Lectures related to Introduction: Lightboard 0-1

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

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

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

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

Explores gradient, divergence, and integral theorems in vector calculus.

Covers the concept of Green function and Laplacian formulas in mathematics.

Explores surface integrals, change of variables, and properties of regular surfaces.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers problems with parallelograms and double integrals over different regions.

Covers electrostatics, Coulomb force, and image charge method in electromagnetism.