Derivation and Integration Rules in Analyse 2

Related lectures (28)

Page 2 of 3

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Explores Taylor polynomials, remainders, and various function expansions around a point.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

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

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

Covers the concept of functions being n+1 times differentiable and the Taylor formula.

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

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

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.

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