Sets, Functions and Relations: Summary of Week 4

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

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

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

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

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

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

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

Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Covers the basics of functions, including domain, codomain, image, and range, as well as injections, surjections, and bijections.