{"id":922,"date":"2018-01-30T06:48:13","date_gmt":"2018-01-30T06:48:13","guid":{"rendered":"http:\/\/www.inspirenignite.com\/vtu\/?p=922"},"modified":"2020-06-23T15:19:07","modified_gmt":"2020-06-23T15:19:07","slug":"vtu-beb-tech-2017-2018-detailed-syllabus-engineering-mathematics-i","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/vtu-beb-tech-2017-2018-detailed-syllabus-engineering-mathematics-i\/","title":{"rendered":"Engineering Mathematics-I VTU Syllabus BE\/B.Tech 2017-18)"},"content":{"rendered":"<p>Engineering Mathematics-I <a href=\"https:\/\/vtu.ac.in\/b-e-scheme-syllabus\/\" target=\"_blank\" rel=\"noopener\">VTU<\/a> Syllabus BE\/B.Tech sem I and sem II is covered here. This will help you get a complete picture of the modules in this subject including subtopics in each module. Further, information about exam marks, duration of the course and the credits is provided. The details are as follows.<\/p>\n<table>\n<tbody>\n<tr>\n<th>Subject Code<\/th>\n<th>17MAT11<\/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><strong>CREDITS &#8211; 04<\/strong><\/p>\n<h3>Engineering Mathematics-I VTU Syllabus 2017-18<\/h3>\n<p><strong>Course Objectives:\u00a0<\/strong>To enable the students to apply the knowledge of Mathematics in various\u00a0engineering fields by making them to learn the following:<\/p>\n<ul>\n<li>nth derivatives of product of two functions and polar curves.<\/li>\n<li>Partial derivatives<\/li>\n<li>Vector calculus<\/li>\n<li>Reduction formulae of integration; To solve First order differential\u00a0equations.<\/li>\n<li>Solution of system of linear equations , quadratic forms.<\/li>\n<\/ul>\n<p><strong>Module &#8211; 1 \u00a0 \u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong>Differential Calculus -1:<\/strong> determination of nth order derivatives of\u00a0Standard functions &#8211; Problems. Leibnitz\u2019s theorem (without proof)\u00a0&#8211; problems.\u00a0Polar Curves &#8211; angle between the radius vector and tangent,\u00a0angle between two curves, Pedal equation of polar curves.\u00a0Derivative of arc length &#8211; Cartesian, Parametric and Polar forms\u00a0(without proof) &#8211; problems. Curvature and Radius of\u00a0Curvature \u2013 Cartesian, Parametric, Polar and Pedal forms\u00a0(without proof) -problems<\/p>\n<p><strong>Module -2 \u00a0 \u00a0 \u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Differential Calculus -2\u00a0<\/strong>Taylor\u2019s and Maclaurin\u2019s theorems for function of one\u00a0variable(statement only)- problems. Evaluation of Indeterminate\u00a0forms.\u00a0Partial derivatives \u2013 Definition and simple problems, Euler\u2019s\u00a0theorem(without proof) \u2013 problems, total derivatives, partial\u00a0differentiation of composite functions-problems. Definition and\u00a0evaluation of Jacobians<\/p>\n<p><strong>Module \u2013 3 \u00a0 \u00a0 \u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\nVector Calculus:\u00a0Derivative of vector valued functions, Velocity, Acceleration and\u00a0related problems, Scalar and Vector point functions. Definition of\u00a0Gradient, Divergence and Curl-problems. Solenoidal and\u00a0Irrotational vector fields. Vector identities &#8211; div(\u0278A), curl (\u0278A ),\u00a0curl( grad \u0278), div(curl A).<\/p>\n<p><strong>Module-4 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Integral Calculus:\u00a0<\/strong>Reduction formulae &#8211; (m\u00a0and n are positive integers), evaluation of these integrals with \u00a0standard limits (0 to \u03c0\/2) and problems.\u00a0Differential Equations ;\u00a0Solution of first order and first degree differential equations\u00a0\u2013 Exact, reducible to exact and Bernoulli\u2019s differential equations\u00a0.Orthogonal trajectories in Cartesian and polar form. Simple<br \/>\nproblems on Newton&#8217;s law of cooling.<\/p>\n<p><strong>Module-5 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[Hours \u2013 10]<\/strong><br \/>\n<strong> Linear Algebra:\u00a0<\/strong>Rank of a matrix by elementary transformations, solution of system of linear equations &#8211; Gauss-elimination method, Gauss \u2013Jordan method and Gauss-Seidel method Eigen values and Eigen vectors, Rayleigh\u2019s power method to find the largest Eigen value and the corresponding Eigen vector. Linear transformation, diagonalization of a square matrix . Reduction of Quadratic form to Canonical form<\/p>\n<p><strong>Course outcomes:\u00a0<\/strong>On completion of this course, students are able to<\/p>\n<ul>\n<li>Use partial derivatives to calculate rates of change of multivariate\u00a0functions.<\/li>\n<li>Analyze position, velocity, and acceleration in two or three dimensions\u00a0using the calculus of vector valued functions.<\/li>\n<li>Recognize and solve first-order ordinary differential equations, Newton\u2019s\u00a0law of cooling<\/li>\n<li>Use matrices techniques for solving systems of linear equations in the\u00a0different areas of Linear Algebra.<\/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)\u00a0from each 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\u00a0question from each module.<\/li>\n<\/ul>\n<p><strong>Text Books:<\/strong><\/p>\n<ul>\n<li>B.S. Grewal, &#8220;Higher Engineering Mathematics&#8221;, Khanna publishers,\u00a042nd edition, 2013.<\/li>\n<li>Erwin Kreyszig, &#8220;Advanced Engineering MathematicsI, Wiley, 2013<\/li>\n<\/ul>\n<p><strong>Reference Books:<\/strong><\/p>\n<ul>\n<li>B.V. Ramana, &#8220;Higher Engineering Mathematics&#8221;, Tata Mc Graw-Hill,\u00a02006<\/li>\n<li>N.P.Bali and Manish Goyal, &#8220;A text book of Engineering mathematics\u201d,\u00a0Laxmi publications, latest edition.<\/li>\n<li>H.K. Dass and Er. RajnishVerma, &#8220;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 &#8211; 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-I VTU Syllabus BE\/B.Tech sem I and sem II is covered here. This will help you get a complete picture of the modules in this subject including subtopics in [&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-922","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\/922","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=922"}],"version-history":[{"count":15,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/922\/revisions"}],"predecessor-version":[{"id":14330,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/922\/revisions\/14330"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}