## Video Lectures

Chapter 1 : Set theory
Topic : Introduction, Sets and Elements, subsets
Content : Proper Subsets 28 MB ,12:39 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : Sets and Elements, Venn Diagrams
Content : Examples of Sets 7 MB ,5:42 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : Set operations
Content : Examples of Set operations 17 MB ,12:53 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : Algebra of Sets ( Laws on sets)
Content : Commutative Law, Associative Law, Distributive Law, De Morgan's Law, Idempotent Law, Absorption Law, Complement Law, Identity Law, Universal bound Law, Set difference Law 40 MB ,29:41 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : Duality
Content : Examples on Duality 3 MB ,2:45 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : Finite Sets
Content : Cardinality of sets, Infinite Sets, Power Sets, Examples of sets 12 MB ,10:1 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : classes of Sets
Content : Russell's paradox 4 MB ,4:39 MIN , THEORY

Chapter 1 : Set theory
Topic : Partitions
Content : Examples on partitions 7 MB ,6:29 MIN , THEORY + PRACTICAL

Chapter 1 : Set theory
Topic : Mathematical Induction
Content : Factorial Notation, Strong Mathematical Induction, Examples on Mathematical Induction 52 MB ,37:17 MIN , THEORY + PRACTICAL

Chapter 2 : Relations
Topic : Introduction
Content : Introduction of Relation 4 MB ,3:33 MIN , THEORY + PRACTICAL

Chapter 2 : Relation
Topic : Relations
Content : Definition of Relation, Representation of Relation 76 MB ,53:56 MIN , MATHS SOLUTION

Chapter 2 : Relations
Topic : Product Sets
Content : Examples on Product sets ( Cartesian Product) 4 MB ,3:4 MIN , THEORY + PRACTICAL

Chapter 2 : Relations
Topic : Relations
Content : Examples on Relations, Inverse Relation 20 MB ,14:46 MIN , THEORY + PRACTICAL

Chapter 2 : Relations
Topic : Compositions of Relations
Content : Example on Composition of Relations 19 MB ,12:50 MIN , THEORY + PRACTICAL

Chapter 2 : Relations
Topic : Types of Relations (Properties of Relations), Equivalence Relations
Content : Empty Relation, Reflexive Relation, Symmetric Relation, Transitive Relation, Anti symmetric Relation 62 MB ,27:15 MIN , THEORY + PRACTICAL

Chapter 2 : Relations
Topic : Partial Ordering Relations
Content : POSET 13 MB ,8:48 MIN , THEORY + PRACTICAL

Chapter 2 : Relations
Topic : Relations
Content : Types of Relation, Properties of Relation, Equivalence Relation, Partial Ordering Relation 82 MB ,58:34 MIN , MATHS SOLUTION

Chapter 1 : Functions and Algorithms
Topic : Introduction, Functions, One-to-one, Onto, and Invertible Functions
Content : Bijective Function, Examples on One-to-one and Onto functions, Inverse of function 77 MB ,32:52 MIN , THEORY + PRACTICAL

Chapter 1 : Functions and Algorithms
Topic : Mathematical Functions, Exponential and Logarithmic Functions
Content : Identity Function, Constant Function, Absolute value Function, Flooring Function, Ceiling Function 57 MB ,27:39 MIN , THEORY + PRACTICAL

Chapter 1 : Functions and Algorithms
Topic : Sequence
Content : Summation Notation, Product Notation 7 MB ,4:49 MIN , THEORY + PRACTICAL

Chapter 1 : Functions and Algorithms
Topic : Recursively Defined Functions
Content : Examples on Recursively defined Sequence 17 MB ,8:1 MIN , THEORY + PRACTICAL

Chapter 1 : Functions and Algorithms
Topic : Cardinality
Content : Properties of Cardinality, countable and uncountable sets 10 MB ,7:12 MIN , THEORY + PRACTICAL

Chapter 2 : Probability
Topic : Introduction, sample space and Events
Content : Random Experiments, Types of Events, Addition rule of probability 13 MB ,10:35 MIN , THEORY + PRACTICAL

Chapter 2 : Probability
Topic : Conditional Probability
Content : Examples on Conditional Probability 9 MB ,6:48 MIN , THEORY + PRACTICAL

Chapter 2 : Probability
Topic : Independent Events
Content : Independent events 1 MB ,0:57 MIN , THEORY

Chapter 2 : Probability
Topic : Binomial Distribution
Content : Binomial Distribution 23 MB ,14:40 MIN , MATHS SOLUTION

Chapter 2 : Probability
Topic : Random Variable
Content : Concept of Discrete & Random variables 7 MB ,4:29 MIN , MATHS SOLUTION

Chapter 2 : Probability
Topic : Random Variable
Content : Discrete Random Variable 11 MB ,6:48 MIN , MATHS SOLUTION

Chapter 2 : Probability
Topic : Discrete Random Variable
Content : Expected value & Variance 13 MB ,8:5 MIN , MATHS SOLUTION

Chapter 2 : Probability
Topic : Discrete Random Variable
Content : Cumulative Distribution Function 10 MB ,6:49 MIN , MATHS SOLUTION

