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Lecture
Division Euclidienne: Exemples
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Factorisation: Real Coefficients Examples
Covers the factorization of polynomials with real coefficients in the complex domain, demonstrating how to find complex roots and obtain irreducible factors.
Complex Numbers: Roots and Polynomials
Covers the properties of complex numbers, including finding roots and factorizing polynomials.
Integration: Rational Functions
Covers integration techniques for rational functions, including decomposition and factorization.
Preparation: Polynomial Integration
Covers the preparation for polynomial integration with examples and emphasis on polynomial division.
Integration: Simple Elements
Covers the integration of simple elements using various techniques to solve integration problems.
The Fundamental Theorem of Algebra
Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.
Linear Algebra: Abstract Concepts
Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.
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Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Factorisation: Polynomials and Theorem
Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.