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Explores the Cauchy Theorem and its applications in complex analysis.
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Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.
Taylor Series: Development and Applications
Covers the study of local functions, behavior analysis, and Taylor series development.
Holomorphic Functions: Taylor Series Expansion
Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.
Taylor Expansion: Derivation and Application
Covers the derivation of a function near a critical point.
Taylor Development: Higher Derivatives
Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.
Taylor Polynomials: Order 2
Covers the development of Taylor polynomials of order 2, including examples and calculations.
Complex Analysis: Simply Connected Domains
Explores simply connected domains in complex analysis, including holomorphic functions, Cauchy's integral formula, and Taylor series.
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Explores Taylor approximation for function approximation and error control.

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