Lectures related to Advanced Physics I: Orders of Magnitude

Introduces the fundamentals of advanced physics, emphasizing mechanics and historical developments from Aristotle to Newton.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers the kinematics of a material point, including orders of magnitude and practical applications.

Explores Newton's laws of motion, fundamental forces in nature, and the unification of interactions.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores angular momentum, central forces, and gravitational theory, including Kepler's laws and Newton's approach.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.