Lectures related to Vector calculus

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Explores vector geometry basics, historical perspectives, and practical applications.

Explains the concept of scalar product, its properties, and geometric interpretation.

Explores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.

Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Covers a review of vector calculus and the Maxwell equations in electromagnetism.

Covers local invertibility of vector fields and the Inverse Function Theorem.

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.