Lectures related to Taylor Expansion: Derivation and Application

Holomorphic Functions: Taylor Series Expansion

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

Functions Extension and Taylor Expansion

Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.

Taylor Series: Convergence and Applications

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Functions: Differentials, Taylor Expansions, Integrals

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

Integration of CnR Class Functions

Explains the integration of Taylor series for CnR class functions.

Taylor Series: Derivatives and Integrals

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

Solving the Quintic: Dominant Balance Analysis

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Transforms of the Place

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Approximation of Functions by Taylor Polynomials

Explores the theory and application of Taylor polynomials for function approximation and limit calculations.

Laurent Series and Convergence: Complex Analysis Fundamentals

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

Taylor's Theorem: Advanced Analysis I

Explores Taylor's theorem for functions on open intervals, focusing on nth derivatives.

Riemann Sums and Definite Integrals

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Application of Taylor's approximation formula

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Taylor's approximation: Analysis & Applications

Covers Taylor's approximation theorem, differentiability, error control, and function expansions.

Taylor Development: Convexity

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

Developing Limited Functions

Covers the concept of developing limited functions and includes physical examples.

Power series and Taylor series

Covers power series, Taylor series, and their applications in functions like logarithmic functions.

Power Series and Taylor Series

Explores power series, Taylor series, convergence criteria, and applications in mathematics.

Taylor Expansions: First Order

Explores Taylor expansions of first order in optimization on manifolds.

Wireless Receivers: Parameter Estimation

Covers the challenges and techniques of parameter estimation in wireless receivers.