{"id":9337,"date":"2017-03-16T10:38:09","date_gmt":"2017-03-16T17:38:09","guid":{"rendered":"https:\/\/magoosh.com\/hs\/?p=9337"},"modified":"2017-03-12T10:41:19","modified_gmt":"2017-03-12T17:41:19","slug":"guide-ap-calculus-ab-exam","status":"publish","type":"post","link":"https:\/\/magoosh.com\/hs\/ap\/guide-ap-calculus-ab-exam\/","title":{"rendered":"A Guide to the AP Calculus AB Exam"},"content":{"rendered":"<p>The AP Calculus AB Exam is one of two standardized tests in calculus that could translate to actual college credits.  The AB exam covers roughly one and a half semesters of college-level calculus, while the BC exam covers about two full semesters (Calculus I and II).  This article provides a brief guide on what to expect on the AP Calculus AB exam.<\/p>\n<h2>The AP Calculus AB Exam<\/h2>\n<p>The AP Calculus exams are typically offered once a year in May.  You can expect to spend the entire morning at the testing center, as the exam take 3 hours and 15 minutes.  There are two main sections, multiple choice and free response.  In turn, each section consists of two parts, one that permits a graphing calculator and one that does not.<\/p>\n<h3>Format of the Exam<\/h3>\n<p>The <a href=\"https:\/\/apstudent.collegeboard.org\/apcourse\/ap-calculus-ab\/about-the-exam\" target=\"_blank\" rel=\"noopener noreferrer\">Calculus AB<\/a> and <a href=\"https:\/\/apstudent.collegeboard.org\/apcourse\/ap-calculus-bc\/about-the-exam\" target=\"_blank\" rel=\"noopener noreferrer\">Calculus BC<\/a> exams both have the same format.<\/p>\n<table id=\"tablepress-100\" class=\"tablepress tablepress-id-100 tablepress-responsive\">\n<thead>\n<tr class=\"row-1 odd\">\n<th class=\"column-1\">Section \/ Part<\/th>\n<th class=\"column-2\">Type of questions<\/th>\n<th class=\"column-3\">Number of questions<\/th>\n<th class=\"column-4\">Time Limit<\/th>\n<th class=\"column-5\">Calculator permitted?<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n<td class=\"column-1\">IA<\/td>\n<td class=\"column-2\">Multiple Choice<\/td>\n<td class=\"column-3\">30<\/td>\n<td class=\"column-4\">60 minutes<\/td>\n<td class=\"column-5\">No<\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n<td class=\"column-1\">IB<\/td>\n<td class=\"column-2\">Multiple Choice<\/td>\n<td class=\"column-3\">15<\/td>\n<td class=\"column-4\">45 minutes<\/td>\n<td class=\"column-5\">Yes<\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n<td class=\"column-1\">IIA<\/td>\n<td class=\"column-2\">Free Response<\/td>\n<td class=\"column-3\">2<\/td>\n<td class=\"column-4\">30 minutes<\/td>\n<td class=\"column-5\">Yes<\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n<td class=\"column-1\">IIB<\/td>\n<td class=\"column-2\">Free Response<\/td>\n<td class=\"column-3\">4<\/td>\n<td class=\"column-4\">60 minutes<\/td>\n<td class=\"column-5\">No<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><!-- #tablepress-100 from cache --><\/p>\n<h2>Topics on the AP Calculus AB Exam<\/h2>\n<p>The material on the exam falls into three main categories, limits, derivatives, and integrals.  However these topics are all related.  It&#8217;s not uncommon to encounter questions that require methods from all three areas. <\/p>\n<h3>Limits and Continuity<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/magoosh.com\/hs\/files\/2017\/02\/Rational_function_limit_example1.png\" alt=\"Rational Function Limit\" width=\"285\" height=\"283\" class=\"aligncenter size-full wp-image-8902\" srcset=\"https:\/\/magoosh.com\/hs\/files\/2017\/02\/Rational_function_limit_example1.png 285w, https:\/\/magoosh.com\/hs\/files\/2017\/02\/Rational_function_limit_example1-150x150.png 150w\" sizes=\"(max-width: 285px) 100vw, 285px\" \/><\/p>\n<p>Limits measure trends in graphs.  Typical topics within the area of limits and continuity include:<\/p>\n<ul>\n<li>Graphs of functions.<\/li>\n<li><a href=\"https:\/\/magoosh.com\/hs\/ap\/ap-calculus-exam-review-limits-continuity\/\">Limits and continuity<\/a>. Finding limits algebraically or estimating them from numerical or graphical data. Continuity in terms of limits.<\/li>\n<li>Intermediate Value Theorem and Extreme Value Theorem.<\/li>\n<li><a href=\"https:\/\/magoosh.com\/hs\/ap\/find-vertical-asymptotes-function\/\">Vertical<\/a>, <a href=\"https:\/\/magoosh.com\/hs\/ap\/find-horizontal-asymptotes\/\">horizontal<\/a>, and <a href=\"https:\/\/magoosh.com\/hs\/ap\/oblique-asymptotes\/\">oblique asymptotes<\/a>. Limits involving infinity.