Misc. Erotica Meera - The Math Teacher

[shamson9571]

Hello friends 
This is a 40 episode story of a teacher and student and their primarily revolving around their life incidents. Join me on a fun and erotic journey

[krantikumar]

You can start the story

[shamson9571]

Episode 1 - The First Derivative

The bell for the first period at St. Mary’s High college, Bangalore, rang with the same metallic clang it had for the last twelve years. Arjun Rao, eighteen, lanky, and perpetually late, slid into the third bench from the back just as Mr. D’Souza, the physics teacher, turned from the blackboard with the weary expression of a man who had explained Newton’s third law to five generations of uninterested adolescents.

“Arjun, you’re late again,” D’Souza said without looking up, chalk dust drifting from his fingers like tired snow.

“Sorry, sir. Traffic on Hosur Road.” Arjun dropped his bag, pulled out a dog-eared NCERT, and nudged Vikram beside him. “What did I miss?”
Vikram, round-faced and perpetually chewing gum, whispered, “Nothing. He’s still on action-reaction. Same crap as last year. I swear if he says ‘for every action there is an equal and opposite reaction’ one more time, I’m going to throw my compass at him.”

Behind them, Rahul leaned over. “Compass? Too subtle. I’m thinking the entire geometry box. With the protractor as a shuriken.”

Snickers rippled. D’Souza’s voice droned on, a monotone river. “Imagine a rocket expelling gas… the gas pushes the rocket forward…”
Arjun tuned out. He opened his notebook to a fresh page and drew a small rocket anyway—The doodle had almond eyes and a half-smile he’d borrowed from a heroine in a movie he’d sneaked into last weekend.

“Arjun Rao!” D’Souza’s voice cracked like a whip. “What is the thrust equation?”

Arjun blinked. “Uh… F = m times a, sir?”

“Wrong. That’s force. Thrust is the force produced by the engine. Pay attention or you’ll be calculating your own trajectory out of this classroom.”

Vikram kicked Arjun’s shin under the desk. “Trajectory. Nice one. You’re doomed.”
The period crawled. D’Souza wrote equations that looked like ancient hieroglyphs. Someone at the back yawned so loudly it echoed. When the bell finally rang, the class exhaled as one organism.

“Second period—maths,” Rahul announced, stretching. “Ramakrishna sir better bring coffee. I’m dying.”

They shuffled to 12-A, the corner classroom on the second floor that smelled of old wood and new paint. The fans spun lazily; monsoon clouds pressed against the windows like nosy neighbours. Arjun claimed the same bench. Vikram dropped beside him, unwrapping a Cadbury he’d smuggled past the prefects.

“Ramakrishna sir said he’d start derivatives today,” Vikram mumbled through chocolate. “As if we care. I just need seventy percent to keep my dad off my back.”
Rahul slid into the bench ahead and turned. “Derivatives are easy. Rate of change, right? Like how fast my crush changes her DP.”

“Shut up, Rahul,” said Sneha-from-12-B, who’d wandered in to borrow a pen. “Some of us actually want to get into engineering.”

“Oho, listen to Miss IIT,” Vikram teased. “Arjun, you’re aiming for IIT too, na? Or are you still dreaming of that architecture thing?”

Arjun shrugged. “Both. Maths is the gatekeeper.”

The classroom filled. Thirty-five students, thirty-five different futures colliding in one humid room. Someone passed around a phone—memes about board exams. Someone else whispered about the canteen Maggi being extra spicy today. Normal morning chaos.

Then the door opened—not with Ramakrishna sir’s familiar shuffle, but with the sharp click of formal shoes. Principal Father Mathias entered, his white cassock pristine, his face carved from granite. The room froze mid-laugh.

“Good morning, children,” he said, voice low, the kind that didn’t need volume to command silence.

Thirty-five spines straightened. Arjun’s stomach dropped. Did someone rat out the rooftop smoking? The fake hall tickets?

Father Mathias surveyed them like a general inspecting troops. “I have an announcement.”

Vikram’s gum stopped moving. Rahul’s meme phone vanished into his pocket.

“Mr. Ramakrishna has taken emergency leave. Family matter. Effective today, your new mathematics teacher is Ms. Meera Krishnan. She comes highly recommended from St. Joseph’s PU College. Treat her with respect.”

A collective exhale. Not punishment. Just change.

The principal stepped aside. And she walked in.

Ms. Meera Krishnan.

Time did something strange—it didn’t stop, but it stretched, like taffy pulled between two indifferent gods. Thirty-five pairs of eyes tracked her path from door to teacher’s table. Arjun’s breath snagged somewhere between inhale and exhale.
She wore a purple silk saree, the colour of overripe jamun, dbangd with the effortless precision of someone who had done it a thousand times yet made it look like art. The border was a thin line of gold that caught the fluorescent light and threw it back in soft shards. Her blouse was a shade darker, three-quarter sleeves, modest neckline—nothing flashy. And yet.

The saree sat low on her hips, the way sarees are meant to, revealing a handspan of midriff. Not an inch more. But that inch was a revelation. Her waist curved inward like the inside of a conch shell, smooth, warm-toned, the skin there glowing with the faint sheen of talc and morning. A tiny fold of saree tucked just above the navel created a shadow that dipped and rose with her breath—a gentle, living parenthesis. When she turned to place her bag on the table, the pleats shifted, and the fabric hugged the swell of her hips, outlining the generous, symmetrical arc of her buttocks. Not vulgar. Not even deliberate. Just the honest truth of a body that had been poured into silk and told to teach calculus.

Her face—Arjun catalogued it the way a starving man catalogues a feast. Oval, framed by hair pulled into a low bun, a few strands escaping to frame her cheekbones. Eyes the colour of wet earth after first rain. A small bindi, maroon, perfectly centred. Lips that didn’t need colour but had it anyway. She couldn’t have been more than twenty-six, twenty-seven. Old enough to command, young enough to unsettle.

“Good morning, class,” she said. Her voice was clear, lightly accented with the softness of coastal Karnataka, but no slang, no regional flourish—just educated, urban English. “I’m Ms. Meera. We’ll be doing calculus this year. Let’s begin gently.”
She wrote on the board

Arjun didn’t hear the explanation. He was busy tracing the way her fingers held the chalk—long, nails trimmed, a thin gold ring on the right hand. The way her pallu slipped a fraction when she reached high, revealing the same waist curve, now from the side, a perfect hyperbolic tangent. The way the saree swayed when she walked between the benches to hand out graph sheets, the pleats whispering against each other like secrets.

