Lectures related to Sets, Functions and Relations: Constructing Sets

Explains constructing sets and determining set cardinality.

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

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

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

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

Covers examples of relation composition, Cartesian product, and injective functions.

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

Introduces sets, Cartesian product, order importance, and relations on sets.

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

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

Covers subsets, power sets, and functions through an engaging quiz format.

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

Explores operations on sets, Cartesian products, and functions' properties.

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

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.

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.

Explores real functions, covering parity, periodicity, and polynomial functions.