1. Brief History

The history of department begins in 1934 due to opening Mining and smelting institute there was organized department of "High mathematics and theoretical mechanics".

The first head of department in 1934-1935 was V. I. Volovik. Then in 1935 it was Ermek Alimkhan - a graduate of the Tomsk Polytechnic Institute. In 1937-1941 and 1943-1952 the department was headed by docent N. S. Starkov. In 1941-1943 the department was managed by doctor of physics and mathematics sciences, professor N. I. Akhiyezer, in 1952-1962 by professor S. I. Gorshin, in 1962-1972 by docent O.M. Khaymuldin, in 1972-1979 by docent U.K. Kalizhanov, in 1979-2000 by professor E.M. Khairullin

In 1995 "Applied mathematics" department was opened and headed by doctor of physical and mathematical sciences, professor A. S. Sakabekov. In 1999 the department was taken the status of the releasing department and began preparation in the specialty: "Interdisciplinary applied mathematics". In July, 2000 "Applied mathematics" and «High mathematics» departments were integrated into "Mathematics" of Natural and humanitarian institute of al-Mashani. The first head of department became professor A. S. Sakabekov. In 2002-2004 the department was managed by doctor of physical and mathematical sciences, professor A. B. Tungatarov and in 2004-2016 by professor O.S. Satybaldiyev. At present, chair of the department of «Mathematics» is candidate of physical and mathematical sciences, docent, professor of KSAM Keltenova R.T.

Teachers of the department annually participate in the contest "The best teacher of the year" and win government grants of MES. The following teachers were winners: E. A. Kasymov in 2006, K. A. Haseinov in 2005 and 2006, E. Zh. Aidos in 2006, Zh. O. Otarbayev in 2006, O. S. Satybaldiyev in 2007, E. M. Khairullin in 2009.

"Mathematics" department was the leading organization for the defense of candidate and doctoral theses in the specialty: 01.01.02 - "Differential Equations and Mathematical Physics". It prepared bachelors in the specialty: 510230 - "Applied Mathematics and Computer Science" with the qualification "System Programmer, Mathematician-Engineer", an expert in mathematical modeling and forecasting.

In 2007 a new specialty 050705 "Mathematical and Computer Modeling" was opened at the department. Graduates receive an academic Bachelor’s degree in engineering and technology. In September 2008, the department opened the Master's program in the specialty: 5М070500 - "Mathematical and Computer Modeling". At the moment, 6 (six) undergraduates are studying for master's degree in this specialty.

Currently the department has 30 teachers, among them: professors – 3, candidates of sciences, docents – 14; Ph.D – 1; candidates of sciences, senior lecturers – 2; senior lecturers without scientific degree – 3; lecturers – 3; assistants – 4.


2. Purposes and tasks

The main objective of the department of "Mathematics", as well as the Institute of Basic Education, is the organization and implementation of the educational process, research activities and innovative works conforming to modern requirements for the training of highly qualified and competitive specialists.

The mission of the department of "Mathematics" is the implementation of the main task of the university - ensuring the preparation of a new competitive generation of technical specialists for the innovative economy of Kazakhstan.

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It is performed by:

- development of students through research and development of students' professional competence by using their own scientific results agreed with employers and university partners;

- participation in the development of educational programs and technologies, taking into account the priority areas of science and technology (new technologies of the hydrocarbon complex and petrochemistry, the development of the mining and geological and metallurgical industries, the construction industry and housing and utilities, innovative technologies of the energy complex, engineering, information and communication and space technologies);

- development of university-industry cooperation and partnerships with scientific organizations, schools, gymnasiums and colleges;

- continuous professional development of teachers and staff through the development of additional educational and training programs;

- ensuring the quality of educational services conforming to the modern requirements of consumers through the continuous implementation of modern innovative learning technologies;

- improving the educational and methodical activities of teaching staff of the department, the integration of education, science and production.

The aim of the department in the field of quality is the fulfillment of requirements in the quality management system regulated by the international standard ISO 9001: 2015 "Quality management systems".


3. Scientific areas and research (SRWS)

From 2015 to 2017 a research on the topic: "Development of a design methodology for high-tech schemes completion of horizontal and inclined wells" was carried out at the department of "Mathematics".

Direction: Rational using of natural resources, processing of raw materials and products. Grant MES of RK, the amount of funding was about 12 millions tenge. Scientific adviser is associate professor, candidate of physics and mathematics sciences B. Zh. Sagyndykov.

Since 2018 the department carries out research work on the topic "Unsteady nonlinear one-dimensional system of Boltzmann moment equations in an odd approximation under natural conditions of mirror and diffusion reflection of particles from the border", performed on the basis of contract No. 110 of 03.03.2018 with the State institution Committee of Science MES of RK. Direction: Rational using of natural resources, processing of raw materials and products. No. 2018 / АР05133634. From 2018 to 2020 the amount of grant funding are 30 millions tenge. Scientific adviser is professor, doctor of physics and mathematics sciences A. S. Sakabekov.

