{"id":936,"date":"2018-01-31T05:20:30","date_gmt":"2018-01-31T05:20:30","guid":{"rendered":"http:\/\/www.inspirenignite.com\/vtu\/?p=936"},"modified":"2018-02-01T05:12:02","modified_gmt":"2018-02-01T05:12:02","slug":"vtu-beb-tech-2017-2018-detailed-syllabus-engineering-mathematics-ii","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/vtu-beb-tech-2017-2018-detailed-syllabus-engineering-mathematics-ii\/","title":{"rendered":"VTU BE\/B.Tech (2017 &#8211; 2018) Detailed Syllabus Engineering Mathematics-II"},"content":{"rendered":"<p>Engineering Mathematics-II 2017 &#8211; 2018 Syllabus\u00a0for BE\/B.Tech sem I &amp; sem II\u00a0is\u00a0covered here. This will help you to understand complete curriculum along with details such as exam marks and duration. The details are as follows.<\/p>\n<table>\n<tbody>\n<tr>\n<th>Subject Code<\/th>\n<th>17MAT21<\/th>\n<th>IA Marks<\/th>\n<th>40<\/th>\n<\/tr>\n<tr>\n<td>Number of Lecture Hours\/Week<\/td>\n<td>04<\/td>\n<td>Exam Marks<\/td>\n<td>60<\/td>\n<\/tr>\n<tr>\n<td>Total Number of Lecture Hours<\/td>\n<td>50<\/td>\n<td>Exam Hours<\/td>\n<td>03<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: center\"><strong>CREDITS &#8211; 04<\/strong><\/p>\n<p><strong>Course objectives:\u00a0<\/strong>To enable students to apply the knowledge of Mathematics in various engineering\u00a0fields by making them to learn the following\u2019<\/p>\n<ul>\n<li>Ordinary differential equations<\/li>\n<li>Partial differential equations<\/li>\n<li>Double and triple integration<\/li>\n<li>Laplace transform<\/li>\n<\/ul>\n<p><strong>Module \u2013 I \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Linear differential equations with constant coefficients:<\/strong> Solutions\u00a0of second and higher order differential equations &#8211; inverse differential \u00a0operator method, method of undetermined coefficients and method of\u00a0variation of parameters.<\/p>\n<p><strong>Module -2 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Differential equations-2:\u00a0<\/strong>Linear differential equations with variable coefficients: Solution of\u00a0Cauchy\u2019s and Legendre\u2019s linear differential equations.\u00a0Nonlinear differential equations &#8211; Equations solvable for p,\u00a0equations solvable for y, equations solvable for x, general and singular\u00a0solutions, Clairauit\u2019s equations and equations reducible to Clairauit\u2019s\u00a0form.<\/p>\n<p><strong>Module \u2013 3 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 \u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Partial Differential equations:\u00a0<\/strong>Formulation of Partial differential equations by elimination of\u00a0arbitrary constants\/functions, solution of non-homogeneous Partial\u00a0differential equations by direct integration, solution of homogeneous\u00a0Partial differential equations involving derivative with respect to one\u00a0independent variable only.\u00a0Derivation of one dimensional heat and wave equations and their\u00a0solutions by variable separable method.<\/p>\n<p><strong>Module-4 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/strong><strong>\u00a0[Hours \u2013 10]<\/strong><strong> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><br \/>\n<strong> Integral Calculus:\u00a0<\/strong>Double and triple integrals: Evaluation of double and triple\u00a0integrals. Evaluation of double integrals by changing the order of\u00a0integration and by changing into polar co-ordinates. Application of\u00a0double and triple integrals to find area and volume. . Beta and\u00a0Gamma functions: definitions, Relation between beta and gamma\u00a0functions and simple problems.<\/p>\n<p><strong>Module-5 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Laplace Transform:\u00a0<\/strong>Definition and Laplace transforms of elementary functions.