Courses@Math

Available courses

• Introduction to Graph Theory 2019

  • Teacher: Arvind Ayyer

  Graphs, subgraphs, Eulerian tours, trees, matrix tree theorem and Cayley's formula,
  connectedness and Menger's theorem, planarity and Kuratowski's theorem, chromatic number
  and chromatic polynomial, Tutte polynomial, the five-colour theorem, matchings, Hall's theorem,
  Tutte's theorem, perfect matchings and Kasteleyn's theorem, the probabilistic method, basics of algebraic graph theory

  Course webpage: http://www.math.iisc.ernet.in/~arvind/ma216/

• Probability Models 2019

  • Teacher: Arvind Ayyer

  Sample spaces, events, probability, discrete and continuous random variables, Conditioning and independence,
  Bayes' formula, moments and moment generating function, characteristic function, laws of large numbers,
  central limit theorem, Markov chains, Poisson processes.

  Course webpage: http://www.math.iisc.ernet.in/~arvind/ma261/

• Linear Algebra 2018

  • Teacher: R Venkatesh

• Geometric Analysis January 2018

  • Teacher: Vamsi Pingali