{"id":790,"date":"2024-02-28T12:59:16","date_gmt":"2024-02-28T12:59:16","guid":{"rendered":"https:\/\/mysitedemo.in\/iit\/?page_id=790"},"modified":"2026-03-26T12:33:19","modified_gmt":"2026-03-26T07:03:19","slug":"msc","status":"publish","type":"page","link":"\/maths\/?page_id=790","title":{"rendered":"M.Sc."},"content":{"rendered":"\t\t
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M.Sc. in Mathematics<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\nThe department offers a 2-year master program in Mathematics from the academic year 2015-2016. The total number of students at present is 46. Admission to M.Sc. Program is through Joint Admission Test for M.Sc. (JAM). Bachelor degree with Mathematics as a subject for at least two years\/four semesters are eligible for admission for the M.Sc. Programme. \n

\nThe main goals of the postgraduate programmes are to develop scientific and engineering manpower of the highest quality to cater the needs of industry, R&D organizations and educational institutions and to enable students to have awareness and sensitivity to the needs and aspirations of society. The programmes have been structured in such a way that interested students can upgrade to the MS or Ph.D. programme. The student needs to earn a minimum of 70 credits to get the degree.\n<\/span><\/span>\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<\/div>\n\t\t<\/section>\n\t\t
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Semester-Wise Course Structure<\/h3>\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
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Semester-I<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\r\n\r\n\r\n\r\n\r\n\r\nResponsive Course Table<\/title>\r\n<style>\r\n body {\r\n font-family: Arial, sans-serif;\r\n }\r\n table {\r\n width: 100%;\r\n border-collapse: collapse;\r\n margin: 20px 0;\r\n font-size: 15px;\r\n text-align: left;\r\n }\r\n th, td {\r\n padding: 12px;\r\n border-bottom: 1px solid #ddd;\r\n text-align: center;\r\n }\r\n th {\r\n background-color: #f2f2f2;\r\n }\r\n tr:hover {\r\n background-color: #f5f5f5;\r\n }\r\n @media screen and (max-width: 600px) {\r\n table, thead, tbody, th, td, tr {\r\n display: block;\r\n }\r\n th {\r\n position: absolute;\r\n top: -9999px;\r\n left: -9999px;\r\n }\r\n tr {\r\n border: 1px solid #ccc;\r\n margin-bottom: 10px;\r\n }\r\n td {\r\n border: none;\r\n position: relative;\r\n padding-left: 50%;\r\n text-align: right;\r\n }\r\n td:before {\r\n content: attr(data-label);\r\n position: absolute;\r\n left: 0;\r\n width: 45%;\r\n padding-left: 10px;\r\n font-weight: bold;\r\n text-align: left;\r\n }\r\n }\r\n<\/style>\r\n<\/head>\r\n<body>\r\n\r\n<table style=\"margin-top: 0px; margin-bottom:35px;\">\r\n <thead>\r\n <tr>\r\n <th>Sr.<\/th>\r\n <th>Course Code<\/th>\r\n <th>Course Description<\/th>\r\n <th>Credits<\/th>\r\n <th>L-T-P-S-C<\/th>\r\n <\/tr>\r\n <\/thead>\r\n <tbody>\r\n <tr>\r\n <td data-label=\"Sr.\">1.<\/td>\r\n <td data-label=\"Course Code\">MA411<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Real Analysis<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">2.<\/td>\r\n <td data-label=\"Course Code\">MA412<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Linear Algebra<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">3.<\/td>\r\n <td data-label=\"Course Code\">MA413<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Computer Programming<\/td>\r\n <td data-label=\"Credits\">4<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-0-2-7-4<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">4.<\/td>\r\n <td data-label=\"Course Code\">MA414<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Ordinary Differential Equation<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">5.<\/td>\r\n <td data-label=\"Course Code\">MA415<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Algebra<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td colspan=\"3\" style=\"font-weight: bold;text-align:left;font-size:15px;\">Total Credits:<\/td>\r\n <td colspan=\"2\">16<\/td>\r\n <\/tr>\r\n <\/tbody>\r\n<\/table>\r\n\r\n<\/body>\r\n<\/html>\r\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-001746d e-con-full e-flex e-con e-child\" data-id=\"001746d\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-666cf07 elementor-widget elementor-widget-heading\" data-id=\"666cf07\" 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\">Semester-II<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f3c671 elementor-widget elementor-widget-html\" data-id=\"4f3c671\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\r\n<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\">\r\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\r\n<title>Responsive Course Table<\/title>\r\n<style>\r\n body {\r\n font-family: Arial, sans-serif;\r\n }\r\n table {\r\n width: 100%;\r\n border-collapse: collapse;\r\n margin: 20px 0;\r\n font-size: 15px;\r\n text-align: left;\r\n }\r\n th, td {\r\n padding: 12px;\r\n border-bottom: 1px solid #ddd;\r\n text-align: center;\r\n }\r\n th {\r\n background-color: #f2f2f2;\r\n }\r\n tr:hover {\r\n background-color: #f5f5f5;\r\n }\r\n @media screen and (max-width: 600px) {\r\n table, thead, tbody, th, td, tr {\r\n display: block;\r\n }\r\n th {\r\n position: absolute;\r\n top: -9999px;\r\n left: -9999px;\r\n }\r\n tr {\r\n border: 1px solid #ccc;\r\n margin-bottom: 10px;\r\n }\r\n td {\r\n border: none;\r\n position: relative;\r\n padding-left: 50%;\r\n text-align: right;\r\n }\r\n td:before {\r\n content: attr(data-label);\r\n position: absolute;\r\n left: 0;\r\n width: 45%;\r\n padding-left: 10px;\r\n font-weight: bold;\r\n text-align: left;\r\n }\r\n }\r\n<\/style>\r\n<\/head>\r\n<body>\r\n\r\n<table style=\"margin-top: 0px; margin-bottom:35px;\">\r\n <thead>\r\n <tr>\r\n <th>Sr.