{"id":4760,"date":"2024-12-19T05:15:42","date_gmt":"2024-12-19T05:15:42","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4760"},"modified":"2024-12-19T05:16:12","modified_gmt":"2024-12-19T05:16:12","slug":"amt-311-2-0-applicable-mathematics","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/amt-311-2-0-applicable-mathematics\/","title":{"rendered":"AMT 311 2.0 Applicable Mathematics"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0AMT 311 2.0 Applicable Mathematics<\/strong>\u00a0<strong>(Compulsory)<\/strong><\/p>\n\n<p><strong>Course content:<\/strong><\/p>\n\n<p style=\"text-align: justify;\">Hilbert, Banach and Sobolev spaces and particularly useful spaces in PDE theory; Introduction to distribution theory and weak derivatives; Weak form of a PDE and weak solution of a PDE; Galerkin approximation of solution of a PDE; Solve 2D-wave equation in spherical coordinate system; Fundamental solution of Heat equation; Solving Laplace\u2019s equation by means of fundamental solutions; Solution of Transport equation; Introduction to calculus of variation; First variation of Euler-Lagrange equation; Second variation of Euler-Lagrange equation; Systems.<\/p>\n\n<p><strong>Recommended Readings:<\/strong><\/p>\n\n\n<ol type=\"1\">\n<li style=\"list-style-type: none;\">\n<ol type=\"1\"><\/p>\n<li>Evans,L.R. (2010). <em>Partial Differential Equations <\/em>(2<sup>nd<\/sup> ed). Graduate studies in Mathematics, American Mathematical Society.<\/li>\n\n\n<li>Kreyszig,E. (2006). <em>Advanced Engineering Mathematics <\/em>(9<sup>th<\/sup> ed). John Willey and Sons, Inc.<\/li>\n\n\n<li>Forray,M.W. (1968). <em>Variational Calculus in Science and Engineering. <\/em>McGraw Hill Book Company.<\/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:\u00a0AMT 311 2.0 Applicable Mathematics\u00a0(Compulsory) Course content: Hilbert, Banach and Sobolev spaces and particularly useful spaces in PDE theory; Introduction to distribution theory and weak derivatives; Weak form of a PDE and weak solution of a PDE; Galerkin approximation of solution of a PDE; Solve 2D-wave equation in spherical coordinate system; Fundamental solution of &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/amt-311-2-0-applicable-mathematics\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">AMT 311 2.0 Applicable Mathematics<\/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\/4760"}],"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=4760"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4760\/revisions"}],"predecessor-version":[{"id":4763,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4760\/revisions\/4763"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}