РОССИЙСКО-АРМЯНСКИЙ УНИВЕРСИТЕТ

About chair

The Department of Mathematics and Mathematical Modeling was founded in 2002, its founder and first head was Doctor of Sciences in Physics and Mathematics. Doctor of Medicine, Professor Garnik Karapetyan. From the moment of its creation until May 2018, the department functioned under the leadership of Doctor of Sciences in Physics and Mathematics, Professor Garnik Karapetyan. Since May 2018 untill June 2023, the department was headed by Candidate of Sciences in Physics and Mathematics Arman Darbinyan. Since June 2023 untill now the department has been headed by Candidate of Sciences in Physics and Mathematics, Associate Professor Gayane Tonoyan.

Qualitative staff of the department:
The department consists of 26 employees, of which 9 are main and 17 are external part-timers.

Activities of the Department:
The main task of the department is to introduce educational activities in all disciplines of theoretical mathematics throughout the university, giving students the opportunity to develop thinking, gain fundamental knowledge in mathematics and use it to solve theoretical and practical problems related to various fields, such as: physics, astronomy, economics, robotics, artificial intelligence, etc.

Educational process of the department:
The department is part of the Institute of Mathematics and Informatics (IMI), and conducts a theoretical course in mathematics in almost all institutes of the university.
At IMI, the department conducts general courses:

Mathematical Analysis;
Complex Analysis;
Differential Equations;
Equations of Mathematical Physics;
Numerical Methods;
Financial Mathematics;
Optimization Methods.

In other institutes, the department conducts the following courses:

Mathematics;
Mathematical Method of Data Processing;
Economic and Mathematical Methods and Models;
Mathematical Analysis;
Differential equations;
Equations of Mathematical Physics.

The department conducts special courses in three areas: differential equations, numerical methods, mathematical modeling.
International educational relations, joint educational programs.
The Department of MMM maintains close ties with the Institute of Mathematics of the Russian Federation named after V.A. Steklov, Moscow State University, the Institute of Mathematics named after G. Ramzadze, the Institute of Mathematics named after S.L. Sobolev, the University of Cardiff (England), the University of Padua (Italy), the University of Sofia (Bulgaria), etc. The MMM Chair maintains close ties with various IT companies and not only in Armenia, and joint research work is also carried out.

Research activities of the department:
The department conducts scientific activities in three areas:
a) Differential Equations and Mathematical Physics
b) Optimization methods. Numerical Methods and Mathematical Modeling
в) Artificial Intelligence, Big Data and Robotics

Programs

The Department of MMM together with the Departments of SP and MC in the bachelor's degree are implementing a joint educational program in the direction of training "Applied Mathematics and Informatics".
The department has a master's degree in 2 specialties:
a) 061101007 – " Numerical Analysis and Mathematical Modeling"
b) 01.04.02 – " Artificial Intelligence and Machine Learning"
Postgraduate studies in the following specialties:
The department has postgraduate studies in 2 specialties:
Ա.01.02 - "Differential Equations, Mathematical Physics" of the Republic of Armenia;
05.13.18 - "Mathematical modeling and numerical methods and software complexes" of the Russian Federation.
Doctoral studies in the specialty:
The department has doctoral studies in the specialty Ա.01.02. - "Differential equations" of the RA.

Gayane Tonoyan

Head of the Department of Mathematics and Mathematical Modeling

(+374 12) 77-57-75 | 8130 I 326
[email protected]

Information

Education:

Yerevan State University / Faculty of Mathematics (1994-1999)
Yerevan State University / PhD in Mathematical Analysis (1999-2002)
Yerevan State University / Faculty of Law (2000-2004)

Experience:

2000-2001, Faculty of Mathematics, Yerevan State University
- Assistant
2001, Faculty of Applied Mathematics and Informatics, Yerevan State University
- Assistant
2019 - present, Faculty of Science and Engineering, AUA
- Lecturer
2002 - present, Department of Mathematics and Mathematical Modeling, Institute of Mathematics of RAU
- Associate Professor
2023 - 2024, Department of Mathematics and Mathematical Modeling, Institute of Mathematics of RAU
- Acting Head of the Department
2024 - present, Department of Mathematics and Mathematical Modeling, Institute of Mathematics of RAU
- Head of the Department

