Lectures related to Linear Algebra: Sets and Subsets

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

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

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

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

Covers the properties and sets related to linear algebra, emphasizing the importance of understanding these concepts.

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

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the construction of R and equivalence relations in sequences and linear recurrences.

Explores bijections in linear algebra and the concept of cardinality between sets.

Explores reciprocity, equivalence, and proof techniques in linear algebra, emphasizing logical reasoning and mathematical rigor.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

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

Covers powers, roots, calculation rules, logarithmic functions, reciprocal functions, sets, and basic notations.

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

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.