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.