Mathematical Physics: The Establishment and Application of Mathematical Model of Classical Mechanical Theory

Course 5: Mathematical Physics: The Establishment and Application of Mathematical Model of Classical Mechanical Theory

I. Course Description

In the field of physics today, the application and applied mathematics of theoretical physics play an important role. With the continuous development of science and technology and society, the application fields of physics are increasingly extensive, involving energy, materials, medicine and other fields. By studying the basic laws and properties of matter, theoretical physics provides the theoretical basis for solving practical problems, and provides guidance for scientific and technological innovation and engineering design. Applied mathematics provides accurate mathematical tools and methods for the analysis and interpretation of physical experimental data, and supports the establishment and optimization of physical models. The application of theoretical physics and the research results of applied mathematics provide important support for promoting scientific progress, solving practical problems and personal career development.

The course background covers a number of core subject areas, including mathematics and physics. Students will study the application of the power series expansion method and the complex number planes in the subject, which is an important tool for solving many mathematical and physical problems. They will also learn the basic principles and techniques of complex analysis, as well as the fundamental concepts of complex plane analysis and fluid dynamics. In addition, students will explore how to solve differential equations, especially by applying partial differential equations in fluid mechanics. Introduction to thermal physics and dynamic theory will also become the focus of students research, providing them with the opportunity to explore the basic principles and phenomena of thermal properties and dynamics. In this subject, students will also gain insight into the application of kinetic theory to plasma physics and how complex analysis can be used to solve the Frasov equation. Through the study of this subject, students will acquire the ability to analyze and solve complex problems and lay the foundation for future research and application in related fields.

II. Professor Introduction

Georgia Acton – Professor, Oxford University

Professor Georgia Acton is a professor of Physics at Merton College, Oxford, and has received his PhD in Physics (D.Phil.). She focuses on teaching undergraduate courses in fluid mechanics and masters in Mathematics and Theoretical Physics at Oxford University, with extensive teaching experience.

In addition, she was invited to be a guest speaker at the 20th European Fusion Theory Conference (EFTC 2023). Georgia There are also intensive research in the field of satellite physics (physics of nuclear fusion devices) and plasma physics.

III. Syllabus

1. Power series expansion method and the introduction to the complex number plane
2. Analysis of complex function functions
3. Complex plane analysis
4. Introduction to fluid dynamics
5. Solve the differential equation
6. Solving the partial differential equations in fluid mechanics
7. An Introduction to thermodynamics
8. Introduction to molecular dynamics
9. The application of molecular dynamics in plasma physics
10. Solve the Vlasov equation