Mathematical methods of hydrological research

Course: Management and Ecology of Water Resources

Structural unit: heohrafichnyi fakultet

Title
Mathematical methods of hydrological research
Code
ВБ 1.2.7
Module type
Вибіркова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
5 Semester
Number of ECTS credits allocated
3
Learning outcomes
PR07. Apply models, methods and data of physics, chemistry, biology, ecology, mathematics, information technology, etc. when studying natural processes of geosphere formation and development. PR08. Justify choices and use field and laboratory methods to analyze natural and anthropogenic systems and objects. PR09. To be able to carry out studies of geospheres using quantitative methods of analysis. PR11. Organize and summarize the materials of field and laboratory research. PR15. Be able to choose optimal methods and tools for research, data collection and processing.
Form of study
Full-time form
Prerequisites and co-requisites
To know:the interdependence of natural factors and processes in catchments; regular and random in hydrological processes theoretical provisions of mathematical statistics and probability theory arrangement of information; - statistical parameters of series of hydrological values statistical criteria for checking the homogeneity of series empirical and analytical distribution curves of hydrological series and methods of their calculation statistical analysis of relationships between variables, pairwiseBe able: - organize a random sample according to its properties and set tasks;calculate statistical numerical parameters, evaluate their accuracy to determine sample and analytical statistics of criteria of homogeneity of series calculate analytical curves by various methods to conduct a statistical analysis of the relationships between variables, evaluate their closeness, regression equations apply knowledge of statistics and probability theory to solve problems of engineering hydrology.
Course content
The purpose of the discipline is to provide students with theoretical and practical knowledge in the field of statistical processing of hydrological information based on the provisions of mathematical statistics and the theory of probabilities, the skills and abilities of their application in engineering hydrology in the field of hydrological calculations and forecasts, mathematical modeling to substantiate various hydro-technical, water management, construction projects.
Recommended or required reading and other learning resources/tools
1. Valʹ O.D., Melʹnychuk O.D., Korolyuk S.L. Teoriya ymovirnostey vid nayprostishoho: posibnyk. Chernivtsi, 2004. 160 s. 2. Konet I.M. Teoriya ymovirnostey ta matematychna statystyka v prykladakh i zadachakh: posibnyk. Kamʺyanetsʹ-Podilʹsʹkyy: Abetka, 2001. 218 s. 3. Kushlyk-Dyvulʹsʹka O. I., Polishchuk N. V., Orel B. P., Shtabalyuk P.I. Teoriya ymovirnostey ta matematychna statystyka. K.:NTUU «KPI», 2010.134 s. 4. Medvedyev M.H., Pashchenko I.O. Teoriya ymovirnostey ta matematychna statystyka: pidruchnyk. K.: Kondor, 2008. 536 s. 5. Metodychni vkazivky do vykonannya praktychnykh robit z kursu «Matematychni metody v hidrometeorolohiyi» / Uporyadnyk O.I. Lukʺyanetsʹ. K. : VPTS «Kyyivsʹkyy universytet», 2010. 60 s. 6. Khilʹchevsʹkyy V.K., Hrebinʹ V.V., Manukalo V.O. Hidrolohichnyy slovnyk. Kyyiv: DIA, 2022. 236 s. 8. STOKSTAT 1.2. URL: http://www.eeccawater.net/content/view/543/23/lang,russian/
Planned learning activities and teaching methods
Lectures, surveys, practical classes, independent work, modular control work, exam.
Assessment methods and criteria
Conditions for admission to the exam: the recommended minimum for admission is 36 points. For students who scored a total of less than 36 points (recommended minimum), writing essays on missed or insufficiently mastered topics is a mandatory condition for admission to the exam. - final assessment in the form of an exam is conducted in written format. The maximum number of points during the exam is 40, the minimum number of points added to semester points is 24 (60% of the maximum number of points assigned to the exam). The final grade in the discipline consists of the points scored by the student based on the results of the semester control of the first and second parts and the points of the final test.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Olha Gorbachova
Hydrology and hydroecology
heohrafichnyi fakultet

Departments

The following departments are involved in teaching the above discipline

Hydrology and hydroecology
heohrafichnyi fakultet