Mathematical Modeling in the Geosciences
Course: Geoinformation systems and Technologies
Structural unit: Educational and Scientific Institute "Institute of Geology"
Title
Mathematical Modeling in the Geosciences
Code
ВБ 2.01
Module type
Вибіркова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
4
Learning outcomes
Know the theoretical foundations of geology, geodesy, higher and engineering geodesy, topographic and thematic mapping, mapping and updating maps,
remote sensing of the Earth and photogrammetry, land management, real estate appraisal and land cadastre.
- Use geostatistical data and mathematical modeling to process geodetic and geological research.
- Have modern technologies for data collection, processing, exchange, transformation and integration in various fields of geosciences.
Form of study
Full-time form
Prerequisites and co-requisites
For successful mastering of this discipline it is necessary to understand the general geological issues taught in such disciplines as "General
geology "," Hydrogeology "," Fundamentals of geophysics "," Engineering geology "," Fundamentals of geochemistry "," Mineralogy "," Search and exploration of mineral deposits "and others; as well as physical and mathematical disciplines taught in the blocks of normative and variable disciplines: "Linear algebra and analytical geometry", "Mathematical analysis", "Physics", "Probability theory and mathematical statistics".
Course content
The purpose of the discipline is to acquaint students with the practical aspects of using mathematical methods in geological applications.
The task is to acquire practical skills of formulation and solution of applied geological problems by methods of mathematical modeling. The course consists of two content modules. The first is devoted to a review of formal mathematical methods and their algorithmic implementations, which are widely used in geological applications. The second content module is devoted to the practical implementation of specific algorithms on the collection of applied problems.
Recommended or required reading and other learning resources/tools
1. GRASS GIS, Quantum GIS, MAPINFO, ArcGIS, ERDAS IMAGINE, ENVI / Help.
2. Pavlenko P. M., Filonenko S. F., Cherednikov O. M., Treitiak V. V. Mathematical modeling of systems and processes: teaching. manual. – K.: NAU, 2017. – 392 p.
3. Tomashevsʹkyy V.M. Modelyuvannya system. – K.: Vydavnycha hrupa BYV, 2005, 352 s. ISBN 966-552-120-9.
4. Marrugat M., Analysis of modelling 3D bedrock surfaces using interpolation methods. Stockholm, Sweden 2022
Planned learning activities and teaching methods
Lectures, practical classes, independent work
Assessment methods and criteria
Language of instruction
ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline