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책 정보
· 분류 : 국내도서 > 과학 > 수학 > 수학 일반
· ISBN : 9791191188707
· 쪽수 : 592쪽
· 출판일 : 2022-01-14
책 소개
목차
Part 1. Differentiation (For both AB and BC)
1. Limit................................................................................. 12
2. Continuity and Discontinuity....................................... 40
3. Differentiation................................................................. 48
4. Technique of Differentiation........................................ 64
5. Differentiability and Tangent line............................... 88
6. Extrema and First Derivative...................................... 101
7. Concavity and Second Derivative............................ 112
8. Motions and Derivatives............................................. 133
9. Optimization and Related Rates................................ 143
10. Applications of Differentiation................................... 157
Part 2. Integration (For both AB and BC)
11. Antiderivatives............................................................ 174
12. Definite Integral........................................................... 201
13. Fundamental Theorem of Calculus........................ 222
14. Approximating Area.................................................. 239
15. Area and Volume...................................................... 253
16. More Applications and Motion................................ 277
17. Differential Equation................................................... 290
Part 3. Calculus for BC (For BC only)
18. Euler Method, Logistic Curve (for BC)................... 305
19. Integration for BC (for BC)........................................ 320
20. Infinite Series (for BC)................................................ 341
21. Power Series (for BC)............................................... 375
22. Taylor Series (for BC)................................................ 382
23. Parametric Equation (for BC)................................... 409
24. Polar Equation (for BC)............................................. 429
Calculator Skills................................................................. 453
MCQ Mock Test for AB .................................................. 477
MCQ Mock Test for BC ................................................. 508
Topics for Free response (for AB)................................ 540
Topics for Free response (for BC)................................ 551
Answers.............................................................................. 566