Vikram nudged him. “Oi. You’re staring.”

Arjun blinked. “What?”

“You look like you’ve been hit by a truck. A purple truck.”

“Shut up.”

Ms. Meera was speaking. “…the derivative is simply the slope of the tangent at any point. Think of it as how fast something is changing. Like speed. Like heartbeat.”
Arjun’s heartbeat obeyed. It accelerated from 72 to 120 in the span of one sentence.
She drew a parabola. “y = x². At x = 1, the slope is…?”

Hands shot up. Rahul’s, Sneha’s. Arjun’s hand stayed down. He was calculating something else—the angle at which light hit the gold border and fractured into her collarbone. The radius of the arc her hip described when she turned. The velocity with which his sanity was leaving the building.

“Correct, Sneha. dy/dx = 2x. So at x = 1, slope is 2.”

She smiled. Not the wide, teacherly beam of Ramakrishna sir, but a small, private curve of lips, as if the equation had amused her. Arjun felt it in his knees.

The class progressed. Limits. Instantaneous rate of change. She moved like a metronome—three steps to the board, write, turn, explain, four steps to the first bench, check a notebook, back. Each motion economical, graceful. The saree never betrayed her; it simply followed, a loyal shadow.

Arjun’s notebook remained blank except for a single line he’d written without realising:
She is the curve I want to find the area under.
He underlined it three times.

Near the end, she assigned homework. “Page 47, exercises 1 to 10. We’ll discuss tomorrow. Any questions?”

Silence. Thirty-five teenagers suddenly fascinated by their shoes.

“Good.” She gathered her things. The bag was brown leather, worn at the corners. She slung it over one shoulder, and the pallu shifted again—just enough to reveal that waist curve one last time, the shadow deepening as she breathed. Then she walked to the door.

Arjun watched the saree cling to the twin swells of her backside as she moved, the fabric stretching, releasing, stretching again—like a tide that had learned geometry. The pleats fanned slightly with each step, then settled. The door closed behind her with a soft click.

The spell broke.

Vikram whistled low. “Bro. Ramakrishna sir just got upgraded.”

Rahul turned, eyes wide. “Did you see that waist? Like… like someone drew it with a French curve.”

Sneha rolled her eyes. “Pigs. She’s a teacher.”

Arjun said nothing. He was still staring at the empty doorway, replaying the way the purple silk had caught the light, the way her hips had described a perfect sine wave as she left.

The bell rang for the next period. Students surged toward the door, voices rising in a tide of gossip and hormones. Arjun stayed seated, notebook open to the blank page and the single underlined sentence.

Outside, in the corridor, Ms. Meera Krishnan paused to adjust her pallu, unaware that thirty-five futures had just tilted on their axes. She took a deep breath, smoothed the saree over her hip, and walked toward the staff room.

Inside 12-A, Arjun closed his notebook. The derivatives could wait.
He had a new function to study.
And the class had only just begun.

[readersp]

Superb!!! Wonderful usage of expressions!!! Keep rocking boss!!!

[shamson9571]

Next update on Monday

[Rockket Raja]

Excellent start

[krantikumar]

Good start

[PELURI]

juicy erotica on the envil...request quick updates plz..
...
keep the situations natural and convincing....emotional erotica is most appreciated....

[PELURI]

sam the author to make this story atleast worthy of somuch effort from him....without adequate erotica however, the story may not find wide acceptance...

[shamson9571]

Episode 2 – “Limits at Infinity”

The rest of the day after Meera’s first class passed like a dream Arjun wasn’t part of.

English period: Mrs. Nair read out some lesson; the words floated above Arjun’s head and dissolved.

Chemistry: the teacher demonstrated titration; Arjun saw only purple droplets falling into a conical flask shaped like a waist.

PT: he ran the 400-metre trial and came last, because every time he rounded the bend he imagined the curve of a hip instead of the track.

When the final bell rang, he drifted out of college like a sleepwalker. The usual chaos—bikes revving, girls giggling, ice-candy vendors shouting—felt muffled, underwater. He boarded the 201G bus, pressed his forehead against the cool window, and let the city blur past.

Bannerghatta Road. IIMB flyover. Dairy Circle.
None of it registered. Only one image looped behind his eyes: purple silk, gold border, a waist that dipped like the graph of y = 1/x—approaching zero but never quite touching.

At home, the smell of rasam and potato fry greeted him. His mother, Lakshmi, was stirring something on the stove, the end of her cotton saree tucked at her waist the way all mothers do.

“Arjun beta, wash your hands. Food is ready.”

He dropped his bag, went to the sink, let the water run longer than necessary.
Lakshmi watched him.

“What happened? You look like you lost your mark list.”

“Nothing, Amma.”

He sat, tore a piece of chapati, dipped it in dal, and stared at it as if it were an unsolved equation.

Lakshmi frowned. “You didn’t touch the video game also. Usually you fight with Akka for the TV remote. Today straight to room? Fever?”

“No fever.”

“Then?”

Arjun opened his mouth, closed it. How could he explain that a woman in a purple saree had walked into his life and rewritten every constant he thought he knew?
Lakshmi placed a hand on his forehead anyway.

“Tomorrow we have cousin Shruthi’s engagement in the city. We have to leave by eight. No college for you.”

The spoon slipped from Arjun’s fingers and clanged against the steel plate.

“What? Amma, no! Tomorrow is… we have maths portions to cover.”

“Maths will be there day after also. Family is important. Your father already took leave.”

“But Amma—”

“Arjun.” Her tone ended all debate. “Wear the cream kurta. And sleep early. We have to reach Palace Grounds by ten.”

He pushed his plate away, half the food untouched, and dragged himself to his room. The PlayStation glowed in the dark, inviting. He switched it on, loaded FIFA, chose Manchester United—and stared at the screen for twenty minutes without pressing a single button.

Messi ran in circles. Ronaldo celebrated a goal Arjun hadn’t scored.
He switched it off.

On the bed, he lay on his back, hands behind his head. The ceiling fan chopped the air into slow pieces.