<\/th>\r\n <th>Course Code<\/th>\r\n <th>Course Description<\/th>\r\n <th>Credits<\/th>\r\n <th>L-T-P-S-C<\/th>\r\n <\/tr>\r\n <\/thead>\r\n <tbody>\r\n <tr>\r\n <td data-label=\"Sr.\">1.<\/td>\r\n <td data-label=\"Course Code\">MA421<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Topics in Complex Analysis<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">2.<\/td>\r\n <td data-label=\"Course Code\">MA422<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Partial Differential Equation<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">3.<\/td>\r\n <td data-label=\"Course Code\">MA423<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Stochastic Processes<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">4.<\/td>\r\n <td data-label=\"Course Code\">MA424<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Numerical Analysis<\/td>\r\n <td data-label=\"Credits\">4<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-0-2-7-4<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">5.<\/td>\r\n <td data-label=\"Course Code\">MA425<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Topology<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">6.<\/td>\r\n <td data-label=\"Course Code\">MA500<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Seminar<\/td>\r\n <td data-label=\"Credits\">2<\/td>\r\n <td data-label=\"L-T-P-S-C\">0-0-4-2-2<\/td>\r\n <\/tr>\r\n \r\n <tr>\r\n <td colspan=\"3\" style=\"font-weight: bold;text-align:left;font-size:15px;\">Total Credits:<\/td>\r\n <td colspan=\"2\">18<\/td>\r\n <\/tr>\r\n <\/tr>\r\n <\/tbody>\r\n<\/table>\r\n\r\n<\/body>\r\n<\/html>\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-06d7a9d e-flex e-con-boxed e-con e-parent\" data-id=\"06d7a9d\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-717781b e-con-full e-flex e-con e-child\" data-id=\"717781b\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a31162f elementor-widget elementor-widget-heading\" data-id=\"a31162f\" 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\">Semester-III<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a109df5 elementor-widget elementor-widget-html\" data-id=\"a109df5\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\">\r\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\r\n<title>Responsive Course Table<\/title>\r\n<style>\r\n body {\r\n font-family: Arial, sans-serif;\r\n }\r\n table {\r\n width: 100%;\r\n border-collapse: collapse;\r\n margin: 20px 0;\r\n font-size: 15px;\r\n text-align: left;\r\n }\r\n th, td {\r\n padding: 12px;\r\n border-bottom: 1px solid #ddd;\r\n text-align: center;\r\n }\r\n th {\r\n background-color: #f2f2f2;\r\n }\r\n tr:hover {\r\n background-color: #f5f5f5;\r\n }\r\n @media screen and (max-width: 600px) {\r\n table, thead, tbody, th, td, tr {\r\n display: block;\r\n }\r\n th {\r\n position: absolute;\r\n top: -9999px;\r\n left: -9999px;\r\n }\r\n tr {\r\n border: 1px solid #ccc;\r\n margin-bottom: 10px;\r\n }\r\n td {\r\n border: none;\r\n position: relative;\r\n padding-left: 50%;\r\n text-align: right;\r\n }\r\n td:before {\r\n content: attr(data-label);\r\n position: absolute;\r\n left: 0;\r\n width: 45%;\r\n padding-left: 10px;\r\n font-weight: bold;\r\n text-align: left;\r\n }\r\n }\r\n<\/style>\r\n<\/head>\r\n<body>\r\n\r\n<table style=\"margin-top: 0px; margin-bottom:35px;\">\r\n <thead>\r\n <tr>\r\n <th>Sr.<\/th>\r\n <th>Course Code<\/th>\r\n <th>Course Description<\/th>\r\n <th>Credits<\/th>\r\n <th>L-T-P-S-C<\/th>\r\n <\/tr>\r\n <\/thead>\r\n <tbody>\r\n <tr>\r\n <td data-label=\"Sr.\">1.<\/td>\r\n <td data-label=\"Course Code\">MA511<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Functional Analysis<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">2.<\/td>\r\n <td data-label=\"Course Code\">MA512<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Mathematical Methods<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">3.<\/td>\r\n <td data-label=\"Course Code\">MA513<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Optimization Techniques<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">3-1-0-5-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">4.<\/td>\r\n <td data-label=\"Course Code\">MAXXX<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Elective - I<\/td>\r\n <td data-label=\"Credits\">3 or 4<\/td>\r\n <td data-label=\"L-T-P-S-C\">---<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">5.