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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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510:. 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
3002:"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
514:
Analysis of graphs (predicting and explaining behavior)
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490:The material includes the study and application of
2839:"Student Score Distributions, AP Exams - May 2018"
1002:
3171:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2021"
3143:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2020"
3115:"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2019"
1003:{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}
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2803:"AP Calculus AB May 2017 Score Distributions"
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3278:"2006, 2007 AP Calculus Course Description"
3225:"2018 AP Exam Dates | The Princeton Review"
2725:"2006, 2007 AP Calculus Course Description"
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3283:. College Board. 2005. Archived from
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2730:. College Board. 2005. Archived from
7:
3214:" (PDF). Retrieved January 12, 2024.
3201:" (PDF). Retrieved January 12, 2024.
3091:" (PDF). Retrieved January 12, 2024.
3057:" (PDF). Retrieved January 12, 2024.
2946:" (PDF). Retrieved January 12, 2024.
2933:" (PDF). Retrieved January 12, 2024.
2920:" (PDF). Retrieved January 12, 2024.
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196:Physics C: Electricity and Magnetism
498:, and graphical analysis including
106:Comparative Government and Politics
22:This article is part of a series on
2537:Multiple-Choice, Section I Part B
2534:Multiple-Choice, Section I Part A
912:Part of a series of articles about
231:Studio Art (2-D, 3-D, and Drawing)
126:English Literature and Composition
14:
3560:Genetics and evolutionary biology
2543:Free-Response, Section II Part B
2540:Free-Response, Section II Part A
523:Asymptotic and unbounded behavior
3068:"The 2022 AP Calculus BC scores"
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1866:According to the College Board,
606:Separable differential equations
121:English Language and Composition
3564:Cellular and molecular biology
3311:. College Board. Archived from
3309:"AP: The Grade-Setting Process"
3255:. College Board. Archived from
2976:. College Board. Archived from
2762:. College Board. Archived from
591:Fundamental theorem of calculus
1909:calculations using integration
997:
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408:covers basic introductions to
311:Music Listening and Literature
282:International English Language
221:Spanish Literature and Culture
1:
3026:"STUDENT SCORE DISTRIBUTIONS"
2894:"Student Score Distributions"
2870:"Student Score Distributions"
1297:Integral of inverse functions
161:Japanese Language and Culture
60:Research (AP Capstone Part 2)
37: •
3376:Inside Interesting Integrals
327:Russian Language and Culture
236:U.S. Government and Politics
216:Spanish Language and Culture
156:Italian Language and Culture
101:Chinese Language and Culture
55:Seminar (AP Capstone Part 1)
3212:STUDENT SCORE DISTRIBUTIONS
3199:STUDENT SCORE DISTRIBUTIONS
3102:2024 AP Score Distributions
3089:STUDENT SCORE DISTRIBUTIONS
3055:STUDENT SCORE DISTRIBUTIONS
2957:2024 AP Score Distributions
2944:STUDENT SCORE DISTRIBUTIONS
2931:STUDENT SCORE DISTRIBUTIONS
2918:STUDENT SCORE DISTRIBUTIONS
1715:Calculus on Euclidean space
1138:Logarithmic differentiation
393:) is a set of two distinct
146:German Language and Culture
141:French Language and Culture
116:Computer Science Principles
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3665:Probability and statistics
3104:". Retrieved July 8, 2024.
2959:". Retrieved July 8, 2024.
3716:AP courses in mathematics
3435:
2236:AB sub-score distribution
1449:Summand limit (term test)
2399:% of Scores 3 or Higher
2115:% of Scores 3 or Higher
1133:Implicit differentiation
1123:Differentiation notation
1050:Inverse function theorem
788:% of Scores 3 or Higher
584:Numerical approximations
553:Higher order derivatives
191:Physics 2: Algebra-Based
186:Physics 1: Algebra-Based
76:African American Studies
3460:Artificial intelligence
3229:www.princetonreview.com
2675:AP Physics C: Mechanics
1591:Helmholtz decomposition
3690:Structural engineering
3630:Mechanical engineering
3603:Western and South Asia
2604:the later two thirds.
