My Teaching Journey in Mathematics and Physics

I’ve spent decades exploring science both as a student and as a teacher.
From radar systems to relativity, and from control towers to classrooms, this journey blends experience with insight.
What follows is a glimpse into my academic background, certifications, and the passion that drives me to teach.

Introduction

From an early age, I was drawn to the elegance of Mathematics and the profound depth of Physics and Vedanta. I pursued a B.Sc. with Honours in Mathematics and later enrolled in the M.Sc. Mathematics program at Burdwan University (1982–84).

In June 1983, while still in my postgraduate studies, I was selected for a position in the Civil Aviation Department. I cleared a competitive written examination and a demanding viva voce at Calcutta Airport. I joined the department at Civil Aerodrome, Patna, in a specialized unit called the Aeronautical Communication Station.

There, I began my technical duties involving HF and VHF radio systems, along with navigation aids such as NDB, CVOR, DME, and ILS. I also operated and maintained essential systems like the Public Address (PA) system and security infrastructure. Shortly after joining, the department sent me to the Central Staff Training Institute in Kolkata to complete a Basic Course on Electronics.

Over a dedicated career of 35 years, I received extensive training in Primary and Secondary Radar, ILS, DVOR, DME, and other key technologies used in Air Traffic Management (ATM). I was fortunate to attend international training in Kansas City, USA, for advanced DVOR systems. My responsibilities gave me a strong foundation in Electromagnetic Wave Theory, Microwave Engineering, Transmission and Networking Systems, and the hardware-software interface crucial for aviation safety.

These decades of practical learning nurtured in me a deep desire to keep studying. After retirement, I turned with even greater focus to academic and scientific exploration.

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🎓 The Learning Continues: IIT Kanpur and Beyond

My journey into structured post-retirement learning began with one of the finest courses available online: “Fundamentals of Physics” by Prof. H.C. Verma, offered through IIT Kanpur. This course reawakened my foundational understanding of classical mechanics, vector analysis, and problem-solving—laying the groundwork for all subsequent learning.

1️⃣ Basics of Special Theory of Relativity

🗓️ December 2018 – March 2019
This was the first course that reignited my formal studies. It opened my mind to the paradoxes and profound logic of Einstein’s theory, where space and time fuse into a unified continuum. The experience was both humbling and elevating—a return to the basics of motion, light, and simultaneity, viewed through a relativistic lens.

2️⃣ Basics of Quantum Mechanics

🗓️ August–November 2019
With eager anticipation, I entered the world of quantum theory—a realm where particles behave like waves and certainty gives way to probability. This course taught me to embrace ambiguity and marvel at the hidden order behind quantum uncertainty. My intuitive longing for this subject finally met structured clarity.

3️⃣ Advanced Course on Special Theory of Relativity

🗓️ January – May 2020
Building upon the foundations laid earlier, this course deepened my conceptual understanding of relativistic physics. Topics like four-vectors, spacetime intervals, and relativistic energy-momentum relations helped me appreciate the mathematical beauty and logical coherence of Einstein’s vision.

4️⃣ Classical Electromagnetism – 1: Electrostatics

🗓️ August–December 2020
This course took me back to the field that had defined much of my professional life—electromagnetic wave theory. It examined the foundational principles of electric fields, potential, and Gauss’s Law. The rigorous mathematical treatment awakened new insights into concepts I had once applied in the field of radar and communication systems.

5️⃣ Classical Electromagnetism – 2: Magnetostatics

🗓️ August–December 2022
As a natural continuation, this course focused on magnetostatics—delving into the Biot–Savart law, Ampère’s circuital law, and vector potentials. Here, my decades of experience with VHF/UHF systems, radars, and navigational aids found resonance with Maxwell’s equations, beautifully revisited in their static form.

Learning Soft Skills and Self-Development

Alongside Physics and Mathematics, I felt a growing urge to understand the human side of education and engineering—what truly empowers a person in modern society. This led me to pursue a pair of powerful short-term certifications:

• LifeSkills for Engineers (Level 1) (Jan–Feb 2020)

• LifeSkills for Engineers (Level 2) (Feb–Apr 2020)

Offered jointly by the Commonwealth Educational Media Centre for Asia (CEMCA) and the University of Hyderabad, these courses enriched my understanding of communication, time management, creativity, and interpersonal effectiveness—essential tools not just for engineers, but for any teacher, guide, or mentor.

Educator’s Toolkit: Teaching and Communication

To sharpen my teaching capabilities, I participated in the Effective Teaching workshop organized by NPTEL+ in Jan 2025, conducted by Prof. Pankaj Jalote (IIIT Delhi). It gave me practical insights into instructional clarity, engagement techniques, and assessment design—all tailored for Indian learners.

In February 2025, I completed yet another course of personal interest—Neuro-Linguistic Programming (NLP), offered through NPTEL by Dr. Smita Jha (IIT Roorkee). This helped me gain perspective on internal motivation, cognitive patterns, and conscious transformation—tools that I now bring into my mentoring and teaching.

The Inner Compass: From Physics to Philosophy

Each of these courses has not only added skills but also deepened my philosophical reflection. My engineering career exposed me to the electromagnetic backbone of modern civilization. But now, I strive to integrate this external knowledge with the inner wisdom of the Upanishads, Bhagavad Gita, Neuroscience, and Cosmology.

These certificates are not trophies—they are testaments to curiosity, discipline, and the spirit of continuous inquiry.

Advaita Vedanta and Upanishads: My Lifelong Journey of Study and Sharing

🌟 Ready to Learn, Grow, and Transform?

Are you a student who wants more than just marks?
Do you love to explore how Physics, math, and Life connect?
Do you believe learning should awaken your inner power?

Then welcome.

Learn deeply.
Grow fully.
Shape tomorrow.

This is a place where ancient wisdom meets modern science.
Where every concept is taught with clarity and care.

📚 Follow my blog: arunsingha.in
🏫 Join my Coaching Center if you’re nearby.
Here we learn Physics and math with joy and depth—for Intermediate and B.Sc. levels.

Because real learning is not just knowing—it’s realizing.

✨ “Tat Tvam Asi”—That Thou Art.
You are already the potential. I’m here to help you unfold it