[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-313932-105":59,"doc-detail-313932-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","ap-calculus-bc-course-profile","AP Calculus BC - Course Profile","","AP Calculus BC course profile detailing eligibility and prerequisites, including completion of AP Calculus AB or teacher recommendation, with stated graduation and UC/CSU subject area alignment. Outlines comprehensive learning goals across limits, derivatives, applications of derivatives, integration methods and applications, differential equations, and infinite sequences and series. Specifies student expectations, including performance criteria, background skills for AB/BC readiness, homework time estimates of 2–3 hours per period, and required course materials.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/ap-calculus-bc-course-profile/313932/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/ap-calculus-bc-course-profile/313932.png","ImageObject",300,407,{"name":92,"@type":93},"Xiajie","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Who is eligible to take AP Calculus BC?","Question",{"text":112,"@type":113},"Students may enter after completing AP Calculus AB or with a recommendation tied to Integrated Math honors/accelerated coursework. Prerequisites also include meeting performance expectations on AP Calculus AB.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What topics are covered in AP Calculus BC?",{"text":117,"@type":113},"The course covers limits, derivatives (including many function types and differentiation techniques), applications like optimization and motion, integration methods and applications, differential equations, and infinite sequences and series.",{"name":119,"@type":110,"acceptedAnswer":120},"How much homework is expected and what materials are required?",{"text":121,"@type":113},"Students are expected to spend about 2–3 hours per class period on homework. Required materials include the textbook Calculus: Early Transcendentals (6th edition) by Stewart.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},313932,1789899636,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39,"preview_page_count":4},8814010472675,"https://avatar.qwps.com/avatar/WGlhamll","TPHS Course Profile  \nAP Calculus BC  \nOpen to any grade level after completion of AP Calculus AB or if a student is recommended by their Integrated Math 3 Honors or Math 2/3 Honors Accelerated teacher (10 Credits)  \n• Meets high school graduation requirement formath credits  \n• Meets the UC/CSU subject area \"C-mathematics\" requirement  \nGeneral Information  \nDescription  \nIn AP Calculus BC, students will learn all of the concepts taught in AP Calculus AB (listed in plain text) as well as those listed below in bold text:  \n• Evaluating Limits: direct substitution, factor and reduce, multiply by conjugate, find common denominator, divide by highest power of variable – and later in course by L’Hospital’s Rule.  \n• Finding Derivatives of polynomial functions, rational functions, exponential functions, logarithmic functions, trigonometric and inverse trigonometric functions, parametric equations, polar equations, vector functions: by definition; product, quotient, chain rules; trigonometric and inverse trigonometric; logarithmic and exponential; implicit differentiation; logarithmic differentiation.  \n• Applications of Derivatives: equation of tangent line (including parametric equations, polar equations) ; relative extrema and inflection points; optimization word problems; related ratesword problems; position, velocity, and acceleration in function form; analyze motion of particle modeled in parametric form.  \n• Methods of Integration: numerical approximation by Riemann Sum or Trapezoidal Rule; power, exponential, logarithmic, trigonometric and inverse trigonometric, algebraic substitution,  \ntrigonometric substitution, parts, partial fraction decomposition.  \n• Applications of Integration: area, volumes of solids of revolution, volumes of solids with known base and cross section, arc length; acceleration, velocity, and position.  \n• Differential Equations: separation of variables, slope fields, Euler’s Method of approximation, exponential growth, logistic growth model.  \n• Infinite Sequences and Series: tests for convergence and divergence, Taylor and Maclaurin Series.  \n*Note: Even though the student background for AB and BC are almost the same, students need to be prepared to work at a much faster pace (with more material covered on each test) in the Calculus BC course. *  \nExpectations and Goals  \nStudents must have a  \nLast Updated 1/25/19  \n• “C” or better in AP Calculus AB  \n• Recommendation from their Integrated Math 3 Honors Teacher  \n• Recommendation from their Integrated Math 2/3 Honors Accelerated Teacher  \nStudents entering AP Calculus AB should already have a good understanding of the following concepts:  \n• Simplifying expressions, solving equations and inequalities (linear, polynomial, rational, radical,• exponential, logarithmic, absolute value); solving systems of linear and polynomial equations.  \n• Writing equations of linear functions: slope-intercept form, point-slope form, etc.  \n• Graphing (and recognizing the graphs of) functions and relations including x-and y- intercepts, horizontal, and vertical asymptotes.  \n• Setting up and solving word problems involving the algebra skills listed above.  \n• Unit circle values (cos, sin, etc.) for the traditional multiples of π6~~ ~~ , ~~ ~~π4~~ ~~ , ~~ ~~π3~~ ~~ , ~~ ~~π2~~ ~~ and π .  \n• Identities (Pythagorean, sum and difference, half and double angle) .  \n• Solving trigonometric equations and systems of equations.  \n• Graphs of trigonometric functions in the xy-plane. For example, y = a cos b(x − c) + d.  \n• Application of trigonometry to geometric figures. SKILL OR KNOWLEDGE BASE  \n• Midpoint, slope, distance formulas.  \n• Area formulas for common plane figures.  \n• Lateral area, surface area, and volume formulas for common 3-D figures.  \nStudents entering AP Calculus AB should also be able to solve problems such as  \n\n| Sketch the graph of the following equations without a calculator\u003Cbr>2 1\u003Cbr>y = mx + b y = a (x + h) + k x 2 + y2 = r 2 y = lnx y = x\u003Cbr>y = x ","cbCaibV7XPFAASnP","https://ap.wps.com/l/cbCaibV7XPFAASnP","pdf",183208,"English","# Course Profile\n## General Information\n## Expectations and Goals\n## Estimated Homework\n## This Class Is Best For...\n## Course Materials","[{\"question\":\"Who is eligible to take AP Calculus BC?\",\"answer\":\"Students may enter after completing AP Calculus AB or with a recommendation tied to Integrated Math honors/accelerated coursework. Prerequisites also include meeting performance expectations on AP Calculus AB.\"},{\"question\":\"What topics are covered in AP Calculus BC?\",\"answer\":\"The course covers limits, derivatives (including many function types and differentiation techniques), applications like optimization and motion, integration methods and applications, differential equations, and infinite sequences and series.\"},{\"question\":\"How much homework is expected and what materials are required?\",\"answer\":\"Students are expected to spend about 2–3 hours per class period on homework. Required materials include the textbook Calculus: Early Transcendentals (6th edition) by Stewart.\"}]","AP Calculus BC - Course Profile | PDF"]