BUKHARA STATE UNIVERSITY
Department of Mathematical Analysis
The Department specializes in training highly qualified professionals in fundamental mathematics, functional analysis, operator theory, and mathematics education, while advancing scientific research and international academic cooperation.
History dating back to the 1960s
Research and Academic Seminars
International Research Cooperation
Bachelor's • Master's • Doctoral Studies
About the Department
The history of the Department of Mathematical Analysis is closely connected with the development of Bukhara State University and the former Bukhara State Pedagogical Institute. Although its name has changed over the years, the Department continues its traditions of mathematics education, scientific research, and the preparation of qualified mathematicians.
In the 1960s, it operated as the Department of Mathematics, headed by A. Yusupov. In later years, the Department underwent several reorganizations as the university's organizational structure evolved.
Today, the Department delivers bachelor's, master's, and basic doctoral education, conducts research in modern mathematical analysis, organizes regular academic seminars, and expands international cooperation.
History and Development
1960s — Department of MathematicsThe Department operated under the name Mathematics and was headed by A. Yusupov.
2010 — Merger of DepartmentsThe Departments of Differential Equations and Algebra and Analysis were merged into the Department of Mathematical Physics and Analysis, headed by G‘.I. Botirov, Candidate of Physical and Mathematical Sciences.
2014–2015 — Department LeadershipR.T. Muxitdinov, Candidate of Physical and Mathematical Sciences, served as Head of the Department.
2015–2018 — Department of MathematicsThe Department was renamed Mathematics in 2015. R.T. Muxitdinov headed it until July 2016, followed by I.M. Jo‘rayev, Candidate of Physical and Mathematical Sciences and Associate Professor, until January 2018.
2018–2019From April 2018 to June 2019, the Department was led by N.H. Mamatova, Candidate of Physical and Mathematical Sciences and Associate Professor.
2019–2020From June 2019 to May 2020, T.H. Rasulov, Candidate of Physical and Mathematical Sciences and Associate Professor, headed the Department.
September 2020 — ReorganizationThe Department of Mathematics was divided into the Department of Mathematical Analysis and the Department of Differential Equations. H.R. Rasulov, Candidate of Physical and Mathematical Sciences and Associate Professor, served as Acting Head of Mathematical Analysis.
Since July 2021 — A New StageThe responsibilities of Head of the Department were assigned to E.B. Dilmurodov, Doctor of Philosophy (PhD) in Physical and Mathematical Sciences and Associate Professor.
Academic and Research Capacity
11
Candidates of Sciences and PhDs
10
Basic Doctoral Researchers
The Department's qualified academic staff, experienced lecturers, doctoral researchers, and basic doctoral researchers contribute to education, scientific inquiry, and the training of emerging scholars.
Department Leadership
Head of the Department
Elyor Baxtiyorovich Dilmurodov
Doctor of Philosophy (PhD) in Physical and Mathematical Sciences, Associate Professor.
Degree Programs and Specializations
🎓
Bachelor's Degree
Program Code
60540100
Mathematics
📚
Master's Degree
Specialization Code
70540101
Mathematics
🔬
Basic Doctoral Studies
Specialization Code
01.01.01
Mathematical Analysis
Research Areas
The Department conducts research on contemporary problems in mathematical analysis, operator theory, stochastic processes, and mathematics education methodology.
📊
Spectral Analysis
Spectral analysis of linear operators, their mathematical properties, and methods of investigation.
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Stochastic Operators
Research on the theory of quadratic stochastic operators and its mathematical foundations.
📚
Mathematics Education
Theory and methodology of teaching and education, including scientific approaches to effective mathematics instruction.
RESEARCH ENVIRONMENT AND ACADEMIC DISCUSSION
Academic Seminars
The Department regularly organizes research seminars to foster scientific inquiry, discuss new mathematical results, and develop the research capabilities of young scholars.
RESEARCH SEMINAR
“Modern Analysis and Its Applications”
The seminar features presentations on current issues in mathematical analysis and discussions of Doctor of Sciences and Doctor of Philosophy (PhD) dissertations.
Seminar Leader: T.H. Rasulov, Candidate of Physical and Mathematical Sciences, Associate Professor
Day: Every Tuesday
Time: 14:30
Location: BSU Main Building, Room 417
RESEARCH AND EDUCATIONAL SEMINAR
“Nonstandard Problems in Analysis”
Designed for doctoral students, master's students, and undergraduates, this seminar explores nonstandard problems in mathematical analysis, solution techniques, and research approaches.
Seminar Leader: E.B. Dilmurodov, Doctor of Philosophy (PhD) in Physical and Mathematical Sciences
Day: Every Thursday
Time: 16:00
Location: BSU Main Building, Room 417
Weekly Seminar Schedule
| Seminar | Day | Time | Room |
|---|
| Modern Analysis and Its Applications | Tuesday | 14:30 | 417 |
| Nonstandard Problems in Analysis | Thursday | 16:00 | 417 |
Scientific Cooperation
The Department has established cooperation with international research centers and leading universities. These partnerships support the exchange of scientific expertise, academic collaboration, and joint research.
International Partners
- Baltic University (Sweden)
- Abdus Salam International Centre for Theoretical Physics (Italy)
- University of Bern (Switzerland)
- L.N. Gumilyov Eurasian National University (Kazakhstan)
- Kazan Federal University (Russia)
- Novosibirsk State University (Russia)
Partners in Uzbekistan
- V.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan
- National University of Uzbekistan
- Samarkand State University
- Urgench State University
- Karakalpak State University
- Karshi State University
Importance of Cooperation
The Department's academic partnerships strengthen fundamental mathematical research, promote knowledge exchange, and help young researchers become part of the international scientific community.
Courses Offered by the Department
The Department provides fundamental, general professional, and specialized courses at bachelor's and master's levels, developing students' mathematical reasoning, analytical thinking, research capabilities, and professional competencies.
BACHELOR'S
Undergraduate Courses
Mathematical Analysis and Theory
- Mathematical Analysis
- Functional Analysis
- Theory of Functions of a Complex Variable
- Selected Topics in Functional Analysis
- Selected Topics in Mathematical Analysis
Probability and Statistics
- Probability Theory and Mathematical Statistics
- Statistics
- Probability and Statistics
Applied and Pedagogical Subjects
- Discrete Mathematics and Mathematical Logic
- Methods of Teaching Mathematics
- Higher Mathematics
- Calculus
- Fundamentals of Logic
MASTER'S
Graduate Courses
Advanced Mathematical Analysis
- Measure and Integration Theory
- Operator Theory in Banach Spaces
- Theory of Self-Adjoint Operators
- Selected Topics in Analysis
Spectral Theory and Research
- Spectral Properties of Operator Matrices
- Spectral Properties of the Generalized Friedrichs Model
- Statistical Models in Educational Research
- Methods of Teaching Specialized Subjects
Contact Information
Address
11 M. Iqbol Street, Bukhara State University, Bukhara, Uzbekistan
Phone
+998 91 418-95-11
buxdu_rektor@buxdu.uz
(+998) 65 221-30-46
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