Definitions and Notations

Related lectures (28)

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

Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.

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

Explains injective, surjective, and bijective functions using examples and graphs.

Explains surjective, injective, and bijective functions, along with limits of functions.

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

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

Covers injectivity, surjectivity, and bijectivity in mathematical functions, explaining unique mappings and pre-image existence.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

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