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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
3018:"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
2855:"Student Score Distributions, AP Exams - May 2018"
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3187:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2021"
3159:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2020"
3131:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2019"
1014:{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}
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3294:"2006, 2007 AP Calculus Course Description"
3241:"2018 AP Exam Dates | The Princeton Review"
2741:"2006, 2007 AP Calculus Course Description"
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1939:Differential equations for logistic growth
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3299:. College Board. 2005. Archived from
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2746:. College Board. 2005. Archived from
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3230:" (PDF). Retrieved January 12, 2024.
3217:" (PDF). Retrieved January 12, 2024.
3107:" (PDF). Retrieved January 12, 2024.
3073:" (PDF). Retrieved January 12, 2024.
2962:" (PDF). Retrieved January 12, 2024.
2949:" (PDF). Retrieved January 12, 2024.
2936:" (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
2553:Multiple-Choice, Section I Part B
2550:Multiple-Choice, Section I Part A
923:Part of a series of articles about
242:Studio Art (2-D, 3-D, and Drawing)
137:English Literature and Composition
25:
3576:Genetics and evolutionary biology
2559:Free-Response, Section II Part B
2556:Free-Response, Section II Part A
534:Asymptotic and unbounded behavior
3084:"The 2022 AP Calculus BC scores"
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1882:According to the College Board,
617:Separable differential equations
132:English Language and Composition
3580:Cellular and molecular biology
3327:. College Board. Archived from
3325:"AP: The Grade-Setting Process"
3271:. College Board. Archived from
2992:. College Board. Archived from
2778:. College Board. Archived from
602:Fundamental theorem of calculus
1925:calculations using integration
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419:covers basic introductions to
322:Music Listening and Literature
293:International English Language
232:Spanish Literature and Culture
1:
3042:"STUDENT SCORE DISTRIBUTIONS"
2910:"Student Score Distributions"
2886:"Student Score Distributions"
1308:Integral of inverse functions
172:Japanese Language and Culture
71:Research (AP Capstone Part 2)
48: •
3392:Inside Interesting Integrals
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)
3228:STUDENT SCORE DISTRIBUTIONS
3215:STUDENT SCORE DISTRIBUTIONS
3118:2024 AP Score Distributions
3105:STUDENT SCORE DISTRIBUTIONS
3071:STUDENT SCORE DISTRIBUTIONS
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2960:STUDENT SCORE DISTRIBUTIONS
2947:STUDENT SCORE DISTRIBUTIONS
2934:STUDENT SCORE DISTRIBUTIONS
1731:Calculus on Euclidean space
1149:Logarithmic differentiation
404:) is a set of two distinct
157:German Language and Culture
152:French Language and Culture
127:Computer Science Principles
18:Advanced Placement Calculus
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3681:Probability and statistics
3120:". Retrieved July 8, 2024.
2975:". Retrieved July 8, 2024.
3732:AP courses in mathematics
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2252:AB sub-score distribution
1465:Summand limit (term test)
2415:% of Scores 3 or Higher
2131:% 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
3476:Artificial intelligence
3245:www.princetonreview.com
2691:AP Physics C: Mechanics
1607:Helmholtz decomposition
3706:Structural engineering
3646:Mechanical engineering
3619:Western and South Asia
2620:the later two thirds.
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1872:Multivariable Calculus
1741:Limit of distributions
1561:Directional derivative
1217:Faà di Bruno's formula
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272:World History: Ancient
3571:Environmental science
3456:Aerospace engineering
2801:"Course Descriptions"
1825:Mathematical analysis
1736:Generalized functions
1421:arithmetico-geometric
1262:Leibniz integral rule
1016:
463:AP Calculus AB is an
257:World History: Modern
142:Environmental Science
3390:Nahin, Paul (2014).
