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The AP Program includes specifications for two calculus courses and the exam for each course. The two courses and the two corresponding exams are designated as
Calculus AB and Calculus BC. Calculus AB can be offered as an AP course by any school that can organize a curriculum for students with advanced mathematical ability.
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Students are required to put away their calculators after 30 minutes have passed during the Free-Response section, and only at that point may begin
Section II Part B. However, students may continue to work on Section II Part A during the entire Free-Response time, although without a calculator during
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An AP course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning.
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The free response section is hand-graded by hundreds of AP teachers and professors each June. The raw score is then added to the adjusted multiple choice score to receive a composite score. This total is compared to a composite-score scale for that year's exam and converted into an AP score of 1 to
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It can be seen from the tables that the pass rate (score of 3 or higher) of AP Calculus BC is higher than AP Calculus AB. It can also be noted that about 1/3 as many take the BC exam as take the AB exam. A possible explanation for the higher scores on BC is that students who take AP Calculus BC are
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The
College Board intentionally schedules the AP Calculus AB exam at the same time as the AP Calculus BC exam to make it impossible for a student to take both tests in the same academic year, though the College Board does not make Calculus AB a prerequisite class for Calculus BC. Some schools do
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Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in
Calculus AB plus additional topics... Students who take an AP Calculus course should do so with the intention of placing out of a comparable college calculus
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For the
Calculus BC exam, an AB sub-score is included in the score report to reflect their proficiency in the fundamental topics of introductory calculus. The AB sub-score is based on the correct number of answers for questions pertaining to AB-material only.
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The multiple choice section is scored by computer, with a correct answer receiving 1 point, with omitted and incorrect answers not affecting the raw score. This total is multiplied by 1.2 to calculate the adjusted multiple-choice score.
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and is the first calculus course offered at most schools except for possibly a regular or honors calculus class. The Pre-Advanced
Placement pathway for math helps prepare students for further Advanced Placement classes and exams.
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this, though many others only require precalculus as a prerequisite for
Calculus BC. The AP awards given by College Board count both exams. However, they do not count the AB sub-score piece of the BC exam.
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AP Calculus BC is equivalent to a full year regular college course, covering both
Calculus I and II. After passing the exam, students may move on to Calculus III (
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The structures of the AB and BC exams are identical. Both exams are three hours and fifteen minutes long, comprising a total of 45
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more prepared and advanced in math. The 5-rate is consistently over 40% (much higher than almost all the other AP exams).
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AP Calculus BC includes all of the topics covered in AP Calculus AB, as well as the following:
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521:. An AP Calculus AB course is typically equivalent to one semester of college calculus.
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The two parts of the multiple choice section are timed and taken independently.
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questions. They are usually administered on a Monday or
Tuesday morning in May.
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covers all AP Calculus AB topics plus additional topics (including
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courses and exams offered by the
American nonprofit organization
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College Board description of the AP Calculus BC course content
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College Board description of the AP Calculus AB course content
3013:"AP Calculus AB and Calculus BC Chief Reader Report May 2017"
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College Board description of the AP Calculus BC examination
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College Board description of the AP Calculus AB examination
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Analysis of graphs (predicting and explaining behavior)
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501:The material includes the study and application of
2850:"Student Score Distributions, AP Exams - May 2018"
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3182:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2021"
3154:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2020"
3126:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2019"
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1014:{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}
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2814:"AP Calculus AB May 2017 Score Distributions"
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3289:"2006, 2007 AP Calculus Course Description"
3236:"2018 AP Exam Dates | The Princeton Review"
2736:"2006, 2007 AP Calculus Course Description"
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2705:Mathematics education in the United States
1934:Differential equations for logistic growth
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470:course. It is traditionally taken after
27:Two Advanced Placement courses and exams
2690:AP Physics C: Electricity and Magnetism
1377:Differentiating under the integral sign
14:
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3541:Electrical and electronics engineering
3526:Developmental and reproductive biology
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3294:. College Board. 2005. Archived from
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2741:. College Board. 2005. Archived from
3225:" (PDF). Retrieved January 12, 2024.
3212:" (PDF). Retrieved January 12, 2024.
3102:" (PDF). Retrieved January 12, 2024.
3068:" (PDF). Retrieved January 12, 2024.
2957:" (PDF). Retrieved January 12, 2024.
2944:" (PDF). Retrieved January 12, 2024.
2931:" (PDF). Retrieved January 12, 2024.
