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04
Октябрь

Research Seminar

2026/2027
Учебный год
ENG
Обучение ведется на английском языке
9
Кредиты
Статус:
Курс обязательный
Когда читается:
2-й курс, 1-4 модуль

Преподаватели

Course Syllabus

Abstract

The research seminar is designed for second-year Bachelor’s students enrolled in the Physics degree programme. It is divided into two parts. The first part introduces the fundamental concepts of linear operators and bilinear forms, tensor algebra, and manifolds. The seminar develops students’ ability to use abstract mathematical structures in physical contexts, formulate problems in coordinate-free language, and apply appropriate mathematical methods to theoretical and research tasks. Particular attention is paid to connecting formal definitions with physical interpretation and to developing skills in reading, discussing, and presenting mathematical and physical arguments. The second part of the course is aimed at training future specialists in competencies in the field of research activities, studying by students the main forms and methods of conducting scientific and research work for students at the university.
Learning Objectives

Learning Objectives

  • To obtain basic knowledge for further scientific and research work.
  • To development students' competencies in the field of scientific research activities and present the main forms and methods of conducting scientific research work (NIRS) at the university to students.
Expected Learning Outcomes

Expected Learning Outcomes

  • Successfully solves problems on the topic
  • Uses terminology on the topic correctly.
  • Uses the mathematical apparatus correctly.
  • The student analyzes and interprets the content of a scientific publication and the experimental techniques used in the work.
  • The student decides on the necessary experimental methodology to solve experimental problems in solid-state physics.
  • The student analyzes and interprets the content of a scientific publication and the mathematical methods used in the work.
Course Contents

Course Contents

  • 1. Linear operators and bilinear forms.
  • 2. Tensor algebra
  • 3. Manifolds
  • 4. Experimental techniques of solid-state physics
  • 5. Mathematical aspects of quantum field theory
Assessment Elements

Assessment Elements

  • blocking Экзамен 1
  • blocking Экзамен 2
  • non-blocking Доклад в 3 модуле
    Студент делает обзорный доклад по научной статье и использованным в ней методам
  • blocking Экзамен в 4 модуле
    Студент должен подготовить и сделать обзорный доклад по научной статье и использованным в ней методам
Interim Assessment

Interim Assessment

  • 2026/2027 1st module
    1 * Экзамен 1
  • 2026/2027 2nd module
    1 * Экзамен 2
  • 2026/2027 4th module
    0.5 * Экзамен в 4 модуле + 0.5 * Доклад в 3 модуле
Bibliography

Bibliography

Recommended Core Bibliography

  • James D. Patterson, & Bernard C. Bailey. (2019). Solid-State Physics : Introduction to the Theory (Vol. 3rd ed. 2018). Springer.
  • Linear Algebra - CCBY4_058 - David Cherney, Tom Denton, & Andrew Waldron - 2022 - Open Educational Resources: libretexts.org - https://ibooks.ru/products/390844 - 390844 - iBOOKS
  • Tom Lancaster, & Stephen J. Blundell. (2014). Quantum Field Theory for the Gifted Amateur: Vol. First edition. OUP Oxford.
  • Williams, G. (2019). Linear Algebra with Applications (Vol. Ninth edition). Burlington, MA: Jones & Bartlett Learning. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1708709

Recommended Additional Bibliography

  • Hsing, T., & Eubank, R. L. (2015). Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators (Vol. First edition). West Sussex, UK: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=968929
  • Sadovskii, M. V. (2013). Quantum Field Theory. De Gruyter.
  • Solid-state physics/ J. Patterson, B. Bailey. –Springer, 2010.–URL: https://www.springer.com/gp/book/9783642025884–ЭБСSpringer eBooks

Authors

  • Postushkov Sergei Sergeevich
  • Goriachko Evgenii Evgenevich
  • Svinarev Fedor Borisovich
  • Sheinman Ilia Lvovich