2705:Glossary of calculus
2683:United States portal
1929:Integration by parts
1912:Parametric equations
1830: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)
2493:Number of Students
2467:Standard Deviation
2218:Number of Students
2189:Standard Deviation
1501: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
3742:Advanced Placement
3051:on August 19, 2013
2669:Mathematics portal
2538:questions and six
1949:rational functions
1934:Improper integrals
1673:Partial derivative
1602:generalized Stokes
1496:Alternating series
1377:Reduction formulae
1366:Heaviside's method
1347:tangent half-angle
1334:Cylindrical shells
1257:Integral transform
1252:Lists of integrals
1056:Mean value theorem
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406:Advanced Placement
378:Advanced Placement
122:Computer Science A
39:Advanced Placement
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3521:Computer hardware
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3511:Civil engineering
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2528:
2522:
2519:
2516:
2515:
2512:
2509:
2506:
2503:
2500:
2497:
2494:
2490:
2489:
2486:
2483:
2480:
2477:
2474:
2471:
2468:
2464:
2463:
2460:
2457:
2454:
2451:
2448:
2445:
2442:
2438:
2437:
2434:
2431:
2428:
2425:
2422:
2419:
2416:
2412:
2411:
2408:
2405:
2402:
2399:
2396:
2393:
2390:
2386:
2385:
2382:
2379:
2376:
2373:
2370:
2367:
2364:
2360:
2359:
2356:
2353:
2350:
2347:
2344:
2341:
2338:
2334:
2333:
2330:
2327:
2324:
2321:
2318:
2315:
2312:
2308:
2307:
2304:
2301:
2298:
2295:
2292:
2289:
2286:
2282:
2281:
2278:
2275:
2272:
2269:
2266:
2263:
2260:
2253:
2250:
2243:
2242:
2240:
2237:
2234:
2231:
2228:
2225:
2222:
2219:
2215:
2214:
2211:
2208:
2205:
2202:
2199:
2196:
2193:
2190:
2186:
2185:
2182:
2179:
2176:
2173:
2170:
2167:
2164:
2161:
2157:
2156:
2153:
2150:
2147:
2144:
2141:
2138:
2135:
2132:
2128:
2127:
2124:
2121:
2118:
2115:
2112:
2109:
2106:
2103:
2099:
2098:
2095:
2092:
2089:
2086:
2083:
2080:
2077:
2074:
2070:
2069:
2066:
2063:
2060:
2057:
2054:
2051:
2048:
2045:
2041:
2040:
2037:
2034:
2031:
2028:
2025:
2022:
2019:
2016:
2012:
2011:
2008:
2005:
2002:
1999:
1996:
1993:
1990:
1987:
1983:
1982:
1979:
1976:
1973:
1970:
1967:
1964:
1961:
1958:
1952:
1951:
1941:
1936:
1931:
1926:
1920:
1914:
1909:
1904:
1893:
1890:
1879:
1876:
1866:
1865:
1863:
1862:
1855:
1848:
1840:
1837:
1836:
1833:
1832:
1827:
1822:
1817:
1815:List of topics
1812:
1807:
1802:
1796:
1791:
1790:
1787:
1786:
1783:
1782:
1777:
1772:
1767:
1761:
1756:
1755:
1752:
1751:
1746:
1745:
1744:
1743:
1738:
1733:
1723:
1718:
1717:
1714:
1713:
1708:
1707:
1706:
1705:
1700:
1695:
1690:
1685:
1680:
1675:
1667:
1666:
1662:
1661:
1660:
1659:
1654:
1649:
1644:
1636:
1635:
1629:
1622:
1621:
1618:
1617:
1612:
1611:
1610:
1609:
1604:
1599:
1594:
1589:
1584:
1576:
1575:
1571:
1570:
1569:
1568:
1563:
1558:
1553:
1548:
1543:
1533:
1526:
1525:
1522:
1521:
1516:
1515:
1514:
1513:
1508:
1503:
1498:
1493:
1487:
1482:
1477:
1472:
1467:
1459:
1458:
1452:
1451:
1450:
1449:
1444:
1439:
1434:
1429:
1424:
1409:
1402:
1401:
1398:
1397:
1392:
1391:
1390:
1389:
1384:
1379:
1374:
1372:Changing order
1369:
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:
24:
14:
13:
10:
9:
6:
4:
3:
2:
3754:
3743:
3740:
3738:
3735:
3733:
3730:
3729:
3727:
3712:
3709:
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:
3620:
3617:
3615:
3612:
3610:
3607:
3605:
3602:
3600:
3597:
3596:
3594:
3590:
3587:
3585:
3582:
3581:
3579:
3577:
3574:
3572:
3569:
3567:
3564:
3560:
3557:
3555:
3552:
3551:
3549:
3547:
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:
3453:
3450:
3446:
3442:
3434:
3429:
3427:
3422:
3420:
3415:
3414:
3411:
3403:
3401:9781493912766
3397:
3393:
3388:
3387:
3383:
3377:
3374:
3372:
3369:
3368:
3366:
3362:
3359:
3357:
3354:
3353:
3351:
3350:
3346:
3331:on 2008-12-18
3330:
3326:
3320:
3317:
3306:on 2008-07-20
3302:
3295:
3289:
3286:
3275:on 2008-12-19
3274:
3270:
3266:
3260:
3257:
3246:
3242:
3236:
3233:
3229:
3223:
3220:
3216:
3210:
3207:
3195:
3194:College Board
3188:
3182:
3179:
3167:
3166:College Board
3160:
3154:
3151:
3139:
3138:College Board
3132:
3126:
3123:
3119:
3113:
3110:
3106:
3100:
3097:
3085:
3079:
3076:
3072:
3066:
3063:
3047:
3043:
3037:
3034:
3026:
3019:
3013:
3011:
3007:
2996:on 2008-12-19
2995:
2991:
2987:
2981:
2978:
2974:
2968:
2965:
2961:
2955:
2952:
2948:
2942:
2939:
2935:
2929:
2926:
2911:
2905:
2902:
2887:
2881:
2879:
2875:
2863:
2856:
2850:
2848:
2846:
2842:
2831:on 2018-03-26
2827:
2820:
2813:
2810:
2802:
2796:
2793:
2782:on 2008-12-19
2781:
2777:
2773:
2767:
2764:
2753:on 2008-07-20
2749:
2742:
2736:
2734:
2730:
2723:
2718:
2717:
2713:
2711:
2708:
2706:
2703:
2701:
2698:
2696:
2692:
2689:
2688:
2684:
2673:
2670:
2664:
2659:
2656:
2650:
2645:
2640:
2638:
2634:
2630:
2623:
2621:
2617:
2609:
2606:
2603:
2600:
2597:
2596:
2592:
2589:
2586:
2583:
2581:Time Allowed
2580:
2579:
2575:
2572:
2569:
2566:
2563:
2562:
2558:
2555:
2552:
2549:
2547:
2546:
2543:
2541:
2540:free response
2537:
2529:
2527:
2520:
2513:
2510:
2507:
2504:
2501:
2498:
2495:
2492:
2491:
2487:
2484:
2481:
2478:
2475:
2472:
2469:
2466:
2465:
2461:
2458:
2455:
2452:
2449:
2446:
2443:
2440:
2439:
2435:
2432:
2429:
2426:
2423:
2420:
2417:
2414:
2413:
2409:
2406:
2403:
2400:
2397:
2394:
2391:
2388:
2387:
2383:
2380:
2377:
2374:
2371:
2368:
2365:
2362:
2361:
2357:
2354:
2351:
2348:
2345:
2342:
2339:
2336:
2335:
2331:
2328:
2325:
2322:
2319:
2316:
2313:
2310:
2309:
2305:
2302:
2299:
2296:
2293:
2290:
2287:
2284:
2283:
2279:
2276:
2273:
2270:
2267:
2264:
2261:
2258:
2257:
2251:
2249:
2241:
2238:
2235:
2232:
2229:
2226:
2223:
2220:
2217:
2216:
2212:
2209:
2206:
2203:
2200:
2197:
2194:
2191:
2188:
2187:
2183:
2180:
2177:
2174:
2171:
2168:
2165:
2162:
2159:
2158:
2154:
2151:
2148:
2145:
2142:
2139:
2136:
2133:
2130:
2129:
2125:
2122:
2119:
2116:
2113:
2110:
2107:
2104:
2101:
2100:
2096:
2093:
2090:
2087:
2084:
2081:
2078:
2075:
2072:
2071:
2067:
2064:
2061:
2058:
2055:
2052:
2049:
2046:
2043:
2042:
2038:
2035:
2032:
2029:
2026:
2023:
2020:
2017:
2014:
2013:
2009:
2006:
2003:
2000:
1997:
1994:
1991:
1988:
1985:
1984:
1980:
1977:
1974:
1971:
1968:
1965:
1962:
1959:
1956:
