Department of mathematics

Educational work is based on the implementation of the Concept of education of the younger generation in the Republic of Kazakhstan, the plan of educational activities recommended by the Ministry of Education and Science of the Republic of Kazakhstan, the development plan of the S. Amanzholov EKU. Based on these documents, there is a plan of educational work of the department.

Students of the department take an active part in all activities of the university and Higher School. This is evidenced by certificates and letters of thanks. There are documents on educational work: a work plan for the implementation of a Comprehensive education program, diaries of curators, regulations on the adviser of the EKU at Sarsen Amanzholova and work plans, reports, minutes of curatorial hours. Academic calendars have been developed for each group of students.

Students of the Department of Mathematics take part and are winners in subject Olympiads and university, republican competitions of scientific research. For example, in 2021, Aset Almas, a student of the educational program 5B010900 – Mathematics, won the 1st place of the regional IT hackathon “Jastar Time” as part of the implementation of the state program “Digital Kazakhstan”.

Manuals and monographs published by teachers of the department in recent years:

1. М.Н.Мадияров, М.Т.Кенжебаева,  А.А.Мазбаева  «Эконометрика пән бойынша зертханалық практикум», Оқу-әдістемелік құрал, Өскемен: С.Аманжолов атындағы ШҚМУ баспасы, 2013
2. Тугылбаева Б.Г. «Линейные операторы», Методические указания, Усть-Каменогорск : издательство «Берел» ВКУ им. С.Аманжолова, 2015 г.
3. Малгаждаров Е.А., Мадияров М.Н., Аменова Ф.С. «Айырымдық схемалар теориясы», Оқу құралы, 2015
4. Аменова Ф.С., Алимбекова Н.Б., Жаксылыкова Ж.Р., «Математиканы оқыту әдістемесі», оқу құралы, 2016
5. Ергалиев Е.К. Учебно-методическое пособие «Введение в вычислительные методы линейной алгебры», Усть-Каменогорск: Издательство «Берель» ВКГУ имени С.Аманжолова, 2016 г.
6. Апышев О.Д., Мадияров М.Н., Ергалиев Е.К. Стандарты емес теңдеулерді шешу әдісі, Әдістемелік кұрал, 2017 г.
7. Смолина Г.С., Филатова О.Н., Кузнецова А.Ю., Кривошеина Н.В., Ергалиев Е.К. «Методика преподавания математики в основной школе», учебное пособие, Усть-Каменогорск, изд-во ВКГУ им. С.Аманжолова, 2018.
8. Темирбеков Н. М., Байгереев Д. Р., Темирбеков А. Н., Жолшиева К. А. Интегрированная распределенная информационная система Академгородка города Алматы. Учебное пособие, Алматы: КазИТУ, 2019.
9. Апышев О.Д., Бакишев А.К., Сатпаева З.З., Нурканова Р.О.
10. Байгереев Д. Р., Алимбекова Н. Б. Фильтрация есептерін шешудің ақырлы элементті әдістері. – Берел, 2022.
11. Байгереев Д. Р. Көп фазалы сызықты емес фильтрация есептерін шешудің сандық әдістері (монография). – Берел, 2022.
12. Тригонометриялық ауыстырмалардың кейбір қолданулары (Оқу-әдістемелік кұралы), Өскемен қ. С.Аманжолов атындағы ШҚУ, «Берел» баспасы 2022 ж.

Teachers of the department annually hold round tables with teachers of schools of the city and the region on the problems of teaching mathematics, participate in methodological seminars on teaching modern educational technologies, conduct master classes after training at advanced training courses of the republican and intra-university level, constantly improve their professional level in methodological work, which is confirmed by certificates. Open classes are held.

The department works in the following scientific areas:

1) Parallel finite element methods for solving computational fluid dynamics problems.

The main attention is focused on the development and theoretical study of finite element methods for solving initial boundary value problems for multiphase filtration equations, Navier-Stokes equations, Stokes-Darcy equations. The relevance of this scientific direction is due to its important economic and applied significance in forecasting various processes in the oil industry, hydrology, meteorology, biomedicine, carbon sequestration, and nuclear waste management. Within the framework of this direction, the teaching staff of the department offers effective finite element methods for solving these problems, conducts a theoretical analysis of the stability and convergence of methods, develops parallel algorithms for their implementation.

2) Numerical solution of differential equations with fractional derivatives.

Within the framework of this direction, the teaching staff of the department studies numerical methods for implementing fractional differential generalizations of classical models of computational fluid dynamics. These problems belong to the class of non-classical problems of mathematical physics, and are of great applied importance in modeling physical processes in highly porous fractured and other heterogeneous media. The main attention is focused on obtaining high-order computational schemes, their theoretical research and the development of parallel algorithms for their implementation.

3) Mathematical modeling in ecology and creation of new information systems.

Safe management of natural processes, especially taking into account technogenic factors, is impossible without predicting situations, which makes it necessary to use mathematical methods and models. The advantages of mathematical models are that they allow you to make predictions that can be compared with real data by setting up an experiment or making the necessary observations. However, it must be remembered that any mathematical model takes into account only some aspects of reality, but not all. Therefore, an important step in the construction of the model is to check its adequacy, comparing the simulation results with empirical data.

4) Quality issues of training competitive specialists.

A modern specialist is required to have professional competence and the ability to make decisions in non-standard situations, the ability to work in a team, independently extract, analyze and effectively use information, work rationally in a rapidly changing world. These qualities are acquired by students studying under the conditions of using active forms, working in pairs, groups, solving specific life situations. At the same time, great priority is given to independent work.