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Lecture
Complex Numbers: Properties and Operations
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Related lectures (40)
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.
Complex Numbers: Polar Form
Explores complex numbers in polar form, Euler's formula, and coordinate transformation.
Complex Numbers: Operations and Representations
Covers the operations and representations of complex numbers, including the Cartesian and polar forms.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Complex Exponential: Properties and Formulas
Delves into complex exponential functions, their properties, and polar representation of complex numbers.
Euler's Formula Demonstration
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Covers the demonstration of Euler's formula 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.
Complex Numbers: Properties and Applications
Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.
Complex Numbers: Introduction and Operations
Covers the introduction and operations of complex numbers in physics and engineering applications.
Examples: Complex Numbers
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers examples related to complex numbers and their properties.
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: Representations and Rotations
Explores the representation and rotation of complex numbers in the complex plane.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Element Inverse for Multiplication
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the concept of element inverse for multiplication in complex numbers.
Complex Numbers: Roots and Equations
Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.
Differential Equations: Coefficients and Methods
Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.
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: Polar Form
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Covers the polar form of complex numbers and its applications in mathematical calculations.
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.
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