<\/td>\r\n <td data-label=\"Course Code\">MAXXX<\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\"style=\"text-align:left;\">Elective - II<\/td>\r\n <td data-label=\"Credits\">3 or 4<\/td>\r\n <td data-label=\"L-T-P-S-C\">---<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">6.<\/td>\r\n <td data-label=\"Course Code\">MA699 <\/td>\r\n <td data-label=\"Course Description\" style=\"text-align:left;\">Project-I<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">0-0-6-3-3<\/td>\r\n <\/tr>\r\n <tr>\r\n <\/tr>\r\n <tr>\r\n <td colspan=\"3\" style=\"font-weight: bold;text-align:left;font-size:15px;\">Total Credits:<\/td>\r\n <td colspan=\"2\">18 - 20<\/td>\r\n <\/tbody>\r\n<\/table>\r\n\r\n<\/body>\r\n<\/html>\r\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-ff66344 e-con-full e-flex e-con e-child\" data-id=\"ff66344\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e3f7eb8 elementor-widget elementor-widget-heading\" data-id=\"e3f7eb8\" 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\">Semester-IV<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bb154bf elementor-widget elementor-widget-html\" data-id=\"bb154bf\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\">\r\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\r\n<title>Responsive Course Table<\/title>\r\n<style>\r\n body {\r\n font-family: Arial, sans-serif;\r\n }\r\n table {\r\n width: 100%;\r\n border-collapse: collapse;\r\n margin: 20px 0;\r\n font-size: 15px;\r\n text-align: left;\r\n }\r\n th, td {\r\n padding: 12px;\r\n border-bottom: 1px solid #ddd;\r\n text-align: center;\r\n }\r\n th {\r\n background-color: #f2f2f2;\r\n }\r\n tr:hover {\r\n background-color: #f5f5f5;\r\n }\r\n @media screen and (max-width: 600px) {\r\n table, thead, tbody, th, td, tr {\r\n display: block;\r\n }\r\n th {\r\n position: absolute;\r\n top: -9999px;\r\n left: -9999px;\r\n }\r\n tr {\r\n border: 1px solid #ccc;\r\n margin-bottom: 10px;\r\n }\r\n td {\r\n border: none;\r\n position: relative;\r\n padding-left: 50%;\r\n text-align: right;\r\n }\r\n td:before {\r\n content: attr(data-label);\r\n position: absolute;\r\n left: 0;\r\n width: 45%;\r\n padding-left: 10px;\r\n font-weight: bold;\r\n text-align: left;\r\n }\r\n }\r\n<\/style>\r\n<\/head>\r\n<body>\r\n\r\n<table style=\"margin-top: 0px; margin-bottom:35px;\">\r\n <thead>\r\n <tr>\r\n <th>Sr.<\/th>\r\n <th>Course Code<\/th>\r\n <th>Course Description<\/th>\r\n <th>Credits<\/th>\r\n <th>L-T-P-S-C<\/th>\r\n <\/tr>\r\n <\/thead>\r\n <tbody>\r\n <tr>\r\n <td data-label=\"Sr.\">1<\/td>\r\n <td data-label=\"Course Code\">MAXXX<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Elective \u2013 III<\/td>\r\n <td data-label=\"Credits\">3 or 4<\/td>\r\n <td data-label=\"L-T-P-S-C\">---<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">2<\/td>\r\n <td data-label=\"Course Code\">MAXXX<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Elective \u2013 IV<\/td>\r\n <td data-label=\"Credits\">3 or 4<\/td>\r\n <td data-label=\"L-T-P-S-C\">---<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">3<\/td>\r\n <td data-label=\"Course Code\">MAXXX<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Elective \u2013 V<\/td>\r\n <td data-label=\"Credits\">3 or 4<\/td>\r\n <td data-label=\"L-T-P-S-C\">---<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">4<\/td>\r\n <td data-label=\"Course Code\">MAXXX<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Elective \u2013 VI<\/td>\r\n <td data-label=\"Credits\">3<\/td>\r\n <td data-label=\"L-T-P-S-C\">---<\/td>\r\n <\/tr>\r\n <tr>\r\n <td data-label=\"Sr.\">5<\/td>\r\n <td data-label=\"Course Code\">MA799<\/td>\r\n <td data-label=\"Course Description\"style=\"text-align:left;\">Project-II<\/td>\r\n <td data-label=\"Credits\">6<\/td>\r\n <td data-label=\"L-T-P-S-C\">0-0-12-6-6<\/td>\r\n <\/tr>\r\n <tr>\r\n <td colspan=\"3\" data-label=\"Total\" style=\"font-weight: bold;text-align:left;font-size:15px;\">Total Credits:<\/td>\r\n <td colspan=\"2\" data-label=\"Credits\">18 - 21<\/td>\r\n <\/tr>\r\n <\/tbody>\r\n<\/table>\r\n\r\n<\/body>\r\n<\/html>\r\n\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-2b19635 e-flex e-con-boxed e-con e-parent\" data-id=\"2b19635\" 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-bdae2bb elementor-widget elementor-widget-html\" data-id=\"bdae2bb\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<span style=\"font-size:15px; font-weight: 550; color: #191654;\">Download dissertation files for M.Sc Project-II (MA799) by your institute login :<\/span>\r\n<br>\r\n<a style=\"font-size:16px; color: #254F7E;\" href=\"https:\/\/drive.google.com\/file\/d\/1Ih2hBpeD6AC-UMhiXSMg4KXtm4Sv31bU\/view?usp=sharing\" target=\"_blank\">1. Click here to download tex file for M.Sc. Dissertation <\/a>\r\n<br>\r\n<a style=\"font-size:16px; color: #254F7E;\" href=\"https:\/\/drive.google.com\/file\/d\/1VyEOV_HXPslA_y6mxBdix1Fj6CsRVx17\/view?usp=sharing\" target=\"_blank\">2. Click here to download institute logo<\/a>\r\n<br>\r\n<a style=\"font-size:16px; color: #254F7E;\" href=\"https:\/\/drive.google.com\/file\/d\/1fZe6C1g1HDpw5hP8bLB3w5lTccoyZ4L8\/view?usp=sharing\" target=\"_blank\">3. Click