{"id":5332,"date":"2024-09-30T07:27:52","date_gmt":"2024-09-30T06:27:52","guid":{"rendered":"http:\/\/gu.edu.pk\/?page_id=5332"},"modified":"2024-09-30T08:31:07","modified_gmt":"2024-09-30T07:31:07","slug":"master-of-philosophy-in-mathematics","status":"publish","type":"page","link":"http:\/\/gu.edu.pk\/index.php\/master-of-philosophy-in-mathematics\/","title":{"rendered":"Master of Philosophy in Mathematics"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5332\" class=\"elementor elementor-5332\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0c3365b elementor-section-content-top elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0c3365b\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8fcc6f1\" data-id=\"8fcc6f1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-768b3b2 elementor-widget elementor-widget-heading\" data-id=\"768b3b2\" 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\">Department of Mathematics<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c642bd4 elementor-widget elementor-widget-text-editor\" data-id=\"c642bd4\" 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>Master of Philosophy in Mathematics<\/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<\/div>\n\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-84c7c60 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"84c7c60\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-03ff46d\" data-id=\"03ff46d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bbe364d elementor-widget elementor-widget-spacer\" data-id=\"bbe364d\" 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<\/div>\n\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-7205f13 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7205f13\" data-element_type=\"section\">\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-7c3c159\" data-id=\"7c3c159\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2d27a44 elementor-icon-list--layout-inline elementor-align-left elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"2d27a44\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items elementor-inline-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"http:\/\/gu.edu.pk\/\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-home\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Home<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"http:\/\/gu.edu.pk\/index.php\/member-mathematics\/\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-chalkboard-teacher\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Faculty Members<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"http:\/\/gu.edu.pk\/index.php\/programs-of-mathematics\/\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-book\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Programs<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\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<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aa2ea5c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aa2ea5c\" data-element_type=\"section\">\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-50 elementor-top-column elementor-element elementor-element-aa5a9f3\" data-id=\"aa5a9f3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b180156 elementor-widget elementor-widget-heading\" data-id=\"b180156\" 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\">Introduction<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3a2b39e elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"3a2b39e\" 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>The <strong>Master of Philosophy (M.Phil.) in Mathematics<\/strong> at <strong>Gomal University<\/strong> is an advanced postgraduate program designed to deepen students&#8217; knowledge in both pure and applied mathematics. The program spans two years and focuses on areas such as algebra, calculus, mathematical modeling, number theory, and differential equations. It emphasizes research and analytical thinking, encouraging students to explore complex mathematical problems and contribute to the field through innovative research.<\/p><p>Students are trained in advanced mathematical techniques and research methodologies, preparing them for careers in academia, research institutions, and industries requiring high-level quantitative skills, such as finance, engineering, and technology. The program also serves as a pathway for further academic pursuits, including Ph.D. studies.<\/p><p>With access to expert faculty and modern research facilities, Gomal University provides an ideal environment for academic and professional growth in mathematics. Graduates of the M.Phil. program are equipped with the skills needed for research and teaching roles or specialized industry positions.