{"id":10936,"date":"2025-02-15T16:54:48","date_gmt":"2025-02-15T16:54:48","guid":{"rendered":"https:\/\/mathsuop.orizel.com\/?page_id=10936"},"modified":"2025-03-07T05:43:47","modified_gmt":"2025-03-07T05:43:47","slug":"em212-calculus-ii","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/maths\/em212-calculus-ii\/","title":{"rendered":"EM212: Calculus II"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"10936\" class=\"elementor elementor-10936\">\n\t\t\t\t<div class=\"elementor-element elementor-element-084a54d e-flex e-con-boxed e-con e-parent\" data-id=\"084a54d\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-4f13400 e-con-full e-flex e-con e-child\" data-id=\"4f13400\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-de1f885 elementor-widget elementor-widget-heading\" data-id=\"de1f885\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Basic Details:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f8c48b7 elementor-widget elementor-widget-text-editor\" data-id=\"f8c48b7\" data-element_type=\"widget\" data-settings=\"{&quot;thim_ekit_motion_fx_mouse&quot;:&quot;yes&quot;,&quot;thim_ekit_motion_fx_tilt_effect&quot;:&quot;yes&quot;,&quot;thim_ekit_motion_fx_tilt_speed&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:1,&quot;sizes&quot;:[]}}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li><strong>Course Code<\/strong>: EM 212<\/li><li><strong>Credits<\/strong>: 2<\/li><li><strong>Pre-requisites<\/strong>: None<\/li><li><strong>Compulsory\/Optional<\/strong>: Compulsory<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-b88759f e-con-full e-flex e-con e-child\" data-id=\"b88759f\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-86cea8d elementor-widget elementor-widget-heading\" data-id=\"86cea8d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Aim :<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1cf13df elementor-widget elementor-widget-text-editor\" data-id=\"1cf13df\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span dir=\"ltr\" role=\"presentation\">To introduce<\/span><span dir=\"ltr\" role=\"presentation\">,<\/span> <span dir=\"ltr\" role=\"presentation\">calculus of fu<\/span><span dir=\"ltr\" role=\"presentation\">nctions of several<\/span> <span dir=\"ltr\" role=\"presentation\">variables,<\/span> <span dir=\"ltr\" role=\"presentation\">vector valued<\/span> <span dir=\"ltr\" role=\"presentation\">functions <\/span><span dir=\"ltr\" role=\"presentation\">and<\/span> <span dir=\"ltr\" role=\"presentation\">the use of<\/span> <span dir=\"ltr\" role=\"presentation\">integral theorems<\/span> <span dir=\"ltr\" role=\"presentation\">in any<\/span> <span dir=\"ltr\" role=\"presentation\">ort<\/span><span dir=\"ltr\" role=\"presentation\">hogonal curvilinear coordinates<\/span> <span dir=\"ltr\" role=\"presentation\">to solve <\/span><span dir=\"ltr\" role=\"presentation\">engineering problems.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7d06cbe elementor-widget elementor-widget-spacer\" data-id=\"7d06cbe\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-5ff70c7 e-flex e-con-boxed e-con e-parent\" data-id=\"5ff70c7\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d8f921a elementor-widget elementor-widget-heading\" data-id=\"d8f921a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Intended Learning Outcomes:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-723b881 elementor-widget elementor-widget-text-editor\" data-id=\"723b881\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span id=\"page3R_mcid40\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">On successful completion of the course, the students should be able to;\u00a0<\/span><\/span><\/p><ul><li><span id=\"page3R_mcid41\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">Sketch level curves and level surfaces of functions of two and three variables, and\u00a0<\/span><span dir=\"ltr\" role=\"presentation\">sketch<\/span> <span dir=\"ltr\" role=\"presentation\">their<\/span> <span dir=\"ltr\" role=\"presentation\">surfaces and solids<\/span><span dir=\"ltr\" role=\"presentation\">.<\/span><\/span><\/li><li><span id=\"page3R_mcid42\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">Compute double and triple integrals of<\/span> <span dir=\"ltr\" role=\"presentation\">scalar<\/span> <span dir=\"ltr\" role=\"presentation\">functions over any given 2D<\/span> <span dir=\"ltr\" role=\"presentation\">and<\/span> <span dir=\"ltr\" role=\"presentation\">3D <\/span><span dir=\"ltr\" role=\"presentation\">region<\/span><span dir=\"ltr\" role=\"presentation\">s<\/span><span dir=\"ltr\" role=\"presentation\">.<\/span><\/span><\/li><li><span id=\"page3R_mcid43\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">Compute gradient, divergence, and curl of a given function using orthogonal, <\/span><\/span><span id=\"page3R_mcid43\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">curvilinear coordinates and to solve related problems using cyli<\/span><span dir=\"ltr\" role=\"presentation\">ndrical and spherical\u00a0<\/span><span dir=\"ltr\" role=\"presentation\">coordinates.