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chapter 1  introduction of ap calculus examap΢»ý·Ö¿¼ÊÔ½éÉÜ 
chapter 2  functionsº¯Êý 
2.1   five basic elementary functionsÎåÖÖ»ù±¾³õµÈº¯Êý 
2.2   inverse functions·´º¯Êý 
2.3   composite functions¸´ºÏº¯Êý 
2.4   parametric functions²Î±äÁ¿º¯Êý 
2.5   polar functions¼«×ø±êº¯Êý 
2.6   vector functionsÏòÁ¿º¯Êý 
2.7   transforming of functionsº¯Êý±ä»» 
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 3  limit and continuity¼«ÏÞÓëÁ¬Ðø 
3.1   definition of a limit¼«Ï޵Ķ¨Òå 
3.2   limit laws¼«ÏÞ£¨´æÔÚ£©¶¨Àí 
3.3   rules of limits¼«ÏÞµÄÔËËã·¨Ôò 
3.4   two important limitsÁ½¸öÖØÒª¼«ÏÞ 
3.5   application of limits: findingasymptotes¼«ÏÞµÄÓ¦ÓãºÕÒ½¥½üÏß 
3.6   continuityÁ¬Ðø  
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 4  definition of derivativeµ¼Êý¶¨Òå 
4.1   definition of derivativeµ¼ÊýµÄ¶¨Òå 
4.2   one-sided derivativeµ¥²àµ¼Êý 
4.3   the geometric interpretation ofderivativeµ¼ÊýµÄ¼¸ºÎÒâÒå  
4.4   the relation between differentiability andcontinuity¿Éµ¼ÓëÁ¬ÐøµÄ¹Øϵ 
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 5  rules for finding derivativesÇóµ¼·¨Ôò 
5.1   basic rules for findingderivativesµ¼Êý»ù±¾ÔËËã 
5.2   high order derivatives¸ß½×µ¼Êý 
5.3   implicit differentiation¡°Òþº¯Êý¡±Çóµ¼ 
5.4   the derivative of an inversefunction·´º¯ÊýÇóµ¼ 
5.5   derivatives of parametricfunctions²ÎÊý·½³ÌÇóµ¼ 
5.6   derivatives of polar functions¼«×ø±êº¯ÊýÇóµ¼
5.7   derivatives of vector functionsÏòÁ¿º¯ÊýÇóµ¼
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 6  applications of derivativesµ¼ÊýÓ¦Óà
6.1   equations of tangent lines and normallinesÇÐÏߺͷ¨Ïß·½³Ì
6.2   the mean value theorem for derivatives΢·ÖÖÐÖµ¶¨Àí
6.3   related ratesÏà¹Ø±ä»¯ÂÊ
6.4   motionÔ˶¯Ñ§
6.5   maxima and minima*´óÖµºÍ*Сֵ 
6.6   l¡¯hopital¡¯s ruleÂå±È´ï·¨Ôò  
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 7  differentials΢·Ö 
7.1   definition of differential΢·Ö¶¨Òå 
7.2   linear approximation ÏßÐÔ¹ÀËã  
7.3   euler¡¯s methodÅ·À­·¨Ôò   
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 8  the indefinite integral²»¶¨»ý·Ö 
8.1   the antiderivativeÔ­º¯Êý
8.2   integration formulas»ý·Ö¹«Ê½
8.3   u-substitution»»Ôª·¨ 
8.4   integration by parts·Ö²¿»ý·Ö 
8.5   the method of partial fractions·Öʽ²ð·ÖÇó»ý·Ö 
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 9  the definite integral¶¨»ý·Ö 
9.1   a limit of riemann sum(left, right andmidpoint)ÀèÂüºÍµÄ¼«ÏÞ  
9.2   the first fundamental theorem ofcalculus΢»ý·Ö**»ù´¡ÀíÂÛ  
9.3   the second fundamental theorem ofcalculus΢»ý·ÖµÚ¶þ»ù´¡ÀíÂÛ 
9.4   improper integrals·´³£»ý·Ö£¨¹ãÒå»ý·Ö£© 
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 10  applications of integral»ý·ÖÓ¦ÓÃ
10.1   the mean value theorem for integrals »ý·ÖÖÐÖµ¶¨Àí
10.2   areaÃæ»ý
10.3   volumeÌå»ý  
10.4   length of a curveÇúÏß³¤¶È  
10.5   accumulated changeÀÛ»ý±ä»¯ 
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 11  differential equations΢·Ö·½³Ì  
11.1   separation variables¿É·ÖÀë±äÁ¿µÄ΢·Ö·½³Ì
11.2   logistic differential equationÂß¼­Ë¹µÙ΢·Ö·½³Ì
11.3   slope fields (directionfields)бÂʳ¡  
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 12  infinite seriesÎÞÇÊý
12.1   one definition for infinite seriesÒ»¸ö¶¨Òå 
12.2   two limitsÁ½¸ö¼«ÏÞ  
12.3   three tests of seriesÈý´óÉóÁ²·¨  
12.4   four important seriesËÄÖÖÖØÒª¼¶Êý  
12.5   five formulas of power series and taylorseriesÎå¸öÖØÒª¹«Ê½ 
¡¾practice problems?¿ÎºóÁ·Ï°¡¿ 
chapter 13  graphing calculatorͼÐμÆËãÆ÷ʹÓÃÖ¸ÄÏ  
13.1   ti-nspire cx casÃæ°å½éÉÜ
13.2   ti-nspire cx casÒ³ÃæµÄ²Ù×÷  
13.3   ti-nspire cx casÕë¶Ôap΢»ý·Ö¿¼ÊԵļÆËãÄÚÈÝ
13.4   Ó¦ÓÃͼÐμÆËãÆ÷ʾ·¶Çó½â¹Ù·½ÑùÌâ
chapter 14  ap calculus bc practice test £¨ap calculusbcÄ£¿¼ÊÔÌ⣩
chapter 15  answers²Î¿¼´ð°¸
15.1   ¿ÎºóÏ°Ìâ²Î¿¼´ð°¸
15.2   ap calculus bcÄ£¿¼ÊÔÌâ²Î¿¼´ð°¸  
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