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The discovery of radioactivity at the turn of the 19th and 20th centuries stimulated the rapid development of nuclear sciences. At the interface between nuclear physics and chemistry, disciplines such as radiochemistry, radiation chemistry and nuclear chemistry were formed.
The aim of the Nuclear Chemistry course which is taught at the PF UPJŠ is to provide basic knowledge, with an emphasis on the general value of the subject. It is important to make available the basics of various methods, techniques and their specifics in the application of nuclear phenomena in chemistry and related fields. Emphasis is also placed on the use of correct terminology, knowledge of the context of relationships and basic principles, supplemented by illustrative concrete cases.
The choice of material is rather difficult, but we count on additional monographs and textbooks to fill in the gaps of these teaching texts.
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Jozef Strečka- Katarína Karl’ová (eds.)
Zborník obsahuje program a abstrakty workshopu s názvom: 1st Workshop on Perspective Electron Spin Systems for Future Quantum Technologies, ktorý sa bude konať 28.-29. júna 2022 v Košiciach. Workshop je organizovaný Prírodovedeckou fakultou Pavla Jozefa Šafárika v Košiciach a Ústavom experimentálnej fyziky Slovenskej akadémie vied v Košiciach s finančnou podporou Agentúry na podporu výskumu a vývoja. Ústrednými témami konferencie budú súčasné problémy kvantovej fyziky - kvantovej teórie magnetizmu spinových a elektrónových štruktúr, exotických kvantových spinových stavov, kvantového previazania, kvantových fázových prechodov, topologického kvantového počítania a kvantového spracovania informácie. Účastníci workshopu budú prezentovať originálne pôvodné výsledky svojho výskumu, ktoré môžu zásadným spôsobom ovplyvniť vývoj budúcich kvantových technológií.
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Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples and formulate arguments to explain the studied phenomena.
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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.
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