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207:Physics C: Electricity and Magnetism
509:, and graphical analysis including
117:Comparative Government and Politics
33:This article is part of a series on
24:
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2548:Multiple-Choice, Section I Part B
2545:Multiple-Choice, Section I Part A
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923:Part of a series of articles about
242:Studio Art (2-D, 3-D, and Drawing)
137:English Literature and Composition
25:
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3571:Genetics and evolutionary biology
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2554:Free-Response, Section II Part B
2551:Free-Response, Section II Part A
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534:Asymptotic and unbounded behavior
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3079:"The 2022 AP Calculus BC scores"
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1877:According to the College Board,
617:Separable differential equations
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132:English Language and Composition
3575:Cellular and molecular biology
3322:. College Board. Archived from
3320:"AP: The Grade-Setting Process"
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3266:. College Board. Archived from
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2987:. College Board. Archived from
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2773:. College Board. Archived from
602:Fundamental theorem of calculus
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1920:calculations using integration
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1002:
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419:covers basic introductions to
322:Music Listening and Literature
293:International English Language
232:Spanish Literature and Culture
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1:
3037:"STUDENT SCORE DISTRIBUTIONS"
2905:"Student Score Distributions"
2881:"Student Score Distributions"
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1308:Integral of inverse functions
172:Japanese Language and Culture
71:Research (AP Capstone Part 2)
48: •
3387:Inside Interesting Integrals
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338:Russian Language and Culture
247:U.S. Government and Politics
227:Spanish Language and Culture
167:Italian Language and Culture
112:Chinese Language and Culture
66:Seminar (AP Capstone Part 1)
7:
3223:STUDENT SCORE DISTRIBUTIONS
3210:STUDENT SCORE DISTRIBUTIONS
3113:2024 AP Score Distributions
3100:STUDENT SCORE DISTRIBUTIONS
3066:STUDENT SCORE DISTRIBUTIONS
2968:2024 AP Score Distributions
2955:STUDENT SCORE DISTRIBUTIONS
2942:STUDENT SCORE DISTRIBUTIONS
2929:STUDENT SCORE DISTRIBUTIONS
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2250:
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1726:Calculus on Euclidean space
1149:Logarithmic differentiation
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404:) is a set of two distinct
157:German Language and Culture
152:French Language and Culture
127:Computer Science Principles
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3676:Probability and statistics
3115:". Retrieved July 8, 2024.
2970:". Retrieved July 8, 2024.
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3727:AP courses in mathematics
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2247:AB sub-score distribution
1460:Summand limit (term test)
2410:% of Scores 3 or Higher
2126:% of Scores 3 or Higher
1144:Implicit differentiation
1134:Differentiation notation
1061:Inverse function theorem
799:% of Scores 3 or Higher
595:Numerical approximations
564:Higher order derivatives
202:Physics 2: Algebra-Based
197:Physics 1: Algebra-Based
87:African American Studies
3471:Artificial intelligence
3240:www.princetonreview.com
2686:AP Physics C: Mechanics
1602:Helmholtz decomposition
3701:Structural engineering
3641:Mechanical engineering
3614:Western and South Asia
2615:the later two thirds.
1884:
1867:Multivariable Calculus
1736:Limit of distributions
1556:Directional derivative
1217:Faà di Bruno's formula
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272:World History: Ancient
3566:Environmental science
3451:Aerospace engineering
2796:"Course Descriptions"
1879:
1820:Mathematical analysis
1731:Generalized functions
1416:arithmetico-geometric
1262:Leibniz integral rule
1016:
489:
463:AP Calculus AB is an
257:World History: Modern
142:Environmental Science
3385:Nahin, Paul (2014).
2700:Glossary of calculus
2678:United States portal
1924:Integration by parts
1907:Parametric equations
1825:Nonstandard analysis
1298:Lebesgue integration
1168:Rules and identities
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445:parametric equations
437:integration by parts
212:Physics C: Mechanics
102:Calculus (AB and BC)
2488:Number of Students
2462:Standard Deviation
2213:Number of Students
2184:Standard Deviation
1496:Cauchy condensation
1303:Contour integration
1029:Fundamental theorem
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886:Number of Students
857:Standard Deviation
607:Antidifferentiation
531:(one and two sided)
529:Limits of functions
340:(discontinued 2010)
334:(discontinued 1973)
328:(discontinued 2014)
319:(discontinued 2012)
313:(discontinued 2009)
307:(discontinued 1983)
301:(discontinued 2009)
295:(discontinued 2002)
289:(discontinued 2009)
287:Computer Science AB
3737:Advanced Placement
3046:on August 19, 2013
2664:Mathematics portal
2533:questions and six
1944:rational functions
1929:Improper integrals
1668:Partial derivative
1597:generalized Stokes
1491:Alternating series
1372:Reduction formulae
1347:tangent half-angle
1334:Cylindrical shells
1257:Integral transform
1252:Lists of integrals
1056:Mean value theorem
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465:Advanced Placement
406:Advanced Placement
378:Advanced Placement
122:Computer Science A
39:Advanced Placement
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3696:Scientific naming
3686:Quantum computing
3516:Computer hardware
3511:Clinical research
3506:Civil engineering
2857:The College Board
2711:Stand and Deliver
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1896:Convergence tests
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1139:Second derivative
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483:According to the
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299:French Literature
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453:polar coordinate
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147:European History
79:Current subjects
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3347:AP Calculus AB
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2559:# of Questions
2531:multiple choice
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1912:Polar functions
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1815:Integration Bee
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1095:generalizations
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1051:Rolle's theorem
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579:Interpretations
503:differentiation
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449:vector calculus
388:(also known as
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162:Human Geography
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3342:External links
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3227:
3214:
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3173:
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3117:
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3025:on 2018-07-25.
