12th Mathematics Chapter Study Material English Medium 2021 By S Rajan M Sc M Phil M Ed Apr 2026

Week 6: Differential Equations. The study material introduced a simple “Order, Degree, and Method” checklist. It was like a doctor’s diagnostic chart: “Is it variable separable? If yes, do this. Is it linear? If yes, find the Integrating Factor.” No confusion. No panic.

His problem wasn't hard work. It was chaos . His notes were a scrambled mix of his school teacher's rushed scribbles, YouTube screenshots, and three different reference books. Calculus was a warzone of conflicting methods. Vectors and 3D Geometry felt like a foreign language. Probability was a cruel joke.

That summer, he wrote a thank-you letter to the address printed inside the cover. He never got a reply. But he knew, somewhere, a quiet teacher was still designing bridges for anxious students lost in the fog of numbers. Week 6: Differential Equations

The difference was immediate. Where his school textbook used dense paragraphs, Rajan sir used a single, hand-drawn flowchart. For every definition—Reflexive, Symmetric, Transitive—there was a tiny, real-life example. “Reflexive? You are related to yourself. Symmetric? If Arjun is Shreya’s friend, then Shreya is Arjun’s friend (hopefully!). Transitive? If Arjun is taller than Rohan, and Rohan is taller than Priya, then…”

“Dear Student, By now, you have crossed the bridge. Tomorrow, the examiner will not ask you to run faster than anyone else. They will simply ask you to walk steadily. Stay calm. Read the question twice. Show your steps. And remember: a mistake is just a data point, not a verdict. With respect, S. Rajan” If yes, do this

His friends asked, “Which coaching institute did you join?”

Week 1: Calculus – Continuity and Differentiability. Rajan sir’s material broke the dreaded chain rule into a cooking recipe. “First, peel the outer function (the onion skin). Then, chop the inner function (the vegetable). Cook them together.” For the first time, derivatives made sense. No panic

Chapter Study Material English Medium – 2021 S. Rajan, M.Sc., M.Phil., M.Ed.

He closed his eyes, saw the clean, white page of the study material in his mind, and wrote the solution. Step by step. Neatly.