1873:
1856:Multivariable Calculus
1725:Limit of distributions
1545:Directional derivative
1206:Faà di Bruno's formula
1004:
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261:World History: Ancient
3555:Environmental science
3440:Aerospace engineering
2785:"Course Descriptions"
1809:Mathematical analysis
1720:Generalized functions
1405:arithmetico-geometric
1251:Leibniz integral rule
1005:
452:AP Calculus AB is an
246:World History: Modern
131:Environmental Science
3374:Nahin, Paul (2014).
2689:Glossary of calculus
2667:United States portal
1913:Integration by parts
1896:Parametric equations
1814:Nonstandard analysis
1287:Lebesgue integration
1157:Rules and identities
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434:parametric equations
426:integration by parts
201:Physics C: Mechanics
91:Calculus (AB and BC)
2477:Number of Students
2451:Standard Deviation
2202:Number of Students
2173:Standard Deviation
1485:Cauchy condensation
1292:Contour integration
1018:Fundamental theorem
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875:Number of Students
846:Standard Deviation
596:Antidifferentiation
520:(one and two sided)
518:Limits of functions
329:(discontinued 2010)
323:(discontinued 1973)
317:(discontinued 2014)
308:(discontinued 2012)
302:(discontinued 2009)
296:(discontinued 1983)
290:(discontinued 2009)
284:(discontinued 2002)
278:(discontinued 2009)
276:Computer Science AB
3726:Advanced Placement
3035:on August 19, 2013
2653:Mathematics portal
2522:questions and six
1933:rational functions
1918:Improper integrals
1657:Partial derivative
1586:generalized Stokes
1480:Alternating series
1361:Reduction formulae
1336:tangent half-angle
1323:Cylindrical shells
1246:Integral transform
1241:Lists of integrals
1045:Mean value theorem
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454:Advanced Placement
395:Advanced Placement
367:Advanced Placement
111:Computer Science A
28:Advanced Placement
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3675:Quantum computing
3505:Computer hardware
3500:Clinical research
3495:Civil engineering
2846:The College Board
2700:Stand and Deliver
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68:Current subjects
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3336:AP Calculus AB
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377:(also known as
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151:Human Geography
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3014:on 2018-07-25.
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2474:
2473:
2470:
2467:
2464:
2461:
2458:
2455:
2452:
2448:
2447:
2444:
2441:
2438:
2435:
2432:
2429:
2426:
2422:
2421:
2418:
2415:
2412:
2409:
2406:
2403:
2400:
2396:
2395:
2392:
2389:
2386:
2383:
2380:
2377:
2374:
2370:
2369:
2366:
2363:
2360:
