Lectures related to Genus–differentia definition

Introduces absolute value, intervals, triangle inequality, and complete numbers in the complex plane.

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Introduces Principal Component Analysis, focusing on maximizing variance in linear combinations to summarize data effectively.

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Explores heterogeneous catalysis, reaction kinetics, and transport effects in catalytic reactions.

Explains the Bolzano-Weierstrass Theorem, stating that every bounded sequence has a convergent subsequence.

Covers the analysis of scalar fields, including divergence, gradient, and Laplacian.

Covers the concept of singular values in linear algebra and their properties, including diagonalization and practical examples.

Introduces the fundamentals of advanced physics, emphasizing mechanics and historical developments from Aristotle to Newton.

Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.

Explains the concept of limit superior and limit inferior for bounded sequences.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers material and energy balances in chemical engineering, enthalpy of reaction, and classification of reactions, with practical examples.