{"id":9337,"date":"2017-03-16t10:38:09","date_gmt":"2017-03-16t17:38:09","guid":{"rendered":"\/\/www.catharsisit.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":"\/\/www.catharsisit.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=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/files\/2017\/02\/rational_function_limit_example1.png 285w, \/\/www.catharsisit.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=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/ap\/find-vertical-asymptotes-function\/\">vertical<\/a>, <a href=\"\/\/www.catharsisit.com\/hs\/ap\/find-horizontal-asymptotes\/\">horizontal<\/a>, and <a href=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/files\/2017\/02\/derivative.gif\" alt=\"the derivative\" width=\"85\" height=\"38\" class=\"aligncenter size-full wp-image-9064\" srcset=\"\/\/www.catharsisit.com\/hs\/files\/2017\/02\/derivative.gif 85w, \/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/ap\/derivatives-ap-calculus-ab-bc-exams\/\">derivative<\/a> and its relationship to continuity.<\/li>\n<li><a href=\"\/\/www.catharsisit.com\/hs\/ap\/calculus-review-derivative-rules\/\">derivative rules<\/a>.<\/li>\n<li><a href=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/files\/2017\/01\/integral_notations.jpeg 431w, \/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/ap\/ap-calculus-exam-review-antidifferentiation\/\">antidifferentiation<\/a> and <a href=\"\/\/www.catharsisit.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=\"\/\/www.catharsisit.com\/hs\/ap\/ap-calculus-ab-exam\/\">what is the ap calculus ab exam?<\/a> and <a href=\"\/\/www.catharsisit.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],"acf":[],"yoast_head":"<!-- this site is optimized with the yoast seo premium plugin v21.7 (yoast 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