\u2022 Formula Sheets<\/a><\/strong><\/p>\n \u2022 Some revision of partial differentiation<\/strong><\/p>\n See Tutorial 11, and Tutorial 11 Supplement on partial differentiation (from 1st year Maths). If you need revision of this topic, it is probably best to look at the supplementary tutorial first. Here is a pdf copy of\u00a0 Tutorial 11<\/a> and a link to the ‘clickable version’ of the Tutorial 11 Supplementary<\/a> (in which you can click on the green bits).<\/p>\n \u2022 Past January Continuous Assessment Test – Questions & Solutions<\/strong><\/p>\n Sample Exam Questions Handout<\/strong><\/a> \u2022 Presentation Slides<\/strong><\/p>\n h1<\/a>\u00a0 | \u00a0 h2<\/a>\u00a0 | \u00a0 h3<\/a>\u00a0 |\u00a0 h4<\/a>\u00a0 |\u00a0 h5<\/a>\u00a0 |\u00a0 h6<\/a>\u00a0 |\u00a0 h7<\/a>\u00a0 |\u00a0 h8<\/a>\u00a0 |\u00a0 h9<\/a> |\u00a0 h10<\/a><\/p>\n \u2022 Presentation Summaries<\/strong><\/p>\n h1<\/a>\u00a0 | \u00a0 h2<\/a>\u00a0 | \u00a0 h3<\/a>\u00a0 | \u00a0 h4<\/a>\u00a0 |\u00a0 h5<\/a>\u00a0 |\u00a0 h6<\/a>\u00a0 |\u00a0 h7<\/a>\u00a0 |\u00a0 h8<\/a>\u00a0 |\u00a0 h9<\/a>\u00a0 |\u00a0 h10 <\/a><\/p>\n \u2022 Review of fundamental concepts. Scalar, vector and conservative fields. Grad, divergence, flux and curl.<\/p>\n Handouts 1, 2 & 3 Handout 4<\/a><\/p>\n Tutorial B scan (with extra solutions)<\/a> \u00a0|\u00a0 Tutorial B (interactive copy)<\/a>\u00a0 (div & curl introduction) Main Tutorial 1<\/strong><\/a><\/p>\n \u2022 The divergence theorem and Stoke’s theorem. The Laplacian and curvilinear coordinates. Examples from electrostatics, magnetism, fluid dynamics, mechanics, heat flow.<\/p>\n Handouts 5 & 6<\/a><\/p>\n Main Tutorial 2<\/strong><\/a><\/p>\n \u2022 Basic definitions and operations.<\/p>\n Tutorial D scan<\/a> \u00a0|\u00a0 Tutorial D (interactive copy)<\/a>\u00a0\u00a0 (matrix multiplication)<\/p>\n \u2022 Cramer’s rule and Laplace expansion. Rank, linear independence, elementary row operations and matrices in echelon form. Properties of determinants. Special matrices and matrix inversion. Eigenvalues and eigenvectors.<\/p>\n \u2022 Applications in electrical circuits, rotation of co-ordinates, transmission through single and cascaded linear systems (such as in optics and electronics)<\/p>\n Handouts 7, 8 & 9<\/a> \u2022 Review of ordinary differential equations. Important partial differential equations (PDE’s). Solution of PDEs and the role of arbitrary functions. Separation of variables. Examples drawn from a broad range of physics<\/p>\n Handout 10<\/a> Mathematical Methods & Applications (sem 1 of 33098) \u2022 Formula Sheets \u2022 Some revision of partial differentiation See Tutorial 11, and Tutorial 11 Supplement on partial differentiation (from 1st year Maths). If you need revision of this topic, it is probably best to look at the supplementary tutorial first. Here is a pdf copy of\u00a0 … Continue reading MMA<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-483","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/483","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/comments?post=483"}],"version-history":[{"count":12,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/483\/revisions"}],"predecessor-version":[{"id":1569,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/483\/revisions\/1569"}],"wp:attachment":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/media?parent=483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nHigher resolution copies: Sample Exam 1<\/strong><\/a> | Sample Exam 2<\/strong><\/a> | Sample Exam 3<\/strong><\/a><\/p>\nVector Calculus<\/h2>\n
\n<\/a>
\nTutorial A scan (with extra solutions)<\/a> \u00a0|\u00a0 Tutorial A (interactive copy)<\/a>\u00a0 (grad & direction derivatives)<\/p>\n
\nTutorial C (interactive copy)<\/a> \u00a0 (using the Laplacian operator)
\nNote on the Laplacian of Scalar and Vector Fields<\/a><\/p>\nDeterminants and Matrices<\/h2>\n
\nMain Tutorial 3<\/strong><\/a><\/p>\nDifferential Equations<\/h2>\n
\nMain Tutorial 4<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"