Lectures related to Factorisation: Real Coefficients Examples

Covers integration techniques for rational functions, including decomposition and factorization.

Explores irreducibility criteria in rings, emphasizing linear and reducible polynomials.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Integration of Rational Functions

Covers the integration of rational functions, focusing on decomposing functions into simpler elements.

Algebraic Geometry

Covers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.

Preparation: Polynomial Integration

Covers the preparation for polynomial integration with examples and emphasis on polynomial division.

Factorisation: The Fundamental Theorem of Algebra

Covers the Fundamental Theorem of Algebra, polynomial division, and complete factorization of complex polynomials.