Advanced Analysis II: Generalisations and Gradients

Related lectures (27)

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Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Covers integrability, anti-derivatives, and integration by parts in calculus.

Covers the derivative of an integral dependent on a parameter and its fundamental properties.

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

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

Covers the properties of functions xr, r>0, on 10,1, including limits and integrals.

Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.

Explores Taylor series for function approximation and properties of definite integrals, including linearity and symmetry.