Chapter 2 : Probability
Topic : Random variable
Content : Continuous Random variable 24 MB ,14:51 MIN , MATHS SOLUTION

Chapter 2 : Probability
Topic : Continuous Random Variable
Content : Expected Value & Variance 19 MB ,11:59 MIN , MATHS SOLUTION

Chapter 1 : Techniques of Counting
Topic : Introduction, Basic Counting Principles
Content : Addition Principle and Multiplication Principle of counting 5 MB ,4:0 MIN , THEORY + PRACTICAL

Chapter 1 : Techniques of Counting
Topic : Permutations, Combinations
Content : Examples on Permutations and Combinations 20 MB ,13:35 MIN , THEORY + PRACTICAL

Chapter 1 : Techniques of Counting
Topic : The Pigeonhole Principle, The Inclusion Exclusion Principle, Tree Diagrams
Content : Examples on Pigeonhole principle, Examples on Inclusion Exclusion Principle, Examples on Tree Diagrams 40 MB ,26:22 MIN , THEORY + PRACTICAL

Chapter 2 : Advanced Counting Techniques, Recursion
Topic : Recurrence Relations
Content : Introduction and Examples of Recurrence Relations 59 MB ,25:59 MIN , THEORY + PRACTICAL

Chapter 2 : Advanved Counting Techniques, Recursion
Topic : Linear Recurrence Relations with Constant Coefficients
Content : Degree of Recurrence Relation, Characteristic roots of Recurrence Relation 8 MB ,3:46 MIN , THEORY + PRACTICAL

Chapter 2 : Advanced Counting Techniques, Recursion
Topic : Solving Second Order Homogeneous Linear Recurrence, Relations
Content : Examples 18 MB ,8:38 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Introduction, Representation of Graph, Parallel edges & Loops 22 MB ,12:15 MIN , THEORY

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Types of Graph: Simple Graph, Null Graph, Multigraph, Pseudograph, Complete Graph, Regular Graph, Bipartite Graph, Complete Bipartite Graph, 104 MB ,58:26 MIN , THEORY

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Planar Graph, Euler's Theorem, Kuratowski's Theorem 20 MB ,11:40 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Subgraph & Spanning Subgraph 29 MB ,17:36 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Graph Coloring, Chromatic Number, Clique, 27 MB ,15:19 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Isomorphic Graph or Isomorphism Part-II 41 MB ,22:58 MIN , THEORY

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Eulerian Graph & Hamiltonian Graph, Eulerian Trail, Eulerian Cycle, Hamiltonian path, Hamiltonian Cycle 49 MB ,27:10 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Path Connectivity, Disconnectivity, Trail 39 MB ,22:28 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Tree Graph 59 MB ,34:30 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Graph Theory
Content : Isomorphism or Isomorphic Graph Part-I 68 MB ,36:15 MIN , THEORY

Chapter 2 : Directed Graphs
Topic : Graph Theory & Directed graph
Content : Graph Algorithms: Depth-First and Breadth-First Searches 75 MB ,43:43 MIN , THEORY + PRACTICAL

Chapter 2 : Directed Graphs
Topic : Directed Cycle Free Graphs, Topological Sort
Content : Directed Cycle Free Graph also known as Directed Acyclic Graph 30 MB ,17:34 MIN , THEORY

Chapter 2 : Directed Graphs
Topic : Graph Rechability, Shortest Path Problems, Spanning Trees
Content : Basics for Shortest Path 52 MB ,31:42 MIN , THEORY

Chapter 1 : Graph Theory
Topic : Homeomorphic Graph
Content : Homeomorphic Graph 26 MB ,14:30 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Labeled & Weighted Graph
Content : Labeled & Weighted Graph 5 MB ,3:31 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Konigsberg Bridge
Content : Konigsberg Bridge 16 MB ,8:50 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Representing Graph in Computer's Memory
Content : Representing Graph in Computer's Memory, Sequential representation of Directed Graph 13 MB ,8:22 MIN , THEORY + PRACTICAL

Chapter 1 : Graph Theory
Topic : Representing Graph in Computer's Memory
Content : Representing Graph in Computer's Memory, Linked List Representation of Directed Graph 10 MB ,5:55 MIN , THEORY + PRACTICAL

Chapter 1 : Binary Trees
Topic : Huffman's Algorithm
Content : Huffman's Algorithm 76 MB ,44:20 MIN , THEORY

Chapter 1 : Binary Trees
Topic : Binary Trees
Content : Binary Trees, Complete & Extended Binary Trees 21 MB ,12:28 MIN , MATHS SOLUTION

Chapter 1 : Binary Trees
Topic : Binary Tree
Content : Binary Tree Representation in Computer Memory 11 MB ,6:30 MIN , MATHS SOLUTION

Chapter 1 : Binary Trees
Topic : Binary Tree
Content : Traversing Binary Trees 14 MB ,8:29 MIN , MATHS SOLUTION

Chapter 2 : Lattice
Topic : Lattice
Content : Supremum, Infimum, Lattice, Bounded Lattice, Distributive Lattice, Complements, Complemented Lattice, Lattice 346 169 MB ,2:0:51 MIN , MATHS SOLUTION

## The Shikshak App

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