here to download sample pdf file for M.Sc. Dissertation <\/a>\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-e5367bd e-flex e-con-boxed e-con e-parent\" data-id=\"e5367bd\" 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-f25c927 elementor-widget elementor-widget-heading\" data-id=\"f25c927\" 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\">M.Sc. Courses<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0e9371f elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"0e9371f\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\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-6b2c1dd e-flex e-con-boxed e-con e-parent\" data-id=\"6b2c1dd\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-9990d2b e-con-full e-flex e-con e-child\" data-id=\"9990d2b\" data-element_type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-2a3a995 e-con-full e-flex e-con e-child\" data-id=\"2a3a995\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c252259 elementor-widget elementor-widget-n-accordion\" data-id=\"c252259\" data-element_type=\"widget\" data-settings=\"{"default_state":"all_collapsed","max_items_expended":"one","n_accordion_animation_duration":{"unit":"ms","size":400,"sizes":[]}}\" data-widget_type=\"nested-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-accordion\" aria-label=\"Accordion. Open links with Enter or Space, close with Escape, and navigate with Arrow Keys\">\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2030\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"1\" tabindex=\"0\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2030\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA411 REAL ANALYSIS, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2030\" class=\"elementor-element elementor-element-b563036 e-con-full e-flex e-con e-child\" data-id=\"b563036\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2030\" class=\"elementor-element elementor-element-45c3c9d e-flex e-con-boxed e-con e-child\" data-id=\"45c3c9d\" 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-e1878e3 elementor-widget elementor-widget-text-editor\" data-id=\"e1878e3\" 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 style=\"text-align:justify;\">Metric spaces, completeness, connectedness, compactness, Heine-Borel theorem, totally bounded sets, finite intersection property, completeness of R^n, Banach fixed point theorem, perfect sets, the Cantor set.<\/p><p style=\"text-align:justify;\">Continuous functions, relation with connectedness and compactness, discontinuity, uniform continuous functions, monotone functions, Absolutely continuous functions, total variation and functions of bounded variations.<\/p><p style=\"text-align:justify;\">Differentiability and its properties, mean value theorem, Taylor’s theorem, Riemann integral with properties and characterization, improper integral, Gamma function, Directional derivative, Partial derivative, Derivative as a linear transformation, Inverse and Implicit function theorems, multiple integration, Change of variables.<\/p><p style=\"text-align:justify;\">Sequence and series of real numbers, point wise convergence, Fejer’s theorem, power series and Fourier series, uniform convergence and its relation with continuity, differentiability and inerrability, Weierstrass approximation theorem, Equi-continuous family, Arzela-Ascoli theorem.<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2031\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"2\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2031\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA412 LINEAR ALGEBRA, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2031\" class=\"elementor-element elementor-element-2c058ab e-con-full e-flex e-con e-child\" data-id=\"2c058ab\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2031\" class=\"elementor-element elementor-element-b4665f7 e-flex e-con-boxed e-con e-child\" data-id=\"b4665f7\" 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-1e77e3f elementor-widget elementor-widget-text-editor\" data-id=\"1e77e3f\" 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 style=\"text-align:justify;\">\n\nVector spaces over fields, subspaces, bases and dimension; Systems of linear equations, matrices, rank, Gaussian elimination; Linear transformations, representation of linear transformations by matrices, rank-nullity theorem, change of basis, dual spaces, transposes of linear transformations; Determinants, Laplace expansions, cofactors, adjoint, Cramer\u2019s Rule; Eigen values and Eigen vectors, characteristic polynomials, minimal polynomials, Cayley-Hamilton Theorem, triangulation, diagonal-lization, rational canonical form, Jordan canonical form; Inner product spaces, Gram-Schmidt ortho-normalization, least square approximation, linear functionals and adjoints, Hermitian, self-adjoint, unitary and normal operators, Spectral Theorem for normal operators; Bilinear forms, symmetric and skew-symmetric bilinear forms, real quadratic forms, positive definiteness.