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href="/wiki/Advanced_Placement" title="Advanced Placement">Advanced Placement</a></th></tr><tr><td class="sidebar-above" style="background: #78CDED;"> <a href="/wiki/Advanced_Placement_exams" title="Advanced Placement exams">Exams</a>    •    <a href="/wiki/Advanced_Placement_Awards" title="Advanced Placement Awards">Awards</a></td></tr><tr><th class="sidebar-heading" style="background: #BCE982; border-top: 2px solid #f9f9f9;"> <a href="/wiki/AP_Capstone" title="AP Capstone">AP Capstone</a></th></tr><tr><td class="sidebar-content" style="text-align: left;"> <ul><li><a href="/wiki/AP_Capstone#AP_Seminar" title="AP Capstone">Seminar (AP Capstone Part 1)</a></li> <li><a href="/wiki/AP_Capstone#AP_Research" title="AP Capstone">Research (AP Capstone Part 2)</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background: #BCE982; border-top: 2px solid #f9f9f9;"> Current subjects</th></tr><tr><td class="sidebar-content" style="text-align: left;"> <ul><li><a href="/wiki/AP_African_American_Studies" title="AP African American Studies">African American Studies</a></li> <li><a href="/wiki/AP_Art_History" title="AP Art History">Art History</a></li> <li><a href="/wiki/AP_Biology" title="AP Biology">Biology</a></li> <li><a class="mw-selflink selflink">Calculus (AB and BC)</a></li> <li><a href="/wiki/AP_Chemistry" title="AP Chemistry">Chemistry</a></li> <li><a href="/wiki/AP_Chinese_Language_and_Culture" title="AP Chinese Language and Culture">Chinese Language and Culture</a></li> <li><a href="/wiki/AP_Comparative_Government_and_Politics" title="AP Comparative Government and Politics">Comparative Government and Politics</a></li> <li><a href="/wiki/AP_Computer_Science_A" title="AP Computer Science A">Computer Science A</a></li> <li><a href="/wiki/AP_Computer_Science_Principles" title="AP Computer Science Principles">Computer Science Principles</a></li> <li><a href="/wiki/AP_English_Language_and_Composition" title="AP English Language and Composition">English Language and Composition</a></li> <li><a href="/wiki/AP_English_Literature_and_Composition" title="AP English Literature and Composition">English Literature and Composition</a></li> <li><a href="/wiki/AP_Environmental_Science" title="AP Environmental Science">Environmental Science</a></li> <li><a href="/wiki/AP_European_History" title="AP European History">European History</a></li> <li><a href="/wiki/AP_French_Language_and_Culture" title="AP French Language and Culture">French Language and Culture</a></li> <li><a href="/wiki/AP_German_Language_and_Culture" title="AP German Language and Culture">German Language and Culture</a></li> <li><a href="/wiki/AP_Human_Geography" title="AP Human Geography">Human Geography</a></li> <li><a href="/wiki/AP_Italian_Language_and_Culture" title="AP Italian Language and Culture">Italian Language and Culture</a></li> <li><a href="/wiki/AP_Japanese_Language_and_Culture" title="AP Japanese Language and Culture">Japanese Language and Culture</a></li> <li><a href="/wiki/AP_Latin" title="AP Latin">Latin</a></li> <li><a href="/wiki/AP_Macroeconomics" title="AP Macroeconomics">Macroeconomics</a></li> <li><a href="/wiki/AP_Microeconomics" title="AP Microeconomics">Microeconomics</a></li> <li><a href="/wiki/AP_Music_Theory" title="AP Music Theory">Music Theory</a></li> <li><a href="/wiki/AP_Physics_1" title="AP Physics 1">Physics 1: Algebra-Based</a></li> <li><a href="/wiki/AP_Physics_2" title="AP Physics 2">Physics 2: Algebra-Based</a></li> <li><a href="/wiki/AP_Physics_C:_Electricity_and_Magnetism" title="AP Physics C: Electricity and Magnetism">Physics C: Electricity and Magnetism</a></li> <li><a href="/wiki/AP_Physics_C:_Mechanics" title="AP Physics C: Mechanics">Physics C: Mechanics</a></li> <li><a href="/wiki/AP_Precalculus" title="AP Precalculus">Precalculus</a></li> <li><a href="/wiki/AP_Psychology" title="AP Psychology">Psychology</a></li> <li><a href="/wiki/AP_Spanish_Language_and_Culture" title="AP Spanish Language and Culture">Spanish Language and Culture</a></li> <li><a href="/wiki/AP_Spanish_Literature_and_Culture" title="AP Spanish Literature and Culture">Spanish Literature and Culture</a></li> <li><a href="/wiki/AP_Statistics" title="AP Statistics">Statistics</a></li> <li><a href="/wiki/AP_Studio_Art" class="mw-redirect" title="AP Studio Art">Studio Art (2-D, 3-D, and Drawing)</a></li> <li><a href="/wiki/AP_United_States_Government_and_Politics" title="AP United States Government and Politics">U.S. Government and Politics</a></li> <li><a href="/wiki/AP_United_States_History" title="AP United States History">U.S. History</a></li> <li><a href="/wiki/AP_World_History:_Modern" title="AP World History: Modern">World History: Modern</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background: #BCE982; border-top: 2px solid #f9f9f9;"> In development</th></tr><tr><td class="sidebar-content" style="text-align: left;"> <ul><li>World History: Ancient</li></ul></td> </tr><tr><th class="sidebar-heading" style="background: #BCE982; border-top: 2px solid #f9f9f9;"> Former subjects</th></tr><tr><td class="sidebar-content" style="text-align: left;"> <ul><li><a href="/wiki/AP_Computer_Science_AB" class="mw-redirect" title="AP Computer Science AB">Computer Science AB</a> (discontinued 2009)</li> <li><a href="/wiki/AP_International_English_Language" title="AP International English Language">International English Language</a> (discontinued 2002)</li> <li><a href="/wiki/AP_French_Literature" title="AP French Literature">French Literature</a> (discontinued 2009)</li> <li><a href="/wiki/AP_German#AP_German_Literature" class="mw-redirect" title="AP German">German Literature</a> (discontinued 1983)</li> <li><a href="/wiki/AP_Latin_Literature" title="AP Latin Literature">Latin Literature</a> (discontinued 2009)</li> <li><a href="/wiki/AP_Latin:_Vergil" class="mw-redirect" title="AP Latin: Vergil">Latin: Vergil</a> (discontinued 2012)</li> <li>Music Listening and Literature</li> <li><a href="/wiki/AP_Physics_B" title="AP Physics B">Physics B</a> (discontinued 2014)</li> <li><a href="/wiki/AP_Physics#AP_Physics_C" title="AP Physics">Physics C</a> (discontinued 1973)</li> <li><a href="/wiki/AP_Russian_Language_and_Culture" title="AP Russian Language and Culture">Russian Language and Culture</a> (discontinued 2010)</li></ul></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Advanced_Placement_sidebar" title="Template:Advanced Placement sidebar"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Advanced_Placement_sidebar" title="Template talk:Advanced