Master
2024/2025
Mathematics of Science
Type:
Compulsory course (Mathematics)
Area of studies:
Mathematics
Delivered by:
Department of Fundamental Mathematics
When:
1 year, 3, 4 module
Mode of studies:
offline
Open to:
students of one campus
Master’s programme:
Mathematics
Language:
English
ECTS credits:
6
Course Syllabus
Abstract
The course is dedicated to mathematical methods of Theory of Dynamical Systems and their applications to some problems of Natural Science. The main attention concerns with physical and biological problems. The course aims to prepare students to work with applications of mathematical methods to some areas of natural science.
Learning Objectives
- The course aims to prepare students to work with applications of mathematical methods to some areas of natural science, and familiarization with actual scientific problems related to physics and biology.
Expected Learning Outcomes
- Deduction of Euler hydrodynamic equation.
- Invesigation of 2-body problem.
- Investigation of Andronov oscillator.
- Investigations of two-dimensional Lottka-Voltera system.
Course Contents
- Applications of dynamical systems in Celestial Mechanics
- Application of dynamical systems in Hydrodynamics
- Mathematical models of oscillators.
- Applications of dynamical systems in Biology
Bibliography
Recommended Core Bibliography
- A Few Lessons from American History: Reader for Students of English . — Москва : СТАТУТ, 2014. — 80 с. — ISBN 978-5-8354-1011-8. — Текст : электронный // Лань : электронно-библиотечная система. — URL: https://e.lanbook.com/book/61518 (дата обращения: 00.00.0000). — Режим доступа: для авториз. пользователей.
- AutoCAD 2010. Официальный учебный курс . — Москва : ДМК Пресс, 2010. — 694 с. — ISBN 978-5-94074-613-3. — Текст : электронный // Лань : электронно-библиотечная система. — URL: https://e.lanbook.com/book/1322 (дата обращения: 00.00.0000). — Режим доступа: для авториз. пользователей.
Recommended Additional Bibliography
- Conee, E. B., & Sider, T. (2014). Riddles of Existence : A Guided Tour of Metaphysics: New Edition (Vol. New edition). Oxford: OUP Oxford. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=864690