Tomorrow I won’t see her.
The thought hurt more than failing a surprise test.
He closed his eyes and tried to summon yesterday’s image: the way she had written dy/dx, the small flick of her wrist, the tiny strand of hair that had escaped her bun and curled against her neck like a comma.

Sleep came late, restless, full of purple.

Next morning, the house was already loud with relatives.
Shruthi’s engagement was at a convention hall near Mehkri Circle—flowers, fairy lights, filter coffee in steel tumblers. Arjun wore the cream kurta, hair oiled and combed flat by his mother. He stood near the sweets counter, counting minutes.
His cousins found him.

“Arjun anna!” Little Neha tugged his sleeve.
“You look boring. Come, take selfie.”
Older cousin Rohit appeared with a plate of jalebi. “Macha, long time. Still single?”
Arjun shrugged.
Another cousin, Karthik, grinned.
“Class twelve, na? Must be having at least one girlfriend. Tell, tell—who is the lucky girl?”
The question was casual, tossed like a cricket ball.
Arjun opened his mouth to say “no one,” but the image that flashed was Meera leaning over the blackboard, purple pallu slipping a fraction, waist curve glowing.
His stomach flipped.

Girlfriend?

The word felt too small, too ordinary, for what he was beginning to feel. Yet the thought of calling her that—of holding her hand in a theatre, of texting good-night, of introducing her as “my girl”—sent a current through his veins sharper than Red Bull.

He swallowed. “No girlfriend.”

Rohit laughed. “Liar. Your face is red.”

“Global warming,” Arjun muttered.

They dragged him for photos, for dance, for more sweets. The function stretched—speeches, photo sessions, lunch, tea, more photos. By the time they piled back into the car, it was past eleven at night. Bangalore’s roads were empty, streetlights blinking yellow. Arjun pressed his face to the window again, counting hours until morning.

He reached home, brushed teeth, fell on the bed still in his kurta.
Tomorrow. I will see her tomorrow.

That single thought wrapped around him like a blanket. He slept smiling.
He woke to sunlight slicing through the curtains and the wall clock screaming 9:03 a.m.

For one confused second he thought it was Sunday. Then panic hit like cold water.

“Amma!” He bolted upright. “Why didn’t you wake me?”

Lakshmi appeared at the door, wiping her hands on a towel.
“Beta, you came so late yesterday. Let you sleep. One day rest won’t kill you.”

“One day? Amma, I have to go! Today is important!”

“Important how? Since when do you cry to go to college?” She laughed softly.

“Yesterday you were begging to skip.”

Arjun was already in the bathroom, toothbrush in mouth, shirt half-buttoned.

“Amma, please. I’m getting late.”

“Arjun, listen—”

“No, Amma, I’m fine. I’m going.” He spat, rinsed, grabbed his bag. “I’ll eat in the canteen.”

Lakshmi watched him sprint to the door, shoes in hand. “At least take idli parcel!”
“Bye, Amma!”

She stood in the doorway, puzzled.
“Ayyo, this boy… suddenly toppers’ disease?”

Arjun ran. He caught an auto, promised the driver extra twenty rupees for speed. The auto flew—Silk Board, Forum Mall, Hosur Road. He reached college at 9:27. Second period was ending in three minutes.

He took the stairs two at a time, tie flapping, bag bouncing on his back. Corridor empty. 12-A door closed. Through the glass panel he saw her.

Ms. Meera.

Same purple saree. Same low dbang. Same gold border catching the tube light like a secret. This time with a loose hair
She stood at the board, marker in hand, writing:
Slope of the tangent = lim (Δy/Δx) as Δx → 0
She underlined the word slope, turned slightly to address the class, and the saree shifted.
The pleats tightened across her backside, outlining the perfect, generous curve of her ass—two symmetrical parabolas meeting at the base of her spine. The fabric dipped into the small hollow above her tailbone, then rose again, smooth, endless, like the graph of y = x² rotated and made flesh.

Arjun froze at the door.
In his head, numbers danced.
If I consider the curve of her ass as a function f(x)… the slope at the point of maximum curvature…
He visualised the tangent line kissing that curve at exactly one point, the way a derivative kisses its function.
Instantaneous rate of change of my heartbeat: infinity.

Someone inside the class noticed him. Vikram waved frantically.
Arjun snapped out of the trance, knocked once, pushed the door.
“Excuse me, ma’am.”
Thirty-five heads turned. Meera lowered the marker. Her eyes—those wet-earth eyes—found him.
“Yes?”
Arjun stepped in, bag slipping from his shoulder. “I… I’m late.”
Meera raised an eyebrow.
“Very late. Name?”
He was still half-lost in the after-image of that curve. It took a second to remember language.

“Arjun. Arjun Rao. We had a family function last night… came home late…”
The bell rang—shrill, final. Students started packing.
Meera capped the marker. “Arjun Rao. See me after class tomorrow if this repeats. Go to your seat.”

He walked down the aisle, pulse loud in his ears. Vikram whispered, “Dude, where were you?”

Arjun didn’t answer. He reached his bench, dropped into the chair, and looked back at the front.

Meera was erasing the board. The saree stretched again as she reached high, revealing that same handspan of waist—smooth, glowing, the tiny fold above her navel moving like a slow integral sign.

She finished, picked up her books, and walked out without another glance.
The classroom exploded into noise—bags zipping, benches scbanging.
Arjun sat still, disappointment and joy fighting inside his chest like two opposite vectors.

Disappointment: he had missed the entire period.
Joy: he had seen her. Even for thirty seconds, he had seen her.

He exhaled, long and slow, and felt the disappointment melt.
Thirty seconds was enough.
Tomorrow he would have forty-five minutes.
Tomorrow the limit could approach infinity.
He smiled, packed his bag, and followed the crowd out—lighter, hungrier, and absolutely certain that calculus had never been this beautiful.

[shamson9571]

Episode 3 – Tangent Lines

The next morning Arjun reached college twenty minutes early.
He told himself it was because he wanted to finish the homework Meera had given on page 47.

The truth was simpler: he wanted to watch her walk in again, to see if yesterday’s purple miracle had been a dream or a theorem that would repeat.

He took the first bench, right under the fan, heart drumming louder than the blades.
Vikram slid in beside him, yawning.

“Macha, since when do you sit in the danger zone? Teacher can see your every move here.”

Arjun shrugged, eyes fixed on the door.
“Better view of the board.”
Vikram snorted. “Board, my foot.”

