Lectures related to Derivation and Integration Rules in Analyse 2

Complex Numbers: Representations

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Differentiable Functions and Lagrange Multipliers

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

Taylor Polynomials: Special Cases

Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.

Taylor's Formula: Developments and Applications

Explores Taylor's formula, polynomials, functions, and series applications.

Taylor Polynomials: Examples and Convergence

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

Taylor Polynomials: Order 1

Covers the development of Taylor polynomials of order 1 and introduces related terminology and concepts.

Analyse 2: Rules of Calculation: Addition

Explores the rules of calculation for Taylor polynomials, simplifying derivative computations and showcasing properties of even and odd functions.

Differential Equations: Implicit Function Theorem

Explores the implicit function theorem and Taylor polynomials in differential equations.