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Applied mathematical analysis in geosciences

ВК 5.2

Обов’язкова дисципліна для ОП

First

2023/2024

5 Semester

6

- Apply models, methods and data of physics, chemistry, biology, ecology, mathematics, information technology, etc. in the study of geological processes and structures. - Be able to perform research on geospheres using quantitative methods of analysis.

Distance form

Successful mastering of courses: higher mathematics, basics of geoinformatics

Within the framework of the discipline the applied aspects of the application of the apparatus of mathematical analysis, analytical geometry, probability theory and mathematical statistics to solve typical problems of Earth sciences, in particular, geoinformatics. An overview of modern systems of mathematical analysis as proprietary (Matlab, Mathematica, Maple, Mathcad) and freely distributed (Python, R, Scilab, Octave, Mupad). The collection of thematic applied problems of geology, geophysics and other areas using spatial data demonstrates the tools and capabilities of modern systems of mathematical analysis, provides theoretical and practical information on formalizing the problem, building and optimizing computational algorithms, their software implementation, debugging, thematic analysis and interpretation of the obtained results.

1. Martin H. Trauth (2015) MATLAB Recipes for Earth Sciences. Fourth Edition. © Springer-Verlag Berlin Heidelberg. 2. Swan ARH, Sandilands M (1995) Introduction to geological data analysis. Blackwell Sciences, Oxford. 3. Carr JR (1994) Numerical Analysis for the Geological Sciences. Prentice Hall, Englewood Cliffs, New Jersey. 4. Davis JC (2002) Statistics and Data Analysis in Geology, Tird Edition. John Wiley and Sons, New York. 5. Quarteroni A, Saleri F, Gervasio P (2014) Scientif c Computing with MATLAB and Octave – 4th Edition. Springer, Berlin Heidelberg New York. 6. Middleton GV (1999) Data Analysis in the Earth Sciences Using MATLAB. Prentice Hall, New Jersey. 7. William Haneberg (2004) Computational Geosciences with Mathematica. Springer Science & Business Media. 8. Bivand, R. S., E. J.Pebesma, and V.Gomez-Rubio (2008), Applied Spatial Data Analysis With R, 378 pp.,Springer, New York.

Lectures, practical classes, consultations, independent work

Evaluation organization: - modular test 1 (on vector-matrix operations in automated systems of mathematical analysis) involves an oral interview (maximum - 15 points) and control over the implementation of practical tasks (maximum - 15 points); - modular control work 2 (on statistical processing of data of geological and geophysical researches) provides control over performance of practical tasks (maximum - 10 points) and estimation of program realization of the set geological task (maximum - 20 points); - the final assessment is carried out in the form of quality control of the program implementation of the proposed examination tasks (4 tasks of 10 points each).

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