton-Cotes and Gaussian quadrature formulas. In the next part there are described tested softwares, used methods and configuration ...

The goal of this thesis is to study evolution of cooperation in spatial games. Specifically, we describe the dynamics of the system in the dependence on the game-theoretical parameters. The thesis studies the evolution of population in time in the framework of (spatial) cooperative...

This bachelor thesis is focused on unconstrained optimization. The gradient methods and~the variable metric methods are described in the first part. In the second part we study the problems of non-linear least squares. Then we perform some numerical experiments, where we can compare...