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Lecture
Sets and Proofs
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Related lectures (35)
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.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Sets and Functions
Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Sets, Functions and Relations: Q&A
Covers examples of relation composition, Cartesian product, and injective functions.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Basic Notions
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Covers the basic concepts of sets, functions, and number systems.
Relations in Computer Science
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Python Programming: Data Structures and Functions
Covers advanced Python programming concepts, including data structures and functions.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Recursively Defined Sets and Structures
Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.
Algorithms & Growth of Functions
Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.
Sets and Functions
Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.
Sets, Functions and Relations: Organisational Questions
Covers organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.
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.
Proofs and Logic: Introduction
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Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.
Introduction to Analysis
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Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Data Structures and Functions
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Covers the basics of tuples, lists, sets, linear types, conversions, dictionaries, and defaultdicts.
Mathematics: Sets and Functions
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Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.
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