{"id":18772,"date":"2020-09-12T05:30:22","date_gmt":"2020-09-12T05:30:22","guid":{"rendered":"https:\/\/www.inspirenignite.com\/mh\/btbsc301-engineering-mathematics-iii-syllabus-for-me-3rd-sem-2019-dbatu\/"},"modified":"2020-09-12T05:30:22","modified_gmt":"2020-09-12T05:30:22","slug":"btbsc301-engineering-mathematics-iii-syllabus-for-me-3rd-sem-2019-dbatu","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/mh\/btbsc301-engineering-mathematics-iii-syllabus-for-me-3rd-sem-2019-dbatu\/","title":{"rendered":"BTBSC301: Engineering Mathematics-III Syllabus for ME 3rd Sem 2019 DBATU"},"content":{"rendered":"<p align=\"justify\">Engineering Mathematics-III detailed syllabus scheme for B.Tech Mechanical Engineering (ME), 2019 onwards has been taken from the <a href=\"https:\/\/dbatu.ac.in\/syllabus-and-course-structure-for-b-tech-programs\/\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">DBATU<\/a> official website and presented for the Bachelor of Technology students. For Subject Code, Course Title, Lecutres, Tutorials, Practice, Credits, and other information, do visit full semester subjects post given below. <\/p>\n<p align=\"justify\">For all other DBATU Syllabus for Mechanical Engineering 3rd Sem 2019, do visit <a href=\"..\/dbatu-syllabus-for-mechanical-engineering-3rd-sem-2019\">ME 3rd Sem 2019 Onwards Scheme<\/a>. The detailed syllabus scheme for engineering mathematics-iii is as follows.<\/p>\n<h2 align=\"center\">Engineering Mathematics-III Syllabus for Mechanical Engineering (ME) 2nd Year 3rd Sem 2019 DBATU<\/h2>\n<p>  <title>Engineering Mathematics-III<\/title><\/p>\n<h4>Prerequisites:<\/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 pdf 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>Unit 1: Laplace Transform[07 Hours]<\/h4>\n<p>  Definition &#8211; conditions for existence ; Transforms of elementary functions ; Properties of Laplace transforms &#8211; Linearity property, first shifting property, second shifting property, transforms of functions multiplied by t^n, scale change property, transforms of functions divided by t, transforms of integral of functions, transforms of derivatives ; Evaluation of integrals by using Laplace transform ; Transforms of some special functions- periodic function, Heaviside-unit step function, Dirac delta function.<\/p>\n<h4>Unit 2: Inverse Laplace Transform[07 Hours]<\/h4>\n<p>  Introductory remarks ; Inverse transforms of some elementary functions ; General methods of finding inverse transforms ; Partial fraction method and Convolution Theorem for finding inverse Laplace transforms ; Applications to find the solutions of linear differential equations and simultaneous linear differential equations with constant coefficients.<\/p>\n<h4>Unit 3: Fourier Transform [07 Hours]<\/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 pdf 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>Unit 4: Partial Differential Equations and Their Applications [07 Hours]<\/h4>\n<p>  Formation of Partial differential equations by eliminating arbitrary constants and functions; Equations solvable by direct integration; Linear equations of first order (Lagranges linear equations); Method of separation of variables &#8211; applications to find solutions of one dimensional heat flow equation (du\/dt = c^2d^2u\/dx^2), and two dimensional heat flow equation (i.e. Laplace equation : d^2u\/dx^2 + d^2u\/dy^2 = 0).<\/p>\n<h4>Unit 5: Functions of Complex Variables (Differential calculus)[07 Hours]<\/h4>\n<p>  Limit and continuity of f(&#8216;z&#8217;); Derivative of f(&#8216;z&#8217;) ; Analytic functions; Cauchy- Riemann equations in Cartesian and polar forms; Harmonic functions in Cartesian form;Mapping: Translation, magnification and rotation, inversion and reflection , bilinear transformation; Conformal mapping.<\/p>\n<h4>Unit 6: Functions of Complex Variables (Integral calculus)[07 Hours]<\/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 pdf 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>Text Books:<\/h4>\n<ol>\n<li>Higher Engineering Mathematics by B. S. Grewal, Khanna Publishers, New Delhi.<\/li>\n<li>Advanced Engineering Mathematics by Erwin Kreyszig, John Wiley &amp; Sons, New York.<\/li>\n<li>A Course in Engineering Mathematics (Vol III) by Dr. B. B. Singh, Synergy Knowledge ware, Mumbai.<\/li>\n<li>A Text Book of Applied Mathematics (Vol I &amp; II) by P. N. Wartikar and J. N. Wartikar, Pune VidyarthiGrihaPrakashan, Pune.<\/li>\n<li>Higher Engineering Mathematics by H. K. Das and Er. RajnishVerma, S. Chand &amp; CO. Pvt. Ltd., New Delhi.<\/li>\n<\/ol>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>Higher Engineering Mathematics by B. V. Ramana, Tata McGraw-Hill Publications, New Delhi.<\/li>\n<li>A Text Book of Engineering Mathematics by Peter O Neil, Thomson Asia Pte Ltd., Singapore.<\/li>\n<li>Advanced Engineering Mathematics by C. R. Wylie &amp; L. C. Barrett, Tata Mcgraw-Hill Publishing Company Ltd., New Delhi.<\/li>\n<li>Integral Transforms and Their Engineering Applications by Dr. B. B. Singh, Synergy. Knowledge ware, Mumbai.<\/li>\n<li>Integral Transforms by I. N. Sneddon, Tata McGraw-Hill, New York.<\/li>\n<\/ol>\n<h4>General Instructions:<\/h4>\n<ol>\n<li>The tutorial classes in Engineering Mathematics-III are to be conducted batch-wise. Each class should be divided into three batches for the purpose.<\/li>\n<li>The Continuous Assessment of the students for 20 marks will be done based on assignments, surprise tests, quizzes, innovative approach to problem solving and percentage attendance.<\/li>\n<li>The minimum number of assignments should be eight covering all topics.<\/li>\n<\/ol>\n<p align=\"justify\">For detail syllabus of all other subjects of Mechanical Engineering (ME) 3rd Sem 2019 regulation, visit <a href=\"..\/category\/dbatu\/3rd-sem-dbatu\">ME 3rd Sem Subjects<\/a> syllabus for 2019 regulation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Engineering Mathematics-III detailed syllabus scheme for B.Tech Mechanical Engineering (ME), 2019 onwards has been taken from the DBATU official website and presented for the Bachelor of Technology students. For Subject [&hellip;]<\/p>\n","protected":false},"author":2351,"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":[95,110],"tags":[],"class_list":["post-18772","post","type-post","status-publish","format-standard","hentry","category-3rd-sem-dbatu","category-me-dbatu"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts\/18772","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/users\/2351"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/comments?post=18772"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts\/18772\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/media?parent=18772"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/categories?post=18772"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/tags?post=18772"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}