THE AP CALCULUS BC RPG

Sail past the horizon.
Sum the infinite.

Everything in the AB Isles — plus the deep water: parametric currents, polar tides, and an archipelago of infinite series. All 10 units and 111 topics of AP Calculus BC.

Play free

\sum_{n = 0}^{\infty} \frac{x ^{n}}{n !} = e^{x}

∇

lim_{n \to \infty} \frac{a _{n + 1}}{a _{n}} < 1

∇

\int u d v = uv - \int v d u

∇

L = \int_{a}^{b} 1 + (f^{'} (x))^{2} d x

∇

A = \frac{1}{2} \int_{α}^{β} r^{2} d θ

∇

\frac{d y}{d x} = \frac{d y / d t}{d x / d t}

∇

\frac{d P}{d t} = k P (1 - \frac{P}{L})

∇

\sum_{n = 1}^{\infty} \frac{1}{n ^{p}} converges ⟺ p > 1

∇

f (x) \approx \sum_{n = 0}^{N} \frac{f ^{(n)} ( a )}{n !} (x - a)^{n}

∇

\int_{1}^{\infty} \frac{1}{x ^{2}} d x = 1

∇

\sum_{n = 0}^{\infty} \frac{x ^{n}}{n !} = e^{x}

∇

lim_{n \to \infty} \frac{a _{n + 1}}{a _{n}} < 1

∇

\int u d v = uv - \int v d u

∇

L = \int_{a}^{b} 1 + (f^{'} (x))^{2} d x

∇

A = \frac{1}{2} \int_{α}^{β} r^{2} d θ

∇

\frac{d y}{d x} = \frac{d y / d t}{d x / d t}

∇

\frac{d P}{d t} = k P (1 - \frac{P}{L})

∇

\sum_{n = 1}^{\infty} \frac{1}{n ^{p}} converges ⟺ p > 1

∇

f (x) \approx \sum_{n = 0}^{N} \frac{f ^{(n)} ( a )}{n !} (x - a)^{n}

∇

\int_{1}^{\infty} \frac{1}{x ^{2}} d x = 1

∇

zones

AB's eight + two beyond the horizon

111

topics

the entire BC curriculum

∞

questions

generated from a seed, machine-verified

forever

no ads, no gems, no battle pass

// WORLD MAP

Ten zones. The AB Isles, then the deep water.

Fracture Shore

Limits & Continuity

16 topics · §1.1–§1.16

Velocity Dunes

Defining the Derivative

10 topics · §2.1–§2.10

Chain Jungle

Chain, Implicit & Inverse

6 topics · §3.1–§3.6

Motion Canyon

Contextual Applications

7 topics · §4.1–§4.7

Summit Peaks

Analytical Applications

12 topics · §5.1–§5.12

Accumulation Delta

Integration & Accumulation

14 topics · §6.1–§6.14

Slopefield Steppes

Differential Equations

9 topics · §7.1–§7.9

Volume Isles

Applications of Integration

13 topics · §8.1–§8.13

Vector Straits

Parametric, Polar & Vector

9 topics · §9.1–§9.9

Infinite Archipelago

Infinite Sequences & Series

15 topics · §10.1–§10.15

Each zone ends in a boss: 8 mixed questions, 6 to pass, retries free.

// MASTERY

Bronze is easy.
Radiant is earned.

Mastery is tracked per topic, 0–100, with spaced review missions so it sticks past Friday. Gold demands range — you have to beat every kind of question a topic can throw, not grind one template. Streaks only count school days. We're not monsters.

TOPIC 10.2 — GEOMETRIC SERIES

Bronze→

Silver→

Gold→

Radiant

MASTERY 87/1002 REVIEWS TO RADIANT

STREAK — SCHOOL DAYS ONLY

MTWTF❄ 2 freezes held

Every question is generated fresh from a seed — no two grinds alike.

An independent solver re-checks every answer. The game cannot gaslight you.

Aligned to the College Board CED, §1.1 through §10.15 — every BC-only topic included.

// FOR TEACHERS

You get the data. They get a game.

Section join codes. A live mastery heatmap of every topic. Weak-area flags, time played, CSV export. See who's ready for May before the first mock.

Set up your class

Teacher dashboard: per-student mastery heatmap across all topics — period 3, live. red cells are Monday's warm-up.

The horizon is not the end.

Nine more units say otherwise.