AP CALCULUS AB-BC(개정판 2판)(Mia's MATH SERIES)

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

소미혜 지난 15년 이상을 유학 수학 현장에서 다양한 학생들과 호흡하면서 최적화된 미국 수학 및 국제학교 수학에 대한 솔루션을 제공해온 수학 전문가이다.
압구정 미국수학 전문강사라는 타이틀이 위의 노력들을 통해서 자연스럽게 얻게 된 선생님의 별칭이다.
미국에서 인증된 수학전문강사(Texas 8-12 미국 수학교사자격증 content exam+PPR exam통과)로 관련된 전문자격증을 소지하고 있으며, 특히, 해외 엄마들 사이에 입 소문난 실력파 강사이다.
Algebra 1, Geometry, Algebra 2, AP Precalculus, AP calculus AB BC, AP Statistics, DSAT math, IB Math 등에서 15년 이상의 경력을 가지고 있다. 또한 한국 수능수학 강의 경력도 4년 이상을 가지고 있어서 한국 수학과 미국/국제 학교 수학에 대해서 모두 정통한 수학 전문가이다.