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Lecture
Sets and Functions
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Related lectures (52)
Relations in Computer Science
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Relations: Reflexive, Symmetric, Antisymmetric, Transitive
Explains binary relations on a set and their properties with illustrative examples.
Relations: Definitions and Properties
Explains binary relations, reflexive, symmetric, antisymmetric, and transitive relations on a set.
Relations: Sets, Functions and Composition
Covers binary relations, functions, set operations, composition, and n-ary relations.
Relations: Sets, Functions and Composition
Covers binary relations, functions, composition, and n-ary relations with examples.
Relations and Sequences
Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.
Equivalence Relations: Relations, Sequences and Summations
Explores equivalence relations, functions, subsets, and De Morgan's laws.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Real Functions: Definitions and Properties
Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.
Relational Databases: Fundamentals and ACID Properties
MOOC: Geographical Information Systems 1
Covers relational databases, transactions, and data consistency in the context of historical database typologies.
Graph and Diagonal
Discusses the graph of a relation and the concept of separation.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Binary Relations and Cartesian Products
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Explores binary relations, Cartesian products, and applications between sets, emphasizing their properties and significance.
Logical Expressions and Equivalence Relations
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Covers logical expressions, sets, elements, and equivalence relations.
Functions and Periodicity
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Covers functions, including even and odd functions, periodicity, and function operations.
Real Functions: Definitions and Properties
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Explores real functions, covering parity, periodicity, and polynomial functions.
Functions and Integers
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Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Mathematical Analysis: Functions and Composition
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Covers the analysis of functions, composition, and mathematical induction.
Cartesian Product and Equivalence Classes
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Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.
Differential Equations: Mathematical Complements
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Covers the definition of differential equations and their relation to functions and derivatives.
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