Mathematics of Science

2021/2022

Academic Year

ENG

Instruction in English

6

ECTS credits

Delivered at:

Department of Fundamental Mathematics (Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod))

Course type:

Compulsory course

When:

1 year, 1-4 module

Instructor

Pelinovsky, Efim

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

Assessment Elements

• Control work
• Exam
• Control work
• Exam

Interim Assessment

• 2021/2022 2nd module
  0.3 * Control work + 0.7 * Exam
• 2021/2022 4th module
  0.7 * Exam + 0.3 * Control work

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