Placement sidebar"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Advanced_Placement_sidebar" title="Special:EditPage/Template:Advanced Placement sidebar"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Advanced Placement</b> (<b>AP</b>) <b>Calculus</b> (also known as <b>AP Calc</b>, <b>Calc AB / BC</b>, <b>AB / BC Calc</b> or simply <b>AB / BC</b>) is a set of two distinct <a href="/wiki/Advanced_Placement" title="Advanced Placement">Advanced Placement</a> <a href="/wiki/Calculus" title="Calculus">calculus</a> courses and exams offered by the American nonprofit organization <a href="/wiki/College_Board" title="College Board">College Board</a>. <b>AP Calculus AB</b> covers basic introductions to <a href="/wiki/Limit_(mathematics)" title="Limit (mathematics)">limits</a>, <a href="/wiki/Derivative" title="Derivative">derivatives</a>, and <a href="/wiki/Integrals" class="mw-redirect" title="Integrals">integrals</a>. <b>AP Calculus BC</b> covers all AP Calculus AB topics plus additional topics (including <a href="/wiki/Integration_by_parts" title="Integration by parts">integration by parts</a>, <a href="/wiki/Taylor_series" title="Taylor series">Taylor series</a>, <a href="/wiki/Parametric_equation" title="Parametric equation">parametric equations</a>, <a href="/wiki/Vector_calculus" title="Vector calculus">vector calculus</a>, and <a href="/wiki/Polar_coordinate" class="mw-redirect" title="Polar coordinate">polar coordinate</a> functions). </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="AP_Calculus_AB">AP Calculus AB</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=1" title="Edit section: AP Calculus AB"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>AP Calculus AB is an <a href="/wiki/Advanced_Placement" title="Advanced Placement">Advanced Placement</a> <a href="/wiki/Calculus" title="Calculus">calculus</a> course. It is traditionally taken after <a href="/wiki/Precalculus" title="Precalculus">precalculus</a> 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. </p> <div class="mw-heading mw-heading3"><h3 id="Purpose">Purpose</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=2" title="Edit section: Purpose"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div><p> According to the <a href="/wiki/College_Board" title="College Board">College Board</a>:<style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style></p><blockquote class="templatequote"><p>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. 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.<sup id="cite_ref-collegeboard1_1-0" class="reference"><a href="#cite_note-collegeboard1-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></p></blockquote> <div class="mw-heading mw-heading3"><h3 id="Topic_outline">Topic outline</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=3" title="Edit section: Topic outline"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The material includes the study and application of <a href="/wiki/Derivative_(calculus)" class="mw-redirect" title="Derivative (calculus)">differentiation</a> and <a href="/wiki/Integral" title="Integral">integration</a>, and graphical analysis including <a href="/wiki/Limit_(mathematics)" title="Limit (mathematics)">limits</a>, <a href="/wiki/Asymptotes" class="mw-redirect" title="Asymptotes">asymptotes</a>, and <a href="/wiki/Continuous_function" title="Continuous function">continuity</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> An AP Calculus AB course is typically equivalent to one semester of college calculus.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <ul><li>Analysis of graphs (predicting and explaining behavior)</li> <li><a href="/wiki/Limit_of_a_function" title="Limit of a function">Limits of functions</a> (one and two sided)</li> <li>Asymptotic and unbounded behavior</li> <li><a href="/wiki/Continuous_function" title="Continuous function">Continuity</a></li> <li><a href="/wiki/Derivative" title="Derivative">Derivatives</a> <ul><li>Concept</li> <li>At a point</li> <li><a href="/wiki/Derivative#Derivative_as_a_function" title="Derivative">As a function</a></li> <li><a href="/wiki/Differential_calculus#Applications_of_derivatives" title="Differential calculus">Applications</a></li> <li><a href="/wiki/Derivative#Higher_derivatives" title="Derivative">Higher order derivatives</a></li> <li>Techniques</li></ul></li> <li><a href="/wiki/Integrals" class="mw-redirect" title="Integrals">Integrals</a> <ul><li><a href="/wiki/Integral#Interpretations" title="Integral">Interpretations</a></li> <li>Properties</li> <li><a href="/wiki/Integral#Applications" title="Integral">Applications</a></li> <li>Techniques</li> <li><a href="/wiki/Numerical_integration" title="Numerical integration">Numerical approximations</a></li></ul></li> <li><a href="/wiki/Fundamental_theorem_of_calculus" title="Fundamental theorem of calculus">Fundamental theorem of calculus</a></li> <li><a href="/wiki/Antiderivative" title="Antiderivative">Antidifferentiation</a></li> <li><a href="/wiki/L%27H%C3%B4pital%27s_rule" title="L'Hôpital's rule">L'Hôpital's rule</a></li> <li><a href="/wiki/Separation_of_variables" title="Separation of variables">Separable differential equations</a></li></ul> <table class="wikitable" border="1"> <tbody><tr> <th>Score </th> <th>2017<sup id="cite_ref-:3_4-0" class="reference"><a href="#cite_note-:3-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </th> <th>2018<sup id="cite_ref-secure-media.collegeboard.org_5-0" class="reference"><a href="#cite_note-secure-media.collegeboard.org-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </th> <th>2019<sup id="cite_ref-:1_6-0" class="reference"><a href="#cite_note-:1-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </th> <th>2020<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </th> <th>2021<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </th> <th>2022<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </th> <th>2023<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </th> <th>2024<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </th></tr> <tr> <th>5 </th> <td>18.7% </td> <td>19.4% </td> <td>19.1% </td> <td>19.5% </td> <td>17.6% </td> <td>20.4% </td> <td>22.4% </td> <td>21% </td></tr> <tr> <th>4 </th> <td>18% </td> <td>17.3% </td> <td>18.7% </td> <td>20.9% </td> <td>14.1% </td> <td>16.1% </td> <td>16.2% </td> <td>28% </td></tr> <tr> <th>3 </th> <td>20.8% </td> <td>21% </td> <td>20.6% </td> <td>21.0% </td> <td>19.3% </td> <td>19.1% </td> <td>19.4% </td> <td>15% </td></tr> <tr> <th>2 </th> <td>22% </td> <td>22.4% </td> <td>23.3% </td> <td>24.1% </td> <td>25.3% </td> <td>22.6% </td> <td>21.7% </td> <td>23% </td></tr> <tr> <th>1 </th> <td>20.4% </td> <td>20% </td> <td>18.3% </td> <td>14.5% </td> <td>23.7% </td> <td>21.7% </td> <td>20.3% </td> <td>13% </td></tr> <tr> <th>% of Scores 3 or Higher </th> <td>57.5% </td> <td>57.7% </td> <td>58.4% </td> <td>61.4% </td> <td>51.0% </td> <td>55.7% </td> <td>58.0% </td> <td>64% </td></tr> <tr> <th>Mean </th> <td>2.93 </td> <td>2.94 </td> <td>2.97 </td> <td>3.07 </td> <td>2.77 </td> <td>2.91 </td> <td>2.99 </td> <td>3.21 </td></tr> <tr> <th>Standard Deviation </th> <td>1.40 </td> <td>1.40 </td> <td>1.38 </td> <td>1.36 </td> <td>1.41 </td> <td>1.44 </td> <td>1.44 </td> <td>1.35 </td></tr> <tr> <th>Number of Students </th> <td>316,099 </td> <td>308,538 </td> <td>300,659 </td> <td>266,430 </td> <td>251,639 </td> <td>268,352 </td> <td>273,987 </td> <td> </td></tr> </tbody></table> <div class="mw-heading mw-heading2"><h2 id="AP_Calculus_BC">AP Calculus BC</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=4" title="Edit section: AP Calculus BC"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"><link 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class="sidebar sidebar-collapse nomobile nowraplinks plainlist"><tbody><tr><td class="sidebar-pretitle">Part of a series of articles about</td></tr><tr><th class="sidebar-title-with-pretitle" style="padding-bottom:0.25em;"><a href="/wiki/Calculus" title="Calculus">Calculus</a></th></tr><tr><td class="sidebar-image"><big><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msubsup> <msup> <mi>f</mi> <mo>′</mo> </msup> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/17d063dc86a53a2efb1fe86f4a5d47d498652766" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:25.228ex; height:6.343ex;" alt="{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}"></span></big></td></tr><tr><td class="sidebar-above" style="padding:0.15em 0.25em 0.3em;font-weight:normal;"> <ul><li><a href="/wiki/Fundamental_theorem_of_calculus" title="Fundamental theorem of calculus">Fundamental theorem</a></li></ul> <div class="hlist"> <ul><li><a href="/wiki/Limit_of_a_function" title="Limit of a function">Limits</a></li> <li><a href="/wiki/Continuous_function" title="Continuous function">Continuity</a></li></ul> </div><div class="hlist"> <ul><li><a href="/wiki/Rolle%27s_theorem" title="Rolle's theorem">Rolle's theorem</a></li> <li><a href="/wiki/Mean_value_theorem" title="Mean value theorem">Mean value theorem</a></li> <li><a href="/wiki/Inverse_function_theorem" title="Inverse function theorem">Inverse function theorem</a></li></ul> </div></td></tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base);display:block;margin-top:0.65em;"><span style="font-size:120%"><a href="/wiki/Differential_calculus" title="Differential calculus">Differential</a></span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"><table class="sidebar-subgroup"><tbody><tr><th class="sidebar-heading"> Definitions</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Derivative" title="Derivative">Derivative</a> (<a href="/wiki/Generalizations_of_the_derivative" title="Generalizations of the derivative">generalizations</a>)</li> <li><a href="/wiki/Differential_(mathematics)" title="Differential (mathematics)">Differential</a> <ul><li><a href="/wiki/Differential_(infinitesimal)" class="mw-redirect" title="Differential (infinitesimal)">infinitesimal</a></li> <li><a href="/wiki/Differential_of_a_function" title="Differential of a function">of a function</a></li> <li><a href="/wiki/Differential_of_a_function#Differentials_in_several_variables" title="Differential of a function">total</a></li></ul></li></ul></td> </tr><tr><th class="sidebar-heading"> Concepts</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Notation_for_differentiation" title="Notation for differentiation">Differentiation notation</a></li> <li><a href="/wiki/Second_derivative" title="Second derivative">Second derivative</a></li> <li><a href="/wiki/Implicit_function" title="Implicit function">Implicit differentiation</a></li> <li><a href="/wiki/Logarithmic_differentiation" title="Logarithmic differentiation">Logarithmic differentiation</a></li> <li><a href="/wiki/Related_rates" title="Related rates">Related rates</a></li> <li><a href="/wiki/Taylor%27s_theorem" title="Taylor's theorem">Taylor's theorem</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/Differentiation_rules" title="Differentiation rules">Rules and identities</a></th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Sum_rule_in_differentiation" class="mw-redirect" title="Sum rule in differentiation">Sum</a></li> <li><a href="/wiki/Product_rule" title="Product rule">Product</a></li> <li><a href="/wiki/Chain_rule" title="Chain rule">Chain</a></li> <li><a href="/wiki/Power_rule" title="Power rule">Power</a></li> <li><a href="/wiki/Quotient_rule" title="Quotient rule">Quotient</a></li> <li><a href="/wiki/L%27H%C3%B4pital%27s_rule" title="L'Hôpital's rule">L'Hôpital's rule</a></li> <li><a href="/wiki/Inverse_function_rule" title="Inverse function rule">Inverse</a></li> <li><a href="/wiki/General_Leibniz_rule" title="General Leibniz rule">General Leibniz</a></li> <li><a href="/wiki/Fa%C3%A0_di_Bruno%27s_formula" title="Faà di Bruno's formula">Faà di Bruno's formula</a></li> <li><a href="/wiki/Reynolds_transport_theorem" title="Reynolds transport theorem">Reynolds</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%"><a href="/wiki/Integral" title="Integral">Integral</a></span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"><table class="sidebar-subgroup"><tbody><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Lists_of_integrals" title="Lists of integrals">Lists of integrals</a></li> <li><a href="/wiki/Integral_transform" title="Integral transform">Integral transform</a></li> <li><a href="/wiki/Leibniz_integral_rule" title="Leibniz integral rule">Leibniz integral rule</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Definitions</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Antiderivative" title="Antiderivative">Antiderivative</a></li> <li><a href="/wiki/Integral" title="Integral">Integral</a> (<a href="/wiki/Improper_integral" title="Improper integral">improper</a>)</li> <li><a href="/wiki/Riemann_integral" title="Riemann integral">Riemann integral</a></li> <li><a href="/wiki/Lebesgue_integration" class="mw-redirect" title="Lebesgue integration">Lebesgue integration</a></li> <li><a href="/wiki/Contour_integration" title="Contour integration">Contour integration</a></li> <li><a