The bell rang. Students trickled in. The usual noise—bags zipping, someone humming Badshah, Sneha arguing about yesterday’s chemistry answer key.
Then the door opened.

Meera stepped in wearing a light-blue cotton saree the colour of a Bangalore winter sky just before rain.

The fabric was soft, almost weightless, printed with tiny white lotuses no bigger than a rupee coin.

It clung to her body the way gentle functions cling to their axes—neither too tight nor too loose, just enough to remind you they exist.

She greeted the class with the same quiet “Good morning” that somehow silenced thirty-five restless souls.

Today her hair was in a looser bun; a few strands had already escaped, curling against her cheek like stray integrals waiting to be evaluated.

She placed her bag on the table, turned to the board, and began writing.
Topic: Tangents and Normals

Equation of tangent to y = f(x) at (x₁, y₁) is…
She reached high to write the formula.

That was when it happened.
The pallu of her saree—light, disobedient cotton—slid off her left shoulder with the slow inevitability of a derivative approaching its limit.

It didn’t fall completely; it caught on the curve of her elbow, hanging there like a reluctant curtain refusing to close the show.

And there, for the first time, Arjun saw the shape of her breast.

Not naked—no.

The blouse was cream, same shade as yesterday, modest round neck, short sleeves.
But the cotton saree had shifted just enough to reveal the gentle, perfect swell of her left breast rising proudly against the fabric.
It was fuller than he had imagined in his fevered sketches—round, symmetrical, the soft weight pressing forward as though gravity itself had decided to be kind only to her.

The blouse cupped her like a loving integral, the stitching along the seam tracing the exact point where the curve began its ascent.

A single lotus print on the saree had settled right at the apex, as if the universe had placed a decimal point on the most beautiful coordinate he would ever plot.
She kept writing, unaware.

Her arm moved; the breast moved with it—slow, hypnotic, rising and falling with each breath.

The fabric stretched, relaxed, stretched again.
Arjun’s eyes traced the radius: from the soft shadow beneath to the point where the blouse met skin, a distance of maybe four inches, maybe forty light-years.
He felt his mouth go dry.

His pulse became a step function—zero, then suddenly infinite.
Meera turned slightly to address the class.

“So, the slope of the tangent is nothing but the derivative at that point. Yes, Rahul?”
Rahul was asking something about alternate forms.

Arjun heard nothing.
He was calculating.
If I approximate the curve of her breast as a circle… centre at… radius approximately…
He abandoned the circle.
Too crude.

It was more like y = √(r² – x²), the upper semicircle, but softer, warmer, alive.
She walked to the first bench—his bench—to collect yesterday’s homework.

The pallu still hadn’t returned to its proper place.
Now she was right above him, leaning forward to take Vikram’s book first.
From this angle the view was merciless.

The neckline of her blouse dipped just enough to reveal the shadowed valley between her breasts—two perfect parabolas meeting at a minimum he wanted to spend the rest of his life locating.

A thin gold chain disappeared into that valley, glinting whenever she breathed.
He could see the gentle rise of both now, the right one still half-hidden, playing coy, but the left one fully declared, proud, unapologetic.

She reached for his notebook.
Her fingers brushed his.

For one suspended second her breast hovered inches from his face—so close he could see the faint texture of cotton, the tiny thread that held the blouse together, the soft rise and fall like a slow tide.

“Thank you, Arjun,” she said, voice low, unaware that she had just handed him a lifetime supply of midnight fuel.

She straightened.
Only then did the pallu slide back into place, as if the universe had decided the preview was over.

But the image was burned into him now—high-resolution, permanent.

The rest of the period was a blur of equations he copied without seeing.
Meera spoke about point of contact, about how the tangent kisses the curve at exactly one point.

Arjun wrote in the margin of his book:
She is the curve.
I am the tangent.
And today we touched.
When the bell rang, students surged out.
Arjun stayed seated, pretending to pack slowly.
Meera was erasing the board.

He watched the way her body moved under the blue cotton, the way her breasts shifted with each stroke of the duster—left, right, left—like a slow cosine wave he could ride forever.

Vikram slapped his back. “Earth to Arjun. Lunch. Maggi. Move.”

Arjun stood up, legs unsteady.

He walked past the teacher’s table.

Meera turned, smiled politely. “Don’t forget to attempt the tangent problems at home.”

“Yes, ma’am,” he managed.

As he reached the door, he glanced back one last time.
She was adjusting her pallu properly now, fingers smoothing the fabric over the very curve she had unknowingly revealed.

The cotton settled back into place, hiding the treasure again.
But Arjun had already memorised the equation.
He had the slope.
He had the point of contact.
And tonight, when the lights were off and the house asleep, he would differentiate that curve a thousand times until the numbers dissolved into soft blue cotton and the sound of her breath.

He stepped into the corridor, the bell for lunch ringing somewhere far away.
The tangent had kissed the curve.
And calculus had never felt this close to god.

[roy.rahul6996b]

excellent update ......please continue

[Saj890]

Very nice

[readersp]

Amazing..

[Rajjohnson.]

Eagerly waiting for you

[shamson9571]

Episode 4 – Asymptotes

Arjun barely slept that night.

The ceiling fan in his room whirred like a faulty differential equation, chopping the darkness into uneven slices. He lay on his back, shirtless in the humid Bangalore air, one arm thrown over his eyes as if that could block the image.

But it didn't.
The light-blue cotton, the pallu in mid-slide, the swell of her left breast rising like a defiant y = e^x—unbounded, infinite, always approaching but never quite touching the asymptote of his sanity.

He had touched himself twice before midnight, each time slower, more reverent, imagining his fingers as the tangent line kissing that curve at precisely one point.
The release came in waves, but the hunger didn't ebb.

It asymptoted—got closer and closer to satisfaction without ever reaching it.
By morning, he was a wreck.

Dark circles under his eyes, hair uncombed, uniform shirt half-tucked. Lakshmi noticed over breakfast—idli and sambar steaming on the steel plate.

"Beta, you look like you solved the entire JEE paper last night. Eyes redder than chilli powder. Study too much?"

Arjun mumbled something about derivatives keeping him up.
She laughed, ruffling his hair.
"Arre, maths is not a girlfriend to lose sleep over. Eat properly."
If only she knew.
Maths wasn't the problem.
Maths was the priestess.

