Lectures related to Approximating Functions with Taylor Series

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

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

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

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

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers the concept of functional derivatives and their calculation process with examples.

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Introduces mathematical notations and functions essential for general physics.

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

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

Explores derivatives, functions, limits, and tangent lines in calculus.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.

Explores real functions, covering parity, periodicity, and polynomial functions.