2357:
2354:
2351:
2348:
2344:
2343:
2340:
2337:
2334:
2331:
2328:
2325:
2322:
2318:
2317:
2314:
2311:
2308:
2305:
2302:
2299:
2296:
2292:
2291:
2288:
2285:
2282:
2279:
2276:
2273:
2270:
2266:
2265:
2262:
2259:
2256:
2253:
2250:
2247:
2244:
2237:
2234:
2227:
2226:
2224:
2221:
2218:
2215:
2212:
2209:
2206:
2203:
2199:
2198:
2195:
2192:
2189:
2186:
2183:
2180:
2177:
2174:
2170:
2169:
2166:
2163:
2160:
2157:
2154:
2151:
2148:
2145:
2141:
2140:
2137:
2134:
2131:
2128:
2125:
2122:
2119:
2116:
2112:
2111:
2108:
2105:
2102:
2099:
2096:
2093:
2090:
2087:
2083:
2082:
2079:
2076:
2073:
2070:
2067:
2064:
2061:
2058:
2054:
2053:
2050:
2047:
2044:
2041:
2038:
2035:
2032:
2029:
2025:
2024:
2021:
2018:
2015:
2012:
2009:
2006:
2003:
2000:
1996:
1995:
1992:
1989:
1986:
1983:
1980:
1977:
1974:
1971:
1967:
1966:
1963:
1960:
1957:
1954:
1951:
1948:
1945:
1942:
1936:
1935:
1925:
1920:
1915:
1910:
1904:
1898:
1893:
1888:
1877:
1874:
1863:
1860:
1850:
1849:
1847:
1846:
1839:
1832:
1824:
1821:
1820:
1817:
1816:
1811:
1806:
1801:
1799:List of topics
1796:
1791:
1786:
1780:
1775:
1774:
1771:
1770:
1767:
1766:
1761:
1756:
1751:
1745:
1740:
1739:
1736:
1735:
1730:
1729:
1728:
1727:
1722:
1717:
1707:
1702:
1701:
1698:
1697:
1692:
1691:
1690:
1689:
1684:
1679:
1674:
1669:
1664:
1659:
1651:
1650:
1646:
1645:
1644:
1643:
1638:
1633:
1628:
1620:
1619:
1613:
1606:
1605:
1602:
1601:
1596:
1595:
1594:
1593:
1588:
1583:
1578:
1573:
1568:
1560:
1559:
1555:
1554:
1553:
1552:
1547:
1542:
1537:
1532:
1527:
1517:
1510:
1509:
1506:
1505:
1500:
1499:
1498:
1497:
1492:
1487:
1482:
1477:
1471:
1466:
1461:
1456:
1451:
1443:
1442:
1436:
1435:
1434:
1433:
1428:
1423:
1418:
1413:
1408:
1393:
1386:
1385:
1382:
1381:
1376:
1375:
1374:
1373:
1368:
1363:
1358:
1356:Changing order
1353:
1348:
1343:
1325:
1320:
1315:
1307:
1306:
1305:Integration by
1302:
1301:
1300:
1299:
1294:
1289:
1284:
1279:
1269:
1267:Antiderivative
1261:
1260:
1256:
1255:
1254:
1253:
1248:
1243:
1233:
1226:
1225:
1222:
1221:
1216:
1215:
1214:
1213:
1208:
1203:
1198:
1193:
1188:
1183:
1178:
1173:
1168:
1160:
1159:
1153:
1152:
1151:
1150:
1145:
1140:
1135:
1130:
1125:
1117:
1116:
1112:
1111:
1110:
1109:
1108:
1107:
1102:
1097:
1087:
1074:
1073:
1067:
1060:
1059:
1056:
1055:
1053:
1052:
1047:
1042:
1036:
1034:
1033:
1028:
1022:
1021:
1020:
1012:
1011:
999:
996:
993:
990:
987:
984:
981:
978:
975:
972:
969:
966:
962:
959:
956:
952:
949:
943:
938:
934:
924:
921:
920:
914:
913:
906:
905:AP Calculus BC
903:
900:
899:
897:
894:
891:
888:
885:
882:
879:
876:
872:
871:
868:
865:
862:
859:
856:
853:
850:
847:
843:
842:
839:
836:
833:
830:
827:
824:
821:
818:
814:
813:
810:
807:
804:
801:
798:
795:
792:
789:
785:
784:
781:
778:
775:
772:
769:
766:
763:
760:
756:
755:
752:
749:
746:
743:
740:
737:
734:
731:
727:
726:
723:
720:
717:
714:
711:
708:
