Lectures related to Complex Numbers: Definitions and Applications

Complex Numbers: Operations and Applications

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

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

Absolute Value and Complex Numbers

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

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Complex Numbers: Introduction and Properties

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

Sequences: Definitions and Examples

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Series and Complex Numbers

Covers series, course feedback, platform suggestions, and complex number properties.

Complex Numbers: Operations, Polar Form, and Solutions

Covers operations on complex numbers, polar coordinates, and polynomial solutions.

Complex Numbers: Exponential Formulas

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

Roots of n-th Degree

Covers the concept of roots of n-th degree in complex numbers and their exact solutions.

Complex Numbers: Representations and Rotations

Explores the representation and rotation of complex numbers in the complex plane.

Complex Roots and Polynomials

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Complex Numbers: Representations

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Modules and Namespaces

Explores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.

Complex Numbers: Roots and Polynomials

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

Complex Numbers: Roots and Equations

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

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Complex Numbers: Trigonometric Formulas

Explores complex numbers, trigonometric functions, De Moivre's formulas, and complex plane representation.