{"id":213,"date":"2024-03-05T20:55:49","date_gmt":"2024-03-05T20:55:49","guid":{"rendered":"https:\/\/depts.washington.edu\/ic\/wordpress\/?page_id=213"},"modified":"2024-03-05T20:55:49","modified_gmt":"2024-03-05T20:55:49","slug":"calculus-tutorial","status":"publish","type":"page","link":"https:\/\/depts.washington.edu\/ic\/wordpress\/calculus-tutorial\/","title":{"rendered":"Calculus Tutorial"},"content":{"rendered":"<style>\n.ltbg\n{\nbackground-color: #eee;\n}\n<\/style>\n<p>All of the YouTube videos on this page were created and posted by <strong><em>Professor Dave Explains<\/em><\/strong>. This series is a thorough approch to mathematics that begins with basic arithmatic and ends with vector calculus. We hope that you find these tutorials useful.<\/p>\n<table width=\"100%\" border=\"0\" cellpadding=\"5\" cellspacing=\"0\">\n<tr class=\"ltbg\">\n<td width=\"33%\" valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=rBVi_9qAKTU\" target=\"_blank\" rel=\"noopener\">Intro to Calculus<\/a><\/strong><\/td>\n<td width=\"34%\" valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=ktOYbZ8CpLA\" target=\"_blank\" rel=\"noopener\">Differentiation 1: Tangent Line Slope<\/a><\/strong><\/td>\n<td width=\"33%\" valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=J27BZCX1OF8\" target=\"_blank\" rel=\"noopener\">Differentiation 2: Rate of Change<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=wK8WuTEc0ns\" target=\"_blank\" rel=\"noopener\">Limits<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=x3iEEDxrhyE\" target=\"_blank\" rel=\"noopener\">Definition of Derivatives<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=aL15O6rS9z0\" target=\"_blank\" rel=\"noopener\">Derivatives of Polynomials<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=_Zqcxbjzyxg\" target=\"_blank\" rel=\"noopener\">Derivatives of Trig Functions<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=_x1nCg2LfuA\" target=\"_blank\" rel=\"noopener\">The Chain Rule<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=zjKMkbcbtHY\" target=\"_blank\" rel=\"noopener\">Derivatives of Logs and Exponentials<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=M0SMSWM2oZA\" target=\"_blank\" rel=\"noopener\">Implicit Differentiation<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=zUDxgehxQqs\" target=\"_blank\" rel=\"noopener\">Higher Derivatives<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=j6I3EXiKB2A\" target=\"_blank\" rel=\"noopener\">Related Rates<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=pvLj1s7SOtk\" target=\"_blank\" rel=\"noopener\">Local Maxima and Minima<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=dIY86WqvGjw\" target=\"_blank\" rel=\"noopener\">Graphing Functions and Derivatives<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=q1U6AmIa_uQ\" target=\"_blank\" rel=\"noopener\">Optimization<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=g45quDrSA6g\" target=\"_blank\" rel=\"noopener\">L&#8217;Hospital&#8217;s Rule<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=FsC3do74UIo\" target=\"_blank\" rel=\"noopener\">Integration: Area under a Curve<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=NLU9U8-wJrM\" target=\"_blank\" rel=\"noopener\">Fundamental Theorum of Calculus<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=b0RJkIBhfEM\" target=\"_blank\" rel=\"noopener\">Properties of Integrals<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=-xHA2RjVkwY\" target=\"_blank\" rel=\"noopener\">Indefinite Integrals<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=7bJXbDqi9FE\" target=\"_blank\" rel=\"noopener\">Trigonometric Integrals<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=sci1pls4Lc8\" target=\"_blank\" rel=\"noopener\">Integration by Substitution<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=zNU8iK8sGD0\" target=\"_blank\" rel=\"noopener\">Integration by Parts<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=t3rzxSgvZZk\" target=\"_blank\" rel=\"noopener\">Integration by Trig Substitution<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=8APOcBqbG-U\" target=\"_blank\" rel=\"noopener\">Advanced Integration<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=0JOIhPfXnxc\" target=\"_blank\" rel=\"noopener\">Improper Integrals<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=xec6HTcn2M8\" target=\"_blank\" rel=\"noopener\">The Area between Two Curves<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=QLHJl2_aM5Q\" target=\"_blank\" rel=\"noopener\">Calculating Volume by Revolution<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=MNU5DT-CDrc\" target=\"_blank\" rel=\"noopener\">Calculating Volume by Shells<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=56-JCZIkDVU\" target=\"_blank\" rel=\"noopener\">Mean Value Theorem<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=L-JqHo4-W4k\" target=\"_blank\" rel=\"noopener\">Convergence and Divergence<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=Jtnxi9uM7yA\" target=\"_blank\" rel=\"noopener\">Estimating Sums<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=-Md4CEW0-zM\" target=\"_blank\" rel=\"noopener\">Alternating Series<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=OxVBT83x8oc\" target=\"_blank\" rel=\"noopener\">Power Series<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=a58otkmkHtk\" target=\"_blank\" rel=\"noopener\">Taylor and Maclaurin Series<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=uMXcKY_w3w4\" target=\"_blank\" rel=\"noopener\">Hyperbolic Functions<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=5sJdfciNM20\" target=\"_blank\" rel=\"noopener\">3D Coordinates and the Right Hand Rule<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=KBSCMTYaH1s\" target=\"_blank\" rel=\"noopener\">Vectors<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=0iNrGpwZwog\" target=\"_blank\" rel=\"noopener\">Vector Dot Product<\/a><\/strong><\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>All of the YouTube videos on this page were created and posted by Professor Dave Explains. This series is a thorough approch to mathematics that begins with basic arithmatic and ends with vector calculus. We hope that you find these tutorials useful. Intro to Calculus Differentiation 1: Tangent Line Slope Differentiation 2: Rate of Change Limits Definition of Derivatives Derivatives of Polynomials Derivatives of Trig Functions The Chain Rule Derivatives of Logs and Exponentials Implicit Differentiation Higher Derivatives Related Rates&#8230;<\/p>\n<div><a class=\"more-link\" href=\"https:\/\/depts.washington.edu\/ic\/wordpress\/calculus-tutorial\/\">Continue reading <span class=\"screen-reader-text\">Calculus Tutorial<\/span><\/a><\/div>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-213","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages\/213","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/comments?post=213"}],"version-history":[{"count":1,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages\/213\/revisions"}],"predecessor-version":[{"id":214,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages\/213\/revisions\/214"}],"wp:attachment":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/media?parent=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}