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Lecture
Element Inverse for Multiplication
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Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Inverse Element for Multiplication
Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Complex Numbers and 2x2 Matrices
Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Definition of Complex Numbers Field
Introduces complex numbers and defines their field, emphasizing properties and operations.
Complex Numbers: Operations and Properties
Explores complex numbers, including modulus, conjugation, and Euler formula.
Elementary Properties of Complex Numbers
Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.
Complex Numbers: Operations and Applications
Covers the properties and operations of complex numbers and their applications.
Complex Numbers: Cartesian Representation
Covers the Cartesian representation of complex numbers and basic operations involving them.
Complex Numbers: Polar Form and Multiplication
Covers the polar form of complex numbers and its advantages in multiplication.