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Explore comprehensive cybersecurity fundamentals through this extensive lecture series covering mathematical foundations, cryptography, and practical ethical hacking techniques. Master essential mathematical concepts including modular arithmetic, congruence properties, Euclidean algorithms, and primality testing that form the backbone of modern cryptographic systems. Delve deep into cryptographic principles starting with basic operations like XOR and shift functions, progressing through classical ciphers such as Caesar, Playfair, Vigenere, and Hill ciphers, before advancing to modern encryption standards including DES, Triple DES, and AES with detailed finite field arithmetic explanations. Learn public key cryptography fundamentals through RSA algorithm implementations, Diffie-Hellman key exchange, ElGamal cryptosystem, and elliptic curve cryptography across multiple sessions. Understand hash functions, SHA-512 implementation, message authentication codes (MAC), HMAC, and digital signature schemes including ElGamal signatures and Digital Signature Standards. Transition into practical cybersecurity applications by setting up virtual hacking laboratories using VirtualBox and Kali Linux, then master essential penetration testing tools including Nmap for network scanning, SQL injection techniques using DVWA and SQLmap, network intrusion detection with Snort, and comprehensive password cracking methodologies using Hydra, Hashcat, John the Ripper, and Ophcrack. Gain hands-on experience with the Metasploit Framework through multiple sessions covering exploitation techniques, auxiliary modules, and Meterpreter functionality for remote code execution and file transfer. Practice various attack vectors including social engineering using SET toolkit, ARP spoofing for man-in-the-middle attacks, clickjacking, cross-site scripting (XSS), cross-site request forgery (CSRF), and denial-of-service attacks using Hping3. Explore wireless security by understanding WEP, WPA, and WPA2 protocols while learning WiFi hacking techniques with Aircrack-ng. Master vulnerability assessment using Nessus scanner for host discovery and web application testing, perform DNS enumeration with various tools, implement firewall configurations with UFW, and understand database security through MySQL exploitation techniques. Learn network file system attacks, advanced Nmap scripting for service exploitation, passive network sniffing with tcpdump, MAC flooding attacks, and modern authentication methods including Google Passkey implementation, while understanding security policy development and cyber law frameworks under the IT Act 2000.
