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Lecture
Polynomial Equations: Determining Coefficients
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Related lectures (48)
Polynomial Roots: Finding Solutions and Division
Explains how to find solutions for polynomial equations and perform polynomial division.
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
Tests of Invariance in Polynomial Equations
Explores testing invariance in polynomial equations, emphasizing solution identification and variable changes.
Taylor Polynomial: Order 2
Presents the solution to finding the second-order Taylor polynomial of a function.
Complex Polynomials and Factorization
Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.
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.
Equations: Degree and Solutions
Explores polynomial equations, their degree, solutions, and domain definition.
Developing Cosine Composition
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.
Polynomial Equations
Covers the topic of polynomial equations and methods to solve them.
Implicit Functions and Taylor Polynomials
Covers implicit functions, Taylor polynomials, and tangent equations.
Taylor Polynomial: Order 2
Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.
Factorisation: The Fundamental Theorem of Algebra
Covers the Fundamental Theorem of Algebra, polynomial division, and complete factorization of complex polynomials.
Differentiable Functions and Lagrange Multipliers
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Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Intersection Numbers: Algebraic Counting Solutions
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Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.
Mathematics: Basics and Applications
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Covers the basics of mathematics and its applications in architecture.
Complex Numbers: Definitions and Applications
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Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.
Galois Theory: Solvability and Radical Extensions
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Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.
Complex Numbers: Equations and Constructibility
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Explores polynomial equations in complex numbers, constructibility conditions, roots of unity, and Fermat primes.
Gaussian Lemma III: Irreducibility and Primitive Polynomials
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Explains irreducibility in polynomial equations and the properties of primitive polynomials.
Local Zeta Functions
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Covers the classification of comport p-adic fields using integration and Igusa's local zeta functions.
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