As you asking for the Syllabus of the b.tech cs Cryptography and Network Security – I of the Autumn Semester of the IIT Bombay the syllabus is as follow:

The contents of the course are listed below.
Introduction
Cyber Attacks
Defense strategies and techniques
Computer Networking Primer
Introduction to LANs, IPv4, IPv6, ICMP, TCP/UDP, DNS, HTTP, etc.

Mathematical Background for Cryptography
Modulo Arithmetic
GCD (Euclids Algorithm)
Algebraic Structures (Groups)
Chinese Remainder Theorem

Basics of Cryptography
Elementary Ciphers (Substitution, Transposition and their Properties)

Secret Key Cryptography
DES (Data Encryption Standard)
MAC (Message Authentication Codes) and other applications
Attacks

Public Key Cryptography
RSA
Performance
Practical Issues
PKCS (Public Key Cryptography Standard)

Cryptographic Hash
Properties, Applications, Performance
Birthday Attack

Key Management
Digital Certificates
PKI (Public Key Infrastructure)

Authentication
One-Way Authentication
Mutual Authentication
Dictionary Attacks
Centralized Authentication
The Needham-Schroeder Protocol
Kerberos
Non-cryptographic Protocol Vulnerabilities
DoS and DDoS
Session High jacking and Spoofing
ARP Spoofing and Attacks on DNS

Viruses, Worms, and other Malware
Virus and Worm Features
Internet Scanning Worms
Mobile Malware and Botnets

Access Control in Operating Systems
Discretionary Access Control
Mandatory Access Control
Role Based Access Control
SELinux and Recent Trends