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Lecture
Sets: Operations and Relations
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Related lectures (24)
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Sets, Functions and Relations: Set Identities
Covers set identities and different approaches to prove them, including set builder notation and membership tables.
Course Overview: Teaser on Course Contents
Offers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.
Relations in Computer Science
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.
Mathematical Induction: Basics and Applications
Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Cardinality and Group Theory
Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.
Linear Algebra: Operations and Sets
Covers operations on sets and Venn diagrams for set operations.
Linear Algebra: Cardinality and Mapping
Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.
Intersection: Set Operations
Introduces set intersection, its properties, and its relation to arithmetic operations.
