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XuetangX

Theoretical Mechanics

Xihua University via XuetangX

Overview

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Theoretical Mechanics is a compulsory fundamental course for students majoring in Applied Physics. It serves as an advanced follow-up course in mechanics and also provides the foundation for studying other theoretical physics courses.

The course covers the core concepts, knowledge framework, methodologies, practical tools, and applications of theoretical mechanics, including but not limited to: the basic definitions and formal methods of mechanical systems; the description of motion phenomena and the underlying principles of simple particle mechanical systems; the analytical mechanics approaches for analyzing and interpreting particle systems; rigid body motion and various forms of dynamical equations; and computer simulations of linkage systems and chaotic pendulums.

Through this course, students will not only strengthen their comprehensive and systematic understanding of the fundamental laws governing macroscopic mechanical motion, but also learn new approaches for solving complex mechanical problems using analytical mechanics from an energy perspective. Students will gain preliminary skills in applying scientific computing tools, thereby developing their abilities in abstract thinking, logical reasoning, applying advanced mathematics and computational tools to solve physical problems, as well as self-directed learning and innovation. This course lays a solid foundation for further study of other theoretical physics courses.


Syllabus

  • Part I Understanding the Whole Through Element Networks — Systems Theory
    • Part II Describing Motion Through Quantitative Changes — Particle Systems
      • Part III Governing Motion Through Microscopic Rules — Vector Mechanics
        • Part IV Reconstructing Motion Through Macroscopic Principles — Analytical Mechanics
          • Part V Solving Problems with Modern Tools — Python
            • Final Exam

              Taught by

              Fu Jia and Ji Yupin

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