He reached college early again—fifteen minutes this time, enough to claim the first bench without Vikram's teasing. The classroom was still empty, sunlight slanting through the windows in golden rods that dust motes danced around like lazy electrons.

Arjun pulled out his notebook, stared at the margin doodle from yesterday: a crude sketch of a breast, labelled f(x) = √(1 - x²), the upper hemisphere of a unit circle.
He added a note: Asymptote: unreality.

Because no matter how many times he traced it, the real thing remained forever out of reach—approaching, teasing, but never intersecting.

The class filled slowly. Rahul arrived with a half-eaten banana, waxing poetic about some IPL rumour. Sneha followed, nose in her physics guide, muttering about centripetal force. Vikram last, as always, collapsing into the seat beside Arjun with a groan.

"Bro, you look like death warmed over. What, Meera ma'am give you extra homework or extra something else?" He waggled his eyebrows.

Arjun shot him a glare that could curdle milk. "Shut up and open your book."

Vikram chuckled but obeyed, flipping to the chapter on tangents.
"Fine, fine. But seriously, since she came, you're like a man possessed. Possessed by pi or something."

The bell rang.
The door opened.
And Meera entered, carrying the weight of another day like it was nothing more than a differential form.

Today, she wore something different—a mustard-yellow chudidar kameez with a matching chunni dbangd over her shoulders like a gentle shawl. The fabric was soft cotton, the kameez fitted just enough to follow the lines of her body without apology, flaring slightly at the hips before meeting the slim churidar pants that hugged her legs like a second skin. The colour shimmered like sunlight on the Cauvery—warm, inviting, a refreshing change from the sarees that had become his daily sacrament. No pleats whispering secrets today; instead, the outfit moved with her like a fluid equation, practical yet poetic, making her look younger, more approachable, like a theorem he might one day solve.

Arjun's breath caught. It was refreshing—her in this attire, the chunni adding a layer of modesty that only heightened the mystery beneath. She greeted the class with the same quiet “Good morning” that somehow silenced thirty-five restless souls. Today her hair was in a high ponytail, swinging like a pendulum against her back—each step a tick, each sway a tock, marking the inexorable approach of asymptote.

"Good morning, class," she said, her voice a gentle limit as x approaches calm. "Today we move to asymptotes. The lines that functions flirt with but never quite embrace."
She smiled at the board, chalk in hand, and began writing:
Horizontal Asymptote: lim (x→∞) f(x) = L
The curve gets closer... but never touches.
Arjun's pen froze mid-note.
Flirt but never embrace.
Was that a sign? A theorem written just for him?

He watched her arm extend, the yellow cotton catching the light, the chunni shifting slightly but holding firm. The outline of her form beneath—smooth, unblemished—faded back into focus as she lowered her hand.

She paced as she explained, three steps left, pause, gesture with the chalk like a conductor summoning symphonies from silence.
"Think of it like the graph of y = 1/x. As x goes to infinity, y approaches zero. So close to the x-axis... tantalisingly near. But they never meet."

She drew it swiftly—two axes, the hyperbola swooping in from the first quadrant, tailing off toward the origin from the other side, forever chasing that forbidden line.

Rahul raised his hand. "Ma'am, but why? Why not just touch?"
Meera turned, braid swinging. "Because some things are defined by their distance, Rahul. The beauty is in the chase."

Arjun swallowed hard.
His throat felt like sandpaper.
The beauty is in the chase.
He chased her with his eyes, cataloguing: the way the chudidar dbangd over her waist, remembering the shadow from Day One; the subtle shift across her hips, echoing the parabolic promise of her backside; and now, layered over yesterday's revelation, the faint suggestion of breasts beneath—two soft hills under the fabric, rising gently with each word, guarded by the chunni like a dashed line on a graph.

Midway through the explanation, as she gestured emphatically toward the board—"See here, the vertical asymptote at x=0, where the function shoots to infinity"—the chunni slipped from her right shoulder. It didn't fall completely; it caught on her elbow, hanging there like a reluctant curtain refusing to close the show.
And there, for the first time in this new light, Arjun saw the unfiltered curve of her breasts.

The chudidar couldn't hide it—no.
The cotton was fitted, hugging the swell like a loving integral, the stitching along the seam tracing the exact point where the curves began their ascent. They were fuller than he had imagined in his fevered sketches—round, symmetrical, the soft weight pressing forward as though gravity itself had decided to be kind only to her. The swell over the chudidar was extremely erotic to watch, the fabric stretching taut across the peaks, outlining two perfect parabolas that met at the centre in a shadowed valley. He couldn't believe she had the perfect curve etched into the dress, visible even through the modest neckline—a semicircle of desire, rising and falling with her breath like a slow cosine wave he could ride forever.

Arjun's eyes traced the radius: from the soft shadow beneath to the point where the cotton met skin, a distance of maybe four inches, maybe forty light-years.
He so wanted to calculate the dimensions of it—the volume of those spheres, perhaps using the formula for a solid of revolution, rotating y = √(r² - x²) around the x-axis to find the integral that captured their fullness; the surface area, smooth and unyielding under his imagined touch. His pulse became a step function—zero, then suddenly infinite. He had an extreme itch to know how it feels to hold them, to integrate his palms over that curve, finding the area enclosed by fabric and flesh.
The class leaned in, notebooks scratching like a chorus of approvals. Sneha scribbled furiously; Vikram doodled a stick-figure hyperbola with googly eyes. Arjun wrote nothing. He was too busy plotting his own graph: Meera as the hyperbola, himself as the x-axis—eternally pursued, eternally denied. Lost in these thoughts, the bell rang—shrill, final—snapping him back as the class finished in a surge of noise.

Meera gathered her things, adjusting the chunni back over her shoulder with a casual flick, and walked out toward the staff room. Arjun watched her go, the ponytail swaying, the chudidar hugging her form like an equation solved.
In the staff room, the air was thick with the scent of filter coffee and old textbooks. Meera settled at her desk, marking papers, when Mrs. Nair, the senior history teacher, bustled in with a bright smile.

"Meera dear, perfect timing! Look who's back from leave—Priya! Priya Menon, our English teacher. She's been out with a bad cold for a week. Priya, this is Ms. Meera Krishnan, our new maths wizard from St. Joseph’s."

