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Lecture
Taylor Approximation: Matrix and Polynomials
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Interpolation: Problem Statement
Introduces the problem of interpolation and demonstrates challenges with adding more points.
Convexity Study and Limiting Developments
Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.
Approximation of Functions by Taylor Polynomials
Explores the theory and application of Taylor polynomials for function approximation and limit calculations.
Polynomials with Real Coefficients
Explores polynomials with real coefficients, complex roots, and sequences' properties.
Polynomials: Irreducibility and Vieta's Relations
Explores polynomial irreducibility and Vieta's relations in depth.
Bezier Curves: Control Points and Regularity
Explores Bezier curves, emphasizing control points and curve regularity.
Polynomials: Theory and Applications
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Analyse 2: Division euclidienne
Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Complex Polynomials and Factorization
Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.
General case of degree two polynomials
Explores Viète's formula for finding roots of degree two polynomials and their significance.