Elliptic Curves: Singular Points and Group Law

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Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.

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Explains partial derivatives, Hessienne matrix, and their properties.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores differentiability in functions and the role of gradients in directional derivatives.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Covers partial derivatives, gradient, and second partial derivatives with their applications.