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2695:AP Precalculus
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2607:
2606:
2603:
2600:
2597:
2594:
2590:
2589:
2586:
2583:
2580:
2577:
2573:
2572:
2569:
2566:
2563:
2560:
2556:
2555:
2552:
2549:
2546:
2543:
2526:
2523:
2517:
2514:
2511:
2510:
2507:
2504:
2501:
2498:
2495:
2492:
2489:
2485:
2484:
2481:
2478:
2475:
2472:
2469:
2466:
2463:
2459:
2458:
2455:
2452:
2449:
2446:
2443:
2440:
2437:
2433:
2432:
2429:
2426:
2423:
2420:
2417:
2414:
2411:
2407:
2406:
2403:
2400:
2397:
2394:
2391:
2388:
2385:
2381:
2380:
2377:
2374:
2371:
2368:
2365:
2362:
2359:
2355:
2354:
2351:
2348:
2345:
2342:
2339:
2336:
2333:
2329:
2328:
2325:
2322:
2319:
2316:
2313:
2310:
2307:
2303:
2302:
2299:
2296:
2293:
2290:
2287:
2284:
2281:
2277:
2276:
2273:
2270:
2267:
2264:
2261:
2258:
2255:
2248:
2245:
2238:
2237:
2235:
2232:
2229:
2226:
2223:
2220:
2217:
2214:
2210:
2209:
2206:
2203:
2200:
2197:
2194:
2191:
2188:
2185:
2181:
2180:
2177:
2174:
2171:
2168:
2165:
2162:
2159:
2156:
2152:
2151:
2148:
2145:
2142:
2139:
2136:
2133:
2130:
2127:
2123:
2122:
2119:
2116:
2113:
2110:
2107:
2104:
2101:
2098:
2094:
2093:
2090:
2087:
2084:
2081:
2078:
2075:
2072:
2069:
2065:
2064:
2061:
2058:
2055:
2052:
2049:
2046:
2043:
2040:
2036:
2035:
2032:
2029:
2026:
2023:
2020:
2017:
2014:
2011:
2007:
2006:
2003:
2000:
1997:
1994:
1991:
1988:
1985:
1982:
1978:
1977:
1974:
1971:
1968:
1965:
1962:
1959:
1956:
1953:
1947:
1946:
1936:
1931:
1926:
1921:
1915:
1909:
1904:
1899:
1888:
1885:
1874:
1871:
1861:
1860:
1858:
1857:
1850:
1843:
1835:
1832:
1831:
1828:
1827:
1822:
1817:
1812:
1810:List of topics
1807:
1802:
1797:
1791:
1786:
1785:
1782:
1781:
1778:
1777:
1772:
1767:
1762:
1756:
1751:
1750:
1747:
1746:
1741:
1740:
1739:
1738:
1733:
1728:
1718:
1713:
1712:
1709:
1708:
1703:
1702:
1701:
1700:
1695:
1690:
1685:
1680:
1675:
1670:
1662:
1661:
1657:
1656:
1655:
1654:
1649:
1644:
1639:
1631:
1630:
1624:
1617:
1616:
1613:
1612:
1607:
1606:
1605:
1604:
1599:
1594:
1589:
1584:
1579:
1571:
1570:
1566:
1565:
1564:
1563:
1558:
1553:
1548:
1543:
1538:
1528:
1521:
1520:
1517:
1516:
1511:
1510:
1509:
1508:
1503:
1498:
1493:
1488:
1482:
1477:
1472:
1467:
1462:
1454:
1453:
1447:
1446:
1445:
1444:
1439:
1434:
1429:
1424:
1419:
1404:
1397:
1396:
1393:
1392:
1387:
1386:
1385:
1384:
1379:
1374:
1369:
1367:Changing order
1364:
1359:
1354:
1336:
1331:
1326:
1318:
1317:
1316:Integration by
1313:
1312:
1311:
1310:
1305:
1300:
1295:
1290:
1280:
1278:Antiderivative
1272:
1271:
1267:
1266:
1265:
1264:
1259:
1254:
1244:
1237:
1236:
1233:
1232:
1227:
1226:
1225:
1224:
1219:
1214:
1209:
1204:
1199:
1194:
1189:
1184:
1179:
1171:
1170:
1164:
1163:
1162:
1161:
1156:
1151:
1146:
1141:
1136:
1128:
1127:
1123:
1122:
1121:
1120:
1119:
1118:
1113:
1108:
1098:
1085:
1084:
1078:
1071:
1070:
1067:
1066:
1064:
1063:
1058:
1053:
1047:
1045:
1044:
1039:
1033:
1032:
1031:
1023:
1022:
1010:
1007:
1004:
1001:
