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Analysis of Course Schedule Generation Tool and Its Integration to University Automation System
(Faculty of Engineering and Natural Science, 2020) Zhuniskhanov M.
This research examines the university course schedule generation problem. It begins with the definition of the inconveniences of the old system. Then determine the importance of reducing the resource usage while integrating with the university automation system. This discussion integrates with an overview of the problem itself both from practical and academic perspectives. Then course schedule generation algorithms discussed with the ways of implementing it. This is followed by benchmark and resource usage comparison.
Variety of Bicommutative Algebras defined by identity
(Faculty of Engineering and Natural Science, 2022) Makhasheva A.
One of the important questions in modern algebra is to study algebras satisfying certain identities. There are two questions in the theory of polynomial identities. The first is to describe an algebra by a defined identity. The second is to describe identities in algebra. The study of identities will help us in the construction of basis of free algebra, in the study of the Hilbert sequence, the Specht problem and problems of the finite basis. In this work, we used two different research methods. First, the theory of representations of symmetric groups. Second, the theory of representations of linear groups. In this research paper, we have completely described the subvariety of variety of bicommutative algebras defined by the identity α[(ab)c+(ba)c+(ca)b]+β[a(bc)+a(cb)+b(ca)]=0.
Principal component analysis and it’s application to analysing factors affecting choice of university major
(Faculty of Engineering and Natural Science, 2020) Assanbayeva G.
The study is considered the identification of the main factors affecting the selection of study field.As an application, we develop a construct to measure factors that affect college students in their major selection.It is a multilingual building in three languages,namely,Kazakh,Russian,English.We conducted a survey of 27 Likert scale items in 3 languages,which is being conducted among 314 undergraduate students in Kazakhstan.The overall reliability of the test is calculated to be 0,856.The nine scales are the effect of Uniform National Testing, state grant affect, personal interest affect, skills affect, occupation salary affect, teacher affect, external affect, university cost affect, parent’s affect.The result of study can be used to help universities to improve their competences in attracting students.For these used PCA method and as a software used a Python programming language. Also,we investigate the main factors that influenced the Kazakhstani students most.We tested any differences in terms of gender when it comes to major selection factors.As most participants were among Suleyman Demirel University,we also wanted to see if there any differences between factors that influence Suleyman Demirel University students major selection to students of other local universities.The statistical data analysis show that students found themselves to be the most influential by 6 factors out of 9 ,namely,influence of state grant, influence of university cost, occupation salary impact, national test impact, influence of personal interest and influence of personal skills.Hypotheses testing are carried out using the T-test.Findings also suggested that, there is no difference between these 6 factors depending on gender.Also,no differences were found among university and factors.
Development of a mathematical model of the real estate provision system in Kazakhstan
(Faculty of Engineering and Natural Science, 2020) Bayadilova G.
This dissertation presents the results of the analysis of state housing programs for citizens of the Republic of Kazakhstan. The main parameters and requirements for making decisions on the housing issues were analyzed in the framework of compliance with the state requirements. As a result of the analysis, a table was developed that includes the main criteria and requirements for the state program, which serves to determine the number of steps and opportunities for obtaining housing in the Republic of Kazakhstan. These analysis results determine the requirements criteria for constructing a mathematical model and assessing the obtaining housing under the state program, depending on the time and steps for implementing the demand of state programs. The first chapter is Introduction chapter. Where we describe in detail, the current situation in the housing market and the main problems faced by those in need of housing. Chapter 2 is Preliminaries. Here we briefly described the problem that needs to be solved. In chapter 3, statistics on the provision of housing for citizens of the Republic of Kazakhstan were reviewed. The ratios between the number of new apartments commissioned and the newlyweds by the family are calculated. As well as the relationship between new apartments and demographic growth. The types of social security programs of other countries are considered. In chapter 4, we analyzed the main state housing programs in the Republic of Kazakhstan. All conditions of state and market mortgage lending programs are described. When studying the housing market of the republic, mortgage programs for the acquisition of housing and rental of housing were highlighted. In chapter 5, discussed the results of a study to build a mathematical model to calculate the effectiveness of government programs. The basic parameters of constructing a mathematical model of housing acquisition are described. A mathematical model for the acquisition of housing under existing programs in the Republic of Kazakhstan has been developed. Considered 8 ways to purchase housing. The mathematical model is developed separately for each program. And in chapter 6, we conclude our conclusion. Briefly outlined is the work on the synthesis of housing processes for the main steps. And also it is written about the work done on the analysis of convergence, the identity of processes and operations. The area of use of the mathematical model is described.
Nonlinear modeling of COVID-19 and the significance of testing: the case of Kazakhstan
(Faculty of Engineering and Natural Science, 2022) Kali A.
It has been more than two years since the world faced a global pandemic of COVID-19, which affected the global economy negatively and took many human lives. This paper considers the extended susceptible-exposed-infectious-recovered (SEIR) model and finds out whether it is effective for the government of Kazakhstan to conduct massive free PCR testing of the exposed population. To this end, we constructed a new mathematical model and the government cost function that incorporates the hospital cost for the COVID-19 treatment and the cost of PCR testing. To address the above-mentioned objectives, we constructed nonlinear differential equations for our epidemic model and numerically solved them. Furthermore, the government’s cost was modeled as a function that depends on the rate of PCR tests. The findings of the numerical analysis show that the government’s cost is minimized if the exposed individuals were tested for the disease as often as possible. Moreover, testing both susceptible and exposed individuals is not beneficial in terms of the economic cost.