Combinatorial Mathematics

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