Transforms of the Place

Related lectures (29)

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Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Presents the solution to finding the second-order Taylor polynomial of a function.

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

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

Covers the properties of integrals, including definies integrals, integrables functions, and the theorem of the average.

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

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.