AMI GROUP 2-1 power point presentation pptx

focusing on root-finding techniques and numerical solutions of ordinary differential equations (ODEs).
The work utilizes concepts from algorithm development, control structures, programming fundamentals, and data visualization (Modules 1–4). Recursive programming replaces iterative loops by allow...

focusing on root-finding techniques and numerical solutions of ordinary differential equations (ODEs).
The work utilizes concepts from algorithm development, control structures, programming fundamentals, and data visualization (Modules 1–4). Recursive programming replaces iterative loops by allowing functions to call themselves repeatedly until a stopping Algorithm development involves defining step-by-step procedures to solve computational problems. Control structures like loops, conditionals, and recursion govern how these steps are executed.
Recursive algorithms are elegant and rely on a base case (termination) and recursive case (self-call with updated parameters).
In this report, recursion replaces for/while loops to implement numerical approximation The wind carried the scent of rain long before the first drop touched the ground. A gray hush had settled over the valley, stretching from the silver river that wound like a lazy serpent to the far hills where the forest met the sky. Liora stood at the edge of the path, her boots half buried in wet leaves, staring toward the horizon as if the storm itself had whispered her name.

She had walked since dawn, guided by an old map drawn in a hand that trembled from memory. It wasn’t the kind of map that led to gold or glory. It led instead to something quieter—something forgotten. Her grandmother had spoken of a house at the end of the river, where the walls still remembered laughter and a single lamp burned no matter how many years passed. “Follow the sound of the bells,” her grandmother had said. “Even when there’s no wind.”

The first raindrop struck her cheek, warm and clean. Then another. Soon the sky opened in a downpour that washed the dust from her cloak and made the trees shimmer like mirrors. Liora didn’t run. She lifted her face to the storm and smiled. Somewhere in the distance, she could hear it—the faint ringing of a bell, soft as breath and steady as time.

She crossed the river at a shallow bend, the water swirling around her ankles, cold enough to make her bones ache. On the opposite bank, a single path climbed toward the forest’s heart. The trees grew denser there, old trunks gnarled and twisted like the fingers of giants. Every step she took sank deep into the moss, releasing the earthy scent of decay and renewal.

As twilight approached, the storm began to fade. The world turned blue and silver, and fireflies appeared in slow, shimmering waves. Then, through the shifting mist, she saw it—a house built of stone and ivy, small enough to vanish if she blinked too long. In the window, a lantern flickered.

Liora hesitated, her hand hovering over the gate. The air felt heavy with memory. She could almost hear the echo of voices, laughter tangled with sorrow. Taking a breath, she pushed the gate open. It creaked softly, like something waking from a long sleep.

Inside, everything was still. Dust drifted through the air in pale beams of light. On a table near the window lay a single