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Electronic Study Text on Mathematical Methods Used in Physics
Gregor, Pavel ; Snětinová, Marie (advisor) ; Ryston, Matěj (referee)
The main intention of this diploma thesis is to supplement existing study texts for the subjects Introduction to Mathematical Methods of Physics and Mathematical Methods in Physics with the missing parts. The diploma thesis deals with the partial derivative, the improper integral, the coordinate form of the curl operator, the formalism using the Kronecker and Levi-Civit symbol, and tensors. The work also includes a search for sources on the topic of textbook evaluation. Based on it, a questionnaire survey was conducted among students of physics teaching. The description of the preparation of this survey and its evaluation is also part of the thesis. 1
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Teorie relativity - jak na středoškolské úrovni rozvíjet její pochopení
Ryston, Matěj ; Dvořák, Leoš (advisor) ; Novotný, Jan (referee) ; Šlégr, Jiří (referee)
The goal of this doctoral thesis is to find and implement possible ways to facilitate secondary school students' understanding of relativity. The thesis starts with an overview of existing literature as well as ongoingstudies concerned with teachingrelativityto secondarystudents, especially in connection with possible misconceptions and other learning difficulties. Furthermore, it maps available book and internet sources on relativity in both Czech and English that students might use outside of school. A research of Czech curricular documents for upper secondaryeducationandan online surveyamonggymnasium physics teachers were used to assess the current situation of teaching relativity in these schools. Based on the mentioned research, it was decided to develop learning resources focused on General Relativity. Following an analysis of a selection of relativity textbooks on this topic, a study website for interested students as well as a teaching-learningsequence for teachers to adapt in their own teaching were developed. The development and assessment of these materials are described in detail.
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Solving test-particle equations of motion near a black hole
Ryston, Matěj ; Ledvinka, Tomáš (advisor) ; Suková, Petra (referee)
Bachelor thesis Matěj Ryston 2011/2012 Abstract in English This work aims to give a well-arranged summary of the description and solving the equations of motion of particles outside a black hole (a star) with emphasis on numerical solutions. For that purpose a summary of numerical methods for solving ordinary differential equations, together with a review and comparison of chosen methods, is given. In the second chapter follows a brief recall of the foundations of General Relativity as well as the description of the geometry of Schwarzschild solution of the Einstein equations. After that equations of motion are formulated. In conclusion, selected numerical methods are used on solving said equations of motion of a test particle or those describing bending of light rays in closeness to a black hole.
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Possibilities of teaching/learning general relativity at elementary level
Ryston, Matěj ; Dvořák, Leoš (advisor) ; Žák, Vojtěch (referee)
This thesis deals with an elementary introduction to general relativity on a level understandable by secondary school students and graduates. It contains a review of available literature including its approach to the introductory level of relativity, a study text covering the necessary parts of classical mechanics, special relativity and subsequently basic ideas and conclusions of general relativity. A didactical analysis of the study text is also part of the thesis. The text presumes only basic knowledge of secondary school physics (mostly mechanics), therefore it is suitable for a wide range of readers amongst secondary school students and graduates. It can also be useful as a study material for secondary school teachers, who wish to enrich their teaching with more modern chapters of physics.
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Solving test-particle equations of motion near a black hole
Ryston, Matěj ; Ledvinka, Tomáš (advisor) ; Suková, Petra (referee)
Bachelor thesis Matěj Ryston 2011/2012 Abstract in English This work aims to give a well-arranged summary of the description and solving the equations of motion of particles outside a black hole (a star) with emphasis on numerical solutions. For that purpose a summary of numerical methods for solving ordinary differential equations, together with a review and comparison of chosen methods, is given. In the second chapter follows a brief recall of the foundations of General Relativity as well as the description of the geometry of Schwarzschild solution of the Einstein equations. After that equations of motion are formulated. In conclusion, selected numerical methods are used on solving said equations of motion of a test particle or those describing bending of light rays in closeness to a black hole.
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