Complex Numbers: Roots and Polynomials

Related lectures (28)

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Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Covers the Fundamental Theorem of Algebra, complex sequences, convergence, and continuity of functions.

Covers the polar form of complex numbers and its applications in mathematical calculations.

Covers the integration of simple elements using various techniques to solve integration problems.

Covers the complex plane, operations, transformations, and complex polynomials.

Explores complex polynomial factorization examples, demonstrating the process and implications of complex roots in real polynomials.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.