Week 1 Day 1 Module 1 : Basic Counting Principles
Day 2 Module 2 : Permutations - Part 1
Day 3 Module 3 : Permutations - Part 2
Day 4 Discussion
Day 5 Assignments
Week 2 Day 1 Module 4 : COMBINATIONS WITHOUT REPETITIONS
Day 2 Module 5 : COMBINATIONS WITHOUT REPETITIONS, COUNTING SUBSETS of a Set
Day 3 Module 6 : COMBINATIONS WITH REPETITIONS
Day 4 Discussion
Day 5 Assignments
Week 3 Day 1 Module 7 : BINOMIAL THEOREM PART - 1
Day 2 Module 8 : BINOMIAL THEOREM PART - 2
Day 3 Module 9 : BINOMIAL THEOREM PART - 3
Day 4 Discussion
Day 5 Assignments
Week 4 Day 1 Module 10 : Recurrence relations-Recurrence relation models
Day 2 Module 11 : Solution of recurrence relations - Method of iteration
Day 3 Module 12 : Solution of First and Second order Linear Difference Equations
Day 4 Discussion
Day 5 Assignments
Week 5 Day 1 Module 13 : Solution of Second-Order Homogeneous and Non
Homogeneous Linear Difference Equations
Day 2 Module 14 : Divide and conquer relations
Day 3 Module 15 : Principle of inclusion and exclusion
Day 4 Discussion
Day 5 Assignments
Week 6 Day 1 Module 16 : DERANGEMENTS AND INVERSION FORMULA
Day 2 Module 17 : Algibra of Formal Power Series
Day 3 Module 18 : Generating functions -Part I
Day 4 Discussion
Day 5 Assignments
Week 7 Day 1 Module 19 : Generating functions -Part 2
Day 2 Module 20 : Calculating generating functions
Day 3 Module 21 : Exponential generating functions
Day 4 Discussion
Day 5 Assignments
Week 8 Day 1 Module 22 : Solutions of Recurrence Relations by Generating Functions – Part 1
Day 2 Module 23: Solutions of Recurrence Relations by Generating Functions – Part 2
Day 3 Module 24 : Set partitions part 1
Day 4 Discussion
Day 5 Assignments
Week 9 Day 1 Module 25 : Set partitions part 2
Day 2 Module 26 : Stirling numbers Part 1
Day 3 Module 27: Stirling numbers Part 2
Day 4 Discussion
Day 5 Assignments
Week 10 Day 1 Module 28 : Integer partitions 1
Day 2 Module 29 : Integer partitions 2
Day 3 Module 30 : Integer partitions 3
Day 4 Discussion
Day 5 Assignments
Week 11 Day 1 Module 31 : Multinomial Theorem
Day 2 Module 32 : Systems of Distinct Representatives - Part 1
Day 3 Module 33: Systems of Distinct Representatives - Part 2
Day 4 Discussion
Day 5 Assignments
Week 12 Day 1 Module 34 : Latin Squares Part 1
Day 2 Module 35 : Latin Squares Part 2
Day 3 Module 36 : Hadamard Matrices
Day 4 Discussion
Day 5 Assignments
Week 13 Day 1 Module 37 : CYCLE INDEX - PART 1
Day 2 Module 38 : CYCLE INDEX - PART 2
Day 3 Module 39 : CYCLE INDEX - PART 3
Day 4 Discussion
Day 5 Assignments
Week 14 Day 1 Module 40 : Burnside's Lemma Part 1
Day 2 Module 41 : Burnside's Lemma Part 2
Day 3 Module 42 : Burnside's Lemma Part 3
Day 4 Discussion
Day 5 Assignments
Week 15 Day 1 Module 43 : POLYA'S THEOREM
Day 2 Module 44 : APPLICATIONS OF POLYA'S THEOREM
Day 3 Module 45 : Necklace Problem
Day 4 Discussion
Day 5 Assignments
Week 16 Day 1 Module 46 : Combinatorial Designs - t design Part 1
Day 2 Module 47 : Combinatorial Designs - t design Part 2
Day 3 Module 48 : Combinatorial Designs - BIBDs
Day 4 Discussion
Day 5 Assignments
Week 17 Day 1 Module 49 : Combinatorial Designs - SBIBDs
Day 2 Module 50 : Some Special Combinatorial Design
Day 3
Day 4 Discussion
Day 5 Assignments
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