{"id":4646,"date":"2024-12-18T18:34:58","date_gmt":"2024-12-18T18:34:58","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4646"},"modified":"2024-12-18T18:35:24","modified_gmt":"2024-12-18T18:35:24","slug":"mat-311-2-0-complex-analysis","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mat-311-2-0-complex-analysis\/","title":{"rendered":"MAT 311 2.0 Complex Analysis"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0\u00a0<\/strong>MAT 311 2.0 Complex Analysis (Compulsory)<\/p>\n\n<p><strong>Course Content<\/strong>:<\/p>\n\n<p style=\"text-align: justify;\">Complex Numbers and Elementary Functions, Complex numbers, and their properties, Limit, continuity, and uniform continuity, Analytic Functions, Complex differentiation, The Cauchy-Riemann equations and Cauchy\u2019s theorems, Harmonic functions Complex integration, Liouville&#8217;s theorem, Morera&#8217;s theorem and maximum modules theorem, Sequences and Series of Complex Functions. Taylor and Laurent series, Residue Theory.<\/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>Gamelin, T.W.(2001). Complex Analysis. Spring.<\/li>\n\n\n<li>\u00a0Philips, E.G. (1940). <em>Complex Variables<\/em>. Dover Books.<\/li>\n\n\n<li>Conway, J.B.(1970). <em>Functions of one complex variable<\/em>.Spring.<\/li>\n\n\n<li>Ponnusamy, S.(2011). <em>Functions of complex Analysis<\/em>. Norosa.<\/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 311 2.0 Complex Analysis (Compulsory) Course Content: Complex Numbers and Elementary Functions, Complex numbers, and their properties, Limit, continuity, and uniform continuity, Analytic Functions, Complex differentiation, The Cauchy-Riemann equations and Cauchy\u2019s theorems, Harmonic functions Complex integration, Liouville&#8217;s theorem, Morera&#8217;s theorem and maximum modules theorem, Sequences and Series of Complex Functions. Taylor and Laurent &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/mat-311-2-0-complex-analysis\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 311 2.0 Complex Analysis<\/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\/4646"}],"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=4646"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4646\/revisions"}],"predecessor-version":[{"id":4649,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4646\/revisions\/4649"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4646"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}