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Lecture
Complex Numbers: Representations and Rotations
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Related lectures (29)
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Complex Numbers: Representations
Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Complex Numbers: Polar Representation
Explores the polar representation of complex numbers and its applications.
Complex Numbers: Exponential Formulas
Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.
Geometric Transformations in R2 and R3: Visualizations and Rotations
Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.
Complex Numbers: Polar Form, Powers, Roots
Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.
Absolute Value and Complex Numbers
Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
Complex Numbers: Polar Form
Explores complex numbers in polar form, Euler's formula, and coordinate transformation.
Complex Numbers: Imaginary Part
Demonstrates how to determine the imaginary part of a complex number.