Absolute Value and Complex Numbers

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Related lectures (30)

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Complex Analysis: Functions and Their Properties

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Complex Integration: Fourier Transform Techniques

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Complex Numbers: Imaginary Part

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

Complex Numbers: Polar Form

Covers the polar form of complex numbers, emphasizing the importance of the argument.

Conformity and Compliancy in Geometry

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

Complex Numbers: Argument and Polar Method

Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.

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.

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 and Multiplication

Covers the polar form of complex numbers and its advantages in multiplication.