998:
995:
992:
989:
986:
983:
980:
977:
973:
970:
967:
963:
960:
954:
949:
945:
935:
932:
931:
925:
924:
917:
916:AP Calculus BC
914:
911:
910:
908:
905:
902:
899:
896:
893:
890:
887:
883:
882:
879:
876:
873:
870:
867:
864:
861:
858:
854:
853:
850:
847:
844:
841:
838:
835:
832:
829:
825:
824:
821:
818:
815:
812:
809:
806:
803:
800:
796:
795:
792:
789:
786:
783:
780:
777:
774:
771:
767:
766:
763:
760:
757:
754:
751:
748:
745:
742:
738:
737:
734:
731:
728:
725:
722:
719:
716:
713:
709:
708:
705:
702:
699:
696:
693:
690:
687:
684:
680:
679:
676:
673:
670:
667:
664:
661:
658:
655:
651:
650:
647:
644:
641:
638:
635:
632:
629:
626:
620:
619:
614:
609:
604:
599:
598:
597:
592:
589:
584:
581:
571:
570:
569:
566:
561:
556:
551:
548:
540:
535:
532:
526:
498:
495:
480:
477:
460:
459:AP Calculus AB
457:
433:AP Calculus BC
417:AP Calculus AB
373:
372:
370:
369:
362:
355:
347:
344:
343:
342:
341:
335:
329:
323:
320:
314:
308:
302:
296:
290:
281:
280:
276:
275:
274:
273:
267:
266:
265:In development
262:
261:
260:
259:
254:
249:
244:
239:
234:
229:
224:
219:
214:
209:
204:
199:
194:
189:
187:Microeconomics
184:
182:Macroeconomics
179:
174:
169:
164:
159:
154:
149:
144:
139:
134:
129:
124:
119:
114:
109:
104:
99:
94:
89:
81:
80:
76:
75:
74:
73:
68:
60:
59:
53:
52:
42:
41:
35:
34:
26:
18:AP Calculus AB
9:
6:
4:
3:
2:
3749:
3738:
3735:
3733:
3730:
3728:
3725:
3724:
3722:
3707:
3704:
3702:
3699:
3697:
3694:
3692:
3689:
3687:
3684:
3682:
3679:
3677:
3674:
3672:
3669:
3667:
3664:
3662:
3659:
3657:
3654:
3652:
3649:
3647:
3644:
3642:
3639:
3637:
3634:
3632:
3629:
3627:
3624:
3622:
3619:
3615:
3612:
3610:
3607:
3605:
3602:
3600:
3597:
3595:
3592:
3591:
3589:
3585:
3582:
3580:
3577:
3576:
3574:
3572:
3569:
3567:
3564:
3562:
3559:
3555:
3552:
3550:
3547:
3546:
3544:
3542:
3539:
3537:
3534:
3532:
3529:
3527:
3524:
3522:
3519:
3517:
3514:
3512:
3509:
3507:
3504:
3502:
3499:
3497:
3494:
3492:
3489:
3487:
3484:
3482:
3479:
3477:
3474:
3472:
3469:
3467:
3464:
3462:
3459:
3457:
3454:
3452:
3449:
3448:
3445:
3441:
3437:
3429:
3424:
3422:
3417:
3415:
3410:
3409:
3406:
3398:
3396:9781493912766
3392:
3388:
3383:
3382:
3372:
3369:
3367:
3364:
3363:
3361:
3357:
3354:
3352:
3349:
3348:
3346:
3345:
3326:on 2008-12-18
3325:
3321:
3315:
3301:on 2008-07-20
3297:
3290:
3284:
3270:on 2008-12-19
3269:
3265:
3261:
3255:
3241:
3237:
3231:
3224:
3218:
3211:
3205:
3190:
3189:College Board
3183:
3177:
3162:
3161:College Board
3155:
3149:
3134:
3133:College Board
3127:
3121:
3114:
3108:
3101:
3095:
3080:
3074:
3067:
3061:
3042:
3038:
3032:
3021:
3014:
3008:
3006:
2991:on 2008-12-19
2990:
2986:
2982:
2976:
2969:
2963:
2956:
2950:
2943:
2937:
2930:
2924:
2906:
2900:
2882:
2876:
2874:
2858:
2851:
2845:
2843:
2841:
2826:on 2018-03-26
2822:
2815:
2808:
2797:
2791:
2777:on 2008-12-19
2776:
2772:
2768:
2762:
2748:on 2008-07-20
2744:
2737:
2731:
2729:
2724:
2713:
2712:
2708:
2706:
2703:
2701:
2698:
2696:
2693:
2691:
2687:
2684:
