Lectures related to Relations and Sequences

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

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

Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.

Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Explores equivalence relations, functions, subsets, and De Morgan's laws.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers homotheties, translations, and compositions of functions in geometric transformations.

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

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers the properties of functions, including symmetry, continuity, and limits.

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

Covers the analysis of functions, composition, and mathematical induction.

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Introduces binary relations, functions, and various types of relations in sets.

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Delves into functions on R^n, covering limits and partial differentiation.