705:
702:
698:
697:
694:
691:
688:
685:
682:
679:
676:
673:
669:
668:
665:
662:
659:
656:
653:
650:
647:
644:
640:
639:
636:
633:
630:
627:
624:
621:
618:
615:
609:
608:
603:
598:
593:
588:
587:
586:
581:
578:
573:
570:
560:
559:
558:
555:
550:
545:
540:
537:
529:
524:
521:
515:
487:
484:
469:
466:
449:
448:AP Calculus AB
446:
422:AP Calculus BC
406:AP Calculus AB
362:
361:
359:
358:
351:
344:
336:
333:
332:
331:
330:
324:
318:
312:
309:
303:
297:
291:
285:
279:
270:
269:
265:
264:
263:
262:
256:
255:
254:In development
251:
250:
249:
248:
243:
238:
233:
228:
223:
218:
213:
208:
203:
198:
193:
188:
183:
178:
176:Microeconomics
173:
171:Macroeconomics
168:
163:
158:
153:
148:
143:
138:
133:
128:
123:
118:
113:
108:
103:
98:
93:
88:
83:
78:
70:
69:
65:
64:
63:
62:
57:
49:
48:
42:
41:
31:
30:
24:
23:
15:
13:
10:
9:
6:
4:
3:
2:
3738:
3727:
3724:
3722:
3719:
3717:
3714:
3713:
3711:
3696:
3693:
3691:
3688:
3686:
3683:
3681:
3678:
3676:
3673:
3671:
3668:
3666:
3663:
3661:
3658:
3656:
3653:
3651:
3648:
3646:
3643:
3641:
3638:
3636:
3633:
3631:
3628:
3626:
3623:
3621:
3618:
3616:
3613:
3611:
3608:
3604:
3601:
3599:
3596:
3594:
3591:
3589:
3586:
3584:
3581:
3580:
3578:
3574:
3571:
3569:
3566:
3565:
3563:
3561:
3558:
3556:
3553:
3551:
3548:
3544:
3541:
3539:
3536:
3535:
3533:
3531:
3528:
3526:
3523:
3521:
3518:
3516:
3513:
3511:
3508:
3506:
3503:
3501:
3498:
3496:
3493:
3491:
3488:
3486:
3483:
3481:
3478:
3476:
3473:
3471:
3468:
3466:
3463:
3461:
3458:
3456:
3453:
3451:
3448:
3446:
3443:
3441:
3438:
3437:
3434:
3430:
3426:
3418:
3413:
3411:
3406:
3404:
3399:
3398:
3395:
3387:
3385:9781493912766
3381:
3377:
3372:
3371:
3367:
3361:
3358:
3356:
3353:
3352:
3350:
3346:
3343:
3341:
3338:
3337:
3335:
3334:
3330:
3315:on 2008-12-18
3314:
3310:
3304:
3301:
3290:on 2008-07-20
3286:
3279:
3273:
3270:
3259:on 2008-12-19
3258:
3254:
3250:
3244:
3241:
3230:
3226:
3220:
3217:
3213:
3207:
3204:
3200:
3194:
3191:
3179:
3178:College Board
3172:
3166:
3163:
3151:
3150:College Board
3144:
3138:
3135:
3123:
3122:College Board
3116:
3110:
3107:
3103:
3097:
3094:
3090:
3084:
3081:
3069:
3063:
3060:
3056:
3050:
3047:
3031:
3027:
3021:
3018:
3010:
3003:
2997:
2995:
2991:
2980:on 2008-12-19
2979:
2975:
2971:
2965:
2962:
2958:
2952:
2949:
2945:
2939:
2936:
2932:
2926:
2923:
2919:
2913:
2910:
2895:
2889:
2886:
2871:
2865:
2863:
2859:
2847:
2840:
2834:
2832:
2830:
2826:
2815:on 2018-03-26
2811:
2804:
2797:
2794:
2786:
2780:
2777:
2766:on 2008-12-19
2765:
2761:
2757:
2751:
2748:
2737:on 2008-07-20
2733:
2726:
2720:
2718:
2714:
2707:
2702:
2701:
2697:
2695:
2692:
2690:
2687:
2685:
2682:
2680:
2676:
2673:
2672:
2668:
2657:
2654:
2648:
2643:
2640:
2634:
2629:
2624:
2622:
2618:
2614:
2607:
2605:
2601:
2593:
2590:
2587:
2584:
2581:
2580:
2576:
2573:
2570:
2567:
2565:Time Allowed
2564:
2563:
