Week 1 : Pigeonhole Principle
Week 2 : Basic and Bijective
Week 3 : Compositions and Partitions.
Week 4 : Advanced Counting.
Week 6 : Generating Functions
Week 8 : Menger, Hall, Konig - equivalence and System of Distinct Representatives.
Week 9 : Planar graphs.
Week 10: Groups and Polya theory.
Week 11: Species of structures.
Week 12: An overview, scope and further directions.
1. Introductory Combinatorics 5th Edition, Richard Brualdi, Pearson.
1. Bijective Combinatorics. Nicholas Loehr. CRC press.
2. Enumerative combinatorics. Richard Stanley. Cambridge university press.