In the scientific laboratory "SIGMA Labs" workshops are regularly held with the participation of well-known scientists, teaching staff of the department, bachelors and undergraduates of various specialties of KazNRTU under the guidance of associate professor M.M. Sarsengeldin. At the workshops, students and undergraduates make reports on scientific articles from International journals, which are included in the database of Thomson Reuters.

On the basis of the department, the journal "International Journal of Advances in Applied Mathematics and Modeling" has been published since 2018. It is published in DE GRUYTER POLAND (Bogumiła Zuga 32A Str.01-811 Warsaw, Poland).

Since February 2019 there are three scientific seminars at the "Mathematics" department:

1. Geometrical seminar is held under the guidance of professor N. S. Dairbekov.

2. Analysis on stratified sets - under the guidance of professor O. M. Penkin.

3. Traffic Management - under the guidance of Professor N. S. Dairbekov.

In scientific work, the department maintains a close relationships with the al-Farabi Kazakh National University, Moscow State University named after M.V. Lomonosov, the Mathematical Institute named after V.A. Steklov, Computing Center of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk), Institute of Applied Mathematics named after M.V. Keldysh (Moscow), Institute of Problems of Mechanics of the Russian Academy of Sciences. Teachers of the department actively make presentations at International scientific conferences and symposia.

The department hosts annual student mathematics Olympiads, internet Olympiads and student scientific conferences.

Over the years, the teaching staff of the department and students of KazNRTU were the winners of International Olympiads. A. Kalesheva (4th year student, specialty 5В070800) is a winner of the national championship of the open international student internet Olympiad in Mathematics, took part in the super final of this Olympiad in Ariel (Israel), September 2016.

The KazNRTU team participated in the VIII –th International student Mathematics Olympiad in Yaroslavl (Russia). Zhakan Nurbolat (3-rd year student, IITT) and N. Baishuraev (2-nd year student, IITT) took the 7-th place in the team event. And in the category of Research Universities they took the honorable 4-th place. The Olympiad was held on October 3-6, 2016. The team leader was associated professor K.K. Almukhambetov.

At the department of "Mathematics" are held online competitions among bachelors who want to enroll in the master's program in the specialty: 6M070500 - "Mathematical and computer modeling."


4. Educational programs. Educational and methodical work

1. The department of "Mathematics" graduates in the specialty: 5В070500 and 5М070500 - "Mathematical and Computer Modeling" and oversees the educational program of this specialty.

2. In December 2018, for the undergraduate educational programs of KazNRTU specialties, a description of the cycle of mathematical disciplines was developed in accordance with the SES of Higher Education 2018 in three languages (Kazakh, Russian and English).

3. A new educational program has been developed for the 1, 1.5 and 2-year Master's program in the new specialty “Cybernetics and Artificial Intelligence” in two languages (Russian and Kazakh) and for the PhD doctoral program in this specialty.

4. To determine the level of mathematics of first-year students (IBE) diagnostic testing (over 2500 students were tested) was conducted in August 2018 and first-year students were on-line tested to determine the level of the learned discipline "Algebra and Beginning of Analysis".

5. Syllabuses and teaching materials for the mathematical disciplines of the department were updated and loaded on the KazNRTU portal.

6. Syllabuses and teaching materials for new special courses "Mathematical modeling in engineering problems. MatLab" are developed for master programs of all specialties of KazNRTU.

7. The department prepared and published textbooks and manuals in the Kazakh, Russian and English languages, authors such as Satybaldyev O.S., Bozhanov E.T., Khairullin E.M., Kasymov E.A., Aubakir S.B., Aidos E.Zh., Khaseinov K.A., Zhanbyrbaeva U.B., Sagyndykov B.Zh.

To improve the quality of teaching mathematics, teaching staff of the “Mathematics” department regularly attend training seminars on new educational innovative technologies.


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School of mathematics and cybernetics


рис Nurlan Dairbekov based school of mathematics and cybernetics in 15th March, 2019. Our school relates to the Institute of information and telecommunication technologies. At the same time the department of “Mathematics” was  included to the SMC. Also, we have «Sigma Lab» and «Cuda Lab» laboratories.

Nowadays 30 university teachers work in our center. Among them: d.p.-m.s. – 4, c.p.-m.s., assistant and associate professors – 16, PhD – 1, 4 MSc.

In this year the School of Mathematics and Cybernetics holds the seminars of the different areas:

1. Adaptive Traffic Signal Control - under the direction of Professor N.S. Dairbekov

2. Analysis on Stratified Manifolds - under the direction of Professor O.M. Penkin 

3. Logistic task - under the direction of Professor N.S. Dairbekov

4. Financial seminar - under the direction of Associate Professor R.T. Keltenova


In addition, we hold the joint workshops with the department of “Applied mechanics”.

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