Polynomials: Definitions and Operations

Related lectures (30)

Page 3 of 3

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers the properties of complex numbers, including finding roots and factorizing polynomials.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Discusses methods for solving first-order linear differential equations, focusing on separation of variables and the integrating factor method.

Explores polynomial equations in complex numbers, constructibility conditions, roots of unity, and Fermat primes.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

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

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.