href="/wiki/Integral_of_inverse_functions" title="Integral of inverse functions">Integral of inverse functions</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Integration by</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Integration_by_parts" title="Integration by parts">Parts</a></li> <li><a href="/wiki/Disc_integration" title="Disc integration">Discs</a></li> <li><a href="/wiki/Shell_integration" title="Shell integration">Cylindrical shells</a></li> <li><a href="/wiki/Integration_by_substitution" title="Integration by substitution">Substitution</a> (<a href="/wiki/Trigonometric_substitution" title="Trigonometric substitution">trigonometric</a>, <a href="/wiki/Tangent_half-angle_substitution" title="Tangent half-angle substitution">tangent half-angle</a>, <a href="/wiki/Euler_substitution" title="Euler substitution">Euler</a>)</li> <li><a href="/wiki/Integration_using_Euler%27s_formula" title="Integration using Euler's formula">Euler's formula</a></li> <li><a href="/wiki/Partial_fractions_in_integration" class="mw-redirect" title="Partial fractions in integration">Partial fractions</a> (<a href="/wiki/Heaviside_cover-up_method" title="Heaviside cover-up method">Heaviside's method</a>)</li> <li><a href="/wiki/Order_of_integration_(calculus)" title="Order of integration (calculus)">Changing order</a></li> <li><a href="/wiki/Integration_by_reduction_formulae" title="Integration by reduction formulae">Reduction formulae</a></li> <li><a href="/wiki/Leibniz_integral_rule#Evaluating_definite_integrals" title="Leibniz integral rule">Differentiating under the integral sign</a></li> <li><a href="/wiki/Risch_algorithm" title="Risch algorithm">Risch algorithm</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%"><a href="/wiki/Series_(mathematics)" title="Series (mathematics)">Series</a></span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"><table class="sidebar-subgroup"><tbody><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Geometric_series" title="Geometric series">Geometric</a> (<a href="/wiki/Arithmetico%E2%80%93geometric_sequence" class="mw-redirect" title="Arithmetico–geometric sequence">arithmetico-geometric</a>)</li> <li><a href="/wiki/Harmonic_series_(mathematics)" title="Harmonic series (mathematics)">Harmonic</a></li> <li><a href="/wiki/Alternating_series" title="Alternating series">Alternating</a></li> <li><a href="/wiki/Power_series" title="Power series">Power</a></li> <li><a href="/wiki/Binomial_series" title="Binomial series">Binomial</a></li> <li><a href="/wiki/Taylor_series" title="Taylor series">Taylor</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/Convergence_tests" title="Convergence tests">Convergence tests</a></th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Term_test" class="mw-redirect" title="Term test">Summand limit (term test)</a></li> <li><a href="/wiki/Ratio_test" title="Ratio test">Ratio</a></li> <li><a href="/wiki/Root_test" title="Root test">Root</a></li> <li><a href="/wiki/Integral_test_for_convergence" title="Integral test for convergence">Integral</a></li> <li><a href="/wiki/Direct_comparison_test" title="Direct comparison test">Direct comparison</a></li> <li><br /><a href="/wiki/Limit_comparison_test" title="Limit comparison test">Limit comparison</a></li> <li><a href="/wiki/Alternating_series_test" title="Alternating series test">Alternating series</a></li> <li><a href="/wiki/Cauchy_condensation_test" title="Cauchy condensation test">Cauchy condensation</a></li> <li><a href="/wiki/Dirichlet%27s_test" title="Dirichlet's test">Dirichlet</a></li> <li><a href="/wiki/Abel%27s_test" title="Abel's test">Abel</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%"><a href="/wiki/Vector_calculus" title="Vector calculus">Vector</a></span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"><table class="sidebar-subgroup"><tbody><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Gradient" title="Gradient">Gradient</a></li> <li><a href="/wiki/Divergence" title="Divergence">Divergence</a></li> <li><a href="/wiki/Curl_(mathematics)" title="Curl (mathematics)">Curl</a></li> <li><a href="/wiki/Laplace_operator" title="Laplace operator">Laplacian</a></li> <li><a href="/wiki/Directional_derivative" title="Directional derivative">Directional derivative</a></li> <li><a href="/wiki/Vector_calculus_identities" title="Vector calculus identities">Identities</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Theorems</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Gradient_theorem" title="Gradient theorem">Gradient</a></li> <li><a href="/wiki/Green%27s_theorem" title="Green's theorem">Green's</a></li> <li><a href="/wiki/Stokes%27_theorem" title="Stokes' theorem">Stokes'</a></li> <li><a href="/wiki/Divergence_theorem" title="Divergence theorem">Divergence</a></li> <li><a href="/wiki/Generalized_Stokes_theorem" title="Generalized Stokes theorem">generalized Stokes</a></li> <li><a href="/wiki/Helmholtz_decomposition" title="Helmholtz decomposition">Helmholtz decomposition</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%"><a href="/wiki/Multivariable_calculus" title="Multivariable calculus">Multivariable</a></span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"><table class="sidebar-subgroup"><tbody><tr><th class="sidebar-heading"> Formalisms</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Matrix_calculus" title="Matrix calculus">Matrix</a></li> <li><a href="/wiki/Tensor_calculus" class="mw-redirect" title="Tensor calculus">Tensor</a></li> <li><a href="/wiki/Exterior_derivative" title="Exterior derivative">Exterior</a></li> <li><a href="/wiki/Geometric_calculus" title="Geometric calculus">Geometric</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Definitions</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Partial_derivative" title="Partial derivative">Partial derivative</a></li> <li><a href="/wiki/Multiple_integral" title="Multiple integral">Multiple integral</a></li> <li><a href="/wiki/Line_integral" title="Line integral">Line integral</a></li> <li><a href="/wiki/Surface_integral" title="Surface integral">Surface integral</a></li> <li><a href="/wiki/Volume_integral" title="Volume integral">Volume integral</a></li> <li><a href="/wiki/Jacobian_matrix_and_determinant" title="Jacobian matrix and determinant">Jacobian</a></li> <li><a href="/wiki/Hessian_matrix" title="Hessian matrix">Hessian</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%">Advanced</span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"><table