Lectures related to Function Approximation: Order 5

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

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

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

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

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

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

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

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

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

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

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Explores trigonometric addition theorem, double angles, and tangent properties.

Explores parametrized curves in 2D, including segments, straight lines, and circles with trigonometric functions.

Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.

Explores the limit of the quotient for sequences and the periodicity of functions.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

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

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.