M. Ashok Kumar

Assistant Professor

Mathematics

Faculty Profile

Quizzes will be based on the assignments regularly put up in this page.

- We will try to cover the topics of the first eight chapters (possibly also a bit on Markov chains from Ch. 9) of the following book.

*Probability Theory*by Krishna B. Athreya and Soumendra N. Lahiri - Students are also encouraged to refer the following notes whenever more clarity on some of the topics is needed.

*Random Processes for Engineers*by Bruce Hajek (Freely available here) - The following is another book I found good.

*Probability*by A. N. Shiryayev - For measure theory, the following is an excellent text.

*Real Analysis: Modern Techniques and Their Applications*by Gerald B. Folland

Assignment 2

Assignment 3

Assignment 4

Assignment 5

Assignment 6

The part consisting of Combinatorics and Graph Theory

The following are suggested text books:

#### Assignments:

Assignment 1

Assignment 2

Assignment 3

The following are suggested text books:

- C.L. Liu's
*Introduction to Combinatorial Mathematics* - Kenneth Rosen's
*Discrete Mathematics and its Applications*

Assignment 2

Assignment 3

The following are suggested text books:

#### Assignments:

Assignment 1

Assignment 2

Assignment 3

*Introduction to Probability and Statistics for Engineers and Scientists*by Sheldon M. Ross-
*Design and Analysis of Experiments*by D. C. Montgomery

Assignment 2

Assignment 3