Lectures related to Notation in Multivariable Calculus

Covers the integration of limit expansions and continuous functions by pieces.

Explores mathematical tools for differentials of functions of multiple variables and their practical applications in thermodynamics and real-life scenarios.

Laplacian in Polar and Spherical Coordinates: Derivatives

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

General Integrals: Notation and Equations

Covers the general concept of integrals, focusing on notation and equations.

Two-loop Computations: External Legs and Internal Propagators

Covers the computation of two-loop diagrams with external legs and internal propagators.

Analytical Geometry: Normal Equations of Lines

Explores normal equations of lines in the plane through point translation for precision.

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.

Dynamics of Solid Bodies

Explores the dynamics of solid bodies, covering speed, acceleration, and rotation principles.