{"id":57,"date":"2019-07-03T18:33:59","date_gmt":"2019-07-03T18:33:59","guid":{"rendered":"http:\/\/calculus-tutorials.104.42.120.246.xip.io\/?page_id=57"},"modified":"2020-06-17T18:09:09","modified_gmt":"2020-06-17T18:09:09","slug":"single-variable-calculus","status":"publish","type":"page","link":"https:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/","title":{"rendered":"Single Variable Calculus"},"content":{"rendered":"\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/antiderivatives\/\">Antiderivatives<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/chain-rule\/\">Chain Rule<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/computing-integrals-by-completing-the-square\/\">Computing Integrals by Completing the Square<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/computing-integrals-by-substitution\/\">Computing Integrals by Substitution<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/continuity\/\">Continuity<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/differentiating-special-functions\/\">Differentiating Special Functions<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/first-derivative\/\">First Derivatives<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/fundamental-theorem-of-calculus\/\">Fundamental Theorem of Calculus<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/infinite-series-convergence\/\">Infinite Series Convergence<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/integration-by-parts\/\">Integration by Parts<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/lhopitals-rule\/\">L&#8217;Hopital&#8217;s Rule<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/limit-definition-of-the-derivative\/\">Limit Definition of the Derivative<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/mean-value-theorem\/\">Mean Value Theorem<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/partial-fractions\/\">Partial Fractions<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/product-rule\/\">Product Rule<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/quotient-rule\/\">Quotient Rule<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/riemann-sums\/\">Riemann Sums<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/second-derivative\/\">Second Derivative<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/special-trigonometric-integrals\/\">Special Trigonometric Integrals<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/tangent-line-approximation\/\">Tangent Line Approximation<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/taylors-theorem\/\">Taylor&#8217;s Theorem<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/trigonometric-substitution\/\">Trigonometric Substitution<\/a><\/li><li><a href=\"http:\/\/math.hmc.edu\/calculus\/hmc-mathematics-calculus-online-tutorials\/single-variable-calculus\/volume\/\">Volume<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Antiderivatives Chain Rule Computing Integrals by Completing the Square Computing Integrals by Substitution Continuity Differentiating Special Functions First Derivatives Fundamental Theorem of Calculus Infinite Series Convergence Integration by Parts L&#8217;Hopital&#8217;s Rule Limit Definition of the Derivative Mean Value Theorem Partial Fractions Product Rule Quotient Rule Riemann Sums Second Derivative Special Trigonometric Integrals Tangent Line Approximation&hellip;<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":27,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-57","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/pages\/57","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/comments?post=57"}],"version-history":[{"count":3,"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/pages\/57\/revisions"}],"predecessor-version":[{"id":1188,"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/pages\/57\/revisions\/1188"}],"up":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/pages\/27"}],"wp:attachment":[{"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/media?parent=57"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.hmc.edu\/calculus\/wp-json\/wp\/v2\/tags?post=57"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}