Lectures related to Calculating with Taylor, Convexity

Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.

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

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

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

Covers Fourier series, periodic functions, and Fourier transforms.

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

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

Covers Taylor polynomials and their role in approximating functions in multiple variables.

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

Covers the definition and examples of limits at a point in calculus.

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

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

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

Covers the concept of limits and continuity in real analysis.

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Covers linear approximations up to order 2 and the Hessian matrix.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Covers the concept of distance to the origin and functions in constrained domains.