Priya turned, a woman in her late twenties with short, wavy hair, a mischievous grin, and a red salwar kameez that screamed energy. She was funny and talkative, her eyes sparkling like plot twists in a novel.

"Oh my god, finally! I've heard so much about you already—apparently, you've got the 12th graders actually paying attention to calculus? That's witchcraft, not teaching!" She laughed, a warm, infectious sound that filled the room like punctuation marks in a lively sentence.

Meera blushed, extending a hand. "Nice to meet you, Priya. I've heard you're the one who makes Shakespeare fun. How was the leave?"

Priya shook her hand firmly, plopping down on the chair beside her.
"Fun? Ha! I was buried under blankets, bingeing Netflix and coughing like a Victorian heroine. But tell me about you—coastal Karnataka accent? Mangalore? Udupi? Spill!"

They chatted easily—about Bangalore traffic, the best idli spots in Koramangala, how college politics was worse than Game of Thrones. Priya cracked jokes about the principal's cassock looking like a ghost costume, and Meera laughed, her shyness melting. They quickly became friends, swapping numbers before Priya glanced at the clock.
"Oops, my 10th graders await. Romeo and Juliet won't teach themselves. See you at lunch, Meera!"

Priya proceeded to her classes, leaving Meera smiling at her desk.
Evening came, the final bell echoing through empty corridors. Classes finished, everyone left in a rush of bikes and chatter. Meera was stuck on some work in the staff room—grading extra asymptote problems, her chunni dbangd loosely now in the quiet heat. Arjun lingered alone in the classroom, pretending to solve equations but really tracing breast curves in his notebook, thoughts asymptoting toward her endlessly.

Priya was in one of the classes doing her work late—marking essays on Macbeth—and when she finished, she slung her bag over her shoulder. As she passed the staff room, she saw Meera packing up and getting ready to leave.
"Hey, new bestie! Still here? Walk with me to parking?"

Meera smiled, gathering her files. "Sure, Priya. Just finishing up." At the same time, Arjun packed up in the classroom, heart heavy with unsolved desires, and headed out.

Meera and Priya walked together, talking animatedly—Priya recounting a hilarious student mix-up with "to be or not to be," Meera sharing her first-day jitters. They reached the parking place, the evening sun casting long shadows over scooters and bikes. During their conversation, a small wind gusted through, playful and insistent, tugging Meera's chunni off her right shoulder one side. It slipped down, exposing the fitted curve of her kameez.

That's when Priya noticed. Her eyes widened, and she grinned wickedly. "Omg, you got beautiful curvy breasts under there!" Before Meera could react, Priya gave a little slap to the boob—a light, teasing tap that made it jiggle for a second, the cotton rippling like a wave function disturbed.

Meera gasped, laughing as she pulled the chunni back up. "Stop it, Priya! You're crazy!" She swatted her friend's arm playfully, cheeks flushing, but the moment passed in giggles.

Both of them didn't know that Arjun was just coming out of the college when they were talking in the parking place. He witnessed it all—the wind's betrayal, the slip of the chunni, Priya's words hanging in the air like an undefined limit, and then the slap. The view froze him: Meera's breast under the mustard-yellow cotton, the curve he had worshipped all morning, now disturbed into a brief, hypnotic jiggle—like a parabola perturbed by an external force, oscillating back to equilibrium in slow motion. The swell bounced once, twice, the fabric stretching and releasing in a perfect damped harmonic motion, the radius he had calculated earlier now alive, dynamic, begging for integration. His thoughts raced: If I model that jiggle as y = A e^{-bt} cos(ωt), the amplitude A capturing the fullness, the decay b the fabric's resistance... god, the dimensions, the feel—soft yet firm, like the volume under a rotated semicircle, infinite in its finite perfection. Extreme excitement surged through him, an instant erection straining against his pants like a vector shooting to infinity, his body a step function jumping from zero to unbearable. He couldn't move an inch, rooted like a fixed point in a chaotic system, watching the two women laugh it off.

Priya and Meera mounted their scooties, engines buzzing to life, and zipped away into the traffic, unaware of the witness. But Arjun couldn't move an inch. The image and the scene had etched in his memory—the slap, the jiggle, the curve's defiant bounce—like a theorem proven in flesh. He stood there until the sun dipped lower, then finally dragged himself home, thoughts asymptoting toward that moment forever, satisfaction approaching but never quite touching.

[PELURI]

Hello friends 
This is a 40 episode story of a teacher and student and their primarily revolving around their life incidents. Join me on a fun and erotic journey

Bro Sham....your concepts are highly promising...the narration is lucid and gripping ...sexual tension, essential for good erotica too floats but the incidenta do not culminate to erotic experience....slow fire built up actually accentuates the experience....but experience should be there as well....my humble suggestion

[PELURI]

the pics of meera are beautiful...on the first day, she's well slim n  proportioned but became bulky...keep her even .....

[shamson9571]

Bro Sham....your concepts are highly promising...the narration is lucid and gripping ...sexual tension, essential for good erotica too floats but the incidenta do not culminate to erotic experience....slow fire built up actually accentuates the experience....but experience should be there as well....my humble suggestion

Thanks for your feedback bro

Sure the experience will definitely be there....first few episodes is where the tension builds....thats why I'm going slow.....in later episodes you would know the reason....

[shamson9571]

Episode 5 – Chain Rule

Arjun's auto-rickshaw rattled down Hosur Road like a malfunctioning integral, bumping over potholes that jolted his body but did nothing to dislodge the image etched into his mind. The parking lot scene replayed in an endless loop: the gust of wind, Priya's playful slap, the mustard-yellow cotton rippling as Meera's breast jiggled—once, twice—like a damped oscillation settling back into equilibrium, the amplitude fading but the frequency of his arousal spiking to infinity. He shifted in the seat, the erection from earlier now a persistent throb, pressing against the seam of his trousers like a vector refusing to zero out. The driver glanced back in the rearview mirror, eyebrow raised at the boy's flushed face and clenched fists.

"Anna, AC problem? Face red like tomato biryani."