\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2032\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"3\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2032\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA413 Computer Programming, 4 (3-0-2-7-4) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2032\" class=\"elementor-element elementor-element-2df7816 e-con-full e-flex e-con e-child\" data-id=\"2df7816\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2032\" class=\"elementor-element elementor-element-2b17a57 e-flex e-con-boxed e-con e-child\" data-id=\"2b17a57\" 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-d4b171f elementor-widget elementor-widget-text-editor\" data-id=\"d4b171f\" 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 style=\"text-align:justify;\">\n\nIntroduction: Computers as universal computing devise, bits, datatypes and operations, digital logic structure, The von Neumann model.\n<\/p>\n\n\n\n<p style=\"text-align:justify;\">\n\n\nProgramming: Problem solving, debugging, assembly language programming, Introduction to programming in C++, Variables and operators, control structures, pointers and arrays, functions and reference variables, Introduction to classes and templates, Developing classes for scientific applications: selected examples, Introduction to parallel processing using MPI.\n\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2033\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"4\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2033\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA414 ORDINARY DIFFERENTIAL EQUATIONS, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2033\" class=\"elementor-element elementor-element-5cb8647 e-flex e-con-boxed e-con e-child\" data-id=\"5cb8647\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2033\" class=\"elementor-element elementor-element-ce0e73d e-con-full e-flex e-con e-child\" data-id=\"ce0e73d\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d3f050b elementor-widget elementor-widget-text-editor\" data-id=\"d3f050b\" 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 style=\"text-align:justify;\">\n\nLinear second and higher order differential equations, solutions of homogeneous and non-homogeneous equations, Method of variation of parameters.\n\n\n\n<\/p>\n\n\n\n<p style=\"text-align:justify;\">\n\n\nQualitative Properties of Solutions: Existence and uniqueness theorem, Oscillations and the Sturm Separation theorem, the Sturm Comparison theorem.\n\n<\/p>\n\n<p style=\"text-align:justify;\">\n\nSystem of first order ODEs: Autonomous and non-autonomous system and stability.\n\n\n<\/p>\n\n<p style=\"text-align:justify;\">\n\nSeries solutions: Legendre equation and Legendre polynomials, Bessel equation and Bessel functions of first and second kinds.\n\n<\/p>\n\n<p style=\"text-align:justify;\">\nBoundary Value Problems: Sturm-Liouville Boundary Value Problem, Green\u2019s Function to solve boundary value problem.\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2034\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"5\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2034\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA415 ALGEBRA, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2034\" class=\"elementor-element elementor-element-d281862 e-flex e-con-boxed e-con e-child\" data-id=\"d281862\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2034\" class=\"elementor-element elementor-element-d036e92 e-con-full e-flex e-con e-child\" data-id=\"d036e92\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ba429a8 elementor-widget elementor-widget-text-editor\" data-id=\"ba429a8\" 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 style=\"text-align:justify;\">\nReview of basics, Permutations, sign of a permutation, inversions, cycles and transpositions, groups, subgroups and factor groups, Lagrange\u2019s Theorem, homomorphism, normal subgroups, Quotients of groups, Cyclic groups, generators and relations, Cayley\u2019s Theorem, group actions, Sylow Theorems. Direct products, Structure Theorem for finite abelian groups. Simple groups and solvable groups, nilpotent groups; Free groups, free abelian groups. Rings, Examples (including polynomial rings, formal power series rings, matrix rings and group rings), ideals, prime and maximal ideals, rings of fractions, Chinese Remainder Theorem for pairwise comaximal ideals. Euclidean Domains, Principal Ideal Domains and Unique Factorizations Domains. Polynomial rings over UFD\u2019; finite field and field extensions.