Mathematical Analysis and Functions Theory

The department has been operating since February 9, 2004. From February 9, 2004 to July 14, 2017, the department was headed by Prof. Kahramanov Polad Farrukh oglu. Since 15.07.2017, the department has been headed by Prof. Gurbanov Nabi Tapdig oghlu.

There are 2 professors, 6 associate professors, 2 senior teachers and 3 assistants working in the department.

**Faculty members of the department:**

1. Gurbanov Nabi Tapdig - head of the department, doctor of sciences in mathematics, professor

2. Kahramanov Polad Farrukh - doctor of sciences in mathematics, professor

3. Huseynov Zafar Ghafar - candidate of physics and mathematics, associate professor

4. Aliyev Khalil Haji - candidate of physics and mathematics, associate professor

5. Safarli Ilgar Seyfeddin – candidate of pedagogical sciences, associate professor

6. Mammadov Mahammadali Musa – doctor of philosophy in mathematics, associate professor

7. Babajanova Vusala Hamza - doctor of philosophy in engineering, associate professo

8. Hadiyeva Sevinj Sabir -doctor of philosophy in engineering in mathematics, associate professor

9. Rzayeva Gunay Fikret - doctor of philosophy in engineering in mathematics, head teacher

10. Ismayilova Gunay Gafil - senior teacher

11. Eyvazli Gunel Mubariz – assistant

12. Gadirli Nigar Azad - doctor of philosophy in engineering in mathematics, assistant

13. Abdullayeva Konul Fail – assistant

**Teaching assistant staff:**

1. Agamaliyeva Kamala Faig - senior laboratory assistant

1 dissertation student, 1 doctoral student and 6 master's students are engaged in scientific work in the department.

**Subjects taught at the Bachelor's level:**

**Mathematics teaching major:**

1. Mathematical analysis-1,2,3

2. Theory of functions and functional analysis

3. Theory of complex variable functions

4. Probability theory and mathematical statistics

5. Computational mathematics

7. Linear integral equations and their approximate solution methods

Mathematics and informatics teaching major:

1. Mathematical analysis-1,2,3

2. Theory of functions with real variable

3. Functional analysis

4. Theory of complex variable functions

5. Probability theory and mathematical statistics

6. Computational mathematics

7. Linear integral equations and their approximate solution methods

**Majoring in Mathematics:**

1. Mathematical analysis-1,2,3,4

2. Theory of functions and functional analysis-1,2

3. Theory of complex variable functions

4. Probability theory and mathematical statistics

5. Calculation methods

6. Linear integral equations and their approximate solution methods

7. Additional chapters of mathematical analysis

8. Some issues of approximation theory

9. Integral transformations and their applications

**Informatics teaching specialty:**

1. Mathematical analysis

2. Theory of complex variable functions

3. Probability theory and mathematical statistics

**Faculty of Economics and Management at the bachelor's level:**

1. Linear algebra and mathematical analysis

2. Probability theory and mathematical statistics

Faculty of Engineering at the bachelor's level:

1. Mathematical analysis

2. Mathematical analysis-1,2

3. Probability theory and mathematical statistics

**Faculty of Chemistry and Biology at the bachelor's level:**

Mathematical analysis

1. Mathematical analysis

2. Mathematical analysis-1,2

3. Probability theory and mathematical statistics

**Faculty of History and Geography at the bachelor level:**

1. Mathematics and statistics

**Faculty of Physics and Electronics for the bachelor's degree:**

1. Mathematical analysis-1,2

2. Mathematical analysis

3. Probability theory and mathematical statistics

4. Differential calculus

5. Integral account

6. Theory of complex variable functions

Master's degree subjects

**Majoring in Mathematics Majoring in Mathematical Analysis:**

1. Modern problems of mathematics

2. History and methodology of mathematics

3. Spectral theory of differential operators

4. Constructive theory of functions

5. Non-linear analysis

6. Generalized functions

7. Boundary problems of analytic functions and singular integral equations

8. Harmonic analysis

9. Fourier transform, Laplace transform and their applications

10. Quadrature formulas for singular integrals and their applications

11. Fourier transforms of generalized functions

**Mathematics specialization Computational mathematics specialization:**

1. Modern problems of mathematics

2. History and methodology of mathematics

3. Solution of operator equations by approximate methods

4. Solving algebraic equations by approximate methods

5. Solution of ordinary differential equations by approximate methods

6. Methods of solving incorrect problems

7. Approximate methods of solving special derivative differential equations

8. The role of approximate methods in solving natural science problems

9. Solving differential equations using spline functions

**Computer Science Major Informatics Specialization:**

1. Basics of calculation methods

Scientific directions of the department: Application issues of mathematical analysis.

**The main scientific publications of the department in recent years:**

230 articles, including 42 articles, were published abroad.

57 syllabuses, 2 monographs, 50 subject programs, 7 teaching resources and 4 methodical resources were published.

Department employees of the Institute of Mechanics and Mathematics of the Ministry of Science and Education, Institute of Management Systems of the Ministry of Science and Education, BSU, ASOSU, AACU, Kharkov Technical University, Astrakhan State University, Tbilisi, Tbilisi State University named after Ivane Javakhishvili, Dagestan State University, Moscow Aviation Institute, It has scientific-pedagogical relations with the Kuban State Agrarian State University.