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Related lectures (26)
Complex Exponential: De Moivre's Formula
Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.
Complex Numbers: Introduction and Operations
Covers the introduction and operations of complex numbers in physics and engineering applications.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Harmonic Oscillator: Complex Numbers and Solutions
Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
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.
Mechanics: Oscillator Harmonics
Explores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.
Series and Complex Numbers
Covers series, course feedback, platform suggestions, and complex number properties.
Elementary Properties of Complex Numbers
Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.
Euler and Moivre Formulas
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers Euler and Moivre formulas, addition formulas, properties of exponentials, and generalizing sine and cosine definitions to complex numbers.
Complex Numbers: Polar Representation
Explores the polar representation of complex numbers and its applications.
Complex Numbers: Polar Form
Explores complex numbers in polar form, Euler's formula, and coordinate transformation.
Continuity: Examples and Definitions
Covers the concept of continuity, providing examples and definitions of continuous functions.
Complex Numbers: Polar Form
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Explains the polar form of complex numbers and Euler's formula in the complex plane.
Absolute Value and Complex Numbers
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Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.
Complex Numbers: Operations and Properties
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Explores complex numbers, including modulus, conjugation, and Euler formula.
Complex Numbers: Representation and Properties
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Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.
Complex Numbers: Definitions and Applications
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Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.
Complex Numbers: Polar Form
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Covers the polar form of complex numbers and its applications in mathematical calculations.
Complex Numbers: Polar Form, Powers, Roots
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Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.
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