2559:
2556:
2553:
2550:
2547:
2546:
2542:
2539:
2536:
2533:
2531:
2530:
2527:
2525:
2524:free response
2521:
2513:
2511:
2504:
2497:
2494:
2491:
2488:
2485:
2482:
2479:
2476:
2475:
2471:
2468:
2465:
2462:
2459:
2456:
2453:
2450:
2449:
2445:
2442:
2439:
2436:
2433:
2430:
2427:
2424:
2423:
2419:
2416:
2413:
2410:
2407:
2404:
2401:
2398:
2397:
2393:
2390:
2387:
2384:
2381:
2378:
2375:
2372:
2371:
2367:
2364:
2361:
2358:
2355:
2352:
2349:
2346:
2345:
2341:
2338:
2335:
2332:
2329:
2326:
2323:
2320:
2319:
2315:
2312:
2309:
2306:
2303:
2300:
2297:
2294:
2293:
2289:
2286:
2283:
2280:
2277:
2274:
2271:
2268:
2267:
2263:
2260:
2257:
2254:
2251:
2248:
2245:
2242:
2241:
2235:
2233:
2225:
2222:
2219:
2216:
2213:
2210:
2207:
2204:
2201:
2200:
2196:
2193:
2190:
2187:
2184:
2181:
2178:
2175:
2172:
2171:
2167:
2164:
2161:
2158:
2155:
2152:
2149:
2146:
2143:
2142:
2138:
2135:
2132:
2129:
2126:
2123:
2120:
2117:
2114:
2113:
2109:
2106:
2103:
2100:
2097:
2094:
2091:
2088:
2085:
2084:
2080:
2077:
2074:
2071:
2068:
2065:
2062:
2059:
2056:
2055:
2051:
2048:
2045:
2042:
2039:
2036:
2033:
2030:
2027:
2026:
2022:
2019:
2016:
2013:
2010:
2007:
2004:
2001:
1998:
1997:
1993:
1990:
1987:
1984:
1981:
1978:
1975:
1972:
1969:
1968:
1964:
1961:
1958:
1955:
1952:
1949:
1946:
1943:
1940:
1939:
1934:
1931:to integrate
1930:
1926:
1924:
1921:
1919:
1916:
1914:
1911:
1908:
1905:
1902:
1899:
1897:
1894:
1892:
1891:Taylor series
1889:
1886:
1883:
1882:
1881:
1876:Topic outline
1875:
1872:
1867:
1861:
1859:
1857:
1845:
1840:
1838:
1833:
1831:
1826:
1825:
1823:
1822:
1815:
1812:
1810:
1807:
1805:
1802:
1800:
1797:
1795:
1792:
1790:
1787:
1785:
1782:
1781:
1773:
1772:
1765:
1762:
1760:
1757:
1755:
1752:
1750:
1747:
1746:
1738:
1737:
1726:
1723:
1721:
1718:
1716:
1713:
1712:
1711:
1710:
1700:
1699:
1688:
1685:
1683:
1680:
1678:
1675:
1673:
1670:
1668:
1667:Line integral
1665:
1663:
1660:
1658:
1655:
1654:
1653:
1652:
1647:
1642:
1639:
1637:
1634:
1632:
1629:
1627:
1624:
1623:
1622:
1621:
1616:
1610:
1609:Multivariable
1604:
1603:
1592:
1589:
1587:
1584:
1582:
1579:
1577:
1574:
1572:
1569:
1567:
1564:
1563:
1562:
1561:
1556:
1551:
1548:
1546:
1543:
1541:
1538:
1536:
1533:
1531:
1528:
1526:
1523:
1522:
1521:
1520:
1514:
1508:
1507:
1496:
1493:
1491:
1488:
1486:
1483:
1481:
1478:
1476:
1472:
1470:
1467:
1465:
1462:
1460:
1457:
1455:
1452:
1450:
1447:
1446:
1445:
1444:
1441:
1437:
1432:
1429:
1427:
1424:
1422:
1419:
1417:
1414:
1412:
1409:
1406:
1402:
1399:
1398:
1397:
1396:
1390:
1384:
1383:
1372:
1369:
1367:
1364:
1362:
1359:
1357:
1354:
1352:
1349:
1347:
1344:
1341:
1337:
1333:
1332:trigonometric
1329:
1326:
1324:
1321:
1319:
1316:
1314:
1311:
1310:
1309:
1308:
1303:
1298:
1295:
1293:
1290:
1288:
1285:
1283:
1280:
1277:
1273:
1270:
1268:
1265:
1264:
1263:
1262:
1257:
1252:
1249:
1247:
1244:
1242:
1239:
1238:
1237:
1236:
1230:
1224:
1223:
1212:
1209:
1207:
1204:
1202:
1199:
1197:
1194:
1192:
1189:
1187:
1184:
1182:
1179:
1177:
1174:
1172:
1169:
1167:
1164:
1163:
1162:
1161:
1158:
1154:
1149:
1146:
1144:
1143:Related rates
1141:
1139:
1136:
1134:
1131:
1129:
1126:
1124:
1121:
1120:
1119:
1118:
1113:
1106:
1103:
1101:
1100:of a function
1098:
1096:
1095:infinitesimal
1093:
1092:
1091:
1088:
1085:
1081:
1078:
1077:
1076:
1075:
1070:
1064:
1058:
1057:
1051:
1048:
1046:
1043:
1041:
1038:
1037:
1032:
1029:
1027:
1024:
1023:
1019:
1016:
1015:
1014:
1013:
994:
988:
985:
979:
973:
970:
967:
964:
957:
950:
947:
941:
936:
932:
923:
922:
919:
915:
911:
910:
904:
898:
895:
892:
889:
886:
883:
880:
877:
874:
873:
869:
866:
863:
860:
857:
854:
851:
848:
845:
844:
840:
837:
834:
831:
828:
825:
822:
819:
816:
815:
811:
808:
805:
802:
799:
796:
793:
790:
787:
786:
782:
779:
776:
773:
770:
767:
764:
761:
758:
757:
753:
750:
747:
744:
741:
738:
735:
732:
729:
728:
724:
721:
718:
715:
712:
709:
706:
703:
700:
699:
695:
692:
689:
686:
683:
680:
677:
674:
671:
670:
666:
663:
660:
657:
654:
651:
648:
645:
642:
641:
637:
634:
631:
628:
625:
622:
619:
616:
613:
612:
607:
604:
602:
599:
597:
594:
592:
589:
585:
582:
579:
577:
574:
571:
569:
566:
565:
564:
561:
556:
554:
551:
549:
546:
544:
543:As a function
541:
538:
535:
534:
533:
530:
528:
525:
522:
519:
516:
513:
512:
511:
509:
505:
501:
497:
493:
486:Topic outline
485:
482:
477:
475:
474:College Board
467:
465:
462:
458:
455:
447:
445:
443:
439:
435:
431:
430:Taylor series
427:
423:
419:
415:
411:
407:
403:
402:College Board
399:
396:
392:
388:
384:
380:
376:
372:
368:
357:
352:
350:
345:
343:
338:
337:
335:
334:
328:
325:
322:
319:
316:
313:
310:
307:
306:Latin: Vergil
304:
301:
298:
295:
292:
289:
286:
283:
280:
277:
274:
273:
272:
271:
266:
260:
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40:
36:
33:
32:
29:
25:
21:
20:
3534:Engineering
3485:Cell biology
3455:Architecture
3378:. Springer.
3375:
3317:. Retrieved
3313:the original
3303:
3292:. Retrieved
3285:the original
3272:
3261:. Retrieved
3257:the original
3252:
3243:
3232:. Retrieved
3228:
3219:
3206:
3193:
3181:. Retrieved
3165:
3153:. Retrieved
3137:
3125:. Retrieved
3109:
3096:
3083:
3071:. Retrieved
3062:
3049:
3037:. Retrieved
3030:the original
3020:
3009:the original
2982:. Retrieved
2978:the original
2973:
2964:
2951:
2938:
2925:
2912:
2900:. Retrieved
2888:
2876:. Retrieved
2851:December 24,
2849:. Retrieved
2845:
2817:. Retrieved
2810:the original
2796:
2779:
2768:. Retrieved
2764:the original
2759:
2750:
2739:. Retrieved
2732:the original
2698:
2619:
2615:
2611:
2602:
2599:
2517:
2508:
2230:
1879:
1869:
1865:
1853:
1328:Substitution
1090:Differential
1063:Differential
576:Applications
548:Applications
489:
479:
471:
451:
444:functions).