2683:
2679:
2668:
2665:
2659:
2654:
2651:
2645:
2640:
2633:
2629:
2625:
2616:
2612:
2604:
2601:
2598:
2595:
2592:
2591:
2587:
2584:
2581:
2578:
2576:Time Allowed
2575:
2574:
2570:
2567:
2564:
2561:
2558:
2557:
2553:
2550:
2547:
2544:
2542:
2541:
2538:
2536:
2535:free response
2532:
2522:
2508:
2505:
2502:
2499:
2496:
2493:
2490:
2487:
2486:
2482:
2479:
2476:
2473:
2470:
2467:
2464:
2461:
2460:
2456:
2453:
2450:
2447:
2444:
2441:
2438:
2435:
2434:
2430:
2427:
2424:
2421:
2418:
2415:
2412:
2409:
2408:
2404:
2401:
2398:
2395:
2392:
2389:
2386:
2383:
2382:
2378:
2375:
2372:
2369:
2366:
2363:
2360:
2357:
2356:
2352:
2349:
2346:
2343:
2340:
2337:
2334:
2331:
2330:
2326:
2323:
2320:
2317:
2314:
2311:
2308:
2305:
2304:
2300:
2297:
2294:
2291:
2288:
2285:
2282:
2279:
2278:
2274:
2271:
2268:
2265:
2262:
2259:
2256:
2253:
2252:
2244:
2236:
2233:
2230:
2227:
2224:
2221:
2218:
2215:
2212:
2211:
2207:
2204:
2201:
2198:
2195:
2192:
2189:
2186:
2183:
2182:
2178:
2175:
2172:
2169:
2166:
2163:
2160:
2157:
2154:
2153:
2149:
2146:
2143:
2140:
2137:
2134:
2131:
2128:
2125:
2124:
2120:
2117:
2114:
2111:
2108:
2105:
2102:
2099:
2096:
2095:
2091:
2088:
2085:
2082:
2079:
2076:
2073:
2070:
2067:
2066:
2062:
2059:
2056:
2053:
2050:
2047:
2044:
2041:
2038:
2037:
2033:
2030:
2027:
2024:
2021:
2018:
2015:
2012:
2009:
2008:
2004:
2001:
1998:
1995:
1992:
1989:
1986:
1983:
1980:
1979:
1975:
1972:
1969:
1966:
1963:
1960:
1957:
1954:
1951:
1950:
1945:
1942:to integrate
1941:
1937:
1935:
1932:
1930:
1927:
1925:
1922:
1919:
1916:
1913:
1910:
1908:
1905:
1903:
1902:Taylor series
1900:
1897:
1894:
1893:
1892:
1887:Topic outline
1883:
1878:
1870:
1868:
1856:
1851:
1849:
1844:
1842:
1837:
1836:
1834:
1833:
1826:
1823:
1821:
1818:
1816:
1813:
1811:
1808:
1806:
1803:
1801:
1798:
1796:
1793:
1792:
1784:
1783:
1776:
1773:
1771:
1768:
1766:
1763:
1761:
1758:
1757:
1749:
1748:
1737:
1734:
1732:
1729:
1727:
1724:
1723:
1722:
1721:
1711:
1710:
1699:
1696:
1694:
1691:
1689:
1686:
1684:
1681:
1679:
1678:Line integral
1676:
1674:
1671:
1669:
1666:
1665:
1664:
1663:
1659:
1658:
1653:
1650:
1648:
1645:
1643:
1640:
1638:
1635:
1634:
1633:
1632:
1628:
1627:
1621:
1620:Multivariable
1615:
1614:
1603:
1600:
1598:
1595:
1593:
1590:
1588:
1585:
1583:
1580:
1578:
1575:
1574:
1573:
1572:
1568:
1567:
1562:
1559:
1557:
1554:
1552:
1549:
1547:
1544:
1542:
1539:
1537:
1534:
1533:
1532:
1531:
1525:
1519:
1518:
1507:
1504:
1502:
1499:
1497:
1494:
1492:
1489:
1487:
1483:
1481:
1478:
1476:
1473:
1471:
1468:
1466:
1463:
1461:
1458:
1457:
1456:
1455:
1452:
1449:
1448:
1443:
1440:
1438:
1435:
1433:
1430:
1428:
1425:
1423:
1420:
1417:
1413:
1410:
1409:
1408:
1407:
1401:
1395:
1394:
1383:
1380:
1378:
1375:
1373:
1370:
1368:
1365:
1363:
1360:
1358:
1355:
1352:
1348:
1344:
1343:trigonometric
1340:
1337:
1335:
1332:
1330:
1327:
1325:
1322:
1321:
1320:
1319:
1315:
1314:
1309:
1306:
1304:
1301:
1299:
1296:
1294:
1291:
1288:
1284:
1281:
1279:
1276:
1275:
1274:
1273:
1269:
1268:
1263:
1260:
1258:
1255:
1253:
1250:
1249:
1248:
1247:
1241:
1235:
1234:
1223:
1220:
1218:
1215:
1213:
1210:
1208:
1205:
1203:
1200:
1198:
1195:
1193:
1190:
1188:
1185:
1183:
1180:
1178:
1175:
1174:
1173:
1172:
1169:
1166:
1165:
1160:
1157:
1155:
1154:Related rates
1152:
1150:
1147:
1145:
1142:
1140:
1137:
1135:
1132:
1131:
1130:
1129:
1125:
1124:
1117:
1114:
1112:
1111:of a function
1109:
1107:
1106:infinitesimal
1104:
1103:
1102:
1099:
1096:
1092:
1089:
1088:
1087:
1086:
1082:
1081:
1075:
1069:
1068:
1062:
1059:
1057:
1054:
1052:
1049:
1048:
1043:
1040:
1038:
1035:
1034:
1030:
1027:
1026:
1025:
1024:
1005:
999:
996:
990:
984:
981:
978:
975:
968:
961:
958:
952:
947:
943:
934:
933:
930:
927:
926:
922:
921:
909:
906:
903:
900:
897:
894:
891:
888:
885:
884:
880:
877:
874:
871:
868:
865:
862:
859:
856:
855:
851:
848:
845:
842:
839:
836:
833:
830:
827:
826:
822:
819:
816:
813:
810:
807:
804:
801:
798:
797:
793:
790:
787:
784:
781:
778:
775:
772:
769:
768:
764:
761:
758:
755:
752:
749:
746:
743:
740:
739:
735:
732:
729:
726:
723:
720:
717:
714:
711:
710:
706:
703:
700:
697:
694:
691:
688:
685:
682:
681:
677:
674:
671:
668:
665:
662:
659:
656:
653:
652:
648:
645:
642:
639:
636:
633:
630:
627:
624:
623:
618:
615:
613:
610:
608:
605:
603:
600:
596:
593:
590:
588:
585:
582:
580:
577:
576:
575:
572:
567:
565:
562:
560:
557:
555:
554:As a function
552:
549:
546:
545:
544:
541:
539:
536:
533:
530:
527:
524:
523:
522:
520:
516:
512:
508:
504:
497:Topic outline
493:
488:
486:
485:College Board
476:
473:
469:
466:
456:
454:
450:
446:
442:
441:Taylor series
438:
434:
430:
426:
422:
418:
414:
413:College Board
410:
407:
403:
399:
395:
391:
387:
383:
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361:
356:
354:
349:
348:
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339:
336:
333:
330:
327:
324:
321:
318:
317:Latin: Vergil
315:
312:
309:
306:
303:
300:
297:
294:
291:
288:
285:
284:
283:
282:
278:
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40:
37:
36:
32:
31:
19:
3545:Engineering
3496:Cell biology
3466:Architecture
3389:. Springer.
3386:
3328:. Retrieved
3324:the original
3314:
3303:. Retrieved
3296:the original
3283:
3272:. Retrieved
3268:the original
3263:
3254:
3243:. Retrieved
3239:
3230:
3217:
3204:
3192:. Retrieved
3176:
3164:. Retrieved
3148:
3136:. Retrieved
3120:
3107:
3094:
3082:. Retrieved
3073:
3060:
3048:. Retrieved
3041:the original
3031:
3020:the original
2993:. Retrieved
2989:the original
2984:
2975:
2962:
2949:
2936:
2923:
2911:. Retrieved
2899:
2887:. Retrieved
2862:December 24,
2860:. Retrieved
2856:
2828:. Retrieved
2821:the original
2807:
2790:
2779:. Retrieved
2775:the original
2770:
2761:
2750:. Retrieved
2743:the original
2709:
2630:
2626:
2622:
2613:
2610:
2528:
2519:
2241:
1890:
1880:
1876:
1864:
1339:Substitution
1101:Differential
1074:Differential
587:Applications
559:Applications
500:
490:
482:
462:
455:functions).