1955:
1950:
1947:to integrate
1946:
1942:
1940:
1937:
1935:
1932:
1930:
1927:
1924:
1921:
1918:
1915:
1913:
1910:
1908:
1907:Taylor series
1905:
1902:
1899:
1898:
1897:
1892:Topic outline
1891:
1888:
1883:
1877:
1875:
1873:
1861:
1856:
1854:
1849:
1847:
1842:
1841:
1839:
1838:
1831:
1828:
1826:
1823:
1821:
1818:
1816:
1813:
1811:
1808:
1806:
1803:
1801:
1798:
1797:
1789:
1788:
1781:
1778:
1776:
1773:
1771:
1768:
1766:
1763:
1762:
1754:
1753:
1742:
1739:
1737:
1734:
1732:
1729:
1728:
1727:
1726:
1716:
1715:
1704:
1701:
1699:
1696:
1694:
1691:
1689:
1686:
1684:
1683:Line integral
1681:
1679:
1676:
1674:
1671:
1670:
1669:
1668:
1663:
1658:
1655:
1653:
1650:
1648:
1645:
1643:
1640:
1639:
1638:
1637:
1632:
1626:
1625:Multivariable
1620:
1619:
1608:
1605:
1603:
1600:
1598:
1595:
1593:
1590:
1588:
1585:
1583:
1580:
1579:
1578:
1577:
1572:
1567:
1564:
1562:
1559:
1557:
1554:
1552:
1549:
1547:
1544:
1542:
1539:
1538:
1537:
1536:
1530:
1524:
1523:
1512:
1509:
1507:
1504:
1502:
1499:
1497:
1494:
1492:
1488:
1486:
1483:
1481:
1478:
1476:
1473:
1471:
1468:
1466:
1463:
1462:
1461:
1460:
1457:
1453:
1448:
1445:
1443:
1440:
1438:
1435:
1433:
1430:
1428:
1425:
1422:
1418:
1415:
1414:
1413:
1412:
1406:
1400:
1399:
1388:
1385:
1383:
1380:
1378:
1375:
1373:
1370:
1367:
1363:
1360:
1358:
1355:
1352:
1348:
1344:
1343:trigonometric
1340:
1337:
1335:
1332:
1330:
1327:
1325:
1322:
1321:
1320:
1319:
1314:
1309:
1306:
1304:
1301:
1299:
1296:
1294:
1291:
1288:
1284:
1281:
1279:
1276:
1275:
1274:
1273:
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:
1165:
1160:
1157:
1155:
1154:Related rates
1152:
1150:
1147:
1145:
1142:
1140:
1137:
1135:
1132:
1131:
1130:
1129:
1124:
1117:
1114:
1112:
1111:of a function
1109:
1107:
1106:infinitesimal
1104:
1103:
1102:
1099:
1096:
1092:
1089:
1088:
1087:
1086:
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:
926:
922:
921:
915:
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
496:
493:
488:
486:
485:College Board
478:
476:
473:
469:
466:
458:
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:
379:
368:
363:
361:
356:
354:
349:
348:
346:
345:
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:
277:
271:
270:
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263:
258:
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185:
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158:
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150:
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145:
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138:
135:
133:
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128:
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123:
120:
118:
115:
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110:
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100:
98:
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93:
90:
88:
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84:
83:
82:
77:
72:
69:
67:
64:
63:
62:
61:
58:
54:
51:
47:
44:
43:
40:
36:
32:
31:
19:
3550:Engineering
3501:Cell biology
3471:Architecture
3394:. Springer.
