Lectures related to Elementary algebra

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

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

Covers solutions to mathematical equations involving limits, square roots, and algebraic expressions.

Covers algebraic expressions, operations, factorization, and equation solving.

Covers digital signal processing, binary and Boolean logic, and practical examples of digital circuits.

Introduces complex numbers, their representations, formulas, and algebraic equations.

Explains the Bioche rule for solving trigonometric equations using substitutions and tests of invariance.

Covers the introduction and operations of complex numbers, including powers and roots.

Explores invariance in algebraic equations and demonstrates solving trigonometric functions.

Covers the basics of mathematics and its applications in architecture.

Explores absolute values in equations and inequalities, focusing on solving |f(x)| = g(x).

Covers circle orthogonal and Poincaré disk concepts in geometry.

Covers stoichiometry, reaction enthalpy, bond dissociation, and progress variables in chemical reactions.

Explores the calculation of return rates and the importance of value increase in real estate economics.

Discusses reciprocal functions and their graphs, including x² and √x, e^x and ln(x), and tangent and arc tangent.

Explores diagonalization in 3D linear algebra, covering conditions for diagonalizability and eigenvectors.

Covers limits, continuity, and the intermediate value theorem in functions.

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

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