432:
416:
401:
398:AB / BC Calc
397:
394:Calc AB / BC
393:
389:
385:
381:
377:
376:
252:U.S. History
192:Music Theory
101:
3666:Ornithology
3651:Meteorology
3636:Mathematics
3626:Ichthyology
3461:Archaeology
3456:Agriculture
3440:engineering
3264:Calculus AB
2985:Calculus BC
2771:Calculus AB
2714:(1988 film)
2588:60 minutes
2585:30 minutes
2582:45 minutes
2579:60 minutes
1795:Precalculus
1788:Miscellanea
1753:Specialized
1660:Definitions
1427:Alternating
1270:Definitions
1083:Definitions
543:Derivatives
507:integration
472:precalculus
425:derivatives
217:Precalculus
92:Art History
57:AP Capstone
3721:Categories
3681:Psychiatry
3590:Geography
3561:Entomology
3330:2008-11-29
3305:2008-11-29
3274:2008-11-29
3260:"The Exam"
3245:2018-08-20
2995:2008-11-29
2830:2017-06-22
2781:2008-11-29
2752:2008-11-29
2719:References
1918:Arc length
1898:for series
1775:Variations
1770:Stochastic
1760:Fractional
1629:Formalisms
1592:Divergence
1561:Identities
1541:Divergence
1091:Derivative
1042:Continuity
591:Techniques
583:Properties
568:Techniques
550:At a point
538:Continuity
519:continuity
515:asymptotes
400:or simply
237:Statistics
222:Psychology
3536:Economics
3501:Chemistry
3476:Astronomy
1765:Malliavin
1652:Geometric
1551:Laplacian
1501:Dirichlet
1412:Geometric
997:−
944:∫
574:Integrals
429:integrals
332:Physics C
326:Physics B
107:Chemistry
3732:Calculus
3706:Virology
3691:Robotics
3656:Mycology
3646:Medicine
3491:Calculus
2636:See also
2509:135,458
2506:120,276
2503:124,607
2497:139,195
2494:139,376
2491:132,505
2234:135,458
2231:120,238
2228:124,599
2225:127,864
2222:139,195
2219:139,376
2216:132,514
1805:Glossary
1715:Advanced
1693:Jacobian
1647:Exterior
1577:Gradient
1569:Theorems
1536:Gradient
1475:Integral
1437:Binomial
1422:Harmonic
1287:improper
1283:Integral
1240:Integral
1222:Reynolds
1197:Quotient
1126:Concepts
962:′
929:Calculus
907:273,987
904:268,352
901:251,639
898:266,430
895:300,659
892:308,538
889:316,099
468:calculus
409:calculus
386:Calculus
3671:Physics
3621:Geology
3531:Ecology
3481:Biology
3436:science
3194:20 July
3166:20 July
3050:June 9,
2913:June 9,
2889:July 9,
2619:Scoring
2516:AP Exam
1882:course.
1873:Purpose
1800:History
1698:Hessian
1587:Stokes'
1582:Green's
1414: (
1341: (
1285: (
1207:Inverse
1182:Product
1093: (
547:Concept
479:Purpose
402:AB / BC
390:AP Calc
97:Biology
3486:Botany
3393:
3138:9 July
3084:7 July
2525:Format
2431:84.8%
2428:81.2%
2425:80.4%
2419:86.2%
2416:84.8%
2413:85.0%
2376:12.2%
2373:13.0%
2361:10.0%
2353:18.8%
2350:11.8%
2347:16.0%
2341:13.2%
2338:15.9%
2335:14.1%
2327:19.6%
2324:20.9%
2321:17.7%
2315:23.5%
2312:20.2%
2309:22.5%
2301:46.4%
2298:48.5%
2295:46.7%
2289:49.5%
2286:48.7%
2283:48.4%
2254:Score
2147:78.5%
2144:76.9%
2141:75.2%
2138:81.6%
2135:81.0%
2132:79.7%
2129:80.6%
2089:15.2%
2086:16.4%
2083:18.2%
2080:14.1%
2077:13.9%
2074:14.6%
2071:14.3%
2060:19.0%
2057:20.1%
2054:20.4%
2051:19.4%
2048:19.5%
2045:20.7%
2042:19.9%
2031:15.9%
2028:15.6%
2025:16.5%
2022:17.6%
2019:18.5%
