12th Mathematics Chapter Study Material English Medium 2021 By 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.
He slumped over, defeated. "I don't need more problems," he whispered to himself. "I need a key ."
It wasn't flashy. It had no “50 Sample Papers” or “Crash Course” stickers. Arjan almost put it back, but the price was just thirty rupees. He shrugged and bought it, more out of pity for the old bookseller than hope.
That night, he opened it.
Two months later, the results came. Arjun scored 95 in Mathematics—his highest mark ever.
In the exam hall, the paper was tricky, not hard. One question—a 3D Geometry line-of-shortest-distance problem—froze him for a minute. Then he remembered Rajan sir’s flowchart from the “Three-Dimensional Geometry” Milestone. Step 1: Write equations in symmetric form. Step 2: Identify direction ratios. Step 3: Apply the determinant formula for shortest distance.
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…” He closed his eyes, saw the clean, white
Chapter Study Material English Medium – 2021 S. Rajan, M.Sc., M.Phil., M.Ed.
“Dear Student, Mathematics is not a race. It is a bridge. Every chapter is a plank. If you rush, you fall. My goal is not to give you 100 shortcuts, but to build you one strong, clear path. Turn the page when you are ready, not when you are anxious.”
— S. Rajan
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.
Arjun smiled and held up the thin, worn-out, white-covered book. “No institute. Just a bridge builder named S. Rajan, M.Sc., M.Phil., M.Ed.”
“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” He slumped over, defeated
It was simple. Human. Logical.
That Saturday, his father took him to the old book market near the Gandhi Maidan. Among the piles of dusty, second-hand guides, a thin, unassuming book caught his eye. Its cover was clean, white, and printed in a simple, bold font: