TEW - Algebra & Discrete Mathematics (2020)
Speakers and Syllabus
Speaker | Affiliation | Topic(s) | Number of lecture hours |
Number of tutorial hours |
Anirban Mukhopadhyay | IMSc, Chennai |
Finite fields |
9 | 2 (conduct) + 2 (assist) |
K.N. Raghavan | IMSc, Chennai | Group actions Basics of group actions will be covered with a view towards solving counting problems.The Cauchy-Frobenius-Burnside formula for the number of orbits and its applications will form the main showpiece. The class equation along with some of its applications and proofs of Sylow’s theorems will also be covered from the point of view of group actions. |
9 | 2 (conduct) + 2 (assist) |
Sankaran Viswanath | IMSc, Chennai | Discrete Mathematics Permutations and combinations, combinations with repetition, principle of inclusion- exclusion, partition of a set, equivalence relations, distributions and multinomial numbers, principle of induction, recurrence relations, generating functions, exponential generating function, Graphs and graph models, Representation of graphs and Graph isomorphism. |
9 | 2 (conduct) + 2 (assist) |
Reference Material:
- Norman L. Biggs, Discrete Mathematics, (2nd Edition), Oxford University Press, 2012.
- Kenneth H Rosen, Discrete Mathematics and its applications with combinatorics and Graph Theory, (7th Edition reprint), McGraw Hill Education(India), pvt, 2018.
- David S. Dummit and Richard M. Foote, Abstract Algebra, (3rd Edition reprint), John Wiley and Sons, 2013
- Notes for group actions: https://www.imsc.res.in/~knr/past/ignou.pdf
Time Table
Time | 09:30 to 11:00 | 11:15 to 12:45 | 14:00 to 15:30 | 15:45 to 16:45 | ||||
Mon 25th | KNR | TEA | SV | LUNCH | AM | TEA | Tutorials(KNR & AM) | S |
Tue 26th | KNR | SV | AM | Tutorials(SV & AM) | N | |||
Wed 27th | KNR | AM | SV | Tutorials(KNR & SV) | A | |||
Thur 28th | KNR | AM | SV | Tutorials(AM & SV) | C | |||
Fri 29th | KNR | SV | AM | Tutorials(SV & KNR) | K | |||
Sat 30th | KNR | AM | SV | Tutorials(AM & KNR) | S |
KNR = K.N.Raghavan, AM = Anirban Mukhopadhyay, SV = Sankaran Viswanath