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Lecture
Sets, Functions and Relations: Summary of Week 4
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Related lectures (30)
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Operations on Sets: Parts, Intersection, and Difference
Explores operations on sets, Cartesian products, and functions' properties.
Cartesian Products and Equivalence Relations
Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.
Sets and Proofs
Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.
Functions: Basic Concepts
Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.
Application Reciproque and Composition of Applications
Explores the relationships between functions and sets, focusing on composite functions properties.
Linear Algebra: Injective Functions
Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.
Linear Algebra: CMS
Covers linear algebra concepts with a focus on functions and their properties.
Differential Equations: Solutions and Functions
Explores solutions of differential equations and properties of functions.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Sets, Functions and Relations: Organisational Questions
Covers organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.