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Lecture
Square Roots and Complex Numbers
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Related lectures (32)
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Quadratic Equation: Programming Solutions
Covers the programming of a script to calculate the solutions of quadratic equations.
Polynomials with Real Coefficients
Explores polynomials with real coefficients, complex roots, and sequences' properties.
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: Representations and Rotations
Explores the representation and rotation of complex numbers in the complex plane.
Complex Numbers: Exponential Formulas
Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.
RSA Cryptography: Primality Testing and Quadratic Residues
Explores RSA cryptography, covering primality testing, quadratic residues, and cryptographic applications.
Complex Numbers: Polar Representation
Explores the polar representation of complex numbers and its applications.
Complex Numbers: Roots and Polynomials
Covers the properties of complex numbers, including finding roots and factorizing polynomials.
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: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Prime Numbers and Primality Testing
Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.
Domain Verification in Equations
Emphasizes the importance of verifying the possible domain of a function before solving an equation.
Roots of n-th Degree
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the concept of roots of n-th degree in complex numbers and their exact solutions.
Complex Numbers: Gauss-Wantzel Theorem
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Covers the Gauss-Wantzel Theorem and Fermat prime numbers.
Complex Numbers: Group Morphisms and Fermat Primes
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Explores group morphisms in complex numbers and the concept of Fermat primes.
Complex Numbers and 2x2 Matrices
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Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Complex Numbers: Argument and Polar Method
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Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.
Complex Numbers: Equations and Constructibility
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Explores polynomial equations in complex numbers, constructibility conditions, roots of unity, and Fermat primes.
Complex Roots and Polynomials
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Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
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