class="sidebar-subgroup"><tbody><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Calculus_on_Euclidean_space" title="Calculus on Euclidean space">Calculus on Euclidean space</a></li> <li><a href="/wiki/Generalized_function" title="Generalized function">Generalized functions</a></li> <li><a href="/wiki/Limit_of_distributions" title="Limit of distributions">Limit of distributions</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%">Specialized</span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"> <ul><li><a href="/wiki/Fractional_calculus" title="Fractional calculus">Fractional</a></li> <li><a href="/wiki/Malliavin_calculus" title="Malliavin calculus">Malliavin</a></li> <li><a href="/wiki/Stochastic_calculus" title="Stochastic calculus">Stochastic</a></li> <li><a href="/wiki/Calculus_of_variations" title="Calculus of variations">Variations</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;;color: var(--color-base)"><span style="font-size:120%">Miscellanea</span></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;"> <ul><li><a href="/wiki/Precalculus" title="Precalculus">Precalculus</a></li> <li><a href="/wiki/History_of_calculus" title="History of calculus">History</a></li> <li><a href="/wiki/Glossary_of_calculus" title="Glossary of calculus">Glossary</a></li> <li><a href="/wiki/List_of_calculus_topics" title="List of calculus topics">List of topics</a></li> <li><a href="/wiki/Integration_Bee" title="Integration Bee">Integration Bee</a></li> <li><a href="/wiki/Mathematical_analysis" title="Mathematical analysis">Mathematical analysis</a></li> <li><a href="/wiki/Nonstandard_analysis" title="Nonstandard analysis">Nonstandard analysis</a></li></ul></div></div></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Calculus" title="Template:Calculus"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Calculus" title="Template talk:Calculus"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Calculus" title="Special:EditPage/Template:Calculus"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table><p>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 (<a href="/wiki/Multivariable_Calculus" class="mw-redirect" title="Multivariable Calculus">Multivariable Calculus</a>). </p><div class="mw-heading mw-heading3"><h3 id="Purpose_2">Purpose</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=5" title="Edit section: Purpose"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div><p> According to the College Board, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"></p><blockquote class="templatequote"><p>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 course.<sup id="cite_ref-collegeboard1_1-1" class="reference"><a href="#cite_note-collegeboard1-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></p></blockquote> <div class="mw-heading mw-heading3"><h3 id="Topic_outline_2">Topic outline</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=6" title="Edit section: Topic outline"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>AP Calculus BC includes all of the topics covered in AP Calculus AB, as well as the following: </p> <ul><li><a href="/wiki/Convergence_tests" title="Convergence tests">Convergence tests</a> for series</li> <li><a href="/wiki/Taylor_series" title="Taylor series">Taylor series</a></li> <li><a href="/wiki/Parametric_equation" title="Parametric equation">Parametric equations</a></li> <li><a href="/wiki/Polar_coordinate_system" title="Polar coordinate system">Polar functions</a> (including arc length in polar coordinates and calculating area)</li> <li><a href="/wiki/Arc_length" title="Arc length">Arc length</a> calculations using integration</li> <li><a href="/wiki/Integration_by_parts" title="Integration by parts">Integration by parts</a></li> <li><a href="/wiki/Improper_integral" title="Improper integral">Improper integrals</a></li> <li><a href="/wiki/Logistic_function" title="Logistic function">Differential equations for logistic growth</a></li> <li>Using <a href="/wiki/Partial_fraction" class="mw-redirect" title="Partial fraction">partial fractions</a> to integrate <a href="/wiki/Rational_function" title="Rational function">rational functions</a><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup></li></ul> <table class="wikitable" border="1"> <tbody><tr> <th>Score </th> <th>2017<sup id="cite_ref-:0_13-0" class="reference"><a href="#cite_note-:0-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </th> <th>2018<sup id="cite_ref-secure-media.collegeboard.org_5-1" class="reference"><a href="#cite_note-secure-media.collegeboard.org-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </th> <th>2019<sup id="cite_ref-:1_6-1" class="reference"><a href="#cite_note-:1-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </th> <th>2020<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </th> <th>2021<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </th> <th>2022<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </th> <th>2023<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> </th> <th>2024<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> </th></tr> <tr> <th>5 </th> <td>42.6% </td> <td>40.4% </td> <td>43.0% </td> <td>44.6% </td> <td>38.3% </td> <td>41.2% </td> <td>43.5% </td> <td>45% </td></tr> <tr> <th>4 </th> <td>18.1% </td> <td>18.6% </td> <td>18.5% </td> <td>17.6% </td> <td>16.5% </td> <td>15.6% </td> <td>15.9% </td> <td>22% </td></tr> <tr> <th>3 </th> <td>19.9% </td> <td>20.7% </td> <td>19.5% </td> <td>19.4% </td> <td>20.4% </td> <td>20.1% </td> <td>19.0% </td> <td>13% </td></tr> <tr> <th>2 </th> <td>14.3% </td> <td>14.6% </td> <td>13.9% </td> <td>14.1% </td> <td>18.2% </td> <td>16.4% </td> <td>15.2% </td> <td>15% </td></tr> <tr> <th>1 </th> <td>5.3% </td> <td>5.6% </td> <td>5.2% </td> <td>4.3% </td> <td>6.6% </td> <td>6.8% </td> <td>6.3% </td> <td>5% </td></tr> <tr> <th>% of Scores 3 or Higher </th> <td>80.6% </td> <td>79.7% </td> <td>81.0% </td> <td>81.6% </td> <td>75.2% </td> <td>76.9% </td> <td>78.5% </td> <td>80% </td></tr> <tr> <th>Mean </th> <td>3.79 </td> <td>3.73 </td> <td>3.81 </td> <td>3.84 </td> <td>3.62 </td> <td>3.68 </td> <td>3.75 </td> <td>3.87 </td></tr> <tr> <th>Standard Deviation </th> <td>1.28 </td> <td>1.28 </td> <td>1.27 </td> <td>1.25 </td> <td>1.33 </td> <td>1.33 </td> <td>1.32 </td> <td>1.27 </td></tr> <tr> <th>Number of Students </th> <td>132,514 </td> <td>139,376 </td> <td>139,195 </td> <td>127,864 </td> <td>124,599 </td> <td>120,238 </td> <td>135,458 </td> <td> </td></tr> </tbody></table> <p>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 more prepared and advanced in math. The 5-rate is consistently over 40% (much higher than almost all the other AP exams). <sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:No_original_research" title="Wikipedia:No original research"><span title="The material near this tag possibly contains original research. (March 2024)">original research?