\n\n<\/p>\n\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2035\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"6\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2035\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA421 TOPICS in COMPLEX ANALYSIS, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2035\" class=\"elementor-element elementor-element-0d6d911 e-flex e-con-boxed e-con e-child\" data-id=\"0d6d911\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2035\" class=\"elementor-element elementor-element-dd9db79 e-con-full e-flex e-con e-child\" data-id=\"dd9db79\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6820bac elementor-widget elementor-widget-text-editor\" data-id=\"6820bac\" 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 style=\"text-align:justify;\">\nThe complex number system. Extended complex plane. Analytic functions. Cauchy-Riemann conditions. Mappings by elementary functions. Conformal mappings and Mobius Transformation. Complex integration. Cauchy-Goursat theorem. Cauchy integral formula. The Homotopic version of Cauchy\u2019s theorem and simple connectivity. Morera\u2019s and Liouvile\u2019s theorems. Uniform convergence of sequences and series. Taylor\u2019s and Laurent\u2019s series. Singularities, zeros and Poles. Isolated singularities and residues. Cauchy residue theorem. Evaluation of real integrals. The Argument Principle and Rouche\u2019s theorem. Maximum Modulus Theorem.\n\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2036\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"7\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2036\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA422 PARTIAL DIFFERENTIAL EQUATIONS, 3 (3-1-0-5-3 ) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2036\" class=\"elementor-element elementor-element-e3382a6 e-flex e-con-boxed e-con e-child\" data-id=\"e3382a6\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2036\" class=\"elementor-element elementor-element-2ba4394 e-con-full e-flex e-con e-child\" data-id=\"2ba4394\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e456d6f elementor-widget elementor-widget-text-editor\" data-id=\"e456d6f\" 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 style=\"text-align:justify;\">\nIntroduction to PDE. First order quasi-linear equations. Nonlinear equations. Cauchy-Kowalewski\u2019s theorem. Higher order equations and characteristics. Classification of second order equations. Riemann\u2019s method and applications. One dimensional wave equation and De\u2019Alembert\u2019s method. Solution of three dimensional wave equation. Method of decent and Duhamel\u2019s principle. Solutions of equations in bounded domains and uniqueness of solutions. BVPs for Laplace\u2019s and Poisson\u2019s equations. Maximum principle and applications. Green\u2019s functions and properties. Existence theorem by Perron\u2019s method. Heat equation, Maximum principle. Uniqueness of solutions via energy method. Uniqueness of solutions of IVPs for heat conduction equation. Green\u2019s function for heat equation.\n\n<\/p>\n\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2037\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"8\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2037\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA423 STOCHASTIC PROCESSES, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2037\" class=\"elementor-element elementor-element-7534360 e-flex e-con-boxed e-con e-child\" data-id=\"7534360\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2037\" class=\"elementor-element elementor-element-c29bea0 e-con-full e-flex e-con e-child\" data-id=\"c29bea0\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3091163 elementor-widget elementor-widget-text-editor\" data-id=\"3091163\" 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 style=\"text-align:justify;\">\nIntroduction to probability theory, Probability and counting, Some applications.<br>\n<strong>Limit theorems:<\/strong> Probability spaces, random variables, independence, Kolmogorov\u2019s 0 \u2212 1 law, Borel-Cantelli lemma, Integration, Expectation, Variance, The weak law of large numbers, The probability distribution function, Convergence of random variables, The strong law of large numbers, Weak convergence, The central limit theorem, Markov operators, Characteristic functions. Discrete Stochastic Processes: Conditional Expectation, Martingales, Doob\u2019s convergence theorem, Doob\u2019s decomposition of a stochastic process, L^(p) inequality, Random walks, A discrete Feynman-Kac formula, Markov processes.<br>\n<strong>Continuous Stochastic Processes:<\/strong> Brownian motion, Stopping times, Continuous time martingales, Recurrence of Brownian motion, Feynman-Kac formula revisited, The Ito integral for Brownian motion, Processes of bounded quadratic variation, The Ito integral for martingales, Stochastic differential equations.\n\n<\/p>\n\t\t\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\t\t\t<\/details>\n\t\t\t\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-ca85221 e-con-full e-flex e-con e-child\" data-id=\"ca85221\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d301952 elementor-widget elementor-widget-n-accordion\" data-id=\"d301952\" data-element_type=\"widget\" data-settings=\"{"default_state":"all_collapsed","max_items_expended":"one","n_accordion_animation_duration":{"unit":"ms","size":400,"sizes":[]}}\" data-widget_type=\"nested-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-accordion\" aria-label=\"Accordion. Open links with Enter or Space, close with Escape, and navigate with Arrow Keys\">\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2210\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"1\" tabindex=\"0\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2210\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA424 