Algebraic Expressions

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Related lectures (52)

Complex Polynomials and Factorization

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

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.

Polynomials, Division, and Ideals

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Complex Roots: Conjugate Pairs and Quadratic Equations

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

Integration: Simple Elements MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

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

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Limits in Function Analysis

Introduces the concept of limits in function analysis and demonstrates their application through various examples.

Polynomials: Definition and Operations

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Polynomials: Roots and Factorization

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

Complex Numbers: Operations and Applications

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

Algebraic Functions: Two Gendarmes MOOC: Analysis I MOOC: Analysis I (part 4) : Limit of a function, continuous functions

Explores algebraic functions, limits, and behavior as x approaches infinity.

Preparation: Polynomial Integration MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

Covers the preparation for polynomial integration with examples and emphasis on polynomial division.

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.

Complex Plane and Polynomials

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

Polynomials and Endomorphisms

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

Division Euclidienne: Exemples

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Mathematics: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics of mathematics and its applications in architecture.

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.

Integration on H_pxH and Arithmetic Log in to Mediaspace to watch this video

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.

Polynomials: Definitions and Operations Log in to Mediaspace to watch this video

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

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