Gaussian and Polar Representations

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Related lectures (31)

Page 3 of 4

Coordinate Change: Chapter 4

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Coordinate Change: Polar and Spherical Coordinates

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Translations and Homotheties

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Representations of Gauss and Polar

Covers the representations of Gauss and Polar, including complex numbers, vectors, and matrices.

Complex Numbers: Operations and Representations

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

Magnetic Fields and Complex Numbers

Explores magnetic fields from moving charges and the properties of complex numbers.

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: Argument and Polar Method

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

Complex Numbers: Representations and Rotations

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

Complex Numbers: Polar Form

Showcases examples of complex numbers in polar form and their operations.