Here is the chapter list so far:
Lecture 1: Dynamical systems.
Interlude 1: Calculus.
Interlude 2: Newtonian mechanics.
Lecture 2: Conservation laws, the principle of least action, and the Lagrangian.
Interlude 3: Vectors and vector spaces.
Lecture 3: Conservation laws imply symmetry.
Interlude 4: Symmetry.
Lecture 4: Time translation symmetry, the conservation of energy, and the Hamiltonian.
Interlude 5: Transformations and matrices.
Lecture 5: Pendulums and springs.
Interlude 6: Complex numbers and ordinary differential equations.
Lecture 6: The Hamiltonian method of mechanics.
Interlude 7: Vector analysis.
I am now working on Lecture 7: Liouville's Theorem and Information Conservation
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