Lectures related to Differential calculus

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

Explores statics, focusing on equilibrium conditions, force torques, and virtual work principles.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Introduces derivatives, tangent lines, rules of differentiation, and practical examples.

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

Explores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.