Differential (mathematics)

Related lectures (32)

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Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.

Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explains how a function reaches its maximum and minimum values.

Covers the definition of differentiable functions and introduces the concept of differential functions.

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Explores the consequences of exact differential forms and necessary conditions for total exact differentials, using examples from mountain hiking.

Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.

Explores tension, friction, and acceleration in systems of blocks and ropes.