{"id":4676,"date":"2024-12-18T18:56:46","date_gmt":"2024-12-18T18:56:46","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4676"},"modified":"2024-12-18T18:57:15","modified_gmt":"2024-12-18T18:57:15","slug":"mat-323-1-0-optimization","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mat-323-1-0-optimization\/","title":{"rendered":"MAT 323 1.0 Optimization"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0\u00a0<\/strong>MAT 323 1.0 Optimization (Optional)<\/p>\n\n<p><strong>Course Content<\/strong>:<\/p>\n\n<p style=\"text-align: justify;\">Maximizing\/ minimizing objective function, Constraints, Categories of optimization problems and several illustrations; Functions of one variable\/ several variables, Critical points, Maximizers and minimizers, Optimization with Hessian matrix of a function (quadratic forms, definiteness, principal minors), Optimization with Coercive functions; Convex sets, Convex functions, Optimization results associated with convexity, Convexity and Arithmetic-Geometric Mean Inequality<\/p>\n\n<p><strong>Recommend Readings:<\/strong><\/p>\n\n\n<ol type=\"1\">\n<li style=\"list-style-type: none;\">\n<ol type=\"1\"><\/p>\n<li>Peressini, A.L., Sullivan F.E., &amp; Uhl J.J.(1988). <em>The Mathematics of Nonlinear Programming. <\/em>springer. <em>\u00a0<\/em><\/li>\n\n\n<li>Bradley,G.L.,Hoffmann,L.D. &amp; Rosen, K.H.<em>Applied Calculus.<\/em><\/li>\n\n\n<li>Bittinger, M.L., Ellenbogen, D.J. &amp; Surgent,S.A.(2012). <em>Calculus and its Applications<\/em>. (10<sup>th<\/sup> ed.). Pearson Education.<\/li>\n\n\n<li>Blischke, W.R. &amp; Murthy D.N.P.(2000). <em>Reliability: Modeling, Prediction and Optimization<\/em>. (1<sup>st<\/sup> ed.). Wiley.<\/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 323 1.0 Optimization (Optional) Course Content: Maximizing\/ minimizing objective function, Constraints, Categories of optimization problems and several illustrations; Functions of one variable\/ several variables, Critical points, Maximizers and minimizers, Optimization with Hessian matrix of a function (quadratic forms, definiteness, principal minors), Optimization with Coercive functions; Convex sets, Convex functions, Optimization results associated with &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/mat-323-1-0-optimization\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 323 1.0 Optimization<\/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\/4676"}],"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=4676"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4676\/revisions"}],"predecessor-version":[{"id":4679,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4676\/revisions\/4679"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4676"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}