</span></a></i>]</sup> </p> <div class="mw-heading mw-heading4"><h4 id="AB_sub-score_distribution">AB sub-score distribution</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=7" title="Edit section: AB sub-score distribution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" border="1"> <tbody><tr> <th>Score </th> <th>2017<sup id="cite_ref-:0_13-1" class="reference"><a href="#cite_note-:0-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </th> <th>2018<sup id="cite_ref-secure-media.collegeboard.org_5-2" class="reference"><a href="#cite_note-secure-media.collegeboard.org-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </th> <th>2019<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> </th> <th>2020<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </th> <th>2021<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </th> <th>2022<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> </th> <th>2023<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> </th></tr> <tr> <th>5 </th> <td>48.4% </td> <td>48.7% </td> <td>49.5% </td> <td>N/A </td> <td>46.7% </td> <td>48.5% </td> <td>46.4% </td></tr> <tr> <th>4 </th> <td>22.5% </td> <td>20.2% </td> <td>23.5% </td> <td>N/A </td> <td>17.7% </td> <td>20.9% </td> <td>19.6% </td></tr> <tr> <th>3 </th> <td>14.1% </td> <td>15.9% </td> <td>13.2% </td> <td>N/A </td> <td>16.0% </td> <td>11.8% </td> <td>18.8% </td></tr> <tr> <th>2 </th> <td>10.0% </td> <td>9.9% </td> <td>9.7% </td> <td>N/A </td> <td>13.0% </td> <td>12.2% </td> <td>8.6% </td></tr> <tr> <th>1 </th> <td>4.9% </td> <td>5.3% </td> <td>4.2% </td> <td>N/A </td> <td>6.6% </td> <td>6.7% </td> <td>6.6% </td></tr> <tr> <th>% of Scores 3 or Higher </th> <td>85.0% </td> <td>84.8% </td> <td>86.2% </td> <td>N/A </td> <td>80.4% </td> <td>81.2% </td> <td>84.8% </td></tr> <tr> <th>Mean </th> <td>4.00 </td> <td>3.97 </td> <td>4.05 </td> <td>N/A </td> <td>3.85 </td> <td>3.92 </td> <td>3.91 </td></tr> <tr> <th>Standard Deviation </th> <td>1.21 </td> <td>1.23 </td> <td>1.18 </td> <td>N/A </td> <td>1.31 </td> <td>1.30 </td> <td>1.26 </td></tr> <tr> <th>Number of Students </th> <td>132,505 </td> <td>139,376 </td> <td>139,195 </td> <td>N/A </td> <td>124,607 </td> <td>120,276 </td> <td>135,458 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="AP_Exam">AP Exam</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=8" title="Edit section: AP Exam"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>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 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.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Format">Format</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=9" title="Edit section: Format"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The structures of the AB and BC exams are identical. Both exams are three hours and fifteen minutes long, comprising a total of 45 <a href="/wiki/Multiple_choice" title="Multiple choice">multiple choice</a> questions and six <a href="/wiki/Free_response" class="mw-redirect" title="Free response">free response</a> questions. They are usually administered on a Monday or Tuesday morning in May.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> </p> <table class="wikitable" border="1"> <tbody><tr> <th> </th> <th>Multiple-Choice, Section I Part A </th> <th>Multiple-Choice, Section I Part B </th> <th>Free-Response, Section II Part A </th> <th>Free-Response, Section II Part B </th></tr> <tr> <th># of Questions </th> <th>30 </th> <th>15 </th> <th>2 </th> <th>4 </th></tr> <tr> <th>Time Allowed </th> <th>60 minutes </th> <th>45 minutes </th> <th>30 minutes </th> <th>60 minutes </th></tr> <tr> <th>Calculator Use </th> <th>No </th> <th>Yes </th> <th>Yes </th> <th>No </th></tr></tbody></table> <p>The two parts of the multiple choice section are timed and taken independently. </p><p>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 the later two thirds. </p> <div class="mw-heading mw-heading3"><h3 id="Scoring">Scoring</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=10" title="Edit section: Scoring"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>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.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> </p><p>The free response section is hand-graded by hundreds of AP teachers and professors each June.<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> 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 5. </p><p>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. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=11" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239009302">.mw-parser-output .portalbox{padding:0;margin:0.5em 0;display:table;box-sizing:border-box;max-width:175px;list-style:none}.mw-parser-output .portalborder{border:1px solid var(--border-color-base,#a2a9b1);padding:0.1em;background:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output .portalbox-entry{display:table-row;font-size:85%;line-height:110%;height:1.9em;font-style:italic;font-weight:bold}.mw-parser-output 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class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=12" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output 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.cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20080720151001/http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap-cd-calc-0607.pdf">"2006, 2007 AP Calculus Course Description"</a> <span class="cs1-format">(PDF)</span>. College Board. 2005. Archived from <a rel="nofollow" class="external text" href="http://collegeboard.com/prod_downloads/ap/students/calculus/ap-cd-calc-0607.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2008-07-20<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-11-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=2006%2C+2007+AP+Calculus+Course+Description&rft.pub=College+Board&rft.date=2005&rft_id=http%3A%2F%2Fcollegeboard.com%2Fprod_downloads%2Fap%2Fstudents%2Fcalculus%2Fap-cd-calc-0607.