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Meaning and calculation of the mathematical constant
Geršl, David ; Dobrovský, Ladislav (referee) ; Dosoudilová, Monika (advisor)
This bachelor thesis discusses the meaning and methods for calculating the mathematical constant . The theoretical part focuses on the history of the methods for calculating this constant, while the most important ones, such as calculating by integral calculus or power series, are derived in detail in separate chapters. The practical part deals with the computational complexity of individual formulas and their subsequent comparison.
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Elementary mathematics of imaging methods for radiology assistants
JELÍNKOVÁ, Barbora
The topic of the bachelor's thesis responded to the finding that there is currently no suitable educational text containing mathematical foundations for the education of radiological assistants and other related fields. The bachelor thesis contains selected areas of mathematics that are necessary to know to understand the physical foundations of imaging methods. The formulation of these areas is appropriate to the needs of future graduates of these fields of study. The goals of the bachelor thesis were the following: G1 Creation of an educational text and examples containing elementary mathematics that are essential to fully understand physical principles of imaging methods. G2 Compilation of a test that will be used to verify the knowledge of mathematics of radiological assistance field students and its graduates, followed by a statistical expression of knowledge level. Based on the goals, the following hypotheses were made: H1 By application of a curricular process a structure of elementary mathematics of imaging methods for radiological assistants can be described. H2a By comparing mathematical structures with components of a radiological assistant´s profile, individual structural levels of elementary mathematics for radiological assistants can be described. H2b According to needs and abilities of radiological assistants, examples of functions, differentiation, integration, and vectors can be chosen. H3 Knowledge of respondents in radiology mathematics will be distributed close to a normal distribution. With regard to the curricular process, a teaching text was compiled together with example illustrations. This step led to the fulfillment of goal G1. Then, a single-choice test of 20 questions was compiled to determine the level of mathematics knowledge across the field of radiological assistance. This step led to the achievement of goal G2. This test was subsequently extended using an online form among radiological assistants and students in this field. Given the above objectives, hypotheses H1, H2a and H2b could be confirmed. The test results were statistically expressed in the practical part of the bachelor thesis. It was confirmed that the empirical distribution of test responses is close to the normal distribution. Hypothesis H3 was also confirmed by this step. The benefits of the bachelor's thesis can be seen in the practical level (construction of an educational text verified by a test survey) and in the theoretical level (verification of the application of the theory of the curricular process).
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Integrals and differential equations in apllied problems - a digest of solved examples.
HOLUB, Miroslav
The main topic of the Thesis is the creation of a collection of selected solved interesting tasks intended for expanding the teaching of mathematics seminars at secondary schools, or as supplementary literature for students of various fields of university. The first part deals with the possibilities of applications of integral calculus in problems from common practice. Specific topics of some tasks can also be used in areas of professional circles. The second part of the Thesis focuses on mathematically solved problems, based on exceptional circumstances from everyday life. The goal of each example is to compile an ODE, determine the initial conditions, solve the equation and confront the task.
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Meaning and calculation of the mathematical constant
Geršl, David ; Dobrovský, Ladislav (referee) ; Dosoudilová, Monika (advisor)
This bachelor thesis discusses the meaning and methods for calculating the mathematical constant . The theoretical part focuses on the history of the methods for calculating this constant, while the most important ones, such as calculating by integral calculus or power series, are derived in detail in separate chapters. The practical part deals with the computational complexity of individual formulas and their subsequent comparison.
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Electronic Textbook in Introduction to Mathematical Methods of Physics
Kolář, Petr ; Žák, Vojtěch (advisor) ; Koupilová, Zdeňka (referee)
Title: Electronic Textbook in Introduction of Mathematical Methods of Physics Abstract: The objective of this work is to create a studing text not only for the first grade students of physics teaching at FMP CU but also for other students of phy- sical and technical domains at universities which should help them with an intro- duction into mathematic necessary in physics. The main matter of this work is based on preparations and texts of dr. A Hladík, prof. J. Podolský and dr. V. Žák for lectures and exercises of subject Introduction of Mathematical Methods of Physics. The author's experience is also reflected of course, especially his fresh experience with the age group for which is this text created. Equally, a small re- cherche of an existence and an availability of other sources pursuing given matters have been done. Some of these sources are recommended in this work. The cre- ated text should help readers with elementary matter of systems of coordinates, limits and derivations with a special consideration to their applications in physics. A contribution of this work for students is going to be a subject of other resear- ching. An extension of this text with other elementary parts of mathematical methods of physics is presumed too.
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Electronic Textbook in Mathematical Methods of Physics
Kolář, Petr ; Žák, Vojtěch (advisor) ; Snětinová, Marie (referee)
Title: Electronic Textbook in Mathematical Methods of Physics Author: Bc. Petr Kolář Department: Department of Physics Education FMP CU Supervisor: RNDr. Vojtěch Žák, Ph.D., Department of Physics Education FMP CU Abstract: The objective of this work is to continue in Electronic Textbook in Introduction of Mathematical Methods of Physics and to create an other studing text not only for the first grade students (future physics teachers) at FMP CU but also for other students of physical and technical domains at universities which should help them with an introduction into mathematic necessary in physics. The main matter of this work is based on preparations and texts of dr. A Hladík, prof. J. Podolský and dr. V. Žák for lectures and exercises of subject Introduction of Mathematical Methods of Physics and Mathematical Methods in Physics I. The author's experience are also reflected. Equally, a small recherche of an existence and an availability of other sources pursuing given matters has been done. Some of these sources are recommended in this work. The created text should help readers with elementary matter of antiderivatives and Riemann integrals, double and triple integrals and integrals of the first kind with a special consideration to their applications in physics. A contribution of this and previous work for...
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Electronic Textbook in Introduction to Mathematical Methods of Physics
Kolář, Petr ; Žák, Vojtěch (advisor) ; Koupilová, Zdeňka (referee)
Title: Electronic Textbook in Introduction of Mathematical Methods of Physics Abstract: The objective of this work is to create a studing text not only for the first grade students of physics teaching at FMP CU but also for other students of phy- sical and technical domains at universities which should help them with an intro- duction into mathematic necessary in physics. The main matter of this work is based on preparations and texts of dr. A Hladík, prof. J. Podolský and dr. V. Žák for lectures and exercises of subject Introduction of Mathematical Methods of Physics. The author's experience is also reflected of course, especially his fresh experience with the age group for which is this text created. Equally, a small re- cherche of an existence and an availability of other sources pursuing given matters have been done. Some of these sources are recommended in this work. The cre- ated text should help readers with elementary matter of systems of coordinates, limits and derivations with a special consideration to their applications in physics. A contribution of this work for students is going to be a subject of other resear- ching. An extension of this text with other elementary parts of mathematical methods of physics is presumed too.
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