{"id":2748,"date":"2019-02-04T15:05:09","date_gmt":"2019-02-04T09:35:09","guid":{"rendered":"http:\/\/localhost\/wordpress\/?page_id=2748"},"modified":"2019-02-04T15:05:09","modified_gmt":"2019-02-04T09:35:09","slug":"ma-214-introduction-to-numerical-analysis","status":"publish","type":"page","link":"https:\/\/www.geos.iitb.ac.in\/index.php\/ma-214-introduction-to-numerical-analysis\/","title":{"rendered":"MA 214 Introduction to numerical Analysis"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2748\" class=\"elementor elementor-2748 elementor-bc-flex-widget\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-50c25ee elementor-section-stretched elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"50c25ee\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-856a3c1\" data-id=\"856a3c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b8e932 elementor-section-stretched elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"5b8e932\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-214591e\" data-id=\"214591e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c1f26bf elementor-widget elementor-widget-heading\" data-id=\"c1f26bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.3 - 28-12-2021 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">MA 214: Introduction to numerical Analysis <\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-834bdb7 elementor-widget elementor-widget-heading\" data-id=\"834bdb7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Syllabus\u200b<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ccc168 elementor-widget elementor-widget-text-editor\" data-id=\"7ccc168\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.3 - 28-12-2021 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#818a91;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#818a91;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>Interpolation by polynomials, divided di_erences, error of the interpolating polynomial, piecewise linear and cubic spline interpolation. Numerical integration, composite rules, error formulae. Solution of a system of linear equations, implementation of Gaussian elimination and Gauss-seidel methods, partial pivoting, row echelon form, LU factorization Cholesky&#8217;s method, ill-conditioning, norms. solution of a nonlinear equation, bisection and secant methods. Newton&#8217;s method, rate of convergence, solution of a system of nonlinear equations, numerical solution of ordinary di_erential equations, Euler and Runge-Kutta methods, multi-step methods, predictor-corrector methods, order of convergence, _nite di_erence methods, numerical solutions of elliptic, parabolic, and hyperbolic partial di_erential equations. Eigenvalue problem, power method, QR method, Gershgorin&#8217;s theorem. Exposure to software packages like IMSL subroutines, MATLAB.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-61ddbb1 elementor-widget elementor-widget-heading\" data-id=\"61ddbb1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Texts\/References<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8cca693 elementor-widget elementor-widget-text-editor\" data-id=\"8cca693\" 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<ul><li>S. D. Conte and Carl de Boor, Elementary Numerical Analysis- An Algorithmic Approach (3rd Edition), McGraw-Hill, 1980<\/li><li>C. E. Froberg, Introduction to Numerical Analysis (2nd Edition),Addison-Wesley, 1981<\/li><li>E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999)<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>MA 214: Introduction to numerical Analysis Syllabus\u200b Interpolation by polynomials, divided di_erences, error of the interpolating polynomial, piecewise linear and cubic spline interpolation. Numerical integration, composite rules, error formulae. Solution of a system of linear equations, implementation of Gaussian elimination and Gauss-seidel methods, partial pivoting, row echelon form, LU factorization Cholesky&#8217;s method, ill-conditioning, norms. solution [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/2748"}],"collection":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/comments?post=2748"}],"version-history":[{"count":0,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/2748\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/media?parent=2748"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}