Lectures related to Surface Integrals: Change of Variables

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Explores divergence theory, surface integrals, and volume computation using spherical coordinates and parametrizations.

Explores mathematical tools for differentials of functions of multiple variables and integrals, including conservative quantities and exact total differentials.

Partial Derivatives and Functions

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Mechanics: Introduction and Calculus

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