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............................................295
17. Differential Equation....................................................................307
Free Response Questions (from ch11~17)...............323

Part 3. Calculus for BC (For BC only)

18. Euler Method, Logistic Curve (for BC)...........................330
19. Integration for BC (for BC).......................................................342
20. Infinite Series (for BC).................................................................365
21. Power Series (for BC)..................................................................399
22. Taylor Series (for BC)...................................................................406
23. Parametric Equation (for BC)................................................433
24. Polar Equation (for BC)..............................................................453
Free Response Questions (from ch18~24).................476

Part 4. Practice Tests

AB Full-Length MCQ Practice Test 1.......................................482
AB Full-Length MCQ Practice Test 2.......................................502
AB Full-Length MCQ Practice Test 3.......................................519
BC Full-Length MCQ Practice Test 1.......................................538
BC Full-Length MCQ Practice Test 2.......................................559
BC Full-Length MCQ Practice Test 3.......................................576
Topics of FRQ Questions for AB..................................................593
Topics of FRQ Questions for BC..................................................599

Answers....................................................................................607