Applications of Theorems

Related lectures (23)

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Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

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

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

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

Covers the statement of the Bernoulli's Hospital Rule and its application.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.

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

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.