Lectures related to Complex Plane: Introduction and Operations

Covers convergence of power series, complex equations, exponential functions, and function properties.

Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Covers the Euler and Moivre formulas for complex numbers analysis.

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Explores equations and properties of lines in the complex plane.

Explores magnetic fields from moving charges and the properties of complex numbers.

Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.

Covers the fundamental operations and applications of complex numbers.