TEW - Introduction to Numerical Analysis, Probability and Statistics, Public Key Cryptography (2023)

Speakers and 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:

  1. V.K. Rohtagi and A. K. Md. Ehsanes Saleh, An introduction to probability and statistics, y John Wiley & Sons,Inc., Hoboken, New Jersey
  2. R. L. Burden and J. D. Faires, Numerical Analysis, Cengage Learning, Canada
  3. 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
Sambalpur University
Jyoti Vihar, Burla, Sambalpur

2

Dr. Manas RanjanTripathy
Dr. Suchandan Kayal
Dr. Ankur Kanujia
Dr. Sangeeta Jha

Department of Mathematics
NIT Rourkela, Odisha

3

Dr. Sai Gopal Rayaguru

Centre for Data Science
SOA University, Bhubaneswar, Odisha

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

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