{"id":2771,"date":"2019-02-04T21:58:23","date_gmt":"2019-02-04T16:28:23","guid":{"rendered":"http:\/\/localhost\/wordpress\/?page_id=2771"},"modified":"2019-02-04T21:58:23","modified_gmt":"2019-02-04T16:28:23","slug":"ph-401-mathematic-al-physics","status":"publish","type":"page","link":"https:\/\/www.geos.iitb.ac.in\/index.php\/ph-401-mathematic-al-physics\/","title":{"rendered":"PH 401 Mathematic al Physics"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2771\" class=\"elementor elementor-2771 elementor-bc-flex-widget\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-50c25ee elementor-section-stretched elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"50c25ee\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-856a3c1\" data-id=\"856a3c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b8e932 elementor-section-stretched elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"5b8e932\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-214591e\" data-id=\"214591e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c1f26bf elementor-widget elementor-widget-heading\" data-id=\"c1f26bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.3 - 28-12-2021 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">PH 401: Mathematic al Physics <\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-834bdb7 elementor-widget elementor-widget-heading\" data-id=\"834bdb7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Syllabus\u200b<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ccc168 elementor-widget elementor-widget-text-editor\" data-id=\"7ccc168\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.3 - 28-12-2021 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#818a91;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#818a91;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>Scalar and vector fields. Vector equations, Differentiations, gradient tangent plane, divergence and curl. Integrations, surface and volume integrals, Green, Gauss, and Stokes theorems and their applications. Transformations of coordinate systems and vector components, metric coefficients, curvilinear coordinate. Expressions for grad. div. and curl. Helmholtz eqn in three dimensions and separation of variables in various coordinate systems. Matrices and determinants. Linear equations of homogenous and inhomogenous types. Linear vector spaces. Scalar product. Linear independence, Change of basis. Schmidt orthogonalisation. Special matrices. Bilinear and quadratic forms. Eigenvalues and Eigenvectors. Transformation of matrices, diagonalization, orthogonal and unitary transformations. Functions of a complex variable, limit, continuity, analytic function, Cauchy formula, Laurent series, isolated and essential singularities. Contour integrations. Conformal transformations. Fourier series. Fourier and Laplace transforms with applications.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-61ddbb1 elementor-widget elementor-widget-heading\" data-id=\"61ddbb1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Texts\/References<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8cca693 elementor-widget elementor-widget-text-editor\" data-id=\"8cca693\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>M.R. Spiegel, Vector Analysis, Schaum\u2019s outline series, Tata McGraw Hill,1979<\/li><li>J.W. Brown and R.V. Churchill, Complex variables and applications, 6th ed., McGraw Hill, 1996<\/li><li>M.J.Ablowitz, A.S.Fokas, Complex variables, Cambridge Univ. Press., First South Asian paperback edition, 1998<\/li><li>H.A. Hinchey, Introduction to Applicable Mathematics, Part I, Wiley Eastern, 1980<\/li><li>G. B. Arfken and H.J.Weber, Mathematical methods for physicists, 4th ed. Academic Press, 1995<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>PH 401: Mathematic al Physics Syllabus\u200b Scalar and vector fields. Vector equations, Differentiations, gradient tangent plane, divergence and curl. Integrations, surface and volume integrals, Green, Gauss, and Stokes theorems and their applications. Transformations of coordinate systems and vector components, metric coefficients, curvilinear coordinate. Expressions for grad. div. and curl. Helmholtz eqn in three dimensions and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/2771"}],"collection":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/comments?post=2771"}],"version-history":[{"count":0,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/2771\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/media?parent=2771"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}