Teaching Process

The normative courses

"Differential Equations", "Variational calculus and optimization methods", "Integral equations and elements of functional analysis", "Dynamical Systems", "Fundamentals of actuarial and financial analysis".

Special courses

“Introduction to Qualitative Theory of Differential Equations", "Local Analysis of Nonlinear Differential Equations", "Qualitative and Analytical Methods of Differential Equations", "Methods of Global Analysis of Differential Equations", "Stability Theory", "Second Method of Lyapunov", "Economics and Mathematical Models", "Differential Equations with Multi-valued Right-hand Part", "Analitic and Geometric Methods of Nonlinear Differential Equations Analysis", "Multifrequency Oscillations and Elements of Oscillation Processes Theory".

Programs of courses and questions on courses

**"Differential Equations" (mathematics)**

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**"Differential Equations" (mechanics)**

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**"Differential Equations" (statistics)**

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**"Integral Equations and Elements of Functional Analysis"**

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**"Variational Calculus and Optimization Methods"**

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**"Dynamical Systems" (master)**

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**"Dynamical Systems" (specialist)**

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**"Fundamentals of actuarial and financial analysis"**

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Textbooks, manuals and methodical developments

Collection of problems of high complexity of the course "Differential Equations". Textbook for students of higher educational institutions. Compilers: Kapustyan O.V., Kasyanov P.O., Pozur S.V., Sukretna A.V., Feschenko I.S. Edited by Academician of NAS of Ukraine M.O. Perestyuk. - K.: STPC "Kyiv University", 2011. - 79 p. (in Ukrainian)

Perestyuk M.O., Stanzhytskyy O.M., Kapustyan O.V., Loveikin Yu.V. Variational calculus and methods of optimization. Teach. manuals. - K.: STPC "Kyiv University", 2010. - 144 p. (in Ukrainian)

Samoilenko A.M., Perestyuk M.O., Parasyuk I.O. Differential equations. Textbook.

3rd edition - Kyiv: VTSP "Kyiv University", 2010. - 527 p.

2nd edition - Kyiv: Lybid, 2003. 600 p.

1st edition - Kyiv: Lybid, 1994, 360 p. (in Ukrainian)

Differential equations. The task of credit-module control for students of Mechanics and Mathematics Faculty. Compilers: Parasyuk I.O, Stanzhytskyy O.M., Kapustyan O.V., Chernikova O.S., Sukretna A.V. Loveikin Yu.V., Zadoyanchuk N.V. Edited by Academician of NAS of Ukraine M.O. Perestyuk. - K.: offset printing department of Mechanics and Mathematics Faculty of Taras Shevchenko National University of Kyiv, 2010. - 43 p. (in Ukrainian)

Samoilenko A.M., Krivosheya S.A., Perestyuk N.A. Differential equations. Practical Course. - Moscow: Vysshaya Shkola, 2006. (in Russian)

Parasyuk I.O. Introduction to the theory of qualitative theory of differential equations. Teach. manuals. - K.: STPC "Kyiv University", 2005. - 88 p. (in Ukrainian)

Perestyuk M.O., Svishchuk M.Ya. Collection of problems in differential equations. – Kyiv: "TViMS", 2004. (in Ukrainian)

Perestyuk M.O., Ponomarenko O.I., Burym V.M. Modern economic analysis. Microeconomics. - Kyiv: Vyscha Shkola, 2004. (in Ukrainian)

Perestyuk M.O., Ponomarenko O.I., Burym V.M. Modern economic analysis. Macroeconomics. - Kyiv: Vyscha Shkola, 2004. (in Ukrainian)

Samoilenko A.M., Krivosheya S.A., Perestyuk M.O. Differential equations in problems. - Kyiv: Lybid, 2003. (in Ukrainian)

Perestyuk M.O., Marinets V.V. Theory of partial differential equations. - Kyiv: Lybid, 2001. (in Ukrainian)

Perestyuk M.O., Ponomarenko O.I, Burym V.M. Principles of mathematical economics. - Kyiv: Informtehnika, 1995. (in Ukrainian)

Samoilenko A.M., Krivosheya S.A., Perestyuk N.A. Differential equations: examples and problems. - Kyiv: Vysshaya Shkola, 1994. (in Russian)

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Integral and Differential Equations Department

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