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Lecture
Sets and Functions
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Related lectures (28)
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Recursively Defined Sets and Structures
Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.
Applications between Sets: Functions and Graphs
Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Introduction to Analysis
Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Functions: Injections and Surjections
Explains injections, surjections, and bijections in functions with illustrative examples.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Linear Algebra: Sets and Propositional Language
Covers sets, propositional language, reading, writing, containment, and cardinality.
Algorithms & Growth of Functions
Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.