डॉ. बी. आर. अम्बेडकर विश्वविद्यालय दिल्ली 
| Course Type | Course Code | No. Of Credits |
|---|---|---|
| Foundation Core | SUS1MA515 | 4 |
Semester and Year Offered: VI semester
Course Coordinator and Team: Dr. Ramneek Khassa
Email of course coordinator: ramneek[at]aud[dot]ac[dot]in
Pre-requisites: Mathematics of the 12th level
Aim: The main objective of this course is to prepare students who either wish to pursue Mathematics as career or need to use it from application point of view. Cryptography and Crypto analysis is a field where even non-mathematicians who are familiar with Elementary Number theory have flourished and this course will easily feed in their needs to familiarize them with rudiments of Cryptography.
BRIEF DESCRIPTION OF MODULES/ MAIN MODULES:
- Euclidean Algorithm and Applications
- Linear Congruences
- Factorization methods
- Arithmetic Functions
- Primitive Roots
- Quadratic Reciprocity and Elementary Cryptosystems
- Lab work using MATHEMATICA
ASSESSMENT DETAILS WITH WEIGHTS:
| Components | Weightage | Schedule |
| Class Test | 10% | First week of February |
| Lab Work assessments | 25% | Throughout semester |
| Mid semester | 15% | as per AUD academic calendar |
| End semester | 35% | as per AUD academic calendar |
| Group Presentations | 15% | early April |
Reading List:
MAIN REFERENCES:
- George E Andrews, Number Theory, Hindustan Publishing House, Indian Edition.
- David M Burton, Elementary Number Theory (6th Edition), Tata McGraw-Hill Edition, Indian reprint, 2007.
- Neville Robins, Beginning Number Theory (2nd Edition), Narosa Publishing House Pvt. Ltd., 2007.
ADDITIONAL REFERENCES:
- Sigmon & Stitzinger, Applications of Abstract Algebra with MAPLE (Kindle Edition), CRC Press, 1999.
- Zuckerman & Montgomery, An introduction to the Theory of Numbers (5th Edition), Wiley, 1991.