Complex Plane: Introduction and Operations

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Complex Numbers: Applications and Representations

Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.

Complex Numbers: Polar Form

Covers the polar form of complex numbers and its applications in mathematical calculations.

Complex Numbers: Definitions and Operations

Covers the introduction and operations of complex numbers, including powers and roots.

Solving Z² = W with Cartesian Method

Explores solving Z² = W in the complex plane using the Cartesian method.

Complex Numbers: Polar Representation

Explores the polar representation of complex numbers and its applications.

Complex Numbers: Exponential Formulas

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Complex Numbers and 2x2 Matrices

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Absolute Value and Complex Numbers

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

Analytical Extension of Gamma Function

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

Complex Numbers: Operations and Representations

Covers the operations and representations of complex numbers, including the Cartesian and polar forms.