Lectures related to Operations on Sets: Parts, Intersection, and Difference

Linear Algebra: Applications and Definitions

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

Functions: properties and convergence criteria

Explores convergence criteria, function properties, and unique element association.

Cartesian Products and Equivalence Relations

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.

Equivalence Relations and Functions

Covers equivalence relations, functions, injectivity, surjectivity, and bijectivity with illustrative examples.

Functions: Injections and Surjections

Explains injections, surjections, and bijections in functions with illustrative examples.

Sets and Functions

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

Sets and Proofs

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