Formulas from Precalculus............................................. 12 Part 1. Differentiation (For both AB and BC) 1. Limit................................................................................. 16 2. Continuity and Discontinuity....................................... 46 3. Differentiation................................................................. 54 4. Technique of Differentiation........................................ 70 5. Differentiability and Tangent line............................... 95 Free Response Questions (from ch1~5)................ 108 6. Extrema and First Derivative...................................... 110 7. Concavity and Second Derivative............................ 123 8. Motions and Derivatives............................................. 144 9. Optimization and Related Rates................................ 154 10. Applications of Differentiation................................... 168 Free Response Questions (from ch6~10)............ 184 Part 2. Integration (For both AB and BC) 11. Antiderivatives............................................................ 190 12. Definite Integral........................................................... 217 13. Fundamental Theorem of Calculus........................ 238 14. Approximating Area.................................................. 256 15. Area and Volume...................................................... 270 16. More Applications and Motion................................ 294 17. Differential Equation................................................... 306 Free Response Questions (from ch11~17).......... 322 Part 3. Calculus for BC (For BC only) 18. Euler Method, Logistic Curve (for BC)................... 328 19. Integration for BC (for BC)........................................ 340 20. Infinite Series (for BC)................................................ 363 21. Power Series (for BC)............................................... 397 22. Taylor Series (for BC)................................................ 404 23. Parametric Equation (for BC)................................... 431 24. Polar Equation (for BC)............................................. 451 Free Response Questions (from ch18~24).......... 474 Calculator Skills............................................................ 478 MCQ Mock Test for AB ............................................ 502 MCQ Mock Test for BC ............................................ 533 Answers.............................................................................. 565