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Lecture
Complex Numbers: Argument and Polar Method
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Related lectures (45)
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Complex Numbers: Polar Form
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the polar form of complex numbers, emphasizing the importance of the argument.
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.
Polynomials with Real Coefficients
Explores polynomials with real coefficients, complex roots, and sequences' properties.
Circular Trigonometry: Understanding Geometric Angles
Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
The Fundamental Theorem of Algebra
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.
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.
Complex Numbers: Representations and Rotations
Explores the representation and rotation of complex numbers in the complex plane.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
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
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Explains the polar form of complex numbers and Euler's formula in the complex plane.
Complex Roots and Polynomials
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Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Absolute Value and Complex Numbers
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Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.
Complex Numbers and 2x2 Matrices
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Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Characteristic Polynomials and Similar Matrices
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Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Complex Numbers: Operations and Properties
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Explores complex numbers, including modulus, conjugation, and Euler formula.
Sequences: Definitions and Examples
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Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.
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