Complex Numbers: Definitions and Properties

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Related lectures (31)

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Complex exponentials: Oscillations and advantages

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

Complex Numbers: Polar Form

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

Complex Numbers: Definitions and Properties

Covers the definitions and properties of complex numbers, including the field of complex numbers, the conjugate, the real and imaginary parts, algebraic form, modulus, and argument.

Complex Numbers: Definition

Covers the construction and properties of complex numbers, introducing the new constant 'i'.

Absolute Value and Complex Numbers

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

Complex Numbers: Properties and Operations

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

Examples: Complex Numbers

Covers examples related to complex numbers and their properties.

Complex Numbers: Imaginary Part

Demonstrates how to determine the imaginary part of a complex number.

Complex Numbers: Roots and Polynomials

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

Complex Numbers: Representations and Rotations

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