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# Video Lectures

## 01 Set, construction methods, set types, set cardinality

## 02 Set Construction methods | Roster | Description

## 03 Operations with sets | Union | Intersection | Difference | Complement

## 08 Anti-symmetric relation

## 15 Numerical problem on Relation

## 16 (A ᴧ B) X (C ᴧ D)=(A X C) ᴧ ( B X D) | Relation example

## 18 Mathematical Induction

## 19 Mathematical Induction | Prove 2+4+6+…+2n=n(n+1)

## 20 Mathematical Induction | Sum of cubes of three Consecutive integers is divisible by 9

## 22 Group, Abelian Group, Sub Group

## 23 Prove set G= {1, 2, 3, 4, 5, 6} is abelian group of order 6, multiplication modulo 7

## 24 Prove set G= {0, 1, 2, 3, 4, 5} is abelian group of order 6, addition modulo 6

## 25 Monoid in Algebraic structure

## 27 Numerical problem on Semi Group

## 32 Numerical problem on Group

## 35 Prove that a ring R is commutative, if and only if (a+b)2 = a2 + 2ab + b2

## 36 Obtain particular solution ar + 5ar-1 + 6ar-2 = 3r2 – 2r + 1

## 37 Proposition | Basic Logical | Conjuction | Disjunction | Negation

## 39 CNF: Conjuctive Normal Form

## 40 Inclusion Exclusion Principal

## 41 Inclusion Exclusion Principal example 01

## 46 Recurrence Relation | Example 01

## 47 Recurrence relation | Example 02

## 48 Recurrence relation | Example 03

## 49 Generating function | Example 01

## 50 Generating function | Example 02