Advanced Analysis I: Taylor with Integral Remainder

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

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.