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Related lectures (29)

Roots of Real Numbers

Explores the properties and applications of roots of real numbers through practical examples.

Powers and Roots: Understanding Irrational Equations

Delves into powers and roots, emphasizing irrational equations and the disjunction of cases.

Square Roots and Irrationality

Explores even squares, irrationality of √2, gaps in rational numbers, and minorants in Q.

Quadratic Equation: Programming Solutions

Covers the programming of a script to calculate the solutions of quadratic equations.

Complex Roots: Conjugate Pairs and Quadratic Equations

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

Complex Numbers: Exponential Formulas

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Powers and Roots: Definitions and Properties

Explains the definitions and properties of powers and roots in algebra.

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.

Complex Eigenvalues Appendix MOOC: Linear Algebra (Part 2)

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Polynomials with Real Coefficients

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

Homogeneous Linear Second-Order Differential Equations

Covers the solution of homogeneous linear second-order differential equations with constant coefficients and explores various cases of real and complex roots.

Complex Exponential: De Moivre's Formula

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

Proofs: Contraposition vs. Contradiction

Covers the concepts of contraposition and contradiction in proofs.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Inequalities and Square Roots

Covers the topic of inequalities involving square roots and provides examples and solutions.

Equations and Inequalities on the Reals

Covers algebraic identities, linear equations, and rational inequations on the real numbers.

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.

Geometry: Euclidean Elements & Vitruvius Log in to Mediaspace to watch this video

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

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

Covers the basics of mathematics and its applications in architecture.

Solving the Quintic: Dominant Balance Analysis Log in to Mediaspace to watch this video

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.