<\/span><\/span><\/li><li><span id=\"page3R_mcid44\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">Evaluate line, surface and volume integrals of continuous<\/span> <span dir=\"ltr\" role=\"presentation\">scalar and<\/span> <span dir=\"ltr\" role=\"presentation\">vector fields <\/span><span dir=\"ltr\" role=\"presentation\">over a given domain and apply integral theorems<\/span><span dir=\"ltr\" role=\"presentation\">.<\/span><\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cc9874c elementor-widget elementor-widget-spacer\" data-id=\"cc9874c\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-057446a e-flex e-con-boxed e-con e-parent\" data-id=\"057446a\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-20350e0 elementor-widget elementor-widget-heading\" data-id=\"20350e0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Couse Content:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ac4d11 elementor-widget elementor-widget-thim-accordion\" data-id=\"8ac4d11\" data-element_type=\"widget\" data-widget_type=\"thim-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"thim-widget-accordion accordion-new-style\"><div id=\"accordion_8ac4d11\" class=\"panel-group\" role=\"tablist\" aria-multiselectable=\"true\">\n\t\t\t<div class=\"panel panel-default\">\n\t\t\t\t<div class=\"panel-heading\" role=\"tab\"\n\t\t\t\t\t id=\"heading_accordion_8ac4d11_0\">\n\t\t\t\t\t<h4 class=\"panel-title\">\n\t\t\t\t\t\t<a role=\"button\" class=\"collapsed\" data-toggle=\"collapse\"\n\t\t\t\t\t\t   data-parent=\"#accordion_8ac4d11\"\n\t\t\t\t\t\t   href=\"#collapse_accordion_8ac4d11_0\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_0\">\n\t\t\t\t\t\t\tFunctions of several variables\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t<\/div>\n\t\t\t\t<div id=\"collapse_accordion_8ac4d11_0\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_0\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Sketching level curves and level surfaces of functions of two and three variables, sketching surfaces and volumes, limit, and continuity of functions of two and three variables, Tangent planes, gradient vector and directional derivative, scalar line integrals.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t\n\t\t\t<div class=\"panel panel-default\">\n\t\t\t\t<div class=\"panel-heading\" role=\"tab\"\n\t\t\t\t\t id=\"heading_accordion_8ac4d11_1\">\n\t\t\t\t\t<h4 class=\"panel-title\">\n\t\t\t\t\t\t<a role=\"button\" class=\"collapsed\" data-toggle=\"collapse\"\n\t\t\t\t\t\t   data-parent=\"#accordion_8ac4d11\"\n\t\t\t\t\t\t   href=\"#collapse_accordion_8ac4d11_1\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_1\">\n\t\t\t\t\t\t\tDouble and Triple Integration\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t<\/div>\n\t\t\t\t<div id=\"collapse_accordion_8ac4d11_1\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_1\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Definitions of double and triple integrals, double and triple integrals over rectangular domains, double and triple integrals over any general domains, cylindrical and spherical polar coordinates, Jacobian and its properties, applications of double and triple integrals(change of coordinates).<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t\n\t\t\t<div class=\"panel panel-default\">\n\t\t\t\t<div class=\"panel-heading\" role=\"tab\"\n\t\t\t\t\t id=\"heading_accordion_8ac4d11_2\">\n\t\t\t\t\t<h4 class=\"panel-title\">\n\t\t\t\t\t\t<a role=\"button\" class=\"collapsed\" data-toggle=\"collapse\"\n\t\t\t\t\t\t   data-parent=\"#accordion_8ac4d11\"\n\t\t\t\t\t\t   href=\"#collapse_accordion_8ac4d11_2\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_2\">\n\t\t\t\t\t\t\tVector Fields and Vector Operators\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t<\/div>\n\t\t\t\t<div id=\"collapse_accordion_8ac4d11_2\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_2\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Scalar fields and vector fields, gradient, divergence and curl and their geometrical and physical interpretations.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t\n\t\t\t<div class=\"panel panel-default\">\n\t\t\t\t<div class=\"panel-heading\" role=\"tab\"\n\t\t\t\t\t id=\"heading_accordion_8ac4d11_3\">\n\t\t\t\t\t<h4 class=\"panel-title\">\n\t\t\t\t\t\t<a role=\"button\" class=\"collapsed\" data-toggle=\"collapse\"\n\t\t\t\t\t\t   data-parent=\"#accordion_8ac4d11\"\n\t\t\t\t\t\t   href=\"#collapse_accordion_8ac4d11_3\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_3\">\n\t\t\t\t\t\t\tVector and complex line integral\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t<\/div>\n\t\t\t\t<div id=\"collapse_accordion_8ac4d11_3\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_3\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Line integrals of vector valued functions and path independency of line integrals, simply connected domains and conservative vector fields, Cauchy-Riemann equations and line integrals of complex valued functions, complex line integrals over simply connected domains and Cauchy\u2019s theorem.