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081219070626/http://www.collegeboard.com/student/testing/ap/calculus_ab/topic.html?calcab">"Topic Outline"</a>. <i>Calculus AB</i>. College Board. Archived from <a rel="nofollow" class="external text" href="http://collegeboard.com/student/testing/ap/calculus_ab/topic.html?calcab">the original</a> on 2008-12-19<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-11-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Calculus+AB&rft.atitle=Topic+Outline&rft_id=http%3A%2F%2Fcollegeboard.com%2Fstudent%2Ftesting%2Fap%2Fcalculus_ab%2Ftopic.html%3Fcalcab&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://apcentral.collegeboard.com/apc/public/repository/ap-calculus-course-description.pdf">"Course Descriptions"</a> <span class="cs1-format">(PDF)</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Course+Descriptions&rft_id=http%3A%2F%2Fapcentral.collegeboard.com%2Fapc%2Fpublic%2Frepository%2Fap-calculus-course-description.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-:3-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-:3_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCollege_Board" class="citation web cs1">College Board. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20180326032116/https://secure-media.collegeboard.org/ap/pdf/ap17-calculus-ab-scoring-global.pdf">"AP Calculus AB May 2017 Score Distributions"</a> <span class="cs1-format">(PDF)</span>. Archived from <a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/ap/pdf/ap17-calculus-ab-scoring-global.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2018-03-26<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-06-22</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=AP+Calculus+AB+May+2017+Score+Distributions&rft.au=College+Board&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2Fap%2Fpdf%2Fap17-calculus-ab-scoring-global.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-secure-media.collegeboard.org-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-secure-media.collegeboard.org_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-secure-media.collegeboard.org_5-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-secure-media.collegeboard.org_5-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/research/2018/Student-Score-Distributions-2018.pdf">"Student Score Distributions, AP Exams - May 2018"</a> <span class="cs1-format">(PDF)</span>. <i>The College Board</i><span class="reference-accessdate">. Retrieved <span class="nowrap">December 24,</span> 2022</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+College+Board&rft.atitle=Student+Score+Distributions%2C+AP+Exams+-+May+2018&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2018%2FStudent-Score-Distributions-2018.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-:1-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-:1_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:1_6-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/research/2019/Student-Score-Distributions-2019.pdf">"Student Score Distributions"</a> <span class="cs1-format">(PDF)</span><span class="reference-accessdate">. Retrieved <span class="nowrap">July 9,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Student+Score+Distributions&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2019%2FStudent-Score-Distributions-2019.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/research/2020/Student-Score-Distributions-2020.pdf">"Student Score Distributions"</a> <span class="cs1-format">(PDF)</span><span class="reference-accessdate">. Retrieved <span class="nowrap">June 9,</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Student+Score+Distributions&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2020%2FStudent-Score-Distributions-2020.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://reports.collegeboard.org/media/pdf/2021-ap-student-score-distributions_1.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2022.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2023.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apstudents.collegeboard.org/about-ap-scores/score-distributions">2024 AP Score Distributions</a>". Retrieved July 8, 2024.</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081219081215/http://www.collegeboard.com/student/testing/ap/calculus_bc/topic.html?calcbc">"Topic Outline"</a>. <i>Calculus BC</i>. College Board. Archived from <a rel="nofollow" class="external text" href="http://collegeboard.com/student/testing/ap/calculus_bc/topic.html?calcbc">the original</a> on 2008-12-19<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-11-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Calculus+BC&rft.atitle=Topic+Outline&rft_id=http%3A%2F%2Fcollegeboard.com%2Fstudent%2Ftesting%2Fap%2Fcalculus_bc%2Ftopic.html%3Fcalcbc&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-:0-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_13-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20180725153322/https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap17-chief-reader-report-calculus.pdf">"AP Calculus AB and Calculus BC Chief Reader Report May 2017"</a> <span class="cs1-format">(PDF)</span>. Archived from <a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap17-chief-reader-report-calculus.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2018-07-25.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=AP+Calculus+AB+and+Calculus+BC+Chief+Reader+Report+May+2017&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fap%2Fap17-chief-reader-report-calculus.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20130819141428/http://https/">"STUDENT SCORE DISTRIBUTIONS"</a>. Archived from <a rel="nofollow" class="external text" href="https://www.https://secure-media.collegeboard.org/digitalServices/pdf/research/2020/Student-Score-Distributions-2020.pdf">the original</a> <span class="cs1-format">(PDF)</span> on August 19, 2013<span class="reference-accessdate">. Retrieved <span class="nowrap">June 9,</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=STUDENT+SCORE+DISTRIBUTIONS&rft_id=https%3A%2F%2Fwww.https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2020%2FStudent-Score-Distributions-2020.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://reports.collegeboard.org/media/pdf/2021-ap-student-score-distributions_1.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://twitter.com/AP_Trevor/status/1542598887558504450?s=20&t=a70qOYpBdGGcRdLzGQCZFQ">"The 2022 AP Calculus BC scores"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">7 July</span> 2022</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=The+2022+AP+Calculus+BC+scores&rft_id=https%3A%2F%2Ftwitter.com%2FAP_Trevor%2Fstatus%2F1542598887558504450%3Fs%3D20%26t%3Da70qOYpBdGGcRdLzGQCZFQ&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2023.