{"id":3061,"date":"2017-01-21T13:57:59","date_gmt":"2017-01-21T13:57:59","guid":{"rendered":"http:\/\/www.inspirenignite.com\/anna-university\/?p=3061"},"modified":"2019-07-18T14:42:52","modified_gmt":"2019-07-18T14:42:52","slug":"anna-university-b-tech-btr13-3rd-sem-transforms-and-partial-differential-equations-detailed-syllabus","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-b-tech-btr13-3rd-sem-transforms-and-partial-differential-equations-detailed-syllabus\/","title":{"rendered":"Anna University B.Tech BT(R13) 3rd Sem Transforms and Partial Differential Equations Detailed Syllabus"},"content":{"rendered":"<p>Transforms and Partial Differential Equations Syllabus for B.Tech Third sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.<\/p>\n<p>The detailed syllabus for Transforms and Partial Differential Equations B.Tech 2016-2017 (R13) thirdsem is as follows<\/p>\n<p><strong>OBJECTIVES:<\/strong><\/p>\n<ul>\n<li>To introduce Fourier series analysis which is central to many applications in engineering apart from its use in solving boundary value problems.<\/li>\n<li>To acquaint the student with Fourier transform techniques used in wide variety of situations.<\/li>\n<li>To introduce the effective mathematical tools for the solutions of partial differential equations that model several physical processes and to develop Z transform techniques for discrete time systems.<\/li>\n<\/ul>\n<p><strong>UNIT I PARTIAL DIFFERENTIAL EQUATIONS \u00a0 \u00a0 \u00a0 (9+3 \u00a0hours)<\/strong><br \/>\nFormation of partial differential equations \u2013 Singular integrals \u2014 Solutions of standard types of first order partial differential equations \u2013 Lagrange\u201fs linear equation \u2014 Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.<\/p>\n<p><strong>UNIT II FOURIER SERIES \u00a0 \u00a0\u00a0(9+3 \u00a0hours)<\/strong><br \/>\nDirichlet\u201fs conditions \u2013 General Fourier series \u2013 Odd and even functions \u2013 Half range sine series \u2013 Half range cosine series \u2013 Complex form of Fourier series \u2013 Parseval\u201fs identity \u2013 Harmonic analysis.<\/p>\n<p><strong>UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS \u00a0 \u00a0(9+3 \u00a0hours)<\/strong><br \/>\nClassification of PDE \u2013 Method of separation of variables \u2013 Solutions of one dimensional wave equation \u2013 One dimensional equation of heat conduction \u2013 Steady state solution of two dimensional equation of heat conduction (excluding insulated edges).<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\"><strong>Download iStudy\u00a0Android\u00a0App for complete Anna University syllabus, results, timetables and all other updates. There are no ads and no pdfs and will make your life way easier.<\/strong><\/a><\/p>\n<p><strong>[TOTAL (L:45+T:15): 60 PERIODS]<\/strong><\/p>\n<p><strong>OUTCOMES:<\/strong><\/p>\n<p>The understanding of the mathematical principles on transforms and partial differential equations would provide them the ability to formulate and solve some of the physical problems of engineering.<\/p>\n<p><strong>TEXT BOOKS:<\/strong><\/p>\n<ul>\n<li>Veerarajan. T., \u201cTransforms and Partial Differential Equations\u201d, Second reprint, Tata McGraw Hill Education Pvt. Ltd., New Delhi, 2012.<\/li>\n<li>Grewal. B.S., \u201cHigher Engineering Mathematics\u201d, 42nd Edition, Khanna Publishers, Delhi, 2012.<\/li>\n<li>Narayanan.S., Manicavachagom Pillay.T.K and Ramanaiah.G \u201cAdvanced Mathematics for Engineering Students\u201d Vol. II &amp; III, S.Viswanathan Publishers Pvt Ltd. 1998.<\/li>\n<\/ul>\n<p><strong>REFERENCES:<\/strong><\/p>\n<ul>\n<li>Bali.N.P and Manish Goyal, \u201cA Textbook of Engineering Mathematics\u201d, 7th Edition, Laxmi Publications Pvt Ltd , 2007.<\/li>\n<li>Ramana.B.V., \u201cHigher Engineering Mathematics\u201d, Tata Mc-GrawHill Publishing Company Limited, New Delhi, 2008.<\/li>\n<li>Glyn James, \u201cAdvanced Modern Engineering Mathematics\u201d, 3rd Edition, Pearson Education, 2007.<\/li>\n<li>Erwin Kreyszig, \u201cAdvanced Engineering Mathematics\u201d, 8th Edition, Wiley India, 2007.<\/li>\n<li>Ray Wylie. C and Barrett.L.C, \u201cAdvanced Engineering Mathematics\u201d Tata Mc Graw Hill Education Pvt Ltd, Sixth Edition, New Delhi, 2012.<\/li>\n<li>Datta.K.B., \u201cMathematical Methods of Science and Engineering\u201d, Cengage Learning India Pvt Ltd, Delhi, 2013.<\/li>\n<\/ul>\n<p>For all other B.Tech BT 3rd sem syllabus go to Anna University <a href=\"http:\/\/www.inspirenignite.com\/anna-university\/anna-university-b-tech-biotechnology-3rd-sem-course-structure-for-r13-batch\/\">B.Tech BIOTECHNOLOGY\u00a03rd Sem Course Structure for (R13) Batch.<\/a>\u00a0All details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.<\/p>\n<p>Do share with friends and in case of questions please feel free drop a comment.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Transforms and Partial Differential Equations Syllabus for B.Tech Third sem is covered here. This gives the details about credits, number of hours and other details along with reference books for [&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":[1],"tags":[],"class_list":["post-3061","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/3061","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/users\/2259"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/comments?post=3061"}],"version-history":[{"count":2,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/3061\/revisions"}],"predecessor-version":[{"id":11621,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/3061\/revisions\/11621"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=3061"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=3061"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=3061"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}