Arjun mumbled a no, staring out at the blurring neon signs of Forum Mall. How could he explain? That single slap had been a perturbation, a delta x in the function of her form, sending ripples through the curve he had only begun to map. The jiggle—god, the jiggle—had transformed his crude sketches into something alive, dynamic, a second-order differential equation where the restoring force was her body's own gravity, pulling everything back to that perfect, symmetric rest. He wanted to compute it all: the natural frequency ω = √(k/m), where k was the elasticity of cotton and m the mass of her breast, heavy yet buoyant, full yet firm. His mouth watered even now, an involuntary response, as if his tongue could taste the talc-dusted skin beneath.

The auto pulled up to his gate, the engine coughing to a stop. Lakshmi was in the pooja room, the air thick with agarbatti smoke and the faint chime of a bell. She emerged as he paid the driver, wiping her hands on her cotton saree.

"Arjun beta, late again? college bus missed? Come, dinner's hot—masala dosa with coconut chutney, your favourite."

He nodded absently, kicking off his shoes in the verandah. The house smelled of home: ghee-tempered dal, the distant hum of the pressure cooker from last night's rice. But tonight, it all tasted like asymptote—close to comfort, but forever barred by the hyperbola of his thoughts. He dropped his bag by the sofa, where his father snored over the Kannada news channel, and headed to the washbasin. Lakshmi followed, peering at his reflection in the steel plate hung crookedly on the wall.

"Beta, what's wrong? Face like you lost the entire cricket match. Exam tension? Or that girl from tuition—"

"Nothing, Amma," he cut her off, splashing water harder than needed, the cold shock doing little to douse the fire. Girl? If only. Meera wasn't a girl; she was the chain rule incarnate, a composite function where every layer multiplied his derivative by another order of magnitude.

Lakshmi sighed, the sound of a mother who knew better but wouldn't push. "Eat first, talk later. Dosa getting cold."

Dinner was a ritual he performed on autopilot: tearing the crisp dosa, dipping into chutney that burned his tongue without registering, swallowing rice that stuck in his throat like unsolved limits. Lakshmi chattered about cousin Shruthi's wedding shopping, the rising price of gold, how his father needed new spectacles. Arjun nodded at intervals, eyes fixed on his steel plate, tracing the rim's ellipse as if it were the border of her blouse. The slap echoed in his ears—Priya's laugh, Meera's gasp, the soft thwack that set the curve in motion. He imagined his own hand there, not teasing but claiming, fingers curling to integrate the volume, to find the antiderivative of her sigh.

"Arjun? Beta, you heard me? Tomorrow early breakfast—oats for your brain, IIT calling."

"Yes, Amma." He pushed the plate away half-finished, appetite asymptoting to zero. "Tired. Good night."

In his room, the fan whirred lazily, stirring posters of Sachin Tendulkar and faded IIT blueprints. He stripped to his boxers, flopped onto the bed, the cotton sheet cool against his fevered skin. Sleep? Impossible. The image assaulted him: the jiggle, the bounce, the way the fabric had clung post-impact, outlining the peak like a maximum in a quadratic. His hand moved of its own accord, slow at first, tracing the chain rule of his own body—outer function arousal, inner function memory—differentiating layer by layer until the product rule broke him open. He came with a muffled gasp, spilling onto the sheet like an overflow error, the release sharp but incomplete, leaving him hollow, hungry for the real variable. Priya's slap had been a catalyst; now he craved the reaction, the full equation solved in her arms.

He lay there panting, staring at the ceiling cracks like fault lines in his resolve. Tomorrow, he vowed. Tomorrow, he'd find a way closer. Impress her. Connect. The itch was unbearable—not just physical, but existential, a singularity pulling him toward her event horizon.

Morning came with the azan from the distant mosque blending into the temple bells down the lane, a harmonic series of faith and routine. Arjun was up before the alarm, gulping oats that tasted like cardboard, his mind a differential machine churning strategies. How to get closer? Extra questions in class, maybe volunteer for homework duty. Impress her with a clever proof, something beyond the syllabus—a chain rule application to real life, like velocity of falling in love. He itched for connection, not just glimpses but conversation, her voice wrapping around him like a substitution u = desire, du/dx = endless. The auto ride blurred past; he arrived at college gates with twenty minutes to spare, claiming the first bench like a pilgrim's spot.

The classroom filled with the usual symphony: Rahul's cricket updates, Sneha's sighs over organic reactions, Vikram's gum-chewing orchestra. Arjun opened his notebook, doodling chain links—not metal, but curves interlocking, each loop a breast swell feeding into the next.

The bell tolled. The door sighed open.
Meera entered, and the air thickened like honey in a gradient. Back to the saree today—an orange georgette that burned like Diwali flames, the colour of ripening mangoes kissed by equatorial sun. The blouse matched, a deeper saffron, three-quarter sleeves modest as a theorem's proof, neckline high but hinting at the treasures below. Her hair was in a loose bun, careless genius allowing a few strands to escape, curling like question marks against her neck. Nothing exposed—no slips, no shifts—just pure, dbangd elegance, the pallu pinned securely, pleats falling in precise folds like the steps of a recursive function. She moved to the desk with the grace of a limit approaching continuity, placing her bag with a soft thud that echoed in Arjun's chest.

"Good morning, class," she said, voice steady as the x-axis. "Today, chain rule. The derivative of composites—because life, like functions, is layered. f(g(x)), remember? Multiply the outer by the inner's slope."

She turned to the board, chalk whispering: d/dx [f(g(x))] = f'(g(x)) · g'(x). The class leaned in, unusually serious—her presence a gravitational pull, bending attention toward her orbit. Sneha's pen flew; even Rahul abandoned his doodles. Arjun focused too, genuinely now, solving sums with a fervor born of strategy. The problems unspooled: differentiate sin(x²), ln(cos(3x))—each one a puzzle he cracked, his mind substituting u = inner torment, du = glimpses denied.

Halfway through, a sum stumped him—not truly, but enough for pretext. He raised his hand, voice steady despite the tremor in his veins.

"Ma'am, this one—e^{sin x}. I tried integration by parts backward, but chain rule feels off. Can we do it with substitution first?"

Meera paused, chalk mid-air, her wet-earth eyes scanning his notebook as he passed it forward. She traced the steps, brow furrowing like a gentle integral sign. The class watched, a rare silence.
"Interesting approach, Arjun. Substitution could work, but... let me think." Seconds stretched—five, ten—like a limit at discontinuity. She bit her lip, a fleeting curve that sent his pulse into overdrive.
"I have an old note on this, from my grad days. A quicker way. Visit me in the staff room after this period? We'll check together."

