{"id":33995,"date":"2021-05-22T11:23:56","date_gmt":"2021-05-22T11:23:56","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/ma5158-engineering-mathematics-i-syllabus-for-mse-1st-sem-2019-regulation-anna-university\/"},"modified":"2021-05-22T11:23:56","modified_gmt":"2021-05-22T11:23:56","slug":"ma5158-engineering-mathematics-i-syllabus-for-mse-1st-sem-2019-regulation-anna-university","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/ma5158-engineering-mathematics-i-syllabus-for-mse-1st-sem-2019-regulation-anna-university\/","title":{"rendered":"MA5158: Engineering Mathematics &#8211; I Syllabus for MSE 1st Sem 2019 Regulation Anna University"},"content":{"rendered":"<p align=\"justify\">Engineering Mathematics &#8211; I detailed syllabus for Materials Science &amp; Engineering (MSE) for 2019 regulation curriculum has been taken from the <a class=\"rank-math-link\" href=\"https:\/\/cac.annauniv.edu\/\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Anna Universities<\/a> official website and presented for the MSE students. For course code, course name, number of credits for a course and other scheme related information,  do visit full semester subjects post given below. <\/p>\n<p align=\"justify\">For Materials Science &amp; Engineering 1st Sem scheme and its subjects, do visit <a class=\"rank-math-link\" href=\"..\/materials-science-engineering-mse-syllabus-for-1st-sem-2019-regulation-anna-university\">MSE 1st Sem 2019 regulation scheme<\/a>. The detailed syllabus of engineering mathematics &#8211; i is as follows. <\/p>\n<p>  <title>Engineering Mathematics &#8211; I<\/title><\/p>\n<h4>Course Objective:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a class=\"rank-math-link\" 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 class=\"rank-math-link\" 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 I<\/h4>\n<p align=\"justify\">\n  <strong>Matrices<\/strong><br \/>\n  Eigenvalues and Eigenvectors of a real matrix &#8211; Characteristic equation &#8211; Properties of eigenvalues and eigenvectors &#8211; Cayley-Hamilton theorem &#8211; Diagonalization of matrices &#8211; Reduction of a quadratic form to canonical form by orthogonal transformation &#8211; Nature of quadratic forms.\n<\/p>\n<h4>Unit II<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a class=\"rank-math-link\" 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 class=\"rank-math-link\" 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 III<\/h4>\n<p align=\"justify\">\n  <strong>Functions of Several Variables<\/strong><br \/>\n  Partial derivatives &#8211; Homogeneous functions and Euler&#8221;s theorem &#8211; Total derivative &#8211; Differentiation of implicit functions &#8211; Change of variables &#8211; Jacobians &#8211; Partial differentiation of implicit functions -Taylor&#8221;s series for functions of two variables &#8211; Errors and approximations &#8211; Maxima and minima of functions of two variables &#8211; Lagrange&#8221;s method of undetermined multipliers.\n<\/p>\n<h4>Unit IV<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a class=\"rank-math-link\" 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 class=\"rank-math-link\" 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 V<\/h4>\n<p align=\"justify\">\n  <strong>Multiple Integrals<\/strong><br \/>\n  Double integrals &#8211; Change of order of integration &#8211; Double integrals in polar coordinates &#8211; Area enclosed by plane curves &#8211; Triple integrals &#8211; Volume of solids &#8211; Change of variables in double and triple integrals.\n<\/p>\n<h4>Course Outcome:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a class=\"rank-math-link\" 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 class=\"rank-math-link\" 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<p align=\"justify\">\n<ol>\n<li>Grewal B.S., &#8220;Higher Engineering Mathematics&#8221;, Khanna Publishers, 44th Edition, New Delhi, 2017.<\/li>\n<li>James Stewart, &#8220;Calculus with Early Transcendental Functions&#8221;, Cengage Learning, 6th Edition, New Delhi,2013.<\/li>\n<li>Joel Hass, Christopher Heil and Maurice D.Weir, &#8220;Thomas Calculus&#8221;, Pearson, 14th Edition, New Delhi, 2018.<\/li>\n<li>Narayanan S. and Manicavachagom Pillai T. K., &#8220;Calculus&#8221; Volume I and II, S. Viswanathan Publishers Pvt. Ltd., Chennai, 2009.<\/li>\n<\/ol>\n<h4>References:<\/h4>\n<p align=\"justify\">\n<ol>\n<li>Bali N., Goyal M. and Watkins C., &#8220;Advanced Engineering Mathematics&#8221;, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), 7th Edition, New Delhi, 2009.<\/li>\n<li>Erwin Kreyszig, &#8220;Advanced Engineering Mathematics&#8221;, John Wiley and Sons, 10th Edition, New Delhi, 2015.<\/li>\n<li>Greenberg M.D., &#8220;Advanced Engineering Mathematics&#8221;, Pearson Education2nd Edition, 5th Reprint, Delhi, 2009.<\/li>\n<li>Jain R.K. and Iyengar S.R.K., &#8220;Advanced Engineering Mathematics&#8221;,Narosa Publications, 5th Edition, New Delhi, 2017.<\/li>\n<li>Peter V.O&#8221;Neil, &#8220;Advanced Engineering Mathematics&#8221;, Cengage Learning India Pvt., Ltd, 7th Edition, New Delhi , 2012.<\/li>\n<li>Ramana B.V., &#8220;Higher Engineering Mathematics&#8221;, Tata McGraw Hill Co. Ltd., 11th Reprint, New Delhi, 2010.<\/li>\n<\/ol>\n<p align=\"justify\">For detailed syllabus of all other subjects of Materials Science &amp; Engineering, 2019 regulation curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/mse+1st-sem\">MSE 1st Sem subject syllabuses for 2019 regulation<\/a>. <\/p>\n<p align=\"justify\">For all Materials Science &amp; Engineering results, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-results\/\">Anna University MSE all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Engineering Mathematics &#8211; I detailed syllabus for Materials Science &amp; Engineering (MSE) for 2019 regulation curriculum has been taken from the Anna Universities official website and presented for the MSE [&hellip;]<\/p>\n","protected":false},"author":2297,"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":[44,58],"tags":[],"class_list":["post-33995","post","type-post","status-publish","format-standard","hentry","category-1st-sem","category-materials"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/33995","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\/2297"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/comments?post=33995"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/33995\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=33995"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=33995"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=33995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}