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Courseschevron_rightClassical Mechanicschevron_rightClassical Mechanics: A Textbook-Based Course Based on Classical Dynamics of Particles and Systems

Classical Mechanics: A Textbook-Based Course Based on Classical Dynamics of Particles and Systems

schoolUndergraduate
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Course Description

This course provides a comprehensive undergraduate-level introduction to Classical Mechanics, emphasizing both physical intuition and mathematical formalism. The course is textbook-based, following the structure and methodology of Classical Dynamics of Particles and Systems, and covers the foundations of Newtonian mechanics, oscillatory motion, gravitation, variational principles, Lagrangian and Hamiltonian dynamics, rigid body motion, and an introduction to special relativity.

Students develop strong analytical skills through the systematic use of vectors, matrices, coordinate transformations, and calculus, while also gaining deep insight into conservation laws and symmetry principles. The course is problem-driven and designed to prepare students for advanced studies in theoretical physics, applied mechanics, and related fields.

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Learning Outcomes

  • •Matrices, Vectors, and Vector Calculus
  • •Newtonian Mechanics — Single Particle
  • •Oscillations
  • •Nonlinear Oscillations and Chaos
  • •Gravitation
  • •Some Methods in the Calculus of Variations
  • •Hamilton’s Principle — Lagrangian and Hamiltonian Dynamics
  • •Central-Force Motion
  • •Dynamics of a System of Particles
  • •Motion in a Noninertial Reference Frame
  • •Dynamics of Rigid Bodies
  • •Coupled Oscillations
  • •Continuous Systems; Waves
  • •Special Theory of Relativity
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Course Chapters

01

Vectors, Matrice and Vector Calculus-Mathematical Foundations

This chapter provides a concise mathematical refresher on vectors, scalars, matrices, and vector calculus forming the foundation of classical mechanics.
Scalars and vectors are defined through their transformation properties, with particular emphasis on coordinate transformations and the geometrical meaning of transformation matrices.
Essential operations such as scalar and vector products are revisited and applied to physical quantities including velocity, acceleration, and angular velocity.
The primary goal of this chapter is to prepare students with the mathematical language and tools required for advanced formulations of classical mechanics, including Newtonian, Lagrangian, and Hamiltonian mechanics.
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Textbook

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems

Jerry B. Marion, Stephen T. Thornton

Course Prepared By

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Open Physics Letters Ekibi

Instructor