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t\n\t\t\t<div class=\"panel panel-default\">\n\t\t\t\t<div class=\"panel-heading\" role=\"tab\"\n\t\t\t\t\t id=\"heading_accordion_8ac4d11_4\">\n\t\t\t\t\t<h4 class=\"panel-title\">\n\t\t\t\t\t\t<a role=\"button\" class=\"collapsed\" data-toggle=\"collapse\"\n\t\t\t\t\t\t   data-parent=\"#accordion_8ac4d11\"\n\t\t\t\t\t\t   href=\"#collapse_accordion_8ac4d11_4\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_4\">\n\t\t\t\t\t\t\tOrthogonal curvilinear coordinates, Surface integrals and Integral Theorems\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t<\/div>\n\t\t\t\t<div id=\"collapse_accordion_8ac4d11_4\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_4\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Greens Theorem on the plane, surface integrals of scalar fields and vector fields, Stokes\u2019 theorem and divergence theorem, area and volume elements in terms of orthogonal curvilinear coordinates, surface integrals with orthogonal curvilinear coordinates, applications of integral theorems in terms of orthogonal curvilinear coordinates.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t<\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7133136 e-con-full e-flex e-con e-parent\" data-id=\"7133136\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-78cef1a elementor-widget elementor-widget-heading\" data-id=\"78cef1a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Time Allocation (Hours):<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-97b0fa9 e-grid e-con-full e-con e-child\" data-id=\"97b0fa9\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1640844 elementor-widget elementor-widget-counter\" data-id=\"1640844\" data-element_type=\"widget\" data-widget_type=\"counter.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-counter\">\n\t\t\t<div class=\"elementor-counter-title\">Lectures<\/div>\t\t\t<div class=\"elementor-counter-number-wrapper\">\n\t\t\t\t<span class=\"elementor-counter-number-prefix\"><\/span>\n\t\t\t\t<span class=\"elementor-counter-number\" data-duration=\"1000\" data-to-value=\"24\" data-from-value=\"0\" data-delimiter=\",\">0<\/span>\n\t\t\t\t<span class=\"elementor-counter-number-suffix\"><\/span>\n\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-808daa8 elementor-widget elementor-widget-counter\" data-id=\"808daa8\" data-element_type=\"widget\" data-widget_type=\"counter.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-counter\">\n\t\t\t<div class=\"elementor-counter-title\">Assignments<\/div>\t\t\t<div class=\"elementor-counter-number-wrapper\">\n\t\t\t\t<span class=\"elementor-counter-number-prefix\"><\/span>\n\t\t\t\t<span class=\"elementor-counter-number\" data-duration=\"1000\" data-to-value=\"4\" data-from-value=\"0\" data-delimiter=\",\">0<\/span>\n\t\t\t\t<span class=\"elementor-counter-number-suffix\"><\/span>\n\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e84dcbb e-con-full e-flex e-con e-parent\" data-id=\"e84dcbb\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-184f21a elementor-widget elementor-widget-spacer\" data-id=\"184f21a\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bd7ccbd elementor-widget elementor-widget-heading\" data-id=\"bd7ccbd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Recommended Texts:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-36dd98c elementor-widget elementor-widget-text-editor\" data-id=\"36dd98c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul>\n<li><span id=\"page23R_mcid4\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">James Stewart<\/span><span dir=\"ltr\" role=\"presentation\">,<\/span>&nbsp;&#8220;<span dir=\"ltr\" role=\"presentation\">Calculus&#8221;<\/span><span dir=\"ltr\" role=\"presentation\">,&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">5<\/span><span dir=\"ltr\" role=\"presentation\">th&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">edition<\/span>&nbsp;<span dir=\"ltr\" role=\"presentation\">(<\/span><span dir=\"ltr\" role=\"presentation\">2006)<\/span><span dir=\"ltr\" role=\"presentation\">,<\/span> <span dir=\"ltr\" role=\"presentation\">Thomson Books\/Cole.<\/span><\/span><span id=\"page23R_mcid6\" class=\"markedContent\"><br role=\"presentation\"><\/span><\/li>\n<li><span id=\"page23R_mcid5\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">Watson Fulks<\/span><span dir=\"ltr\" role=\"presentation\">, &#8220;<\/span><span dir=\"ltr\" role=\"presentation\">Advanced Calculus an Introduction to Analysis&#8221;<\/span><span dir=\"ltr\" role=\"presentation\">,&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">3<\/span><span dir=\"ltr\" role=\"presentation\">rd<\/span> <span dir=\"ltr\" role=\"presentation\">Edition&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">(1978)<\/span><span dir=\"ltr\" role=\"presentation\">, <\/span><span dir=\"ltr\" role=\"presentation\">John Wiley &amp;&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">S<\/span><span dir=\"ltr\" role=\"presentation\">ons&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">Inc.