\u00a0Laplace transforms of ,<br \/>\n(without proof) ,\u00a0periodic functions and unit-step function- problems\u00a0Inverse Laplace Transform\u00a0Inverse Laplace Transform &#8211; problems, Convolution theorem to\u00a0find the inverse Laplace transforms(without proof) and problems,\u00a0solution of linear differential equations using Laplace Transforms.<\/p>\n<p><strong>Course outcomes:\u00a0<\/strong>On completion of this course, students are able to,<\/p>\n<ul>\n<li>solve differential equations of electrical circuits, forced oscillation of mass spring\u00a0and elementary heat transfer.<\/li>\n<li>solve partial differential equations fluid mechanics, electromagnetic theory and\u00a0heat transfer.<\/li>\n<li>Evaluate double and triple integrals to find area , volume, mass and moment of\u00a0inertia of plane and solid region.<\/li>\n<li>Use curl and divergence of a vector valued functions in various applications of\u00a0electricity, magnetism and fluid flows.<\/li>\n<li>Use Laplace transforms to determine general or complete solutions to linear ODE<\/li>\n<\/ul>\n<p><strong>Question paper pattern:<\/strong><\/p>\n<ul>\n<li>The question paper will have ten questions.<\/li>\n<li>Each full Question consisting of 20 marks<\/li>\n<li>There will be 2 full questions(with a maximum of four sub questions) from\u00a0each module.<\/li>\n<li>Each full question will have sub questions covering all the topics under a\u00a0module.<\/li>\n<li>The students will have to answer 5 full questions, selecting one full question\u00a0from each module.<\/li>\n<\/ul>\n<p><strong>Text Books:<\/strong><\/p>\n<ul>\n<li>B. S. Grewal,&#8221; Higher Engineering Mathematics&#8221;, Khanna publishers,\u00a042nd edition, 2013.<\/li>\n<li>Kreyszig, &#8220;Advanced Engineering Mathematics &#8221; &#8211; Wiley, 2013<\/li>\n<\/ul>\n<p><strong>Reference Books:<\/strong><\/p>\n<ul>\n<li>B.V.Ramana &#8220;Higher Engineering M athematics&#8221; Tata Mc Graw-Hill, 2006<\/li>\n<li>N P Bali and Manish Goyal, &#8220;A text book of Engineering mathematics&#8221; ,\u00a0Laxmi publications, latest edition.\u00a0H. K Dass and Er. Rajnish Verma ,&#8221;Higher Engineerig Mathematics&#8221;,\u00a0S. Chand publishing,1st edition, 2011.<\/li>\n<\/ul>\n<p><em>For all other B.E \/\u00a0B.Tech Sem 1st and 2nd \u00a0syllabus go to <strong><a href=\"https:\/\/www.inspirenignite.com\/vtu\/vtu-b-e-b-tech-first-and-second-sem-course-structure-under-cbcs-scheme-for-2017-2018-admitted-batch\/\">VTU B.E \/\u00a0B.Tech 1st and 2nd Year Sem Course Structure for (2017 \u2013 2018) Batch.<\/a><\/strong><\/em><\/p>\n<p><em>All details and cutoffs for previous years are provided at Inspire n Ignite (InI). For all updates please like us on Facebook and follow us on google plus.<\/em><\/p>\n<p><em>Do share this with friends and in case of questions please feel free to drop comments.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Engineering Mathematics-II 2017 &#8211; 2018 Syllabus\u00a0for BE\/B.Tech sem I &amp; sem II\u00a0is\u00a0covered here. This will help you to understand complete curriculum along with details such as exam marks and duration. [&hellip;]<\/p>\n","protected":false},"author":2259,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[2,3,15],"tags":[],"class_list":["post-936","post","type-post","status-publish","format-standard","hentry","category-1st-sem","category-2nd-sem","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/936","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/users\/2259"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/comments?post=936"}],"version-history":[{"count":5,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/936\/revisions"}],"predecessor-version":[{"id":14561,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/936\/revisions\/14561"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}