<\/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<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-3f0530b\" data-id=\"3f0530b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5d8822a elementor-widget elementor-widget-heading\" data-id=\"5d8822a\" 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\">Program Features<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a997a84 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"a997a84\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-calendar-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Duration: 02 Years<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-clock\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Credit Hours:<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-book-open\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Semester: <\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-school\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Campus: Main Campus<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\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-06fdfcb elementor-widget elementor-widget-text-editor\" data-id=\"06fdfcb\" 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><strong><u>Admission Requirement:<\/u><\/strong> BS in Mathematics\u00a0<\/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<\/div>\n\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-f02c422 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f02c422\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-44a6d1e\" data-id=\"44a6d1e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f052b48 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f052b48\" 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<\/div>\n\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-99becfe elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"99becfe\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ac034b8\" data-id=\"ac034b8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-282ac3c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"282ac3c\" data-element_type=\"section\">\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-inner-column elementor-element elementor-element-06b7c53\" data-id=\"06b7c53\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-323e76c elementor-widget elementor-widget-html\" data-id=\"323e76c\" 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<html>\r\n<head>\r\n<style>\r\n#customers {\r\n  font-family: Arial, Helvetica, sans-serif;\r\n  border-collapse: collapse;\r\n  width: 100%;\r\n  font-size:14px;\r\n}\r\n\r\n#customers td, #customers th {\r\n  border: 1px solid #ddd;\r\n  padding: 4px;\r\n}\r\n\r\n#customers tr:nth-child(even){background-color: #f2f2f2;}\r\n\r\n\r\n\r\n#customers th {\r\n \r\n  text-align: left;\r\n  background-color: #04AA6D;\r\n  color: white;\r\n  padding: 4px;\r\n}\r\n\r\n\r\n\r\n<\/style>\r\n<\/head>\r\n<body>\r\n\r\n\r\n<table id=\"customers\">\r\n \r\n\r\n  <tr>\r\n    <td colspan=\"4\" bgcolor=\"#FFFFFF\" style=\"color:#FF0000\">Following is the complete list of courses offered for M. Phil\/Ph.D. Programs<\/td>\r\n  <\/tr>\r\n  <tr>\r\n  \r\n    <th width=\"20%\">Code<\/th>\r\n    <th width=\"60%\">Course Name<\/th>\r\n\t <th width=\"20%\">Credit Hours<\/th>\r\n  <\/tr>\r\n  \r\n  \r\n  <!---------Enter here--------->\r\n  \r\n<tr><td>MTH -701<\/td><td>Advance Calculus<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH -702<\/td><td>Advance Measure Theory-I<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH -703<\/td><td>Advance Measure Theory-II<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-704<\/td><td>Advanced Group Theory-I<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-705<\/td><td>Advanced Group Theory-II<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-706<\/td><td>Advanced Numerical Analysis<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-708<\/td><td>Algebraic Topology<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-709<\/td><td>Fixed Point Theory<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-710<\/td><td>Hilbert Space Methods<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-711<\/td><td>Linear Algebra<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-712<\/td><td>Mathematical Techniques for Boundary Value Problems<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-713<\/td><td>Numerical Linear Algebra<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-714<\/td><td>Numerical Methods for Delay Differential Equations<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-715<\/td><td>Numerical Methods for Ordinary Differential Equations<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-716<\/td><td>Numerical Solutions of Partial Differential Equations-I<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-717<\/td><td>Perturbation Methods-I<\/td><td>3<\/td><\/tr>\r\n<tr><td>MTH-718<\/td><td>Perturbation Methods-II<\/td><td>4<\/td><\/tr>\r\n<tr><td>MTH-719<\/td><td>Spectral Methods for Time Dependent Problems<\/td><td>5<\/td><\/tr>\r\n<tr><td>MTH-720<\/td><td>Theory of Fluids<\/td><td>6<\/td><\/tr>\r\n<tr><td>MTH-721<\/td><td>Uniform Convexity and Non-Expensive Mapping<\/td><td>7<\/td><\/tr>\r\n<tr><td>MTH-722<\/td><td>Viscous Fluid-I<\/td><td>8<\/td><\/tr>\r\n<tr><td>MTH-723<\/td><td>Viscous Fluid-II<\/td><td>9<\/td><\/tr>\r\n<tr><td>MTH-724<\/td><td>Field Theory<\/td><td>10<\/td><\/tr>\r\n<tr><td>MTH-725<\/td><td>Rings and Categories of Modules<\/td><td>11<\/td><\/tr>\r\n<tr><td>MTH-726<\/td><td>Gas Dynamics<\/td><td>12<\/td><\/tr>\r\n<tr><td>MTH-727<\/td><td>Theoretical Astrophysics<\/td><td>13<\/td><\/tr>\r\n<tr><td>MTH-728<\/td><td>Topological Vector