[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-397794-105":59,"doc-detail-397794-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ma-16500-analytic-geometry-and-calculus-i","MA 16500 - Analytic Geometry and Calculus I","","MA 16500 covers differential and integral calculus for one variable, with applications including conic sections and analytic approaches. The course emphasizes limits, differentiation rules for elementary functions, and graphing techniques supported by derivatives. Students learn optimization through maxima/minima and integral computation using the Fundamental Theorem of Calculus to determine areas of planar regions. Typical offerings follow a Fall or Spring schedule and require demonstrated competence in prerequisite college algebra and trigonometry.",{"@graph":69,"@context":123},[70,84,106],{"@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/ma-16500-analytic-geometry-and-calculus-i/397794/",{"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/ma-16500-analytic-geometry-and-calculus-i/397794.png","ImageObject",300,407,{"name":92,"@type":93},"Dipper","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-26",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are covered in MA 16500?","Question",{"text":113,"@type":114},"The course covers essential function types, limit concepts and limit laws, continuity and asymptotes, differentiation rules (including chain rule and trigonometric derivatives), optimization, and integral concepts such as the definite integral and the Fundamental Theorem of Calculus.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What are the main student learning outcomes?",{"text":118,"@type":114},"Students learn to compute limits and use limit laws, compute derivatives with differentiation rules, sketch graphs using differentiation, find maxima and minima for optimization problems, and compute integrals using the Fundamental Theorem of Calculus.",{"name":120,"@type":111,"acceptedAnswer":121},"What prerequisites are required to take this course?",{"text":122,"@type":114},"Prerequisites include ALEKS Math Assessment 085, SATR Math 670, SAT Mathematics 650, ACT Math 29, or MA 15800 with a minimum grade of B, along with demonstrated college algebra and trigonometry competence.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},397794,1790717242,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},1374404997633,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","1. MA 16500 – Analytic Geometry and Calculus I  \n2. Credits and contact hours:  \n4 credits  \nLecture – 3 days per week at 50 minutes for 15 weeks.  \nRecitation-1 day per week at 50 minutes for 15 weeks.  \n3. Instructor’s or course coordinator’s name: Kenji Matuski, Xiaodong Huang, Evzenie Coupkova, Silvio D. Mayolo, Justin A Fong …  \n4. Textbook(s): Bundle: Calculus: Early Transcendentals, Loose-Leaf Version, 8th + Enhanced WebAssign Printed Access Card for Calculus, Milti-Term Courses, James Stewart, Brooks Cole, 8th Edition,(Notes-other options include access sheet for e-book  \n(9781285858265) or buying e-book & homework access directly through WebAssign.) ISBN 9781305616691  \na. Other supplemental materials: None  \n5. Specific course information  \na. Catalog description: Introduction to differential and integral calculus of one variable, with applications. Conic sections. Designed for students who have had at least a one-semester calculus course in high school, with a grade of \"A\" or \"B\", but are not qualified to enter MA 16200 or 16600, or the advanced placement courses MA 17300 or 27100, or the honors calculus course MA 18100. Demonstrated competence in college algebra and trigonometry. Typically offered Fall Spring. CTL:IMA 1602 Calculus – Long I  \nb. Prerequisites or co-requisites: ALEKS Math Assessment 085 or SATR Math 670 or SAT Mathematics 650 or ACT Math 29 or MA 15800 Minimum Grade of B  \nc. Course status:  \n6. Specific goals for the course  \na. Student Learning Outcomes:  \n1. To compute limits and to apply limit laws.  \n2. To apply rules of differentiation to compute derivatives of elementary functions.  \n3. To sketch graphs of functions with the aid of differentiation techniques.  \n4. To find maxima and minima of functions; optimization problems.  \n5. To compute integrals of some elementary functions and to apply the Fundamental Theorem of Calculus to compute areas of certain planar regions.  \nb. Relationship of course to program outcomes:  \n7. Topics  \nWeeks  \n1 Mathematical Models; A Catalog of Essential Functions; New Functions from Old Functions, Exponential Functions, Inverse Functions and Logarithms  \n2 The Tangent and Velocity Problems, The Limit of a Function, Calculating Limits Using Limit Laws  \n3 Continuity, Limits at Infinity; Horizontal Asymptotes  \n4 Derivatives and Rates of Change, The Derivative as a Function, Derivatives of Polynomials and Exponential Functions  \n5 The Product and Quotient Rules, Appendix D  \n6 Derivatives ofTrigonometic Functions, The Chain Rule  \n7 Implicit Differentiation, Derivatives of Logarithmic Functions, Rates of Change in the Natural and Social Sciences, Hyperbolic Functions (omit inverse hyperbolic functions)  \n8 Exponential Growth and Decay, Related Rates  \n9 Linear Approximations and Differentials  \n10 Maximum and Minimum Values, The Mean Value Theorem, How Derivatives Affect the Shape of a Graph  \n11 Indeterminate Forms and L’Hospital’s Rule, Summary of Curve Sketching  \n12 Optimization Problems  \n13 Antiderivatives, Area and Distances, The Definite Integral, The Fundamental Theorem of Calculus  \n14 Indefinite Integrals and the Net Change Theorem, The Substitution Rule","cbCaic2TBQlOIXyt","https://ap.wps.com/l/cbCaic2TBQlOIXyt","pdf",90765,"English","# Course Overview\n## Credits and Contact Hours\n## Catalog Description and Focus\n# Learning Outcomes and Course Goals\n## Student Learning Outcomes\n# Requirements and Prerequisites\n## Prerequisites or Co-requisites\n## Course Status and Scheduling\n# Topics by Week","[{\"question\":\"What topics are covered in MA 16500?\",\"answer\":\"The course covers essential function types, limit concepts and limit laws, continuity and asymptotes, differentiation rules (including chain rule and trigonometric derivatives), optimization, and integral concepts such as the definite integral and the Fundamental Theorem of Calculus.\"},{\"question\":\"What are the main student learning outcomes?\",\"answer\":\"Students learn to compute limits and use limit laws, compute derivatives with differentiation rules, sketch graphs using differentiation, find maxima and minima for optimization problems, and compute integrals using the Fundamental Theorem of Calculus.\"},{\"question\":\"What prerequisites are required to take this course?\",\"answer\":\"Prerequisites include ALEKS Math Assessment 085, SATR Math 670, SAT Mathematics 650, ACT Math 29, or MA 15800 with a minimum grade of B, along with demonstrated college algebra and trigonometry competence.\"}]","MA 16500 - Analytic Geometry and Calculus I | PDF",1790466391]