Lectures related to Linear approximation

Covers derivability, tangents, Rolle's theorem, and linear approximation of functions.

Advanced Analysis I - Taylor's Formula Corollary

Explores the corollary of Taylor's formula for function approximation around a point.

Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.

Taylor Approximation: Extrema in Multivariable Functions

Covers Taylor approximation and extrema in multivariable functions with examples.

Taylor Series: Expansion and Properties

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Tangent Lines and Approximation

Covers the concept of tangent lines and function approximation near a point.

Differential Calculus: Differentials, Linear Approximations, Parametric Functions

Covers differentials, linear approximations, and parametric function derivatives with examples and applications.

Taylor Polynomials and Approximations

Explores Taylor polynomials and approximations for various functions, emphasizing derivative equality and polynomial development around a specific point.

Taylor Approximation: Understanding the Basics

Explores Taylor approximation for function approximation and error control.

Taylor Series: Derivatives and Approximations

Explores Taylor series, derivatives, and approximations in mathematical analysis.

Derivative: Linear Approximation

Explains differentiation and linear approximation for function approximation near a point.

Taylor Polynomials: Examples and Convergence

Covers examples of Taylor polynomials and discusses their convergence when approximating functions.

Developing Limited Functions

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

Taylor Polynomials: Approximation and Integration

Covers Taylor polynomials for approximation and indefinite integrals of elementary functions.

Taylor's approximation: Analysis & Applications

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

Taylor Approximation: Matrix and Polynomials

Explores Taylor approximation of functions using polynomials and matrices for quadratic approximation.

Taylor Polynomials: Correction Term

Explores the correction term in Taylor polynomials, showcasing its role in refining function approximations.

Approximation Techniques in Multivariable Functions

Explores Taylor polynomials for multivariable functions and their applications in function approximation.

Supporting hyperplanes

Covers supporting hyperplanes for approximating functions' graphs in different dimensions using hyperplanes and linear approximations.

Taylor Polynomials: Definition and Approximation

Covers Taylor polynomials for function approximation and their properties, with examples.