{"id":909,"date":"2021-12-26T10:24:50","date_gmt":"2021-12-26T10:24:50","guid":{"rendered":"https:\/\/itgeeks.in\/home\/?p=909"},"modified":"2021-12-26T10:24:58","modified_gmt":"2021-12-26T10:24:58","slug":"2k6-301-engineering-mathematics-ii","status":"publish","type":"post","link":"https:\/\/itgeeks.in\/home\/?p=909","title":{"rendered":"2K6  301 : ENGINEERING MATHEMATICS II"},"content":{"rendered":"\n<p><strong>Module I:<\/strong><br>Infinite Series: Convergence and divergence of infinite series \u2013 Ratio test \u2013 Comparison test \u2013 Raabe\u2019s test \u2013 Root test \u2013 Series of positive and negative terms- absolute convergence \u2013 Test for alternating series. Power Series: Interval of convergence \u2013 Taylors and Maclaurins series representation of functions \u2013 Leibnitz formula for the derivative of the product of two functions \u2013 use of Leibnitz formula in the Taylor and Maclaurin expansions<br><strong>Module II:<\/strong><br>Matrices: Concept of rank of a matrix \u2013echelon and normal forms \u2013 System of linear equation &#8211; consistency \u2013 Gauss elimination\u2013 Homogeneous liner equations-Fundamental system of solutions- Inverse of a matrix \u2013 solution of a system of equations using matrix inversion \u2013 eigen values and eigen vectors &#8211; Cayley- Hamilton Theorem.<br><strong>Module III:<\/strong><br>Vector Integral Calculus: Evaluation of line integral, surface integral and volume integrals \u2013 Line integrals independent of the path, conservative force fields, scalar potential- Green\u2019s theorem- Gauss\u2019 divergence theorem- Stoke\u2019s theorem (proof of these not required).<br><strong>Module IV:<\/strong><br>Vector Spaces: subspaces\u2013linear dependence and independence\u2013bases and dimension-linear<br>transformations -sums, products and inverse of linear transformations.<\/p>\n\n\n\n<p><strong>References:<\/strong><br>1.\u00a0<a href=\"https:\/\/itgeeks.in\/home\/?p=133\">Kreyszing E. Advanced Engineering Mathematics, Wiley Eastern<\/a><br>2. Sastri. S. S. Engineering Mathematics, Prentice Hall of India.<br>3.\u00a0<a href=\"https:\/\/itgeeks.in\/home\/?p=128\">Wylie .C. R. Advanced Engineering Mathematics, Mc Grawhill.<\/a><br>4. <a href=\"https:\/\/itgeeks.in\/home\/?p=131\">B .S. Grewal. Higher Engineering Mathematics, Khanna Publishers.<\/a><br>5.\u00a0Greenberg. M.D. Advanced Engineering Mathematics, Pearson Education Asia.<br>6. Narayanan .S. Manickavachagom Pella and Ramaiah. Advanced Mathematics for Engineering Students, S. Viswanathan Publishers<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/itgeeks.in\/home\/?p=86\">S3 Question Papers<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/itgeeks.in\/home\/?p=84\">Notes<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Module I:Infinite Series: Convergence and divergence of infinite series \u2013 Ratio test \u2013 Comparison test \u2013 Raabe\u2019s test \u2013 Root<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45,44,40,42,41,39,43,18,9,8],"tags":[7],"class_list":["post-909","post","type-post","status-publish","format-standard","hentry","category-ku-s3-aei","category-ku-s3-ce","category-ku-s3-cse","category-ku-s3-ece","category-ku-s3-eee","category-ku-s3-it","category-ku-s3-me","category-ku-syb-s3","category-ku-syllabus","category-syllabus","tag-kannur-university"],"_links":{"self":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/909","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=909"}],"version-history":[{"count":1,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/909\/revisions"}],"predecessor-version":[{"id":910,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/909\/revisions\/910"}],"wp:attachment":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=909"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=909"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=909"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}