According to the structural changes in the 2024-2025 academic year, the departments of Mathematical Analysis and Theory of Functions and Differential Equations and Optimization of Sumgait State University were canceled and the Department of Mathematical Analysis and Differential Equations was established on their basis. Currently, the department implements educational programs based on modern technologies, along with the application of modern methodical approaches to the teaching of mathematics majors.
This department also functions as an advanced teaching and research center that provides students with pedagogical and technological specialization. The purpose of the department is to provide students with professional knowledge and skills in the field of mathematics and its application in accordance with the requirements of the modern era.
The head of the department is Seyfullayeva Khayala Idris gizi, PhD in mathematics, associate professor.
2 professors, 9 associate professors, 7 senior teachers and 8 assistants work in the department of mathematical analysis and differential equations. 3 doctoral students and 27 graduate students are engaged in scientific work in the department.
Names and duties of department staff:
1. Seyfullayeva Khayala Idris gizi - head of the department, doctor of philosophy in mathematics, part-time associate professor
2. Aliyeva Hijran Hamlet gizi - deputy dean, doctor of philosophy in mathematics, part-time associate professor
3. Gurbanov Nabi Tapdig oglu - doctor of sciences in mathematics, professor
4. Hajiyev Tahir Sadi oglu - doctor of physics and mathematics, part-time professor
5. Huseynov Zafar Gafar oglu - candidate of physics and mathematics, associate professor
6. Aliyev Khalil Haji oglu - candidate of physics and mathematics, associate professor
7. Mammadov Mahammadali Musa oglu – PhD in mathematics, associate professor
8. Safarli Ilgar Seyfeddin oglu - candidate of pedagogical sciences, associate professor
9. Babajanova Vusala Hamza gizi - doctor of philosophy in technology, associate professor
10. Hadiyeva Sevinj Sabir gizi - doctor of philosophy in mathematics, associate professor
11. Mammadov Ilgar Gurbat oglu - doctor of sciences in mathematics, part-time associate professor
12. Rzayeva Gunay Fikret gizi - doctor of philosophy in mathematics, senior teacher
13. Nasibzade Vusala Nazim gizi - doctor of philosophy in mathematics, senior teacher
14. Akbarov Asim Alasgar oglu – Doctor of Philosophy in Mathematics, part-time senior teacher
15. Taghiyev Hikmet Tahir oglu - doctor of philosophy in mathematics, part-time senior teacher
16. Gasimov Telman Mehdi oglu - doctor of philosophy in mathematics, part-time senior teacher
17. Ismayilova Gunay Gafil gizi - senior teacher
18. Hasanli Nijat Ismail oglu - senior teacher
19. Kadirli Nigar Azad gizi - doctor of philosophy in mathematics, assistant (maternity vacation)
20. Yagnaliyeva Aybeniz Hagverdi gizi - assistant
21. Rzayeva Vafa Gulaga gizi - assistant
22. Agamaliyeva Kamala Faig gizi - assistant
23. Nasirova Leyla Vidadi gizi - assistant
24. Abdullayeva Konul Fail gizi - assistant
25. Zulfaliyeva Gulnara Sumeddin gizi - assistant (maternity vacation)
26. Shadlinskaya Leyla Razim gizi – assistant
Subjects taught:
Undergraduate level
1. Mathematical analysis
2. Additional chapters of mathematical analysis
3. Ordinary differential equations
4. Differential equations
5. Differential and integral equations
6. Straight and inverse boundary value problems for differential equations
7. Higher algebra
8. Algebra
9. Additional chapters of algebra
10. Algebra and number theory
11. Linear algebra and mathematical analysis
12. Discrete mathematics and logical elements
13. Discrete mathematics and mathematical logic
14. Discrete mathematics
15. Applied mathematics
16. Theory of complex variable functions
17. Theory of functions with real variables
18. Theory of functions and functional analysis
19. Functional analysis
20. Mathematical physics equations
21. Optimal control in mathematical physics problems
22. Calculus of variations and optimization methods
23. Mathematical theory of optimal management
24. Computational mathematics
25. Calculation methods
26. Probability theory and mathematical statistics
27. Linear integral equations and their approximate solution methods
28. Integral transformations and their applications
29. Some issues of approximation theory
30. Operations research and game theory
31. Mathematics and statistics
32. Differential calculus
33. Integral calculation
Master"s level
1. Theory of differential equations with inclined arguments
2. Cauchy and boundary value problems for special differential equations
3. Qualitative theory of differential equations
4. Inverse problems of mathematical physics
5. Spectral theory of differential equations
6. Numerical methods of mathematical programming
7. Operation calculus and its application in solving differential equations
8. Mathematical issues of management theory
9. Numerical methods of optimal management problems
10. Issues of optimal management of discrete systems
11. Theory of management and observation
12. Issues of optimal management of distributed parameter systems
13. Discrete mathematics
14. Research methods
15. Mathematical issues of management theory
16. Theory of functional-differential equations
17. Combinatorial optimization and complexity theory
18. Elements of management theory in conditions of uncertainty
19. Solving variation problems by numerical methods
20. Modern problems of science
21. Non-linear analysis
22. Generalized functions
23. Harmonic analysis
24. Laplace transform and its applications
25. Fourier transform, Laplace transform and their applications
26. Quadrature formulas for singular integrals and their applications
27. Fourier transforms of generalized functions
28. Solving algebraic equations by approximate methods
29. Methods of solving incorrect problems
30. Solution of special derivative differential equations by approximate methods
31. The role of approximate methods in solving problems of natural sciences
32. Solving differential equations using spline functions
33. Basics of calculation methods
Scientific directions of the department:
1. Issues of application of mathematical analysis.
2. Study of modeling, optimization and system dynamics issues of modular dynamic systems (MDS).
3. Study of issues of optimal control of continuous systems with aggregated and distributed parameters.
The main scientific publications of the department in recent years:
5 books, 260 articles, including 53 articles were published abroad. These articles were published in a journal included in the Web of Science and Scopus databases.
82 syllabuses, 4 monographs, 70 subject programs, 12 teaching books and 5 methodical books were published.
The staff of the department have scientific-pedagogical relations with the Institute of Mathematics and Mechanics of the Ministry of Science and Education, Institutes of Information Technologies, BSU, NSU, AUL, MSU, Azerbaijan State Oil and Industry University, Azerbaijan Architectural And Construction University, Azerbaijan State Pedagogical University, UNEC, a number of higher education institutions and scientific centers of foreign countries, Kharkov Technical University, Astrakhan State University, Tbilisi State University named after Ivane Javakhishvili, Dagestan State University, Moscow Aviation Institute, Kuban State Agrarian State University, Mathematical Institute of the Belarusian Academy of Sciences, Institute of Management Problems of the Russian Academy of Sciences, National Technical University of the Republic of Kazakhstan, Ege University and Kafkas University of the Republic of Turkiye (Kars city) .
