{"id":4622,"date":"2024-12-18T15:50:18","date_gmt":"2024-12-18T15:50:18","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4622"},"modified":"2024-12-18T15:53:43","modified_gmt":"2024-12-18T15:53:43","slug":"mat-221-2-0-functions-of-several-variables","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mat-221-2-0-functions-of-several-variables\/","title":{"rendered":"MAT 221 2.0 Functions of Several Variables"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0\u00a0<\/strong>MAT 221 2.0 Functions of Several Variables (Compulsory)<\/p>\n\n<p><strong>Course Content<\/strong>:<\/p>\n\n<p style=\"text-align: justify;\">Metric and algebraic structure of the Euclidean space,\u00a0 limits and continuity of multi variable functions,\u00a0 properties of continuous functions on compact (closed bounded) sets, intermediate value theorem,\u00a0 differentiation of multivariable functions, partial\/directional derivative<strong>s, <\/strong>higher order partial derivatives,\u00a0 equality of mixed partials, \u00a0differentiability and the total derivative, chain rule and\u00a0 change of variables formula, Jacobins, extreme values of multivariable functions, Lagrange multipliers, implicit function theorem.<\/p>\n\n<p><strong>Recommend Readings:\u00a0<\/strong><\/p>\n\n\n<ol type=\"1\">\n<li style=\"list-style-type: none;\">\n<ol type=\"1\"><\/p>\n<li>Marsden, J. E.(1993). <em>Elementary Classical Analysis<\/em>. (2<sup>nd<\/sup>\u00a0 ed.). W. H. Freeman.<\/li>\n\n\n<li>Rudin, W. (2006). <em>The Principles of Mathematical Analysis.<\/em> (3<sup>rd<\/sup> ed.). International Series in Pure &amp; Applied Mathematics.<\/li>\n\n\n<li>Pugh, C.(2015).<em>Real Mathematical Analysis.<\/em>(2<sup>nd<\/sup>\u00a0 ed.). Undergraduate Texts in Mathematics.<\/li>\n\n\n<li>Hammack, R. (2018). <em>BOOK OF PROOF<\/em>.( 3<sup>rd<\/sup>\u00a0 ed.). Richard Hammack. (<a href=\"https:\/\/www.people.vcu.edu\/~rhammack\/BookOfProof\/\">https:\/\/www.people.vcu.edu\/~rhammack\/BookOfProof\/<\/a><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n\n<p>&nbsp;<\/p>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] Course:\u00a0\u00a0MAT 221 2.0 Functions of Several Variables (Compulsory) Course Content: Metric and algebraic structure of the Euclidean space,\u00a0 limits and continuity of multi variable functions,\u00a0 properties of continuous functions on compact (closed bounded) sets, intermediate value theorem,\u00a0 differentiation of multivariable functions, partial\/directional derivatives, higher order partial derivatives,\u00a0 equality of mixed partials, \u00a0differentiability and the &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/mat-221-2-0-functions-of-several-variables\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 221 2.0 Functions of Several Variables<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4622"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=4622"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4622\/revisions"}],"predecessor-version":[{"id":4626,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4622\/revisions\/4626"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4622"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}