Lectures related to Roots of n-th Degree

Complex Numbers: Operations and Applications

Explores complex number properties, roots, and polynomial equations in the complex plane.

Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Polynomial Roots: Finding Solutions and Division

Explains how to find solutions for polynomial equations and perform polynomial division.

Tests of Invariance in Polynomial Equations

Explores testing invariance in polynomial equations, emphasizing solution identification and variable changes.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Complex Polynomials and Factorization

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Polynomial Equations: Solving Methods

Covers various methods for solving polynomial equations through examples.

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.

Complex Numbers: Roots and Polynomials

Covers the properties of complex numbers, including finding roots and factorizing polynomials.

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.

Polynomial Equations: Solutions and Elimination

Covers the solutions of polynomial equations and the concept of logarithms.

Complex Numbers: Representations

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Factorisation: Real Coefficients Examples

Covers the factorization of polynomials with real coefficients in the complex domain, demonstrating how to find complex roots and obtain irreducible factors.

Geometry and Complex Numbers: Circles in the Complex Plane

Explores equations and properties of circles in the complex plane.

Ideals: Polynomials and Definitions

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Complex Numbers: Introduction and Properties Log in to Mediaspace to watch this video

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

Sequences: Definitions and Examples Log in to Mediaspace to watch this video

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Complex Roots and Polynomials Log in to Mediaspace to watch this video

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Complex Numbers: Operations and Applications Log in to Mediaspace to watch this video

Covers the properties and operations of complex numbers and their applications.