3391:
3333:. Retrieved
3329:the original
3319:
3308:. Retrieved
3301:the original
3288:
3277:. Retrieved
3273:the original
3268:
3259:
3248:. Retrieved
3244:
3235:
3222:
3209:
3197:. Retrieved
3181:
3169:. Retrieved
3153:
3141:. Retrieved
3125:
3112:
3099:
3087:. Retrieved
3078:
3065:
3053:. Retrieved
3046:the original
3036:
3025:the original
2998:. Retrieved
2994:the original
2989:
2980:
2967:
2954:
2941:
2928:
2916:. Retrieved
2904:
2892:. Retrieved
2867:December 24,
2865:. Retrieved
2861:
2833:. Retrieved
2826:the original
2812:
2795:
2784:. Retrieved
2780:the original
2775:
2766:
2755:. Retrieved
2748:the original
2714:
2635:
2631:
2627:
2618:
2615:
2533:
2524:
2246:
1895:
1885:
1881:
1869:
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:
3671:Ornithology
3656:Meteorology
3641:Mathematics
3631:Ichthyology
3466:Archaeology
3461:Agriculture
3445:engineering
3269:Calculus AB
2990:Calculus BC
2776:Calculus AB
2719:(1988 film)
2593:60 minutes
2590:30 minutes
2587:45 minutes
2584:60 minutes
1800:Precalculus
1793:Miscellanea
1758:Specialized
1665:Definitions
1432:Alternating
1270:Definitions
1083:Definitions
543:Derivatives
507:integration
472:precalculus
425:derivatives
217:Precalculus
92:Art History
57:AP Capstone
3726:Categories
3686:Psychiatry
3595:Geography
3566:Entomology
3335:2008-11-29
3310:2008-11-29
3279:2008-11-29
3265:"The Exam"
3250:2018-08-20
3000:2008-11-29
2835:2017-06-22
2786:2008-11-29
2757:2008-11-29
2724:References
1923:Arc length
1903:for series
1780:Variations
1775:Stochastic
1765:Fractional
1634:Formalisms
1597:Divergence
1566:Identities
1546: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
3541:Economics
3506:Chemistry
3481:Astronomy
1770:Malliavin
1657:Geometric
1556:Laplacian
1506:Dirichlet
1417:Geometric
997:−
944:∫
574:Integrals
429:integrals
332:Physics C
326:Physics B
107:Chemistry
3737:Calculus
3711:Virology
3696:Robotics
3661:Mycology
3651:Medicine
3496:Calculus
2641:See also
2514:135,458
2511:120,276
2508:124,607
2502:139,195
2499:139,376
2496:132,505
2239:135,458
2236:120,238
2233:124,599
2230:127,864
2227:139,195
2224:139,376
2221:132,514
1810:Glossary
1720:Advanced
1698:Jacobian
1652:Exterior
1582:Gradient
1574:Theorems
1541:Gradient
1480:Integral
1442:Binomial
1427: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
3676:Physics
3626:Geology
3536:Ecology
3486:Biology
3441:science
3199:20 July
3171:20 July
3055:June 9,
2918:June 9,
2894:July 9,
2624:Scoring
2521:AP Exam
1887:course.
