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Lecture
Introduction to Complex Numbers
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Related lectures (43)
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.
Euler and Moivre Formulas: Complex Numbers Analysis
Covers the Euler and Moivre formulas for complex numbers analysis.
Complex Numbers: Definitions and Operations
Covers the introduction and operations of complex numbers, including powers and roots.
Complex Numbers: Polar Form
Explores complex numbers in polar form, Euler's formula, and coordinate transformation.
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 Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Complex Numbers: Roots and Equations
Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.
Complex Exponential: Properties and Formulas
Delves into complex exponential functions, their properties, and polar representation of complex numbers.
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: Operations and Representations
Covers the operations and representations of complex numbers, including the Cartesian and polar forms.
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
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: Properties and Applications
Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.
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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Explains the polar form of complex numbers and Euler's formula in the complex plane.
Complex Numbers: Polar Form
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Covers the polar form of complex numbers and its applications in mathematical calculations.
Sequences: Definitions and Examples
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Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.
Riemann Sums and Definite Integrals
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Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.
Inverse Element for Multiplication
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Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.
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