Результати пошуку

Зараз показуємо 1 - 6 з 6

Latex system in distance learning of the probability theory
(2023-11-20) Hubal, Halyna
Article discusses the main issues for writing interactive mathematical tests in the LaTeX system. The LaTeX system is convenient to use for writing interactive mathematical tests in distance learning. We use the eqExam package, the AcroTeX eDucation Bundle package, the turnthepage package in order to write interactive mathematical tests, for example tests on the probability theory. For this, we create (tasks) of the “True/False” type, the “Short Answer” type, the “Essay” type (“Specifying a Definition”, “Justification of a Theoretical Hypothesis”) and the “Multiple Choice” type.
Methods of functional analysis for the discrete velocity model of the BBGKY hierarchy of equations of symmetric systems of particles interacting as hard spheres
(Singapore, Republic of Singapore: International Center of Scientific Research, 2025) Hubal, Halyna
A dynamic symmetric system of particles interacting as hard spheres was considered in the article. Such systems are used in a number of scientific areas such as mathematical physics, theoretical physics, mathematical biology, mathematical economics, chemistry, and modern nanotechnology. It was proved that the functional series of the cumulant representation of the solution of the discrete velocity model of the Cauchy problem for the BBGKY hierarchy of equations with initial data having the chaos property converge in the norm of the space of sequences of summable functions. Under the condition of low densities, it was proved the existence and uniqueness of the solution of a closed evolution equation obtained from the solution of the Cauchy problem for the BBGKY hierarchy of equations, which is important for deriving the generalized kinetic equation.
Analysis of approaches to the study of limits of sequences and functions and the use of information technologies
(2024-01-25) Hubal, Halyna
Article analyzes approaches to the study of limits of sequences and functions and the use of information technologies. The theorem on the limit of an intermediate sequence is of great importance when investigating the convergence of sequences and when calculating the limits of sequences. It is developed an algorithm for applying this theorem that is illustrated with examples. An example of calculating the limit of a function with a geometric interpretation of the obtained result is considered. The possibility of completing the calculation of limits at infinity, using the program code written by the author in the LaTeX programming language, is considered.
Digital technologies as a powerful toolkit for improving the quality of students' mathematical training
(Kraków, 2025) Hubal, Halyna
The article considers the application and impact of digital technologies on improving the quality of students’ mathematical training. It is shown the advantages of using digital technologies. It is described the features of deepening students’ knowledge through digital technologies.
Information technologies in teaching probability theory to foreign students in English in higher education institutions
(Oxford, 2025) Hubal, Halyna
The article presents some features of teaching probability theory to foreign students in English in higher education institutions in Ukraine. The article emphasizes the importance of using information technologies both for teaching probability theory and for understanding this discipline by foreign students. Examples of using the LaTeX system in creating educational materials and test tasks are given.
Optimization of the use of some modules in the moodle system
(2024-04-29) Hubal, Halyna
The article considers the modular object-oriented dynamic learning environment Moodle which provides a full-fledged and modern study of disciplines, including mathematical ones, satisfying the various needs of teachers and students in the interactivity and effectiveness of learning technologies, developing the ability to work with a large amount of information. The task of creating assignments with variants, which the teacher must grade manually, is implemented. Flexible settings of creating and visibility of assignment variants for students are presented.

Наукові статті

Переглянути

Фільтри

Налаштування

Сортувати за

Результатів на сторінку

Результати пошуку