Mathematics for Data Science 1 - W1_L6: Relations - cartesian products equivalence & partitioning sets

Welcome to Week 1 Lecture 6 of the course "Mathematics for Data Science I" by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview Dive into the world of relations. This lecture builds upon our understanding of sets to explore how we can combine and filter sets using Cartesian products. Learners will see how to create pairs of elements from different sets and define relations based on specific conditions. The lecture also introduces important properties of relations such as reflexivity, symmetry, and transitivity, leading to the concept of equivalence relations. Finally, we explore how equivalence relations partition sets into meaningful equivalence classes. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #Mathematics #DataScience #MathForDataScience #Sets #Relations #CartesianProduct #SetTheory #DiscreteMath #Reflexivity #Symmetry #Transitivity #EquivalenceRelation #EquivalenceClasses #RelationsAndFunctions #SetOperations #MathLecture #IITMadrasBS #OnlineLearning #MathBasics