NUMERICAL ANALYSIS, 4 (3-0-2-7-4) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2210\" class=\"elementor-element elementor-element-f48eacd e-con-full e-flex e-con e-child\" data-id=\"f48eacd\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2210\" class=\"elementor-element elementor-element-2e1d0d4 e-flex e-con-boxed e-con e-child\" data-id=\"2e1d0d4\" 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-5f7cdb9 elementor-widget elementor-widget-text-editor\" data-id=\"5f7cdb9\" 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\tDefinition and sources of errors, solutions of nonlinear equations; Bisection method, Newton\u2019s method and its variants, fixed point iterations, convergence analysis; Newton\u2019s method for non-linear systems; Finite differences, polynomial interpolation, Hermite interpolation, spline interpolation; Numerical integration \u2013 Trapezoidal and Simpson\u2019s rules, Gaussian quadrature, Richardson extrapolation; Initial value problems \u2013 Taylor series method, Euler and modified Euler methods, Runge-Kutta methods, multistep methods and stability; Boundary value problems \u2013 finite difference method, collocation method.\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2211\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"2\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2211\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA425 TOPOLOGY, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2211\" class=\"elementor-element elementor-element-f6ad35a e-con-full e-flex e-con e-child\" data-id=\"f6ad35a\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2211\" class=\"elementor-element elementor-element-6b438db e-flex e-con-boxed e-con e-child\" data-id=\"6b438db\" 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-204cb56 elementor-widget elementor-widget-text-editor\" data-id=\"204cb56\" 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 style=\"text-align:justify;\">\nTopological spaces, Basis for a topology, Limit points and closure of a set, Continuous and open maps, Homeomorphisms, Subspace topology, Product and quotient topology. Connected and locally connected spaces, Path connectedness, Components and path components, Compact and locally compact spaces, One point compactification. Countability axioms, Separation axioms, Urysohn\u2019s Lemma, Urysohn\u2019s metrization theorem, Tietze extension theorem, Tychonoff\u2019s theorem, Completely Regular Spaces, Stone-Cech Compactification.\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2212\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"3\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2212\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA511 FUNCTIONAL ANALYSIS, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2212\" class=\"elementor-element elementor-element-e2304bc e-con-full e-flex e-con e-child\" data-id=\"e2304bc\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2212\" class=\"elementor-element elementor-element-e39a41a e-flex e-con-boxed e-con e-child\" data-id=\"e39a41a\" 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-63744be elementor-widget elementor-widget-text-editor\" data-id=\"63744be\" 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 style=\"text-align:justify;\">\nNormed linear spaces, C0, C, lp, Lp, 1\u2264 p \u2264 \u221e, C[a,b], dimension, linear transformations -continuity and boundedness, linear functional-continuity, compactness of unit ball of finite dementional spaces, equivalence of norms and continuity of inear transformations of finite dimensional spaces, dual spaces duals of C0, lp, Lp, 1\u2264 p \u2264 \u221e, separability, non-separability of l\u221e. reflexive spaces. Horn-Banach theorem for real and complex normed linear spaces, Uniform Boundedness Principle and its applications. Closed Graph Theorem, Open Mapping Theorem and their applications. Inner product spaces, Hilbert spaces. Orthonormal basis, Projection theorem and Riesz Representation Theorem.\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2213\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"4\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2213\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA512 MATHEMATICAL METHODS, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2213\" class=\"elementor-element elementor-element-d1b2278 e-flex e-con-boxed e-con e-child\" data-id=\"d1b2278\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2213\" class=\"elementor-element elementor-element-f27e12e e-con-full e-flex e-con e-child\" data-id=\"f27e12e\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f5b5e44 elementor-widget elementor-widget-text-editor\" data-id=\"f5b5e44\" 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 style=\"text-align:justify;\">\nConcept and calculation of Green\u2019s function, Approximate Green\u2019s function, Green\u2019s function method for differential equations, Fourier Series, Generalized Fourier series, Fourier Cosine series, Fourier Sine series, Fourier integrals. Fourier transform, Laplace transform, Z-transform, Hankel transform, Mellin transform. Solution of differential equation by Laplace and Fourier transform methods.