{"id":80,"date":"2016-10-30T19:31:10","date_gmt":"2016-10-30T19:31:10","guid":{"rendered":"http:\/\/www.inspirenignite.com\/anna-university\/?p=80"},"modified":"2019-07-17T06:19:08","modified_gmt":"2019-07-17T06:19:08","slug":"anna-university-b-tech-it-r13-3rd-sem-transforms-and-partial-differential-equations-detailed-syllabus","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-b-tech-it-r13-3rd-sem-transforms-and-partial-differential-equations-detailed-syllabus\/","title":{"rendered":"Anna University B.Tech IT (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 &#8212; Solutions of standard types of first order partial differential equations &#8211; Lagrange\u201fs linear equation &#8212; 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 style=\"text-align: center\"><strong><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">Download iStudy<\/a> <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">Android<\/a><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\"> App 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.<\/a><\/strong><\/p>\n<p><strong>UNIT V Z &#8211; TRANSFORMS AND DIFFERENCE EQUATIONS \u00a0 \u00a0 (9+3 \u00a0hours \u00a0Z- )<\/strong><br \/>\ntransforms &#8211; Elementary properties \u2013 Inverse Z &#8211; transform (using partial fraction and residues) \u2013 Convolution theorem &#8211; Formation of difference equations \u2013 Solution of difference equations using Z &#8211; transform.<\/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., &#8220;Transforms and Partial Differential Equations&#8221;, Second reprint, Tata McGraw Hill Education Pvt. Ltd., New Delhi, 2012.<\/li>\n<li>Grewal. B.S., &#8220;Higher Engineering Mathematics&#8221;, 42nd Edition, Khanna Publishers, Delhi, 2012.<\/li>\n<li>Narayanan.S., Manicavachagom Pillay.T.K and Ramanaiah.G &#8220;Advanced Mathematics for Engineering Students&#8221; 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, &#8220;A Textbook of Engineering Mathematics&#8221;, 7th Edition, Laxmi Publications Pvt Ltd , 2007.<\/li>\n<li>Ramana.B.V., &#8220;Higher Engineering Mathematics&#8221;, Tata Mc-GrawHill Publishing Company Limited, New Delhi, 2008.<\/li>\n<li>Glyn James, &#8220;Advanced Modern Engineering Mathematics&#8221;, 3rd Edition, Pearson Education, 2007.<\/li>\n<li>Erwin Kreyszig, &#8220;Advanced Engineering Mathematics&#8221;, 8th Edition, Wiley India, 2007.<\/li>\n<li>Ray Wylie. C and Barrett.L.C, &#8220;Advanced Engineering Mathematics&#8221; Tata Mc Graw Hill Education Pvt Ltd, Sixth Edition, New Delhi, 2012.<\/li>\n<li>Datta.K.B., &#8220;Mathematical Methods of Science and Engineering&#8221;, Cengage Learning India Pvt Ltd, Delhi, 2013.<\/li>\n<\/ul>\n<p>For all other B.Tech IT 3rd sem syllabus go to <a href=\"http:\/\/www.inspirenignite.com\/anna-university\/anna-university-b-tech-information-technology-3rd-sem-course-structure-for-r13-batch\/\">Anna University B.Tech Information Technology (IT) 3rd Sem Course Structure for (R13) Batch.<\/a> All 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-80","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/80","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=80"}],"version-history":[{"count":4,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/80\/revisions"}],"predecessor-version":[{"id":10566,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/80\/revisions\/10566"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=80"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=80"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=80"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}