Foundations of Classical Mechanics

Classical Mechanics is the cornerstone of physics, providing the essential framework for understanding how objects move under the influence of forces. A strong foundation in this subject is crucial for success in all areas of physical science. By the end of this course, you will move beyond basic kinematics to apply powerful analytical methods—specifically the Lagrangian and Hamiltonian approaches—to solve complex problems involving conservation laws and coupled systems. What you'll learn: * Understand the core concepts of Newtonian mechanics, including momentum, energy, and angular momentum. * Configure generalized coordinates and constraints to simplify the analysis of mechanical systems. * Apply the calculus of variations to derive and utilize the Lagrangian equations of motion. * Analyze conservation laws and symmetries using the principles of analytical dynamics. * Formulate physical problems using the Hamiltonian approach and canonical transformations. * Practice solving advanced problems involving oscillations, central forces, and rigid body dynamics. The course begins with a rigorous review of Newtonian principles and quickly transitions to the powerful methods of analytical dynamics. You will progress through theoretical explanations and guided written exercises designed to solidify your understanding of abstract concepts. This course is designed for absolute beginners in advanced physics, including students and self-learners, who have basic knowledge of calculus and linear algebra. No prior experience with Lagrangian or Hamiltonian mechanics is required. Start building your essential foundation in theoretical physics today.