1878:Purpose
1805:History
1703:Hessian
1592:Stokes'
1587:Green's
1419: (
1341: (
1285: (
1207:Inverse
1182:Product
1093: (
547:Concept
479:Purpose
402:AB / BC
390:AP Calc
97:Biology
3491:Botany
3398:
3143:9 July
3089:7 July
2530:Format
2436:84.8%
2433:81.2%
2430:80.4%
2424:86.2%
2421:84.8%
2418:85.0%
2381:12.2%
2378:13.0%
2366:10.0%
2358:18.8%
2355:11.8%
2352:16.0%
2346:13.2%
2343:15.9%
2340:14.1%
2332:19.6%
2329:20.9%
2326:17.7%
2320:23.5%
2317:20.2%
2314:22.5%
2306:46.4%
2303:48.5%
2300:46.7%
2294:49.5%
2291:48.7%
2288:48.4%
2259:Score
2152:78.5%
2149:76.9%
2146:75.2%
2143:81.6%
2140:81.0%
2137:79.7%
2134:80.6%
2094:15.2%
2091:16.4%
2088:18.2%
2085:14.1%
2082:13.9%
2079:14.6%
2076:14.3%
2065:19.0%
2062:20.1%
2059:20.4%
2056:19.4%
2053:19.5%
2050:20.7%
2047:19.9%
2036:15.9%
2033:15.6%
2030:16.5%
2027:17.6%
2024:18.5%
2021:18.6%
2018:18.1%
2007:43.5%
2004:41.2%
2001:38.3%
1998:44.6%
1995:43.0%
1992:40.4%
1989:42.6%
1957:Score
1943:Using
1647:Tensor
1642:Matrix
1529:Vector
1447:Taylor
1405: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
3304:(PDF)
3297:(PDF)
3190:(PDF)
3162:(PDF)
3134:(PDF)
3049:(PDF)
3028:(PDF)
3021:(PDF)
2913:(PDF)
2889:(PDF)
2858:(PDF)
2829:(PDF)
2822:(PDF)
2804:(PDF)
2751:(PDF)
2744:(PDF)
2488:1.26
2485:1.30
2482:1.31
2476:1.18
2473:1.23
2470:1.21
2462:3.91
2459:3.92
2456:3.85
2450:4.05
2447:3.97
2444:4.00
2441:Mean
2410:6.6%
2407:6.7%
2404:6.6%
2398:4.2%
2395:5.3%
2392:4.9%
2384:8.6%
2372:9.7%
2369:9.9%
2280:2023
2277:2022
2274:2021
2271:2020
2268:2019
2265:2018
2262:2017
2213:1.27
2210:1.32
2207:1.33
2204:1.33
2201:1.25
2198:1.27
2195:1.28
2192:1.28
2184:3.87
2181:3.75
2178:3.68
2175:3.62
2172:3.84
2169:3.81
2166:3.73
2163:3.79
2160:Mean
2123:6.3%
2120:6.8%
2117:6.6%
2114:4.3%
2111:5.2%
2108:5.6%
2105:5.3%
1981:2024
1978:2023
1975:2022
1972:2021
1969:2020
1966:2019
1963:2018
1960:2017
1470:Ratio
1437: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
3443:and
3396:ISBN
3201:2023
3173:2023
3145:2020
3091:2022
3057:2021
2920:2021
2896:2020
2869:2022
2693:and
2607:Yes
2604:Yes
2505:N/A
2479:N/A
2453:N/A
2427:N/A
2401:N/A
2375:N/A
2349:N/A
2323:N/A
2297:N/A
2155:80%
2097:15%
2068:13%
2039:22%
2010:45%
1551:Curl
1511:Abel
1475:Root
823:64%
794:13%
776:20%
765:23%
744:22%
736:15%
718:21%
707:28%
686:18%
678:21%
505:and
3604:N–Z
3599:A–M
3589:M–Z
3584:0–L
3559:M–Z
3554:A–L
2633:5.
2610:No
2601:No
2570:15
2567:30
2126:5%
1874:).
1177:Sum
3728::
3267:.
3243:.
3192:.
3164:.
3136:.
3009:^
2988:.
2877:^
2860:.
2844:^
2774:.
2732:^
2576:4
2573:2
2389:1
2363:2
2337:3
2311:4
2285:5
2102:1
2073:2
2044:3
2015:4
1986:5
1349:,
1345:,
770:1
741:2
712:3
683:4
654:5
513:,
447:,
443:,
439:,
431:.
423:,
415:.
396:,
392:,
384:)
382:AP
3432:e
3425:t
3418:v
3404:.
3338:.
3313:.
3282:.
3253:.
3226:"
3213:"
3203:.
3175:.
3147:.
3116:"
3103:"
3093:.
3069:"
3059:.
3003:.
2971:"
2958:"
2945:"
2932:"
2922:.
2898:.
2871:.
2838:.
2806:.
2789:.
2760:.
1859:e
1852:t
1845:v
1423:)
1368:)
1364:(
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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