Derivative

Slopes reveal the path ahead,

Tangents guide where numbers tread,

AI learns at a changing rate,

Adjusting fast to calculate.

Curves and functions, smooth or steep,

Finding trends where patterns keep,

Velocity shifts, the data transforms,

Predicting outcomes, breaking norms.

Limits approach, yet growth won’t cease,

Math and AI in the perfect piece,

Rate of change, so quick and keen,

Driving progress, yet unseen.

Algorithm

Steps unfold, a sequence precise, 

Logic loops in ordered advice,

From one to the next, in a structured way,

Guiding AI through night and day.

Variables shift, conditions apply,

Sorting through data, letting it fly,

If-then paths, a branching tree,

Building intelligence endlessly.

Math and machine, a coded embrace,

Patterns evolve at a lightning pace,

From primes to sums, from loss to win,

Algorithms shape the world within.

Optimisation

Numbers align, equations in flow,

Finding the max where values grow,

AI refines with logic so tight,

Minimizing error, perfecting the sight.

Patterns emerge from data’s deep sea,

Limits approach where functions decree,

The gradient climbs, steep or slight,

Guiding machines to calculate right.

From calculus roots to models so grand,

Math and AI go hand in hand,

Solving the puzzles, breaking the wall,

Numbers and learning, predicting it all.