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Lecture
Complex Numbers: Cartesian Representation
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Related lectures (32)
Elementary Properties of Complex Numbers
Covers the elementary properties of complex numbers and how to find real and imaginary parts.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Definition of Complex Numbers Field
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Introduces complex numbers and defines their field, emphasizing properties and operations.
Elementary Properties of Complex Numbers
Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.
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.
Gauss Representation
Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
Complex Numbers: Introduction and Properties
Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.
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 Representation
Explores the polar representation of complex numbers and its 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 Numbers: Definitions and Operations
Covers the introduction and operations of complex numbers, including powers and roots.
Complex Numbers: Definition
Covers the construction and properties of complex numbers, introducing the new constant 'i'.
Complex Numbers: Operations and Properties
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Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.
Complex Numbers: Operations and Properties
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Explores complex numbers, including modulus, conjugation, and Euler formula.
Complex Numbers and 2x2 Matrices
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Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Complex Numbers: Operations and Applications
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Covers the properties and operations of complex numbers and their applications.
Complex Numbers: Imaginary Part
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Demonstrates how to determine the imaginary part of a complex number.
Complex Numbers: Polar Form
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Covers the polar form of complex numbers and its applications in mathematical calculations.
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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