ETHICAL HACKING: Course Syllabus and Learning Manual

Published by Marcos Elias on

Abstract

This syllabus introduces the foundational module of the Ramanujan Institute’s Ethical Hacking and Cybersecurity Programme. The course provides a rigorous overview of the fundamental principles of information security, including confidentiality, integrity, availability, risk assessment methodologies, and defense-in-depth strategies.

Students are introduced to the formal distinctions between ethical, grey-hat, and malicious hacking, as well as the legal and regulatory frameworks that govern cybersecurity activities worldwide (GDPR, HIPAA, CFAA, and related compliance structures).

The module covers preventive, detective, and corrective security controls, offering hands-on exposure to essential tools such as Kali Linux, Wireshark, and virtual lab environments.
Countermeasures, security policies, audits, and continuous awareness strategies are integrated to ensure a comprehensive understanding of modern security practices.

The practical component includes configuring an ethical hacking lab, enabling students to simulate secure, real-world testing environments.

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Marcos Elias

I am the founder of the Rāmānujan Institute for the Development of Prodigious Young Mathematicians, which aims to foster the education and growth of children and young people aged 2 to 16 who demonstrate exceptional mathematical abilities. Our institute is dedicated to providing an advanced and challenging curriculum that not only prepares students for prestigious competitions, such as the International Mathematical Olympiad (IMO), but also supports their overall development. We focus on nurturing mathematical talent while ensuring that our students develop the skills necessary for success in academic and professional environments. Through mentorship programs and a commitment to inclusivity, we strive to create a community where young mathematicians can thrive and make significant contributions to the field. I am also Marcos Eduardo Elias, an engineer and mathematician. My academic journey began with a Bachelor’s degree in Mechatronic Engineering from the Polytechnic School of the University of São Paulo (USP). My education culminated in a Doctorate in Mathematics from St. Petersburg State University, specializing in Real, Complex, and Functional Analysis. I have held teaching positions at institutions such as Ibmec, Insper, and FGV-SP. I am also a member of the Brazilian Mathematical Society. In the financial sector, I founded several institutions, including GAS Investimentos (later Vinci Partners), Empiricus Research, Turing High Frequency Trading, Modena Capital and Guiar Investments. In the financial markets, I am known as the Volatility Hunter, and - in the last 30 years, I have been relentlessly searching for highly asymmetric upside risk (I am on the right side of the barbell). I have been contributing to the MIT Sloan Management Review, primarily on topics related to risk management. My current research interests include real, complex, and functional analysis, linear algebra for quantum algorithmics, Feigenbaum-Coullet-Tresser universality, stochastic calculus, and Grothendieck's Standard Conjectures on Algebraic Cycles.

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