Master 2025/2026

Mathematics of Science

Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'

Type: Compulsory course (Mathematics)

Delivered by: Department of Fundamental Mathematics

Where: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

When: 1 year, 3, 4 module

Open to: students of one campus

Instructors: Ekaterina Didenkulova, Efim Pelinovsky

Language: English

ECTS credits: 6

Contact hours: 80

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

• Кontrol work
• Еxam

Interim Assessment

• 2025/2026 4th module
  0.3 * Кontrol work + 0.4 * Еxam

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

Authors

• Didenkulova Ekaterina Gennadevna
• Pelinovskii Efim Naumovich