<\/li>\n<\/ul>\n<h3>Derivatives and Rates of Change<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/magoosh.com\/hs\/files\/2017\/02\/derivative.gif\" alt=\"The derivative\" width=\"85\" height=\"38\" class=\"aligncenter size-full wp-image-9064\" srcset=\"https:\/\/magoosh.com\/hs\/files\/2017\/02\/derivative.gif 85w, https:\/\/magoosh.com\/hs\/files\/2017\/02\/derivative-30x13.gif 30w\" sizes=\"(max-width: 85px) 100vw, 85px\" \/><\/p>\n<p>The derivative measures the slope of the graph at a point as well as rates of change.  The following topics generally show up on the exam.<\/p>\n<ul>\n<li>Limit definition of the <a href=\"https:\/\/magoosh.com\/hs\/ap\/derivatives-ap-calculus-ab-bc-exams\/\">derivative<\/a> and its relationship to continuity.<\/li>\n<li><a href=\"https:\/\/magoosh.com\/hs\/ap\/calculus-review-derivative-rules\/\">Derivative rules<\/a>.<\/li>\n<li><a href=\"https:\/\/magoosh.com\/hs\/ap\/slope-tangent-ap-calculus\/\">Slope and tangent lines<\/a>.<\/li>\n<li>Linear approximation and differentials.<\/li>\n<li>Instantaneous and average rates of change. Relationship among position, velocity, and acceleration functions.<\/li>\n<li>Higher order derivatives.<\/li>\n<li>Implicit Differentiation.<\/li>\n<li><a href=\"https:\/\/magoosh.com\/hs\/ap\/ap-calculus-exam-review-analysis-graphs\/\">Analysis of Graphs<\/a> based on both pre-calculus methods and derivative information.<\/li>\n<li>Mean value theorem and Rolle&#8217;s Theorem.<\/li>\n<li>Applications of derivatives, including optimization and related rates.<\/li>\n<li>Elementary differential equations and slope fields.<\/li>\n<\/ul>\n<h3>Integrals and Area<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/magoosh.com\/hs\/files\/2017\/01\/Integral_notations.jpeg\" alt=\"Indefinite and definite integral notations.\" width=\"431\" height=\"191\" class=\"aligncenter size-full wp-image-8688\" srcset=\"https:\/\/magoosh.com\/hs\/files\/2017\/01\/Integral_notations.jpeg 431w, https:\/\/magoosh.com\/hs\/files\/2017\/01\/Integral_notations-300x133.jpeg 300w\" sizes=\"(max-width: 431px) 100vw, 431px\" \/><\/p>\n<p>Integrals, antiderivatives, and their applications form the third major source of problems on the AP Calculus AB exam.<\/p>\n<ul>\n<li><a href=\"https:\/\/magoosh.com\/hs\/ap\/ap-calculus-exam-review-antidifferentiation\/\">Antidifferentiation<\/a> and <a href=\"https:\/\/magoosh.com\/hs\/ap\/ap-calculus-review-indefinite-integrals\/\">indefinite integrals<\/a>.<\/li>\n<li>Techniques of antidifferentiation, including power rule, algebraic manipulation, and substitution.<\/li>\n<li>Finite Riemann sums and their limits. Relationship to definite integrals.<\/li>\n<li>The Fundamental Theorem of Calculus and definite integrals.<\/li>\n<li>Methods for estimating area.<\/li>\n<li>Exact area below a curve or between two curves.  Average value.<\/li>\n<li>Volumes of solids of revolution.<\/li>\n<li>Accumulation functions.<\/li>\n<li>Relationships between position, velocity, and acceleration using integrals.  Exponential models.<\/li>\n<\/ul>\n<h2>Scores and Credits<\/h2>\n<p>If you score a 4 or 5 on the AP calculus AB exam, then most colleges and universities will offer you 4-5 credits of calculus (single semester).   Sometimes even a score of 3 will earn you credit for lower level courses such as Precalculus. However, schools differ in their AP policies, so always check out that information before applying.<\/p>\n<h2>More Information about the Exam<\/h2>\n<p>For more information, check out <a href=\"https:\/\/magoosh.com\/hs\/ap\/ap-calculus-ab-exam\/\">What is the AP Calculus AB Exam?<\/a> and <a href=\"https:\/\/magoosh.com\/hs\/ap\/topics-ap-calculus-ab-exam\/\">What Topics are on the AP Calculus AB Exam?<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The AP Calculus AB Exam is one of two standardized tests in calculus that could translate to actual college credits. The AB exam covers roughly one and a half semesters of college-level calculus, while the BC exam covers about two full semesters (Calculus I and II). This article provides a brief guide on what to [&hellip;]<\/p>\n","protected":false},"author":223,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[240],"tags":[241],"ppma_author":[24932],"class_list":["post-9337","post","type-post","status-publish","format-standard","hentry","category-ap","tag-ap-calculus"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.7 (Yoast SEO v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A Guide to the AP Calculus AB Exam - Magoosh Blog | High School<\/title>\n<meta name=\"description\" content=\"The AP Calculus AB Exam is one of two standardized tests in calculus. 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