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The subject of this diploma thesis is to search for the possibilities of using the Maple program for teaching financial mathematics. The basis is to create the maplet, which allows to users to fully benefit from the the strength of CAS (computer algebra system) created by the division Maplesoft of the company Waterloo Inc., through a simple graphical user interface. Maplets provide all the necessary tools for the calculations, they are very illustrative and help students to better understand certain problem. Detailed evolution of the maplets from its development through possibilities to its creation is also important part of this diploma thesis.

In this diploma thesis a general purpose application was developed in order to analyse economic data emitted by the Prague Stock Exchange. The application was written in the Maple programming language. The purpose of this application is to simulate possible future development of the securities. The main part of the application is a user-friendly graphical user interface.

In this diploma thesis I constructed generally usable program for processing economical data through mathematical methods of linear regression in Maple system. Program is used for trend dependency analysis of examined quantities. Via multi-stage algorithmization and implementation of information criterion I created interactive form with user-friendly interface with possibility of straight data import from office suite applications. Functionality of this program is verified on example with specific data collection.