Awards:

Nominee "Who’s Who in the World" (2012)

Social activities:

2003 - 2010 - Assisted with the publication of journal “Integral” (Integral)
2003 - 2008 - Assisted with the publication of journal “Knowledge” (Gitelig)
2000 - 2002 - Member of Scientific Committee at the Faculty of Mathematics, Yerevan State University
2000 - 2002 - Head of the profkom at the Faculty of Mathematics, Yerevan State University
1999 - 2000 - Member of the profkom at the Faculty of Mathematics, Yerevan State University
1997 - 1999 - President of the Students Counsel, Faculty of Mathematics, Yerevan State University

Scientific interests

Calculus
Theory of Hypoelliptic and Almost Hypoelliptic Polynomials
Numerical Methods

List of publications

Тоноян Г. Г., Тоноян Г. А., Функциональные уравнения, 195 стр., 2009
Тоноян Г. Г., Тоноян Г. А., Диофантовы уравнения, 140 стр., 2008
Тоноян Г. Г., Тоноян Г. А., Республиканские математические олимпиады (2002-2004), 124 стр., 2004
Тоноян Г. Г., Тоноян Г. А., Аракелян Г. А., Республиканские математические олимпиады (1996-2001), 203 стр., 2001
Тоноян Г. Г., Тоноян Г. А., Заочные математические олимпиады (1965 - 1980), 134 стр., 1997
Тоноян Г. Г., О сравнении одного класса многочленов двух переменных, Вестник РАУ, Серия Физ. – мат. и естеств. науки, Ереван: Изд. - во РАУ, № 2, стр. 52 – 58 , 2017
Тоноян Г. Г., Число Зайденберга - Тарского для одного класса многочленов, Сборник научных статей, Одиннадцатая годичная научная конференция (5 декабря - 9 декабря 2016), Физико – математические и естественные науки, Ереван: Изд. - во РАУ, стр. 50 – 55, 2017
G.G. Tonoyan, V.N. Margaryan, Comparison with a Weight of Two-dimensional Polynomials, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), Vol. 51, N2, pp. 51-57, 2016
G.G. Tonoyan, V.N. Margaryan, On a Class of Almost Hypoelliptic Polynomials, Journal of Contemporary Mathematical Analysis ( Armenian Academy of Sciences), Vol. 46, N1, pp. 32-47, 2011
Тоноян Г. Г., О двумерных многочленах на бесконечности, Сборник научных статей, Пятая годичная научная конференция (6 декабря – 10 декабря 2010 г.), Физико – математические и естественные науки, Ереван: Изд. - во РАУ, стр. 120 – 129, 2011
Тоноян Г. Г., Поведение трехслойных многочленов двух переменных на бесконечности, Вестник РАУ, Серия Физ. – мат. и естеств. науки, Ереван: Изд. - во РАУ, № 2, стр. 42 – 66 , 2010
Тоноян Г. Г., Маргарян В. Н., О почти гипоэллиптических многочленах двух переменных, Третье Российско - Армянское Совещание по математической физике, комплексному анализу и смежным вопросам, Ереван, стр. 113 – 116, 2010
Тоноян Г. Г., Поведение на бесконечности одного класса многочленов, Сборник научных статей, Четвертая годичная научная конференция (30 ноября – 4 декабря 2009 г.), Физико – математические и естественные науки, Ереван: Изд. - во РАУ, стр. 23 – 29, 2010
Тоноян Г. Г., О поведении на бесконечности одного класса многочленов, Математика в высшей школе, том 5, № 2, стр. 25 – 36, 2009
Тоноян Г. Г., Функциональные уравнения, ”Интеграл”, том 11, выпуск 4, стр. 2-23, 2008
Тоноян Г.Г., Тоноян Г.А., Кеян Г.К., Роль скалярного произведения в современной математике ,”Интеграл”, том 2, выпуск 1, стр. 6-15, 1999
Тоноян Г. Г., Тоноян Г. А., Австрийские математические олимпиады, ”Интеграл”, том 2, выпуск 6, стр. 27-31, 1999