Discrete Mathematics | UNIT-1 | Detailed Oneshot | With PYQs | GGSIPU

Welcome to this Detailed one-shot lecture on Discrete Mathematics - Unit 1. Designed specifically for GGSIPU engineering students . this One shot provides a thorough breakdown of foundational concepts. We will explore theoretical principles, step-by-step methodologies, and solve Previous Year Questions (PYQs) to ensure you are fully equipped for your upcoming university examinations. 📱 Join our WhatsApp Community for free notes, PYQs, and exam updates: https://chat.whatsapp.com/CPJ30i80e1L... 📚 What You Will Learn in This Video: Set Theory: Venn Diagrams, Power Sets, and Set Operations Combinatorics: Pigeonhole Principle, Permutations & Combinations, Inclusion-Exclusion Logic: Propositional Logic, Truth Tables, Logical Equivalences, CNF & DNF, Validity of Arguments Proofs: Principle of Mathematical Induction (PMI) and Proof by Contradiction Relations: Reflexive, Symmetric, Transitive, and Equivalence Relations ⏳ Video Chapters & Timeline: 00:00 Introduction to Sets 00:50 Venn Diagrams & Set Operations 03:13 Types of Sets (Subsets & Supersets) 05:48 Equivalent vs Equal Sets 06:52 Pigeonhole Principle 11:48 Power Set 12:22 Propositional Logic 15:07 Logical Connectives & Truth Tables 21:44 Tautology & Contradiction 26:59 Logical Equivalences & Laws 31:21 Proving Tautology (Rules of Inference) 37:31 Converse, Inverse & Contrapositive 40:53 Validity of Arguments 51:22 CNF & DNF (Normal Forms) 54:36 PCNF & PDNF 57:04 Inclusion-Exclusion Principle 01:03:00 Permutations & Combinations 01:06:34 Principle of Mathematical Induction (PMI) 01:09:30 Proof by Contradiction 01:11:00 Relations 01:12:33 Types of Relations (Reflexive, Symmetric, Transitive) 01:15:37 Equivalence Relation 💡 Support the Channel: If you found this lecture helpful, please leave a Like, Share it with your classmates, and Subscribe for more complete university modules and exam prep guides. #DiscreteMathematics #GGSIPU #BTech #BCA #SetTheory #PropositionalLogic #EngineeringMathematics #DiscreteMaths #ExamPrep