Infopaket

Geomathematics

ВК 3.1.3

Вибіркова дисципліна для ОП

Second

2022/2023

3 Semester

4

+ Analyze the features of natural and anthropogenic systems and objects of the Earth's geospheres + Apply their knowledge to identify and solve problematic issues and make informed decisions in the Earth sciences + Be able to communicate with specialists and experts of different levels of other fields of knowledge, including in the international context, in the global information environment + Know modern methods of studying the Earth and its geospheres and be able to apply them in production and research activities + Demonstrate the ability to adapt and act in a new situation related to work in the specialty, the ability to generate new ideas in the field of Earth sciences + Create specialized software products, use web technologies and remote sensing data in scientific and production activities

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", "Prospecting and Exploration of Mineral Deposits" and others; as well as physical and mathematical disciplines taught within the blocks of normative and variable disciplines: "Linear Algebra and Analytic Geometry, Mathematical Analysis, Physics, Probability Theory and Mathematical Statistics, Computational Mathematics.

The purpose of the discipline "Applied Mathematics in Geosciences" is to teach students to formulate and solve applied mathematical problems in the in the field of earth sciences. The task is to acquire practical skills in mathematical formalization and solution of applied geological problems. The course consists of two content modules. The first one is devoted to an overview of modern approaches to the formalization of geological problems and mathematical methods of their and mathematical methods of their solution. The second content module is devoted to the application of applied mathematical methods to real problems of the geological and geophysical industry.

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. Baikov V., Bakyrov N., Yakovlev A. Matematycheskaia heolohyia. T.1., 2012. 8. An Invitation to Geomathematics: Lecture Notes in Geosystems Mathematics and Computing / Willi Freeden, Clemens Heine, M. Zuhair Nashed. Springer Nature Switzerland AG, 2019

Lectures, Practical classes, Independent work.

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