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apstudents.collegeboard.org/about-ap-scores/score-distributions">2024 AP Score Distributions</a>". Retrieved July 8, 2024.</span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/research/2019/Student-Score-Distributions-2019.pdf">"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2019"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/College_Board" title="College Board">College Board</a><span class="reference-accessdate">. Retrieved <span class="nowrap">9 July</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=STUDENT+SCORE+DISTRIBUTIONS+%E2%80%93+AP+Exams+May+2019&rft.pub=College+Board&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2019%2FStudent-Score-Distributions-2019.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/research/2020/Student-Score-Distributions-2020.pdf">"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2020"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/College_Board" title="College Board">College Board</a><span class="reference-accessdate">. Retrieved <span class="nowrap">20 July</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=STUDENT+SCORE+DISTRIBUTIONS+%E2%80%93+AP+Exams+May+2020&rft.pub=College+Board&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2020%2FStudent-Score-Distributions-2020.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-21">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://secure-media.collegeboard.org/digitalServices/pdf/research/2021/2021-ap-student-score-distributions.pdf">"STUDENT SCORE DISTRIBUTIONS – AP Exams May 2021"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/College_Board" title="College Board">College Board</a><span class="reference-accessdate">. Retrieved <span class="nowrap">20 July</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=STUDENT+SCORE+DISTRIBUTIONS+%E2%80%93+AP+Exams+May+2021&rft.pub=College+Board&rft_id=https%3A%2F%2Fsecure-media.collegeboard.org%2FdigitalServices%2Fpdf%2Fresearch%2F2021%2F2021-ap-student-score-distributions.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-22">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2022.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2023.pdf">STUDENT SCORE DISTRIBUTIONS</a>" (PDF). Retrieved January 12, 2024.</span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.princetonreview.com/college/ap-exam-schedule">"2018 AP Exam Dates | The Princeton Review"</a>. <i>www.princetonreview.com</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2018-08-20</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.princetonreview.com&rft.atitle=2018+AP+Exam+Dates+%7C+The+Princeton+Review&rft_id=https%3A%2F%2Fwww.princetonreview.com%2Fcollege%2Fap-exam-schedule&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081219070621/http://www.collegeboard.com/student/testing/ap/calculus_ab/exam.html?calcab">"The Exam"</a>. <i>Calculus AB</i>. College Board. Archived from <a rel="nofollow" class="external text" href="http://collegeboard.com/student/testing/ap/calculus_ab/exam.html?calcab">the original</a> on 2008-12-19<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-11-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Calculus+AB&rft.atitle=The+Exam&rft_id=http%3A%2F%2Fcollegeboard.com%2Fstudent%2Ftesting%2Fap%2Fcalculus_ab%2Fexam.html%3Fcalcab&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20080720151001/http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap-cd-calc-0607.pdf">"2006, 2007 AP Calculus Course Description"</a> <span class="cs1-format">(PDF)</span>. College Board. 2005. Archived from <a rel="nofollow" class="external text" href="http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap-cd-calc-0607.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2008-07-20<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-11-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=2006%2C+2007+AP+Calculus+Course+Description&rft.pub=College+Board&rft.date=2005&rft_id=http%3A%2F%2Fwww.collegeboard.com%2Fprod_downloads%2Fap%2Fstudents%2Fcalculus%2Fap-cd-calc-0607.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-27">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081218181203/http://www.collegeboard.com/student/testing/ap/exgrd_set.html">"AP: The Grade-Setting Process"</a>. College Board. Archived from <a rel="nofollow" class="external text" href="http://www.collegeboard.com/student/testing/ap/exgrd_set.html">the original</a> on 2008-12-18<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-11-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=AP%3A+The+Grade-Setting+Process&rft.pub=College+Board&rft_id=http%3A%2F%2Fwww.collegeboard.com%2Fstudent%2Ftesting%2Fap%2Fexgrd_set.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=13" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>AP Calculus AB <ul><li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081219070626/http://www.collegeboard.com/student/testing/ap/calculus_ab/topic.html?calcab">College Board description of the AP Calculus AB course content</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081219070621/http://www.collegeboard.com/student/testing/ap/calculus_ab/exam.html?calcab">College Board description of the AP Calculus AB examination</a></li></ul></li> <li>AP Calculus BC <ul><li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081219081215/http://www.collegeboard.com/student/testing/ap/calculus_bc/topic.html?calcbc">College Board description of the AP Calculus BC course content</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20130401114413/http://www.collegeboard.com/student/testing/ap/calculus_bc/exam.html?calcbc">College Board description of the AP Calculus BC examination</a></li></ul></li></ul> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=AP_Calculus&action=edit&section=14" title="Edit section: Further reading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNahin2014" class="citation book cs1">Nahin, Paul (2014). <i>Inside Interesting Integrals</i>. Springer. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781493912766" title="Special:BookSources/9781493912766"><bdi>9781493912766</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Inside+Interesting+Integrals&rft.pub=Springer&rft.date=2014&rft.isbn=9781493912766&rft.aulast=Nahin&rft.aufirst=Paul&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAP+Calculus" class="Z3988"></span></li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output 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