{"id":373,"date":"2016-06-02T16:22:22","date_gmt":"2016-06-02T16:22:22","guid":{"rendered":"https:\/\/staff.kellogg.edu\/pricer\/?page_id=373"},"modified":"2018-07-03T16:59:33","modified_gmt":"2018-07-03T16:59:33","slug":"math-141-summer-2016","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/pricer\/math-141-summer-2016\/","title":{"rendered":"Math 141 summer 2018"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=kL5XMnP41LU\" target=\"_blank\" rel=\"noopener\">example of calculating a one sided limit<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=68-Yh09BXzQ\" target=\"_blank\" rel=\"noopener\">examples of calculating limits involving trig functions<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=9Ssy-tSxUoQ\" target=\"_blank\" rel=\"noopener\">Hooray for asymptotes!<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=6ks8kyeRIP8\" target=\"_blank\" rel=\"noopener\">example of finding asympotes<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=dufySeMIag4\" target=\"_blank\" rel=\"noopener\">How to use asymptotes to graph<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Ug7PiyMWqpg\" target=\"_blank\" rel=\"noopener\">examples of how to find one sided limits of rational functions<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=03dQnaHXigM\" target=\"_blank\" rel=\"noopener\">What is a derivative and how is it found?<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=jvOYXCYGzik\" target=\"_blank\" rel=\"noopener\">example of finding a tangent line<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Greeting math 141 students. Summer 2018. Please watch the videos below about linearization and the videos below about extrema. that is the 10 videos below from <em>what is linearization and how to you find it<\/em>&nbsp; to <em>two example of finding extema. <\/em>These are over sections 3.9 and 4.1. Please try the hw in those sections before Monday.<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=4n_NaUsqwJw\" target=\"_blank\" rel=\"noopener\">What is a linearization and how do you find it?<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=9PGt6J2rlpw\" target=\"_blank\" rel=\"noopener\">ex 1 linear approximation<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KDPNyFgzudk\" target=\"_blank\" rel=\"noopener\">ex 2 linear approximation<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=vB5g-C9KsAw\" target=\"_blank\" rel=\"noopener\">ex 3 df versus delta f<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=30CGV2TgebY\" target=\"_blank\" rel=\"noopener\">ex 1 Ussing differentials to estimate small changes&nbsp;<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=WH7kYzT8HBw\" target=\"_blank\" rel=\"noopener\">ex 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=RDbeCNPO7JA\" target=\"_blank\" rel=\"noopener\">The chain rule of differentiation<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=o3oCh6aASfY\" target=\"_blank\" rel=\"noopener\">&nbsp;examples of applying the chain rules<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=fx2f-mXOLJM\" target=\"_blank\" rel=\"noopener\">What are extrema and how do you find them?<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=GMPZdMHX6OM\" target=\"_blank\" rel=\"noopener\">two examples of finding extrema<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ekkFTiFeBuI\" target=\"_blank\" rel=\"noopener\">&nbsp;Related Rate example<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ykKUkpLHyDg\" target=\"_blank\" rel=\"noopener\">implicit differentiation<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=j_m2YHl6eBA\" target=\"_blank\" rel=\"noopener\">optimization ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=8cun5UeiqzE\" target=\"_blank\" rel=\"noopener\">optimization ex 2 (beer can)<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=zlqPmxSxO30\" target=\"_blank\" rel=\"noopener\">first and second derivatives as graphing aids<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=qSA08m_P2KQ\" target=\"_blank\" rel=\"noopener\">ex 1 finding inflection points and rel extrema<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=VFH_Z9Fg6Bw\" target=\"_blank\" rel=\"noopener\">How to find a function from it&#8217;s derivative<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=funknHnXFZo\" target=\"_blank\" rel=\"noopener\">How to estimate the area under a curve<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=rPeCt9n0pHM\" target=\"_blank\" rel=\"noopener\">area estimate example II<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=DSjv93JEm8g\" target=\"_blank\" rel=\"noopener\">How to make your area estimate exact<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=OljpUSi8YvM\" target=\"_blank\" rel=\"noopener\">definite integral with U sub ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=0pV8q8e7t3Y\" target=\"_blank\" rel=\"noopener\">definite integral with U sub ex 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=EyOKgAJOxqw\" target=\"_blank\" rel=\"noopener\">area by integration<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=TeY1zxcWpN0\" target=\"_blank\" rel=\"noopener\">what is a definite integral?<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=YFOQEF2Iy2o\" target=\"_blank\" rel=\"noopener\">evaluating a definite integral<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=CUOtF6SoHO4\" target=\"_blank\" rel=\"noopener\">ex 2 evaluating a definite integral<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Z8aFP45fUOk\" target=\"_blank\" rel=\"noopener\">Bound area example<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=mF16rXqSQvU\" target=\"_blank\" rel=\"noopener\">bound area ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=5jfSNwdyYQA\" target=\"_blank\" rel=\"noopener\">bound area ex 2<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=5gVeVWj8HSs\" target=\"_blank\" rel=\"noopener\">&nbsp;bound area ex 3<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=RIMglLIpmWA\" target=\"_blank\" rel=\"noopener\">solving first order equation ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=q746YVQTF9k\" target=\"_blank\" rel=\"noopener\">&nbsp;solving first order equation ex 1<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=L828IxZFqJI\" target=\"_blank\" rel=\"noopener\">solving a higher order DEQ<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=-r2SmZXFEM0\" target=\"_blank\" rel=\"noopener\">How to find an average function value<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=6bzCYA5H7jo\" target=\"_blank\" rel=\"noopener\">Volume by integration<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=7mtf6PSBXxY\" target=\"_blank\" rel=\"noopener\">Volumes of solids of revolution<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=aFzhnF2UYWg\" target=\"_blank\" rel=\"noopener\">Volume by the shell method<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Hi math 141 students summer 2018. Please watch the 5 videos directly below this before Monday july 9th. see you Monday. Rod<\/strong><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=9ZbP5FgeOaA\" target=\"_blank\" rel=\"noopener\">Numerical calculation of area under a curve<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/oDHGaDwLuRs\">Using excel to integrate<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/dcZ4ukKR4ow\">How to set up an integral for arclength<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/7m0rottQliA\">how to set up integrals for surface areas<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/YppSFmnkh8c\">example of calculating surface area for xy=1<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=2DA_eGFSUm0\" target=\"_blank\" rel=\"noopener\">How to find a centroid<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=EySKFeNCZ3M\" target=\"_blank\" rel=\"noopener\">&nbsp;example of finding centroid<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=Z7xmJpKRjsM\" target=\"_blank\" rel=\"noopener\">how to find centroid ussing excel<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp; example of calculating a one sided limit examples of calculating limits involving trig functions &nbsp; Hooray for asymptotes! example of finding asympotes How to use asymptotes to graph examples of how to find one sided limits of rational &hellip; <a href=\"https:\/\/staff.kellogg.edu\/pricer\/math-141-summer-2016\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":30,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-373","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/pages\/373"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/users\/30"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/comments?post=373"}],"version-history":[{"count":31,"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/pages\/373\/revisions"}],"predecessor-version":[{"id":780,"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/pages\/373\/revisions\/780"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/pricer\/wp-json\/wp\/v2\/media?parent=373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}