AJAY PATHAK (MATH)

Ajay M. Pathak Assistant Professor | Mathematics Educator Learn Maths from an experienced tutor who focuses on clear concepts, problem-solving, and real understanding — not just formulas. 👨‍🏫 About Me I specialize in teaching Mathematics to engineering and school students with a focus on concept clarity and logical thinking. My teaching approach simplifies complex topics like Calculus, Differential Equations, and Statistics into easy and understandable ideas. 📘 What I Teach Engineering Mathematics • Calculus • Vector Calculus • ODE & PDE • Statistics • School Maths 🎯 Why Students Choose Me Concept-based teaching Personalized 1:1 online classes Strong focus on problem-solving Support for exams, assignments & projects 📲 Contact me on WhatsApp ...

🚆 Mathematics Behind "Where is My Train" App In today’s digital world, apps like “Where is My Train” have made railway travel much easier. With just one click, we can know the exact location of a train, its delay, and expected arrival time. But have you ever wondered — what mathematics works behind this smart system? Let’s explore the beautiful mathematics and logic behind this application in a simple and interesting way. 📍 1. Position Estimation (Basic Idea) The main goal of the app is to find the current position of the train . Mathematically, this depends on: Position = f(Time, Speed, Distance) This means the location of the train depends on how fast it is moving and how much distance it has covered over time. 🌍 2. GPS and Distance Calculation The app uses GPS coordinates (latitude φ and longitude λ) to track the train in real time. Each location on Earth is represented as a point (φ₁, λ₁) and (φ₂, λ₂). To find the distance between these...