Infopaket

Ecological and economic processes and their modeling

ННД.09

Обов’язкова дисципліна для ОП

First

2021/2022

7 Semester

4

LO2. Use modern mathematical apparatus of continuous and discrete analysis, linear algebra and analytical geometry to solve theoretical and applied problems in design and implementation of informatization objects. LO3. Use the knowledge about regularities of random phenomena, their properties and operations on them, about models of random processes and modern software environments for solving some problems of statistical data processing and predictive models construction. LO7. Be able to apply the methodology of objects, processes and systems simulation to plan and implement experiments with models, decision making to achieve the aim according to the modeling results.

Full-time form

To successfully learn the discipline «Ecological and economic processes and their modeling» the student's academic level must meet the following requirements: tо know: standard courses of mathematical analysis, differential equations, numerical methods materials; be able to: set and solve optimization problems; work with matrices; find functions extreme values; solve and investigate differential equations and systems, in particular, using numerical methods; to possess: basic skills of model construction, work with statistical information.

Familiarization with: basic principles of the most microeconomics and macroeconomics widespread mathematical models (consumption and production theories; economic agents market interaction; static and dynamic balance models; economic growth and investments distribution models) construction and research; basic principles of the most widespread population dynamics mathematical models, various types modeling of interaction between populations, use of these principles for independent construction and research of the corresponding models; ecological and economic interaction modeling (different approaches to modeling; balance and optimization models; simulation modeling), as well as familiarization with examples of their application for practice, in particular – to predict the dynamics of specific phenomena.

1. Liashenko I.M., Korobova M.V., Goritsyna I.A. Modeliuvannia ekonomichnykh, ekolohichnykh i sotsialnykh protsesiv. K.: VPTs «Kyivskyi universytet», 2010. 320 s. 2. Liashenko I.M., Mukoied A.P. Modeliuvannia biolohichnykh ta ekolohichnykh protsesiv. K.: VPTs «Kyivskyi universytet», 2002. 340 s. 3. Bazykin A.D. Nelinejnaya dinamika vzaimodejstvuyushhih populyacij. M., 2003, 368 s. 4. Ponomarenko O.I., Perestiuk M.O., Burym V.M. Suchasnyi ekonomichnyi analiz: U 2ch. Ch.1. Mikroekonomika. Ch.2. Makroekonomika: Navchalnyi posibnyk. K.: Vyshcha shkola, 2004. 472 s. 5. Liashenko I.M., Korobova M.V., Goritsyna I.A., Kolianova T.V. Prosti modeli poiasniuiut skladni yavyshcha. Metodychni rekomendatsii z kursiv «Modeliuvannia ekonomichnykh ta ekolohichnykh protsesiv». http://www.unicyb.kiev.ua/Library/MEEP. 6. Charlz G. Edvards, Devid E. Penni. Differencialnye uravneniya i kraevye zadachi. Modelirovanie i vychislenie s pomoshhyu Mathematica, Maple i MATLAB. M: OOO ID «Vilyams», 2008. 1104 s

Lectures, laboratory classes, independent work.

Assessment during the semester The maximum number of of available points is 100 Laboratory work no 1 – 20/12 points. Laboratory work no 2 – 20/12 points. Laboratory work no 3 – 20/12 points. Laboratory work no 4 – 20/12 points. Laboratory work no 5 – 20/12 points. Final assessment in the test form: Credit points are defined as the sum of grades/points for all learning outcomes successfully assessed, provided by this program. The minimum threshold for the all components total assessment is 60% of the maximum points possible.

Ukrainian