{"id":21428,"date":"2020-07-12T02:22:31","date_gmt":"2020-07-12T02:22:31","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/18mat31-transform-calculus-fourier-series-and-numerical-techniques-petrochem-syllabus-for-be-3rd-sem-2018-scheme-vtu\/"},"modified":"2020-07-12T02:22:31","modified_gmt":"2020-07-12T02:22:31","slug":"18mat31-transform-calculus-fourier-series-and-numerical-techniques-petrochem-syllabus-for-be-3rd-sem-2018-scheme-vtu","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/18mat31-transform-calculus-fourier-series-and-numerical-techniques-petrochem-syllabus-for-be-3rd-sem-2018-scheme-vtu\/","title":{"rendered":"18MAT31: Transform Calculus, Fourier Series and Numerical Techniques Petrochem Syllabus for BE 3rd Sem 2018 Scheme VTU"},"content":{"rendered":"<p align=\"justify\">Transform Calculus, Fourier Series and Numerical Techniques detailed Syllabus for Petrochem Engineering (Petrochem), 2018 scheme has been taken from the <a href=\"https:\/\/vtu.ac.in\/b-e-scheme-syllabus\/\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">VTUs<\/a> official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical\/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information do visit full semester subjects post given below. <\/p>\n<p align=\"justify\">The Syllabus PDF files can also be downloaded from the official website of the university.<\/p>\n<p align=\"justify\">For all other VTU Petrochem 3rd Sem Syllabus for BE 2018 Scheme, do visit <a href=\"..\/vtu-petrochem-3rd-sem-syllabus-for-be-2018-scheme\">VTU Petrochem 3rd Sem Syllabus for BE 2018 Scheme <\/a>Subjects. The detailed Syllabus for transform calculus, fourier series and numerical techniques is as follows.  <\/p>\n<h4>Course Learning Objectives:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Module-1<\/h4>\n<p>  Laplace Transforms: Definition and Laplace transform of elementary functions. Laplace transforms of Periodic functions and unit-step function &#8211; problems. Inverse Laplace Transforms: Inverse Laplace transform &#8211; problems, Convolution theorem to find the inverse Laplace transform (without proof) and problems, solution of linear differential equations using Laplace transform.<\/p>\n<h4>Module-2<\/h4>\n<p>  Fourier Series: Periodic functions, Dirichlet&#8217;s condition. Fourier series of periodic functions period 2n and arbitrary period. Half range Fourier series. Practical harmonic analysis, examples from engineering field.<\/p>\n<h4>Module-3<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Module-4<\/h4>\n<p>  Numerical Solutions of Ordinary Differential Equations (ODE&#8217;s): Numerical solution of ODE&#8217;s of first order and first degree- Taylor&#8217;s series method, Modified Euler&#8217;s method. Range &#8211; Kutta method of fourth order, Milne&#8217;s and Adam-Bashforth predictor and corrector method (No derivations of formulae), Problems.<\/p>\n<h4>Module-5<\/h4>\n<p>  Numerical Solution of Second Order ODE&#8217;s: Runge -Kutta method and Milne&#8217;s predictor and corrector method.(No derivations of formulae). Calculus of Variations: Variation of function and functional, variational problems, Euler&#8217;s equation, Geodesics, hanging chain, problems.<\/p>\n<h4>Course Outcomes:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Question paper pattern:<\/h4>\n<ul>\n<li>The question paper will have ten full questions carrying equal marks.<\/li>\n<li>Each full question will be for 20 marks.<\/li>\n<li>There will be two full questions (with a maximum of four sub- questions) from each module.<\/li>\n<\/ul>\n<h4>Textbooks:<\/h4>\n<ol>\n<li>Advanced Engineering Mathematics E. Kreyszig John Wiley &amp; Sons 10th Edition, 2016<\/li>\n<li>Higher Engineering Mathematics B. S. Grewal Khanna Publishers 44th Edition, 2017<\/li>\n<li>Engineering Mathematics Srimanta Pal et al Oxford University Press 3rd Edition, 2016<\/li>\n<\/ol>\n<h4>Reference Books:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Web links and Video Lectures:<\/h4>\n<ol>\n<li>http:\/\/nptel.ac.in\/courses.php?disciplineID=111<\/li>\n<li>http:\/\/www.class-central.com\/subject\/math(MOOCs)<\/li>\n<li>http:\/\/academicearth.org\/<\/li>\n<li>VTU EDUSAT PROGRAMME &#8211; 20<\/li>\n<\/ol>\n<p align=\"justify\">For detail Syllabus of all other subjects of BE 3rd Sem Petrochem Engineering, visit <a href=\"..\/category\/petrochem+3rd-sem\">(Petrochem) 3rd Sem Syllabus<\/a> Subjects.<\/p>\n<p align=\"justify\">For all (CBSE &amp; Non-CBSC) BE results, visit <a href=\"https:\/\/www.inspirenignite.com\/vtu\/vtu-b-e-b-tech-results\/\">VTU BE all semester results<\/a> direct links.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Transform Calculus, Fourier Series and Numerical Techniques detailed Syllabus for Petrochem Engineering (Petrochem), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For [&hellip;]<\/p>\n","protected":false},"author":2298,"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":[4,86],"tags":[],"class_list":["post-21428","post","type-post","status-publish","format-standard","hentry","category-3rd-sem","category-petrochem"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/21428","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\/2298"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/comments?post=21428"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/21428\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=21428"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=21428"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=21428"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}