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.

New in 1.5: 3D! 3D graphing: surfaces z = f(x, y), curves (x(t), y(t), z(t)), parametric surfaces and implicit shapes like x² + y² + z² = 9. Turn, zoom, tap a point to read coordinates and partial derivatives, and drag sliders a, b, c. 13 new 3D stages: shape planes, bowls, saddles, waves, helix rails and a spiral staircase, then walk your own graph to the goal. Touch, keyboard and controller support.