{"id":10729,"date":"2025-02-03T09:11:10","date_gmt":"2025-02-03T09:11:10","guid":{"rendered":"https:\/\/mathsuop.orizel.com\/?page_id=10729"},"modified":"2025-02-16T09:31:54","modified_gmt":"2025-02-16T09:31:54","slug":"gp115-calculus-i","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/maths\/gp115-calculus-i\/","title":{"rendered":"GP115: Calculus I"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"10729\" class=\"elementor elementor-10729\">\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>: GP 115<\/li><li><strong>Credits<\/strong>: 3<\/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>To build confidence in mathematical concepts and solving problems arising in the areas of calculus, coordinate geometry, complex variables, infinite series, and power series.<\/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>On successful completion of the course, the students should be able to;<\/p><ul><li>Analyze conceptual problems in limits, continuity, differentiability, and integration of functions of single variables and compute the partial derivatives of functions of several variables.<\/li><li>Compute the roots of unity, the derivatives of complex functions, and identify Holomorphic functions.<\/li><li>Identify and sketch conic sections, use polar and other coordinates to represent points in 2-D.<\/li><li>Compute the vector and Cartesian equations of lines and planes, the derivatives of vector valued functions, and solve related problems.<\/li><li>Determine the convergence of sequences and infinite series, calculate the radius of convergence and interval of convergence of power series and find the power series expansion of analytic functions.<\/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\tReview\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>Sets and their applications, real number system and its properties, method of mathematical induction, concept of a function, description and classification of functions.<\/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\tFunctions of a Single Variable\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>Limits, indeterminate forms and L\u2019Hospital\u2019s rule, continuity and differentiability of real valued functions.<\/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\tApplications\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>Intermediate value theorem, mean value theorem, leibnitz theorem, and tangent line approximation.<\/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\tSketching Curves\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>Local and global maximum and minimum, inflection points<\/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\tApplications of 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_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>Identify Riemann definition and find arc lengths, areas, volumes and moments using integration.<\/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_5\">\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_5\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_5\">\n\t\t\t\t\t\t\tFunction 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_5\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_5\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Partial derivatives and total differential, chain rule and higher order partial derivatives.<\/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_6\">\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_6\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_6\">\n\t\t\t\t\t\t\tParametric Representation of Curves in Planes\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_6\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_6\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Curvature, radius and center of curvature.<\/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_7\">\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_7\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_7\">\n\t\t\t\t\t\t\tComplex Functions\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_7\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_7\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Roots of unity and functions of complex variables, mapping of complex variables, derivatives of complex functions, Cauchy Reimann equation, holomorphic functions.<\/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_8\">\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_8\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_8\">\n\t\t\t\t\t\t\t3-D Coordinate Geometry\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_8\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_8\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Vector equations of lines and planes in space, coplanar lines, shortest distance between a point (line, plane) and a line (plane), skew lines in the space, angels between planes and the equation of the intersection line, derivatives of vector valued function.<\/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_9\">\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_9\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_9\">\n\t\t\t\t\t\t\tFunction of Positive Integers\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_9\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_9\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Define sequences and examples, monotonic sequence and bounded sequence, convergence, divergence and oscillation of a sequence.<\/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_10\">\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_10\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_10\">\n\t\t\t\t\t\t\tInfinite Series\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_10\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_10\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Standard examples of infinite series, conditions for convergence, alternating series, absolute and conditional convergence.<\/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_11\">\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_11\" aria-expanded=\"false\"\n\t\t\t\t\t\t   aria-controls=\"collapse_accordion_8ac4d11_11\">\n\t\t\t\t\t\t\tReal Power Series\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_11\"\n\t\t\t\t\t class=\"panel-collapse collapse\"\n\t\t\t\t\t role=\"tabpanel\" aria-labelledby=\"heading_accordion_8ac4d11_11\">\n\t\t\t\t\t<div class=\"panel-body\">\n\t\t\t\t\t\t<p>Power series of function f(x); binomial expansion, radius and interval of convergence of power series, Maclaurin and Taylor series approximation.<\/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=\"36\" 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=\"18\" 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><li>James Stewart, &#8220;Calculus&#8221;, 5th edition (2006), Thomson Books\/Cole.\u00a0<\/li><li>Watson Fulks, &#8220;Advanced Calculus &#8211; An Introduction to Analysis&#8221;, 3rd edition (1978), John Wiley &amp; Sons, Inc.\u00a0<\/li><li>H.K. Dass, &#8220;Advanced Engineering Mathematics&#8221;, (2008), S. Chand &amp; Company.<\/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-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=\"20\">\n\t\t\t<div class=\"elementor-progress-bar\" data-max=\"20\">\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\">20%<\/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=\"50\">\n\t\t\t<div class=\"elementor-progress-bar\" data-max=\"50\">\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\">50%<\/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: GP 115 Credits: 3 Pre-requisites: None Compulsory\/Optional: Compulsory Aim : To build confidence in mathematical concepts and solving problems arising in the areas of calculus, coordinate geometry, complex variables, infinite series, and power series. Intended Learning &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-10729","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages\/10729","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=10729"}],"version-history":[{"count":36,"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages\/10729\/revisions"}],"predecessor-version":[{"id":10784,"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/pages\/10729\/revisions\/10784"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/maths\/wp-json\/wp\/v2\/media?parent=10729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}