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 : 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 : 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 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 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 2 : Directed Graphs
Topic : Graph Algorithms Depth First and Breadth First Search Traversals
Content : DFS and BFS Traversals
75 MB ,43:43 MIN , THEORY
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