Geomathematics
Course: Geoinformation systems and Technologies
Structural unit: Educational and Scientific Institute "Institute of Geology"
            Title
        
        
            Geomathematics
        
    
            Code
        
        
            ВK 3.1.3
        
    
            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, drawing up and updating maps,
remote sensing of the Earth and photogrammetry, land management, real estate evaluation and land cadastre.
Possess modern technologies of data collection, processing, exchange, transformation and integration in various fields of geosciences.
        
    
            Form of study
        
        
            Prerequisites and co-requisites
        
        
            Possession of basic skills in physical and mathematical disciplines.
        
    
            Course content
        
        
            In the program of the discipline, the main attention is paid to the history of development and modern methods of applied mathematics, methods of formalization of geological, geodetic and land management information, methodology of posing and solving geological, geodetic and land management problems using methods of applied mathematics.
        
    
            Recommended or required reading and other learning resources/tools
        
        
            1. Progress in Geomathematics, Editors Graeme Bonham-Carter, Qiuming Cheng, Springer, 2008.
2. Tsuneji Rikitake , R. Sato , Y. Hagiwara (1987) Applied Mathematics for Earth Scientists (Mathematical Approaches to Geophysics)
3. Ferguson, John (2013). Mathematics in Geology
4. Zhukov M.N. Statystychnyi analiz heolohichnykh danykh: navch. posib., KNU im. T.Shevchenka, 1995
5. Michael L. Stein. Interpolation of Spatial Data: Some Theory for Kriging. Springer, 1999
6. Heoinformatsiinyi analiz i prykladna heostatystyka. Navchalno-metodychnyi posibnyk / S. Kokhan., V. Havryshenko. 2013
7. An Invitation to Geomathematics: Lecture Notes in Geosystems Mathematics and Computing / Willi Freeden, Clemens Heine, M. Zuhair Nashed. Springer Nature Switzerland AG, 2019
8. Christakos G. Modern Spatiotemporal Geostatistics. Oxford Univ. Press, 2000.
        
    
            Planned learning activities and teaching methods
        
        
            lectures and practical classes and independent work
        
    
            Assessment methods and criteria
        
        
            Control is carried out according to the modular rating system and includes:
performance of 5 practical works (where students have to demonstrate the quality of acquired knowledge and
to solve the tasks using the methods and tools outlined by the teacher) and
conducting two written modular control papers. The final assessment is conducted in
in the form of a written assessment.
        
    
            Language of instruction
        
        
            ukrainian
        
    Lecturers
This discipline is taught by the following teachers
                    Dmytro
                    
                    Bezrodniy
                
                
                    Geophysics 
Educational and Scientific Institute "Institute of Geology"
            Educational and Scientific Institute "Institute of Geology"
Departments
The following departments are involved in teaching the above discipline
                        Geophysics
                    
                    
                        Educational and Scientific Institute "Institute of Geology"