Advanced Mathematics

Course: Management and Ecology of Water Resources

Structural unit: heohrafichnyi fakultet

Title
Advanced Mathematics
Code
ОК.02
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
2 Semester
Number of ECTS credits allocated
3
Learning outcomes
PR01. Collect, process and analyze information in the region of Earth Sciences.PR07. Apply models, methods and data physics, chemistry, biology, ecology, mathematics, information technologies, etc. when studying natural processes of formation and development geosphere PR09. Be able to do research atmosphere and other geospheres with the help of quantitative methods of analysis.
Form of study
Full-time form
Prerequisites and co-requisites
The student must 1. Know: basic concepts, facts and theorems of linear and vector algebra, analytical geometry, mathematical analysis and differential calculus. 2. Be able to: actively use and creatively apply the above knowledge in the process of mastering the material of the "Higher Mathematics" course. 3. Possess elementary skills: operate with matrices and calculate determinants, solve systems of algebraic equations, find limits sequences and functions, calculate the derivative and integral.
Course content
The educational discipline "Higher mathematics" is a component of educational and professional specialist training programs at the "bachelor" level of the field of knowledge 10 "Natural Sciences" from the specialty 103 "Earth Sciences" of the educational and professional programs "Meteorology". This discipline is mandatory. Discipline "Higher mathematics" studies the basics of linear and vector algebra, analytical geometry, limits of sequences and functions, differential calculus of functions of the same and of many variables, integral calculus, theory of ordinary differential equations and systems of ordinary differential equations, elements of probability theory and of mathematical statistics.
Recommended or required reading and other learning resources/tools
1. Vyshcha matematyka: Osnovni oznachennya, pryklady i zadachi. Za red. Kulinicha H.L. – K.: Lybidʹ, 1992. 2. Vyshcha matematyka. Pidruchnyk: u 2-kh kn. – 2-he vyd., za red. Kulinicha H.L. − K.: Lybidʹ, 2003. 3. Vyshcha matematyka. Pidruchnyk. Za red. Ponomarenka V.S. – Kharkiv, 2014. 4. Vyshcha matematyka: Zb. zadach: U 2 ch. Za zah. red. d-ra tekhn. nauk, prof. P.P. Ovchynnykova – 2-he vyd. – K.: Tekhnika, 2004. 5. Vyshcha matematyka u prykladakh i zadachakh: u 2 t. Za red. L.V. Kurpy – Kharkiv: NTU «KHPI», 2009. 6. Lektsiyi i vpravy z vyshchoyi matematyky / Kerekesha P.V. – O. «Astropryt», 2003. 7. Zbirnyk zadach z vyshchoyi matematyky. Za red. F.S. Hudymenka – Vyd. Kyyivsʹkoho universytetu, 1967.
Planned learning activities and teaching methods
Lecture classes, practical classes using mathematical packages
Assessment methods and criteria
Active work at lectures. Individual work. Modular control work.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Taras V. Klimchuk
The Department of General Mathematics
Faculty of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv

Departments

The following departments are involved in teaching the above discipline

The Department of General Mathematics
Faculty of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv