Lectures related to Derivatives and Differential Equations

Explores the derivative of a product of functions and discusses algebraic products and scalar products of functions.

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explores solutions of differential equations and their monotonicity properties.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.