Lectures related to Advanced Physics I: Orders of Magnitude

Covers one-dimensional and two-dimensional motion, dynamics, and energy with a focus on mathematical modeling and rigorous approach.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores Newton's laws of motion, covering inertia, force, acceleration, action, reaction, frames of reference, and measurement of force.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores material and energy balances in chemical engineering for process optimization and design.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.