Starting a new Lecture Notes Series on Discrete Mathematics
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Discrete Mathematics By Lecture Notes together!
Lecture 76: Inclusion vs. Membership
Lecture 77: Inclusion vs. Membership (Solved Problem)
Lecture 78: Types of Sets - Universal, Null, and Singleton
Lecture 79: Null Set (Solved Problem)
Lecture 80: Non-Empty Set (Important Theorem)
Lecture 81: Power Set
Lecture 82: Power Set (Solved Problems)
Lecture 83: Power Set (GATE Problem 1)
Lecture 84: Power Set (GATE Problem 2)
Lecture 85: Cardinality of Sets
Lecture 86: Cartesian Product
Lecture 87: Cartesian Product (Solved Problems)
Lecture 89: Set Difference and Set Complement
Lecture 90: Set Operations (Solved Problems)
Lecture 91: Set Identities (Part 1)
Lecture 92: Set Identities (Part 2)
Lecture 93: Set Identities (Part 3)
Lecture 94: Set Operations (Solved Problem 1)
Lecture 95: Set Operations (Solved Problem 2)
Lecture 96: Symmetric Difference
Lecture 97: Set Operations (GATE Problems)
Lecture 98: Set Operations (GATE and TIFR Problem)
Lecture 99: Introduction to Relations
Lecture 100: Types of Relations (Part 1)
Lecture 101: Types of Relations (Part 2)
Lecture 102: Types of Relations (Solved Problem)
Lecture 103: Types of Relations (GATE Problems) - Set 1
Lecture 104: Types of Relations (GATE Problems) - Set 2
Lecture 105: Operations on Relations
Lecture 106: Composition of Relations
Lecture 107: Composition of Relation with Itself
Lecture 108: Representation of Relations
Lecture 109: Closure of Relations – Part 1
Lecture 110: Closure of Relations – Part 2
Lecture 111: Closure of Relations (Solved Problems) - Set 1
Lecture 113: Closure of Relations (Solved Problems) - Set 2
Lecture 114: Closure of Relations - GATE Problem
Lecture 115: Equivalence Relation
Lecture 116: Equivalence Relation (Solved Problems)
Lecture 117: Equivalence Relation (GATE Problems) - Set 1
Lecture 118: Equivalence Relation (GATE Problems) - Set 2
Lecture 119: Equivalence Relation (GATE Problem)
Lecture 120: Equivalence Classes
Lecture 121: Congruence Modulo m
Lecture 122: Modulus of Negative Numbers
Lecture 123: Equivalence Classes and Partitions
Lecture 124: Equivalence Classes and Partitions (Solved Problems)
Lecture 125: Introduction to Partial Ordering
Lecture 126: Partial Orderings (Solved Problems) - Set 1
Lecture 127: Partial Orderings (Solved Problems) - Set 2
Lecture 128: Hasse Diagram
Lecture 129: Hasse Diagram (Solved Problems) - Set 1
Lecture 130: Hasse Diagram (Solved Problems) - Set 2
Lecture 131: Poset (Minimal and Maximal Elements)
Lecture 132: Poset (Least and Greatest Elements)
Lecture 133: Poset (Lower and Upper Bounds)
Lecture 134: Poset (Least Upper Bound and Greatest Lower Bound)
Lecture 135: Hasse Diagram (Solved Problems) - Set 3
Lecture 136: Symbols for Partial Order
Lecture 137: Meet Semilattice
Lecture 138: Join Semilattice
Lecture 139: Lattice
Lecture 140: Lattice (GATE Problems) - Set 1
Lecture 141: Complete and Bounded Lattice
Lecture 142: Lattice (Complement of an Element)
Lecture 143: Lattice (GATE Problems) - Set 2
Lecture 144: Complemented Lattice
Lecture 145: Distributive Lattice