1st Principle Graph Calculator

First Principles is an educational 2D platformer where you walk on mathematical curves. The derivative decides where

platforms exist — positive slope means solid ground, negative slope means gaps you must jump across.

WHAT YOU'LL LEARN

• Derivatives, integrals, and Riemann sums

• Taylor/Maclaurin series (e^x, sin x, cos x)

• Polar coordinates (cardioids, roses, logarithmic spirals)

• AP Calculus BC topics (logistic growth, arctan, implicit differentiation)

• AP Physics C (projectile motion, angular momentum, exponential decay)

• Aerospace engineering (lift vs alpha, drag polars, atmospheric density)

• Chaos theory (Lorenz attractor), fractals (Mandelbrot set)

• Big O notation (O(1) through O(2^n))

• Economics (dot-com bubble, 2008 crisis — stylized teaching curves)

• Fourier and Laplace transforms

60+ LEVELS across 11 categories

From gentle parabolas to a Mandelbrot fractal finale. Each level teaches a real concept through gameplay — not

flashcards.

FEATURES

• Walk on f(x), jump where f'(x) drops — feel calculus physically

• Built-in graphing calculator mode with pinch-zoom and transform sliders

• Full LaTeX equation display for every level

• Derivative air-jump mechanic — graze the f'(x) line for a mid-air boost

• Stage transitions with educational story cards

• 14 languages supported

• Per-category background music

• Math tips and concept articles built in

WHO IT'S FOR

• AP Calculus AB/BC and Physics C students

• University STEM learners

• Anyone curious about math, from high school to grad school

• Teachers looking for a visual, interactive supplement

Built with Unity 6.