Infopaket

Advanced Mathematics

ОК.02

Обов’язкова дисципліна для ОП

First

2023/2024

1 Semester

4

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.

Full-time form

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.

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.

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.

Lecture classes, practical classes using mathematical packages

Active work at lectures. Individual work. Modular control work.

Ukrainian