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Regular version of the site

Mathematics of Science

2021/2022
Academic Year
ENG
Instruction in English
6
ECTS credits

Instructor

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

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

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

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

Assessment Elements

  • non-blocking Control work
  • non-blocking Exam
  • non-blocking Control work
  • non-blocking Exam
Interim Assessment

Interim Assessment

  • 2021/2022 1st module
  • 2021/2022 2nd module
    0.3 * Control work + 0.7 * Exam
  • 2021/2022 3rd module
  • 2021/2022 4th module
    0.3 * Control work + 0.7 * Exam
Bibliography

Bibliography

Recommended Core Bibliography

  • - A Few Lessons from American History: Reader for Students of English - Общество с ограниченной ответственностью «Издательство «СТАТУТ» - 2014 - ISBN: 978-5-8354-1011-8 - Текст электронный // ЭБС ЛАНЬ - URL: https://e.lanbook.com/book/61518
  • - AutoCAD 2010. Официальный учебный курс - Издательство "ДМК Пресс" - 2010 - ISBN: 978-5-94074-613-3 - Текст электронный // ЭБС ЛАНЬ - URL: https://e.lanbook.com/book/1322

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