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Elementary functions and domain
Vitásek, Tomáš ; Pilous, Derek (advisor) ; Jančařík, Antonín (referee)
The aim of my bachelor thesis is to show the teachers and the students of educational mathematics the relation between the elementary functions and their domains and the methods of creating problems focused on finding the domain. In the chapter called "Zobrazení", I try to define and explain the terminology closely connected to elementary functions and their doma- ins which I use in the following parts. Crucial chapters are "Definiční obory elementárních funkcí" and "Návrhy úloh". In the first of those two chapters I thoroughly explain the algorithm of solving problems focused on finding the domain of elementary functions and I discuss what the domains of various elementary functions are like. In the second of those two chapters, I suggest functions fitting a concrete domain. The aim is to suggest functions in a way that a student taking their maturita exam in mathematics at high school would be able to solve the problem of finding the domain. Keywords: elementary function, domain, function composition.
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Elementary functions and domain
Vitásek, Tomáš ; Pilous, Derek (advisor) ; Jančařík, Antonín (referee)
The aim of my bachelor thesis is to show the teachers and the students of educational mathematics the relation between the elementary functions and their domains and the methods of creating problems focused on finding the domain. In the chapter called "Zobrazení", I try to define and explain the terminology closely connected to elementary functions and their doma- ins which I use in the following parts. Crucial chapters are "Definiční obory elementárních funkcí" and "Návrhy úloh". In the first of those two chapters I thoroughly explain the algorithm of solving problems focused on finding the domain of elementary functions and I discuss what the domains of various elementary functions are like. In the second of those two chapters, I suggest functions fitting a concrete domain. The aim is to suggest functions in a way that a student taking their maturita exam in mathematics at high school would be able to solve the problem of finding the domain. Keywords: elementary function, domain, function composition.
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The differential calculus of functions of several variables
BEŇADIK, Vladislav
This thesis includes solving the basic examples of differential calculus (especially two and three variables). The work covers examples of the solutions of the domain, the first and second partial derivatives, determining the functions of local extremes (both explicitly and implicitly given) and find the equation of the tangent plane to a point in the graphs of functions. The examples are sorted by difficulty.
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