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Adriana Zeleňáková - Zuzana Ješková - Adela Kravčáková et al. (eds.)
The proceedings contain abstracts of contributions from participants of the 10th Czech-Slovak Student Scientific Conference in Physics, which took place on May 2–3, 2019, at the Faculty of Science, Pavol Jozef Šafárik University in Košice.
E-book
Katarína Cechlárová (ed.)
This year, the Student Scientific Conference was held on April 24, 2019, across 17 sections in disciplines such as biology and ecology, chemistry, physics, geography, mathematics, informatics, and their didactics. Bachelor’s and master’s students presented a total of 124 contributions. The most successful participants advanced to national or traditional Czech-Slovak student scientific showcases in fields like physics, chemistry, mathematics, informatics, and mathematics didactics.
In addition to faculty students, 10 high school students participated outside the competition. They were invited based on their achievements in subject-specific Olympiads or because they were already engaged with the faculty under the guidance of dedicated teachers in laboratory work as part of their preparation for future studies. The day also featured a programming competition with 23 participants, an IHRA contest involving 16 teams of high school students and 15 teams from elementary schools, and a new Puzzle section where 72 high school students from the region competed.
The abstracts from the Student Scientific Conference demonstrate that our faculty's students not only absorb theoretical knowledge delivered in lectures but also actively engage in solving partial scientific problems that align with research objectives at the institutes of PF UPJŠ. This collection serves as both a record of scientific activity at the faculty and a dignified presentation for the broader public.
Prof. RNDr. Katarína Cechlárová, DrSc.
Vice-Dean for Education
Doc. RNDr. Gabriel Semanišin, PhD.
Dean of the Faculty
E-book
The concept of the integral is one of the most significant concepts in mathematics as a whole. In its most primitive form, it was already used by the ancient Greeks in the creation of Euclidean geometry. However, it was only after Descartes' work on analytical geometry in 1637 that mathematicians could begin to consider the integral as a subject of analysis. Descartes' work laid the groundwork for the discovery of infinitesimal calculus by Leibniz and Newton around 1665. At that time, a great dispute arose over the priority of this discovery, dividing scholars of Germany and England into two opposing camps, each favoring their own champion. Today, we know that Newton's work on fluxions and fluents was somewhat earlier, but Leibniz's notation and approach have gained more acceptance in the mathematical world, and the symbols ∫ ∫ and d d are still used today. A brief overview of the history of the integral will be presented in Chapter 1.
Today, there is a plethora of scripts, textbooks, and books dedicated to explaining the concept of the integral. Therefore, every potential author faces the initial question of whether to write another text on this topic. Our affirmative answer to this question was driven by the students' request to find the subject matter of a part of the winter semester of the second year presented in a coherent form. The second motivation is a slightly different approach to the topic. If we consider the methods typically used in solving problems and gaining routine with a certain integral, it mainly involves the Newton-Leibniz formula, and often there is little time left to compute the definite (Riemann) integral using its definition. Therefore, we included a discussion of the Newton integral in Chapter 2, which reflects this fact and is directly related to the indefinite integral, whose various calculation methods receive relatively much attention in the previous semester. Only after that, in Chapter 3, do we build the theory of the Riemann integral, present criteria for its existence, classes of integrable functions, basic properties, and finally its relationship with the Newton integral. Questions primarily concerning geometric applications are addressed in Chapter 4, and in the final chapter, we focus on extending the Riemann integral to unbounded functions and unbounded intervals.
E-book
Vladimír Zeleňák (ed.)
The publication contains abstracts of contributions presented at the Student Scientific Conference of the Faculty of Natural Sciences at UPJŠ in Košice, held on April 25, 2013. The event was marked by the celebration of the 50th anniversary of the Faculty of Natural Sciences at UPJŠ and was part of a series of events called ScienceFest.
E-book
Vladimír Zeleňák (ed.)
The proceedings contain contributions from participants of the Student Scientific Conference of the Faculty of Science at UPJŠ in Košice, which took place on April 24, 2014.
E-book
The publication lists interim results of qualitative educational research focused on the development and evaluation of programming tasks being carried out by authors since 2005 in the frame of programming competition PALMA junior.
The publication consists of three chapters: Computer science competitions in Slovakia, Tasks in computer science education, Selected problems of PALMA junior competition. The first chapter provides an overview of computer science competitions for a primary and secondary schools in Slovakia. The second chapter described the issue of learning tasks - their components, focus, formulation types, and development system of tasks. The third chapter contains the assignments and commented author solutions of selected problems represented focus of PALMA junior competition – programming, algorithms and mathematics.
For each problem is mentioned analysis of pupils’ solutions aimed to ways of thinking, typical misconceptions, sets of preparatory and extended problems. The publication is addressed to computer science teacher trainers, authors of programming competitions problems, and computer science teachers.
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