421:
405:
390:
387:AB / BC Calc
386:
383:Calc AB / BC
382:
378:
374:
370:
366:
365:
241:U.S. History
181:Music Theory
90:
3655:Ornithology
3640:Meteorology
3625:Mathematics
3615:Ichthyology
3450:Archaeology
3445:Agriculture
3429:engineering
3253:Calculus AB
2974:Calculus BC
2760:Calculus AB
2703:(1988 film)
2577:60 minutes
2574:30 minutes
2571:45 minutes
2568:60 minutes
1784:Precalculus
1777:Miscellanea
1742:Specialized
1649:Definitions
1416:Alternating
1259:Definitions
1072:Definitions
532:Derivatives
496:integration
461:precalculus
414:derivatives
206:Precalculus
81:Art History
46:AP Capstone
3710:Categories
3670:Psychiatry
3579:Geography
3550:Entomology
3319:2008-11-29
3294:2008-11-29
3263:2008-11-29
3249:"The Exam"
3234:2018-08-20
2984:2008-11-29
2819:2017-06-22
2770:2008-11-29
2741:2008-11-29
2708:References
1907:Arc length
1887:for series
1764:Variations
1759:Stochastic
1749:Fractional
1618:Formalisms
1581:Divergence
1550:Identities
1530:Divergence
1080:Derivative
1031:Continuity
580:Techniques
572:Properties
557:Techniques
539:At a point
527:Continuity
508:continuity
504:asymptotes
389:or simply
226:Statistics
211:Psychology
3525:Economics
3490:Chemistry
3465:Astronomy
1754:Malliavin
1641:Geometric
1540:Laplacian
1490:Dirichlet
1401:Geometric
986:−
933:∫
563:Integrals
418:integrals
321:Physics C
315:Physics B
96:Chemistry
3721:Calculus
3695:Virology
3680:Robotics
3645:Mycology
3635:Medicine
3480:Calculus
2625:See also
2498:135,458
2495:120,276
2492:124,607
2486:139,195
2483:139,376
2480:132,505
2223:135,458
2220:120,238
2217:124,599
2214:127,864
2211:139,195
2208:139,376
2205:132,514
1794:Glossary
1704:Advanced
1682:Jacobian
1636:Exterior
1566:Gradient
1558:Theorems
1525:Gradient
1464:Integral
1426:Binomial
1411:Harmonic
1276:improper
1272:Integral
1229:Integral
1211:Reynolds
1186:Quotient
1115:Concepts
951:′
918:Calculus
896:273,987
893:268,352
890:251,639
887:266,430
884:300,659
881:308,538
878:316,099
457:calculus
398:calculus
375:Calculus
3660:Physics
3610:Geology
3520:Ecology
3470:Biology
3425:science
3183:20 July
3155:20 July
3039:June 9,
2902:June 9,
2878:July 9,
2608:Scoring
2505:AP Exam
1871:course.
1862:Purpose
1789:History
1687:Hessian
1576:Stokes'
1571:Green's
1403: (
1330: (
1274: (
1196:Inverse
1171:Product
1082: (
536:Concept
468:Purpose
391:AB / BC
379:AP Calc
86:Biology
3475:Botany
3382:
3127:9 July
3073:7 July
2514:Format
2420:84.8%
2417:81.2%
2414:80.4%
2408:86.2%
2405:84.8%
2402:85.0%
2365:12.2%
2362:13.0%
2350:10.0%
2342:18.8%
2339:11.8%
2336:16.0%
2330:13.2%
2327:15.9%
2324:14.1%
2316:19.6%
2313:20.9%
2310:17.7%
2304:23.5%
2301:20.2%
2298:22.5%
2290:46.4%
2287:48.5%
2284:46.7%
2278:49.5%
2275:48.7%
2272:48.4%
2243:Score
2136:78.5%
2133:76.9%
2130:75.2%
2127:81.6%
2124:81.0%
2121:79.7%
2118:80.6%
2078:15.2%
2075:16.4%
2072:18.2%
2069:14.1%
2066:13.9%
2063:14.6%
2060:14.3%
2049:19.0%
2046:20.1%
2043:20.4%
2040:19.4%
2037:19.5%
2034:20.7%
2031:19.9%
2020:15.9%
2017:15.6%
2014:16.5%
2011:17.6%
2008:18.5%
