Taylor Series: Analytical Functions

Related lectures (29)

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Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Covers the Taylor series of order 4 and its applications in trigonometric functions.

Discusses holomorphic functions, focusing on the Cauchy-Riemann equations and their applications in complex analysis.

Covers the Taylor development theorem, convexity, and computation rules with Taylor.

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

Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.

Explores integration by parts technique through examples involving trigonometric functions and exponentials.

Explores finding the equation of the tangent line to a function's graph at a point.