Lectures related to Finite Fields: Properties and Applications

Explores complex number properties, roots, and polynomial equations in the complex plane.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Introduces irreducible polynomials and the Gaussian lemma for polynomial factorization.

Covers the integration of simple elements using various techniques to solve integration problems.

Covers the complex plane, operations, transformations, and complex polynomials.

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