Lectures related to Linear Algebra: CMS

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Covers the basic concepts of sets, functions, and number systems.

Explores solutions of differential equations and properties of functions.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.

Covers the basics of tuples, lists, sets, linear types, conversions, dictionaries, and defaultdicts.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

Explores the relationships between functions and sets, focusing on composite functions properties.

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Explores convexity, Jacobians, subdifferentials, and convergence rates in optimization and function analysis.

Covers advanced Python programming concepts, including data structures and functions.