Lectures related to Complex Numbers: Imaginary Part

Complex Numbers: Properties and Operations

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

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

Complex Hyperbolic and Trigonometric Functions

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

Absolute Value and Complex Numbers

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

Examples: Complex Numbers

Covers examples related to complex numbers and their properties.

Complex Numbers: Trigonometric Formulas

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

Complex Numbers: Representations and Rotations

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

Euler's Formula Demonstration

Covers the demonstration of Euler's formula and its applications.

Complex Numbers: Polar Form, Powers, Roots

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Complex Numbers: Definitions and Properties

Covers the definitions and properties of complex numbers, including conjugate and modulus.

Complex Logarithm: Extension and Polar Form

Covers the extension of the logarithm to complex numbers and explores the relationship with trigonometric functions.

Harmonic Oscillator: Complex Numbers and Solutions

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

Complex Numbers: Polar Form

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Complex Numbers: Cartesian Representation

Covers the Cartesian representation of complex numbers and basic operations involving them.

Complex Numbers: Introduction and Operations

Covers the introduction and operations of complex numbers in physics and engineering applications.

Complex Numbers: Convergence, Equations, and Exponential Functions

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

Python Crash Course

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Complex Numbers: Representation and Properties

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Complex exponentials: Oscillations and advantages

Explores the use of complex exponentials to simplify trigonometry and algebra in digital systems.