Convener(s)
| Name: | Prof. Gopal Krishna Panda | Prof. Srinivas Kotyada |
| Mailing Address: | Department of Mathematics, National Institute of Technology Rourkela Rourkela, Odisha, 769 008 |
Department of Mathematics, The Institute of Mathematical Sciences IV Cross Road CIT Campus, Taramani Chennai, 600 113 |
| Email: | gkpanda at nitrkl.ac.in | ksrinivas.imsc at gmail.com |
The aim of this workshop is to show how mathematics is applied in real life situations. Basics of numerical analysis, statistics and probability and number theory will be developed and by means of examples and exercises its beauty and importance will be demonstrated. Emphasis will be given on problem solving. The sessions will be interactive. The lectures and tutorial in some of the above topics may trigger the minds of the teachers to learn further. Participants are expected to work hard during the course of the programme.
Dates:
Venue:
Venue Address:
Prof. Gopal Krishna Panda
Department of Mathematics,
National Institute of Technology Rourkela
Rourkela, Odisha, 769 008
Venue State:
Venue City:
PIN:
Syllabus:
Syllabus:
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Prof. Srinivas Kotyada IMSc, Chennai |
6 (each one 1.5 hr)
|
Division algorithm, Euclid’s algorithm, solving linear Diophantine equations, Modular arithmetic, theorems of Fermat and Euler, RSA Cryptosystem |
|
Prof. Gopal K. Panda NIT, Rourkela |
6 (each one 1.5 hr) |
Basic probability, Random variables, Expectation, moments, skewness, kurtosis, Discrete probability distributions, Continuous probability distributions (more focus on normal distribution), Bivariate probability distributions, Correlation and regression |
|
Prof. Santanu Saha Ray, NIT, Rourkela |
6 (each one 1.5 hr ) |
Error Analysis, Interpolation by polynomials, Numerical differentiation and integration, Numerical solutions of nonlinear equations in one variable, Rate of convergence, Numerical solutions of linear system of equations, Linear solutions of differential equations |
References:
- V.K. Rohtagi and A. K. Md. Ehsanes Saleh, An introduction to probability and statistics, y John Wiley & Sons,Inc., Hoboken, New Jersey
- R. L. Burden and J. D. Faires, Numerical Analysis, Cengage Learning, Canada
- I. Niven, H. S. Zuckerman and H. L. Montgomery, An introduction to the theory of numbers, Wiley India Pvt Ltd.
Name of the tutors:
|
S. No. |
Name |
Affiliation |
|
1 |
Prof. P.K. Ray
|
Department of Mathematics |
|
2 |
Dr. Manas RanjanTripathy |
Department of Mathematics |
|
3 |
Dr. Sai Gopal Rayaguru |
Centre for Data Science |
Time Table:
Time-table (with names of speakers and tutors):
|
Day |
Date |
Lecture 1 (9.30–11.00) |
Tea (11.00-11.30) |
Lecturer 2 (11.30–1.00) |
Lunch (1.00 – 2.30) |
Lecture 3 (2.30-4.00) |
Tea (4.00 -4.15) |
Discussion (4.15-5.15) |
Snacks (5.15 – 5.45) |
|
Mon |
09.01.23 |
SK |
|
GKP |
|
SSR |
|
SSR, AK, SJ |
|
|
Tue |
10.01.23 |
SK |
|
GKP |
|
SSR |
|
GKP, MT, SCK |
|
|
Wed |
11.01.23 |
GKP |
|
SSR |
|
SK |
|
SK, PKR, SGR |
|
|
Thu |
12.01.23 |
SSR |
|
GKP |
|
SK |
|
SK, PKR, SGR |
|
|
Fri |
13.01.23 |
SK |
|
SSR |
|
GKP |
|
GKP, MT, SCK |
|
|
Sat |
14.01.23 |
SK |
|
GKP |
|
SSR |
|
SSR, AK, SJ |
|
Full forms for the abbreviations of speakers and tutors:
SK: Srinivas Kotyada
SSR: Santanu Saharay
GKP: Gopal Krishna Panda
PKR: Prasanta Kumar Ray
MR: Manas RanjanTripathy
SCK: Suchandan Kayal
AK: Ankur Kanujia
SJ: Sangeeta Jha
SRG: Sai Gopal Rayaguru
Selected Applicants:
To Be Announced
How to Reach:
TBA