Arjun's world inverted. Out of the blue, a portal—staff room, alone(ish), her notes, her explanation. A chance not just to impress but to linger, to breathe the same air, to forge that special connection he craved. His heart differentiated exponentially: dH/dt = k * proximity, k infinite.
"Yes, ma'am. Thank you."

She smiled—small, approving, the curve of her lips a minor arc that majorly undid him. The rest of the period blurred: more sums, her voice weaving through composites like thread through warp. The bell rang, a liberation and a tease. Meera gathered her things, orange georgette whispering farewells, and left without a backward glance that might have killed him.

Physics followed—D’Souza droning on electromagnetism, fields and forces that paled against her magnetic pull. Arjun scribbled equations but saw only orange folds, the loose bun's promise of unraveling. Chemistry next: titration curves that mocked him, pH asymptoting to neutrality while his desire spiked alkaline. Two periods stretched like improper integrals, infinite in agony.

Vikram nudged him twice—"Bro, you vibrating? Like a tuning fork?"—but Arjun waved him off, clock-watching with the desperation of a man counting seconds to salvation.

Finally, the interval bell—a shrill mercy. He bolted, bag forgotten, weaving through corridors alive with canteen queues and gossip clusters. The staff room door loomed, half-open, spilling the scent of Nescafe and newsprint. He knocked lightly, heart hammering like a Fourier series resolving to chaos.

"Come in, Arjun." Meera's voice, warm as the orange hue she wore.
She sat at a cluttered desk, papers fanned like a delta function, but stood as he entered, gesturing to the chair beside her. The room was empty save for a distant murmur from Mrs. Nair's radio. Up close, her jasmine lingered, mingling with the faint chalk dust on her fingers.

"Your method—clever, but let's see the note."
She rummaged drawers first, rifling through files labelled "JEE '22," "Integrals Backup." "I think I have one solution here... ah, no. Wait—top shelf. Old grad notes, dusty but gold." She moved to the bookshelf—a towering relic of warped plywood, crammed with NCERTs and dog-eared tomes. The top shelf taunted, just above her reach, a vertical asymptote of inaccessibility.

She stretched, arms rising like vectors to infinity, toes perhaps lifting in her chappals. The orange saree obeyed physics reluctantly: the pallu, pinned though it was, shifted leftward in the pull, sliding a fraction across her shoulder. And there—god, there—it revealed her left breast, cupped in the saffron blouse, the fabric taut against the swell.

Arjun couldn't believe his luck. He felt so fortunate, a chosen variable in her equation, witnessing Meera in this erotic pose: arms extended, body elongated like a catenary curve under tension, the breast thrust forward, a perfect sphere perched on the flat midriff surface below. No sag, no imperfection—just pure geometry, the hemisphere defined by r = constant, surface area 2πr h where h was the blouse's merciful constraint, volume (4/3)πr³ begging to be computed, integrated over his gaze. It rose proud, nipple's shadow a subtle dimple at the pole, the blouse's weave etching faint lines like latitude on an orange globe. His mouth watered, saliva pooling unbidden, as if tasting the salt of her skin; his hands itched to measure, to cup and confirm the radius, fingers as calipers tracing the great circle.

She rummaged blindly, fingers questing amid spines: "Calculus Vol II... no... ah, almost." Her body arched further, midriff pulling taut, and now the real tease began. The saree pleats, tucked low at her waist that first-day handspan, began loosening—inch by torturous inch. Gravity conspired, the georgette sliding downward in a slow unravel, the tuck at her hip giving way like a limit dissolving. Arjun's mouth hung open, breath suspended, watching the fabric creep: one inch, revealing more midriff glow; two, the shadow deepening; three, the pleats fanning loose, approaching the sacred dip.

He leaned forward unconsciously, eyes locked on the waistband's descent, eagerly waiting for the saree pleats to come down fully and reveal her navel—that oval zero he had glimpsed once in chiffon tease, now so close to unveiling. It was just coming down and down, the orange edge brushing the tip of her navel, the fabric's hem kissing the upper rim like a tangent grazing its curve. One more inch—one more eternal second—and it would part, exposing the deep, round concavity, the elliptical basin he dreamed of filling with his gaze, computing its eccentricity, integrating its depth like ∫ from 0 to ∞ of 1/(1+x²) dx = π/2, infinite in finite beauty.
But then—she found it. "Yes! Here." Her fingers closed on a slim notebook, blue cover faded. She lowered her arms, the pallu snapping back like a rubber band function, and in one fluid twist, she adjusted the pleats—tucking them secure, the navel forever barred, the reveal aborted at the precipice.

Arjun exhaled, a deflating balloon. Disappointment crashed like a wave function collapsing—deep, visceral, a curse on his luck. One moment late, one cosmic delay in her search, and he would have seen it: the navel in full, unhurried glory, not a wind-whisper but a deliberate descent. He cursed silently—god, fate, the shelf's height—kicking himself internally for not distracting her, for not breathing louder to prolong the stretch. Why now? Why tease the limit and yank it away?

Meera turned, oblivious, notebook in hand, and sat beside him—close enough for her sleeve to brush his arm, sending sparks like static discharge. "See here, Arjun. Your substitution works if we chain it properly: let u = sin x, du = cos x dx, then d/dx e^u = e^u * du/dx. Elegant, no?" She sketched it out, her handwriting looping like her bun's strands, explaining with that coastal lilt—soft, patient, turning the sum into poetry. He nodded, half-listening, mind replaying the stretch: breast sphere, pleats' crawl, the almost-navel like a partial fraction decomposed but unresolved.

"Got it?" she asked, eyes meeting his—concern flickering, as if sensing his distraction.

"Yes, ma'am. Thank you." He stood too quickly, chair scbanging like regret. "Brilliant."
She smiled again, that curve. "You're quick, Arjun. Keep questioning like this." He left the staff room in a haze, the notebook's solution secondary to the unsolved tease. Back in class, he slumped at his bench, mixed ecstasy and agony churning: lucky beyond measure for the pose—the stretch, the reveal of breast in isolation, erotic as a standalone integral; unlucky to the bone for the navel's evasion, that one moment's delay a divine prank. He cursed god under his breath—one second, bas one second—kicking the desk leg until Vikram shot him a look. Why me? Why show the sphere but hide the center?