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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
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