{"id":431,"date":"2017-11-06T10:01:53","date_gmt":"2017-11-06T10:01:53","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=431"},"modified":"2024-12-19T03:27:24","modified_gmt":"2024-12-19T03:27:24","slug":"applicable-mathematics","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/applicable-mathematics\/","title":{"rendered":"Applicable Mathematics"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<strong>Course: <\/strong>MAT 356 2.0 Applicable Mathematics\u00a0(Optional)<\/p>\n<p><strong>Course Content<\/strong>:<\/p>\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<p><strong>Recommend Readings:<\/strong><\/p>\n<ol>\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<li>Kreyszig,E. (2006). <em>Advanced Engineering Mathematics <\/em>(9<sup>th<\/sup> ed). John Willey and Sons, Inc.<\/li>\n<li>Forray,M.W. (1968). <em>Variational Calculus in Science and Engineering. <\/em>McGraw Hill Book Company.<\/li>\n<\/ol>\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: MAT 356 2.0 Applicable Mathematics\u00a0(Optional) 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\/applicable-mathematics\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Applicable Mathematics<\/span><\/a><\/p>\n","protected":false},"author":4,"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\/431"}],"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\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=431"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/431\/revisions"}],"predecessor-version":[{"id":4759,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/431\/revisions\/4759"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}