Spaces<\/td><td>14<\/td><\/tr>\r\n<tr><td>MTH-729<\/td><td>Spectral Theory in Hilbert Spaces<\/td><td>15<\/td><\/tr>\r\n<tr><td>MTH-730<\/td><td>Banach Algebras<\/td><td>16<\/td><\/tr>\r\n<tr><td>MTH-731<\/td><td>Finite Element Method-I<\/td><td>17<\/td><\/tr>\r\n<tr><td>MTH-732<\/td><td>Finite Element Method-II<\/td><td>18<\/td><\/tr>\r\n<tr><td>MTH-733<\/td><td>Numerical Solutions of Partial Differential Equations-II<\/td><td>19<\/td><\/tr>\r\n<tr><td>MTH-734<\/td><td>Advanced Complex Analysis<\/td><td>20<\/td><\/tr>\r\n<tr><td>MTH-735<\/td><td>Advanced Mathematical Statistics<\/td><td>21<\/td><\/tr>\r\n<tr><td>MTH-736<\/td><td>Advanced Topology<\/td><td>22<\/td><\/tr>\r\n<tr><td>MTH-737<\/td><td>Approximation Theory and Applications<\/td><td>23<\/td><\/tr>\r\n<tr><td>MTH-738<\/td><td>Boundary Layer Flows<\/td><td>24<\/td><\/tr>\r\n<tr><td>MTH-739<\/td><td>Computational Fluid Dynamics for Laminar Flows<\/td><td>25<\/td><\/tr>\r\n<tr><td>MTH-740<\/td><td>Discontinuous Galerkin Methods for solving PDE\u2019s<\/td><td>26<\/td><\/tr>\r\n<tr><td>MTH-741<\/td><td>Integral Equations<\/td><td>27<\/td><\/tr>\r\n<tr><td>MTH-742<\/td><td>Non-linear Ordinary Differential Equations I<\/td><td>28<\/td><\/tr>\r\n<tr><td>MTH-743<\/td><td>Non-linear Ordinary Differential Equations II<\/td><td>29<\/td><\/tr>\r\n<tr><td>MTH-744<\/td><td>Optimization Theory<\/td><td>30<\/td><\/tr>\r\n<tr><td>MTH-745<\/td><td>Parallel Scientific Computing<\/td><td>31<\/td><\/tr>\r\n<tr><td>MTH-746<\/td><td>Partial Differential Equations<\/td><td>32<\/td><\/tr>\r\n<tr><td>MTH-747<\/td><td>Special Functions-I<\/td><td>33<\/td><\/tr>\r\n<tr><td>MTH-748<\/td><td>Special Functions-II<\/td><td>34<\/td><\/tr>\r\n<tr><td>MTH-749<\/td><td>Spectral Methods in Fluid Dynamics<\/td><td>35<\/td><\/tr>\r\n<tr><td>MTH-750<\/td><td>Strict Convexity<\/td><td>36<\/td><\/tr>\r\n<tr><td>MTH-751<\/td><td>Topological Groups<\/td><td>37<\/td><\/tr>\r\n<tr><td>MTH-752<\/td><td>Numerical Ranges of Operators On Normed Spaces<\/td><td>38<\/td><\/tr>\r\n<tr><td>MTH-753<\/td><td>Von Neumann Algebras<\/td><td>39<\/td><\/tr>\r\n<tr><td>MTH-754<\/td><td>Advance Modules Theory<\/td><td>40<\/td><\/tr>\r\n<tr><td>MTH-755<\/td><td>Advance Ring Theory<\/td><td>41<\/td><\/tr>\r\n<tr><td>MTH-756<\/td><td>Advance Knot Theory-I<\/td><td>42<\/td><\/tr>\r\n<tr><td>MTH-757<\/td><td>Advance Knot Theory-II<\/td><td>43<\/td><\/tr>\r\n<tr><td>MTH-758<\/td><td>Galois Theory<\/td><td>44<\/td><\/tr>\r\n<tr><td>MTH-759<\/td><td>Topological Groups<\/td><td>45<\/td><\/tr>\r\n<tr><td>MTH-760<\/td><td>Differential Topology<\/td><td>46<\/td><\/tr>\r\n<tr><td>MTH-761<\/td><td>Advance Homotopy Theory-I<\/td><td>47<\/td><\/tr>\r\n<tr><td>MTH-762<\/td><td>Advance Homotopy Theory-II<\/td><td>48<\/td><\/tr>\r\n<tr><td>MTH-763<\/td><td>Commutative Rings-I<\/td><td>49<\/td><\/tr>\r\n<tr><td>MTH-764<\/td><td>Commutative Rings-II<\/td><td>50<\/td><\/tr>\r\n<tr><td>MTH-765<\/td><td>Multivariate Analysis-I<\/td><td>51<\/td><\/tr>\r\n<tr><td>MTH-766<\/td><td>Multivariate Analysis-II<\/td><td>52<\/td><\/tr>\r\n<tr><td>MTH-767<\/td><td>Advanced Fluid Dynamics-I<\/td><td>53<\/td><\/tr>\r\n<tr><td>MTH-768<\/td><td>Advanced Fluid Dynamics-II<\/td><td>54<\/td><\/tr>\r\n<tr><td>MTH-769<\/td><td>Applied Non-Parametric Methods<\/td><td>55<\/td><\/tr>\r\n<tr><td colspan=\"3\" style=\"color:#FF0000\">MTH-769Note: Every student will have to opt four courses in both the semesters 1st & 2nd, subject to the availability of teaching faculty and convenience of the department. After successful completion of course work, students will write down their dissertation in 3rd & 4th semester.55<\/td><\/tr>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n  \r\n  <!--- Enter Here--->\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\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\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\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Department of Mathematics Master of Philosophy in Mathematics Home Faculty Members Programs Introduction The Master of Philosophy (M.Phil.) in Mathematics [&hellip;]<\/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":"","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"disabled","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":"disabled","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","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-opacity":"","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-opacity":"","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-opacity":"","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-opacity":"","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-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-5332","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/pages\/5332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/comments?post=5332"}],"version-history":[{"count":10,"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/pages\/5332\/revisions"}],"predecessor-version":[{"id":5386,"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/pages\/5332\/revisions\/5386"}],"wp:attachment":[{"href":"http:\/\/gu.edu.pk\/index.php\/wp-json\/wp\/v2\/media?parent=5332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}