\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2214\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"5\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2214\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA513 OPTIMIZATION TECHNIQUES, 3 (3-1-0-5-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2214\" class=\"elementor-element elementor-element-68719ca e-flex e-con-boxed e-con e-child\" data-id=\"68719ca\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2214\" class=\"elementor-element elementor-element-a2dbb9a e-con-full e-flex e-con e-child\" data-id=\"a2dbb9a\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d5478d5 elementor-widget elementor-widget-text-editor\" data-id=\"d5478d5\" 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 style=\"text-align:justify;\">\nIntroduction to optimization, Formulation of linear Optimization problems, Convex set. Linear Programming model, Graphical method, Simplex method, Finding a feasible basis \u2013 Big M and two phase Simplex method, revised simplex method. Duality in Linear Program. Primal-dual relationship & economic interpretation of Duality, Dual Simplex Algorithm, Sensitivity analysis. Network analysis: Transportation & Assignment problem, Integer programming problem: Formulation, Branch& Bound and Cutting Plane methods. Dynamic Programming (DP). Non-linear Programming: Lagrange multipliers and Kuhn \u2013 Tucker conditions, convex optimization. Numerical optimization techniques: line search methods, gradient methods, Newton\u2019s method, conjugate direction methods, quasi-Newton methods, projected gradient methods, penalty methods.\n<\/p>\t\t\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\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2215\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"6\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2215\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> MA625 CALCULUS of VARIATION AND INTEGRAL EQUATIONS, 3 (3-0-0-6-3) <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2215\" class=\"elementor-element elementor-element-119bb17 e-flex e-con-boxed e-con e-child\" data-id=\"119bb17\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2215\" class=\"elementor-element elementor-element-db2dac1 e-con-full e-flex e-con e-child\" data-id=\"db2dac1\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d42e11e elementor-widget elementor-widget-text-editor\" data-id=\"d42e11e\" 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 style=\"text-align:justify;\">\n<strong>Calculus of Variation:<\/strong> Introduction, problem of barchistochrone, isoperimetric problem, concept of extrema of a functional, variation and it\u2019s properties. Variational problems with fixed boundaries, The Euler equation, The fundamental lemma of calculus of variations. Variational problems with moving boundaries, Reflection and refraction extremals. Transversality conditions, Sufficient conditions for an extremum, Field of extremals, Jacobi conditions, Legendre Condition. Second variations. Canonical equations and variational principles, Introduction to direct method for variational principle.<br>\n<strong>Integral Equations:<\/strong> Integral equations, Regular Integral equations: Voltera integral equations, Fredholm integral equations, Volterra and Fredholm equations with regular kernels. Degenerate kernel, Fredholm Thereom, Method of successive approximation. Bernstein polynomials and its properties. Solving integral equations by using Bernstein polynomials and general polynomial. Numerical method: Quadrature method for Integral equations. Green\u2019s function in integral equations.\n<\/p>\n\t\t\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\t\t\t<\/details>\n\t\t\t\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\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>M.Sc. in Mathematics The department offers a 2-year master program in Mathematics from the academic year 2015-2016. The total number of students at present is 46. Admission to M.Sc. Program is through Joint Admission Test for M.Sc. (JAM). Bachelor degree with Mathematics as a subject for at least two years\/four semesters are eligible for admission […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-790","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"\/maths\/index.php?rest_route=\/wp\/v2\/pages\/790","targetHints":{"allow":["GET"]}}],"collection":[{"href":"\/maths\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"\/maths\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"\/maths\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=790"}],"version-history":[{"count":557,"href":"\/maths\/index.php?rest_route=\/wp\/v2\/pages\/790\/revisions"}],"predecessor-version":[{"id":16590,"href":"\/maths\/index.php?rest_route=\/wp\/v2\/pages\/790\/revisions\/16590"}],"wp:attachment":[{"href":"\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}