Lectures related to Sets, Functions and Relations: Organisational Questions

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

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

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

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

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

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

Explores solutions of differential equations and properties of functions.

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

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

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

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

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

Covers linear algebra concepts with a focus on functions and their properties.

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

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

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

Explores fixed points in G-sets, applications between sets, and the construction of orbits.

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

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

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.