2005:18.6%
2002:18.1%
1991:43.5%
1988:41.2%
1985:38.3%
1982:44.6%
1979:43.0%
1976:40.4%
1973:42.6%
1941:Score
1927:Using
1631:Tensor
1626:Matrix
1513:Vector
1431:Taylor
1389:Series
1026:Limits
809:58.0%
806:55.7%
803:51.0%
800:61.4%
797:58.4%
794:57.7%
791:57.5%
780:20.3%
777:21.7%
774:23.7%
771:14.5%
768:18.3%
762:20.4%
751:21.7%
748:22.6%
745:25.3%
742:24.1%
739:23.3%
736:22.4%
722:19.4%
719:19.1%
716:19.3%
713:21.0%
710:20.6%
704:20.8%
693:16.2%
690:16.1%
687:14.1%
684:20.9%
681:18.7%
678:17.3%
664:22.4%
661:20.4%
658:17.6%
655:19.5%
652:19.1%
649:19.4%
646:18.7%
614:Score
506:, and
500:limits
440:, and
416:, and
410:limits
39:Awards
3288:(PDF)
3281:(PDF)
3174:(PDF)
3146:(PDF)
3118:(PDF)
3033:(PDF)
3012:(PDF)
3005:(PDF)
2897:(PDF)
2873:(PDF)
2842:(PDF)
2813:(PDF)
2806:(PDF)
2788:(PDF)
2735:(PDF)
2728:(PDF)
2472:1.26
2469:1.30
2466:1.31
2460:1.18
2457:1.23
2454:1.21
2446:3.91
2443:3.92
2440:3.85
2434:4.05
2431:3.97
2428:4.00
2425:Mean
2394:6.6%
2391:6.7%
2388:6.6%
2382:4.2%
2379:5.3%
2376:4.9%
2368:8.6%
2356:9.7%
2353:9.9%
2264:2023
2261:2022
2258:2021
2255:2020
2252:2019
2249:2018
2246:2017
2197:1.27
2194:1.32
2191:1.33
2188:1.33
2185:1.25
2182:1.27
2179:1.28
2176:1.28
2168:3.87
2165:3.75
2162:3.68
2159:3.62
2156:3.84
2153:3.81
2150:3.73
2147:3.79
2144:Mean
2107:6.3%
2104:6.8%
2101:6.6%
2098:4.3%
2095:5.2%
2092:5.6%
2089:5.3%
1965:2024
1962:2023
1959:2022
1956:2021
1953:2020
1950:2019
1947:2018
1944:2017
1454:Ratio
1421:Power
1340:Euler
1318:Discs
1313:Parts
1181:Power
1176:Chain
1105:total
870:1.35
867:1.44
864:1.44
861:1.41
858:1.36
855:1.38
852:1.40
849:1.40
841:3.21
838:2.99
835:2.91
832:2.77
829:3.07
826:2.97
823:2.94
820:2.93
817:Mean
638:2024
635:2023
632:2022
629:2021
626:2020
623:2019
620:2018
617:2017
166:Latin
35:Exams
3427:and
3380:ISBN
3185:2023
3157:2023
3129:2020
3075:2022
3041:2021
2904:2021
2880:2020
2853:2022
2677:and
2591:Yes
2588:Yes
2489:N/A
2463:N/A
2437:N/A
2411:N/A
2385:N/A
2359:N/A
2333:N/A
2307:N/A
2281:N/A
2139:80%
2081:15%
2052:13%
2023:22%
1994:45%
1535:Curl
1495:Abel
1459:Root
812:64%
783:13%
765:20%
754:23%
733:22%
725:15%
707:21%
696:28%
675:18%
667:21%
494:and
3588:N–Z
3583:A–M
3573:M–Z
3568:0–L
3543:M–Z
3538:A–L
2617:5.
2594:No
2585:No
2554:15
2551:30
2110:5%
1858:).
1166:Sum
3712::
3251:.
3227:.
3176:.
3148:.
3120:.
2993:^
2972:.
2861:^
2844:.
2828:^
2758:.
2716:^
2560:4
2557:2
2373:1
2347:2
2321:3
2295:4
2269:5
2086:1
2057:2
2028:3
1999:4
1970:5
1338:,
1334:,
759:1
730:2
701:3
672:4
643:5
502:,
436:,
432:,
428:,
420:.
412:,
404:.
385:,
381:,
373:)
371:AP
3416:e
3409:t
3402:v
3388:.
3322:.
3297:.
3266:.
3237:.
3210:"
3197:"
3187:.
3159:.
3131:.
3100:"
3087:"
3077:.
3053:"
3043:.
2987:.
2955:"
2942:"
2929:"
2916:"
2906:.
2882:.
2855:.
2822:.
2790:.
2773:.
2744:.
1843:e
1836:t
1829:v
1407:)
1342:)
1278:)
1086:)
998:)
995:a
992:(
989:f
983:)
980:b
977:(
974:f
971:=
968:t
965:d
961:)
958:t
955:(
948:f
942:b
937:a
476::
369:(
355:e
348:t
341:v
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