Lectures related to Integral: Primitive Notion

Continuity and Differentiability of Functions

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Calculus: Derivatives and Integrals

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Partial Derivatives: Part 1

Explores partial derivatives, continuity of functions, mean value theorem, and uniform continuity.

Taylor Polynomials: Approximation and Integration

Covers Taylor polynomials for approximation and indefinite integrals of elementary functions.

Demonstration of Theorem

Covers the demonstration of a theorem using mathematical expressions and hypotheses.

Integrals of Functions

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Laplacian in Polar and Spherical Coordinates: Derivatives

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

Fundamental Theorem Statement

Explains the fundamental theorem of integral calculus and its implications for continuous functions on closed intervals.