AP Calculus BC Complete Study Notes

all 10 units · made by a student, for students 🎓

📐 All 10 Units
✅ AP Exam Ready
💖 Student Made
🆓 Free Forever
✏️ 📊 ∫ π ∑ 📈

📋 pick a unit to study:

🎯
UNIT 1 · 4–7%
Limits & Continuity
Limit laws · L'Hôpital's rule · Squeeze theorem · IVT · Continuity conditions
📉
UNIT 2 · 4–7%
Differentiation: Definition & Properties
Limit definition · Power rule · Product & quotient rules · Trig derivatives
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UNIT 3 · 4–7%
Composite, Implicit & Inverse Differentiation
Chain rule · Implicit differentiation · Inverse trig derivatives · Higher order
🚀
UNIT 4 · 6–9%
Contextual Applications of Differentiation
Related rates · Motion · Linear approximation · Indeterminate forms
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UNIT 5 · 8–11%
Analytical Applications of Differentiation
MVT · EVT · Curve sketching · Optimization · Concavity · Inflection points
∫
UNIT 6 · 17–20%
Integration & Accumulation of Change
Riemann sums · FTC · u-substitution · Integration by parts BC
〰️
UNIT 7 · 6–9%
Differential Equations
Slope fields · Separation of variables · Euler's method BC · Logistic growth
📦
UNIT 8 · 6–9%
Applications of Integration
Area between curves · Disk & washer method · Shell method · Arc length
🎢
UNIT 9 · 11–12%
Parametric, Polar & Vector Functions
Parametric derivatives · Polar area · Vector-valued functions BC
∑
UNIT 10 · 17–18%
Infinite Sequences & Series
Convergence tests · Taylor & Maclaurin series · Power series BC

✏️ how to use these notes

🎯

pick the unit you're studying or struggling with

📖

read through the formulas and concepts

✍️

try the practice problems at the bottom

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come back and review before your exam!