<\/span><\/span><\/li>\n<li><span id=\"page23R_mcid6\" class=\"markedContent\"><span dir=\"ltr\" role=\"presentation\">E.B. Saff and A.D.<\/span> <span dir=\"ltr\" role=\"presentation\">Sinder<\/span><span dir=\"ltr\" role=\"presentation\">, &#8220;<\/span><span dir=\"ltr\" role=\"presentation\">Fundamentals<\/span> <span dir=\"ltr\" role=\"presentation\">of Complex Analysis with Applications <\/span><span dir=\"ltr\" role=\"presentation\">to Engineering, Science, and Mathematics&#8221;<\/span><span dir=\"ltr\" role=\"presentation\">, 3rd e<\/span><span dir=\"ltr\" role=\"presentation\">dition&nbsp;<\/span><span dir=\"ltr\" role=\"presentation\">(2014<\/span><span dir=\"ltr\" role=\"presentation\">),<\/span> <span dir=\"ltr\" role=\"presentation\">Pearson Education <\/span><span dir=\"ltr\" role=\"presentation\">Ltd.<\/span><\/span><\/li>\n<\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e75cae8 elementor-widget elementor-widget-spacer\" data-id=\"e75cae8\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-0310ef2 e-flex e-con-boxed e-con e-parent\" data-id=\"0310ef2\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9fb40da elementor-widget elementor-widget-heading\" data-id=\"9fb40da\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Assessment:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-459293f elementor-widget elementor-widget-heading\" data-id=\"459293f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">In - course:<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3e261ba elementor-widget elementor-widget-progress\" data-id=\"3e261ba\" data-element_type=\"widget\" data-widget_type=\"progress.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<span class=\"elementor-title\" id=\"elementor-progress-bar-3e261ba\">\n\t\t\t\tTutorials\/Assignments\/Quizzes\t\t\t<\/span>\n\t\t\n\t\t<div aria-labelledby=\"elementor-progress-bar-3e261ba\" class=\"elementor-progress-wrapper\" role=\"progressbar\" aria-valuemin=\"0\" aria-valuemax=\"100\" aria-valuenow=\"10\">\n\t\t\t<div class=\"elementor-progress-bar\" data-max=\"10\">\n\t\t\t\t<span class=\"elementor-progress-text\"><\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-progress-percentage\">10%<\/span>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-db115d5 elementor-widget elementor-widget-progress\" data-id=\"db115d5\" data-element_type=\"widget\" data-widget_type=\"progress.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<span class=\"elementor-title\" id=\"elementor-progress-bar-db115d5\">\n\t\t\t\tMid Semester Examination\t\t\t<\/span>\n\t\t\n\t\t<div aria-labelledby=\"elementor-progress-bar-db115d5\" class=\"elementor-progress-wrapper\" role=\"progressbar\" aria-valuemin=\"0\" aria-valuemax=\"100\" aria-valuenow=\"30\">\n\t\t\t<div class=\"elementor-progress-bar\" data-max=\"30\">\n\t\t\t\t<span class=\"elementor-progress-text\"><\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-progress-percentage\">30%<\/span>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56730bf elementor-widget elementor-widget-heading\" data-id=\"56730bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">End-semester:<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d2e9848 elementor-widget elementor-widget-progress\" data-id=\"d2e9848\" data-element_type=\"widget\" data-widget_type=\"progress.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n\t\t<div class=\"elementor-progress-wrapper\" role=\"progressbar\" aria-valuemin=\"0\" aria-valuemax=\"100\" aria-valuenow=\"60\">\n\t\t\t<div class=\"elementor-progress-bar\" data-max=\"60\">\n\t\t\t\t<span class=\"elementor-progress-text\"><\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-progress-percentage\">60%<\/span>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Basic Details: Course Code: EM 212 Credits: 2 Pre-requisites: None Compulsory\/Optional: Compulsory Aim : To introduce, calculus of functions of several variables, vector valued functions and the use of integral theorems in any orthogonal curvilinear coordinates to solve engineering problems. &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-10936","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages\/10936","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/comments?post=10936"}],"version-history":[{"count":13,"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages\/10936\/revisions"}],"predecessor-version":[{"id":11634,"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages\/10936\/revisions\/11634"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/media?parent=10936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}