2016:18.6%
2013:18.1%
2002:43.5%
1999:41.2%
1996:38.3%
1993:44.6%
1990:43.0%
1987:40.4%
1984:42.6%
1952:Score
1938:Using
1642:Tensor
1637:Matrix
1524:Vector
1442:Taylor
1400:Series
1037:Limits
820:58.0%
817:55.7%
814:51.0%
811:61.4%
808:58.4%
805:57.7%
802:57.5%
791:20.3%
788:21.7%
785:23.7%
782:14.5%
779:18.3%
773:20.4%
762:21.7%
759:22.6%
756:25.3%
753:24.1%
750:23.3%
747:22.4%
733:19.4%
730:19.1%
727:19.3%
724:21.0%
721:20.6%
715:20.8%
704:16.2%
701:16.1%
698:14.1%
695:20.9%
692:18.7%
689:17.3%
675:22.4%
672:20.4%
669:17.6%
666:19.5%
663:19.1%
660:19.4%
657:18.7%
625:Score
517:, and
511:limits
451:, and
427:, and
421:limits
50:Awards
3299:(PDF)
3292:(PDF)
3185:(PDF)
3157:(PDF)
3129:(PDF)
3044:(PDF)
3023:(PDF)
3016:(PDF)
2908:(PDF)
2884:(PDF)
2853:(PDF)
2824:(PDF)
2817:(PDF)
2799:(PDF)
2746:(PDF)
2739:(PDF)
2483:1.26
2480:1.30
2477:1.31
2471:1.18
2468:1.23
2465:1.21
2457:3.91
2454:3.92
2451:3.85
2445:4.05
2442:3.97
2439:4.00
2436:Mean
2405:6.6%
2402:6.7%
2399:6.6%
2393:4.2%
2390:5.3%
2387:4.9%
2379:8.6%
2367:9.7%
2364:9.9%
2275:2023
2272:2022
2269:2021
2266:2020
2263:2019
2260:2018
2257:2017
2208:1.27
2205:1.32
2202:1.33
2199:1.33
2196:1.25
2193:1.27
2190:1.28
2187:1.28
2179:3.87
2176:3.75
2173:3.68
2170:3.62
2167:3.84
2164:3.81
2161:3.73
2158:3.79
2155:Mean
2118:6.3%
2115:6.8%
2112:6.6%
2109:4.3%
2106:5.2%
2103:5.6%
2100:5.3%
1976:2024
1973:2023
1970:2022
1967:2021
1964:2020
1961:2019
1958:2018
1955:2017
1465:Ratio
1432:Power
1351:Euler
1329:Discs
1324:Parts
1192:Power
1187:Chain
1116:total
881:1.35
878:1.44
875:1.44
872:1.41
869:1.36
866:1.38
863:1.40
860:1.40
852:3.21
849:2.99
846:2.91
843:2.77
840:3.07
837:2.97
834:2.94
831:2.93
828:Mean
649:2024
646:2023
643:2022
640:2021
637:2020
634:2019
631:2018
628:2017
177:Latin
46:Exams
3438:and
3391:ISBN
3196:2023
3168:2023
3140:2020
3086:2022
3052:2021
2915:2021
2891:2020
2864:2022
2688:and
2602:Yes
2599:Yes
2500:N/A
2474:N/A
2448:N/A
2422:N/A
2396:N/A
2370:N/A
2344:N/A
2318:N/A
2292:N/A
2150:80%
2092:15%
2063:13%
2034:22%
2005:45%
1546:Curl
1506:Abel
1470:Root
823:64%
794:13%
776:20%
765:23%
744:22%
736:15%
718:21%
707:28%
686:18%
678:21%
505:and
3599:N–Z
3594:A–M
3584:M–Z
3579:0–L
3554:M–Z
3549:A–L
2628:5.
2605:No
2596:No
2565:15
2562:30
2121:5%
1869:).
1177:Sum
3723::
3262:.
3238:.
3187:.
3159:.
3131:.
3004:^
2983:.
2872:^
2855:.
2839:^
2769:.
2727:^
2571:4
2568:2
2384:1
2358:2
2332:3
2306:4
2280:5
2097:1
2068:2
2039:3
2010:4
1981:5
1349:,
1345:,
770:1
741:2
712:3
683:4
654:5
513:,
447:,
443:,
439:,
431:.
423:,
415:.
396:,
392:,
384:)
382:AP
3427:e
3420:t
3413:v
3399:.
3333:.
3308:.
3277:.
3248:.
3221:"
3208:"
3198:.
3170:.
3142:.
3111:"
3098:"
3088:.
3064:"
3054:.
2998:.
2966:"
2953:"
2940:"
2927:"
2917:.
2893:.
2866:.
2833:.
2801:.
2784:.
2755:.
1854:e
1847:t
1840:v
1418:)
1353:)
1289:)
1097:)
1009:)
1006:a
1003:(
1000:f
994:)
991:b
988:(
985:f
982:=
979:t
976:d
972:)
969:t
966:(
959:f
953:b
948:a
487::
380:(
366:e
359:t
352:v
20:)
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