Intelligence Hub

Intelligence Hub is dedicated to aspirants preparing for IB ACIO & Intelligence Bureau exams.
We provide complete syllabus coverage, smart strategies, current affairs, PYQs, mock guidance, and exam updatesall explained in a clear and practical way.

๐ŸŽฏ Focused on accuracy
๐Ÿง  Built for serious aspirants
๐Ÿ‡ฎ๐Ÿ‡ณ Designed for IB selection

Prepare smart. Think strategic. Welcome to Intelligence Hub.


Intelligence Hub

Math Roadmap for Cybersecurity
๐Ÿ”น Beginner (Essential for ALL Roles)

You donโ€™t need deep math here โ€” just logical thinking and basics.

Basic Arithmetic & Algebra

Exponents & logarithms (used in complexity, key lengths).

Modular arithmetic basics (e.g., "mod 26" in Caesar cipher).

Logic & Boolean Algebra

AND, OR, NOT, XOR โ†’ used in firewalls, encryption, digital circuits.

Truth tables โ†’ useful for understanding logical attacks.

Number Systems

Binary, Hexadecimal, Octal โ†’ essential for IP addresses, encoding, memory.

Conversions between them.

Probability & Statistics (Basic)

Mean, median, variance, probability basics.

Helps in detecting unusual traffic or brute-force attempts.

โœ… Roles where this is enough: SOC Analyst, Security Analyst, Penetration Tester, Ethical Hacker.

๐Ÿ”น Intermediate (Needed for Deeper Security Work)

Useful if you want to move beyond tools and understand how things work inside.

Discrete Mathematics

Sets, functions, relations โ†’ foundations of data structures & cryptography.

Graph theory โ†’ networks, attack paths, shortest path algorithms.

Modular Arithmetic (in detail)

Modular exponentiation โ†’ used in RSA encryption.

Fermatโ€™s Little Theorem, Eulerโ€™s Totient function โ†’ important in crypto.

Probability & Statistics (Advanced)

Bayesโ€™ theorem โ†’ spam filters, IDS.

Normal distribution โ†’ anomaly detection.

Hypothesis testing โ†’ forensics & malware analysis.

โœ… Roles where this helps: Malware Analyst, Cybersecurity Forensics, Threat Hunter.

๐Ÿ”น Advanced (Needed for Research & Cryptography)

If you aim for cryptography, blockchain, or AI-driven cybersecurity.

Number Theory (Core for Cryptography)

Prime numbers, GCD, LCM.

Chinese Remainder Theorem.

Elliptic curves (used in ECC encryption).

Linear Algebra

Vectors & matrices โ†’ essential for cryptanalysis & machine learning in security.

Abstract Algebra

Groups, rings, fields โ†’ foundation for modern cryptography.

Calculus (Optional but Useful)

Not required daily, but helps in understanding machine learning algorithms for security.

โœ… Roles where this is critical: Cryptographer, Security Researcher, Blockchain Security, AI/ML in Cybersecurity.

๐Ÿ“Œ Summary

Basic Cybersecurity Roles โ†’ Just need logic, binary/hex, basic stats.

Advanced Analysis Roles โ†’ Need discrete math, modular arithmetic, probability.

Research & Crypto Roles โ†’ Need number theory, abstract algebra, linear algebra.

4 months ago | [YT] | 1