{"id":51303,"date":"2023-03-22T07:34:52","date_gmt":"2023-03-22T07:34:52","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/ma3151-matrices-and-calculus-syllabus-for-mae-2021-regulation\/"},"modified":"2023-03-22T07:34:52","modified_gmt":"2023-03-22T07:34:52","slug":"ma3151-matrices-and-calculus-syllabus-for-mae-2021-regulation","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/ma3151-matrices-and-calculus-syllabus-for-mae-2021-regulation\/","title":{"rendered":"MA3151: Matrices and Calculus syllabus for MAE 2021 regulation"},"content":{"rendered":"

Matrices and Calculus detailed syllabus for Mechanical & Automation Engineering (MAE) for 2021 regulation curriculum has been taken from the Anna University<\/a> official website and presented for the MAE 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

For Mechanical & Automation Engineering 1st Sem scheme and its subjects, do visit MAE 1st Sem 2021 regulation scheme<\/a>. The detailed syllabus of matrices and calculus is as follows. <\/p>\n

Matrices and Calculus<\/title><\/p>\n<h4>Course Objectives:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&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;text-align:center\"><\/a><\/h4>\n<h4>Unit I<\/h4>\n<p> MATRICES Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigenvalues and Eigenvectors – Cayley – Hamilton theorem – Diagonalization of matrices by orthogonal transformation – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms – Applications : Stretching of an elastic membrane.<\/p>\n<h4>Unit II<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&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;text-align:center\"><\/a><\/h4>\n<h4>Unit III<\/h4>\n<p> FUNCTIONS OF SEVERAL VARIABLES Partial differentiation – Homogeneous functions and Eulers theorem – Total derivative – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylors series for functions of two variables – Applications : Maxima and minima of functions of two variables and Lagranges method of undetermined multipliers.<\/p>\n<h4>Unit IV<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&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;text-align:center\"><\/a><\/h4>\n<h4>Unit V<\/h4>\n<p> MULTIPLE INTEGRALS Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – Triple integrals – Volume of solids – Change of variables in double and triple integrals – Applications : Moments and centres of mass, moment of inertia.<\/p>\n<h4>Course Outcomes:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&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;text-align:center\"><\/a><\/h4>\n<h4>Text Books:<\/h4>\n<ol>\n<li>Kreyszig.E, “Advanced Engineering Mathematics”, John Wiley and Sons, 10th Edition, New Delhi, 2016.<\/li>\n<li>Grewal.B.S., Higher Engineering Mathematics, Khanna Publishers, New Delhi, 44th Edition, 2018.<\/li>\n<li>James Stewart, “Calculus : Early Transcendentals”, Cengage Learning, 8th Edition, New Delhi, 2015. [For Units II & IV – Sections 1.1, 2.2, 2.3, 2.5, 2.7 (Tangents problems only), 2.8, 3.1 to 3.6, 3.11, 4.1, 4.3, 5.1 (Area problems only), 5.2, 5.3, 5.4 (excluding net change theorem), 5.5, 7.1 – 7.4 and 7.8 ].<\/li>\n<\/ol>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>Anton. H, Bivens. I and Davis. S, ” Calculus “, Wiley, 10th Edition, 2016<\/li>\n<li>Bali. N., Goyal. M. and Watkins. C., Advanced Engineering Mathematics, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.<\/li>\n<li>Jain. R.K. and Iyengar. S.R.K., Advanced Engineering Mathematics, Narosa Publications, New Delhi, 5th Edition, 2016.<\/li>\n<li>Narayanan. S. and Manicavachagom Pillai. T. K.,Calculus” Volume I and II, S. Viswanathan Publishers Pvt. Ltd., Chennai, 2009.<\/li>\n<li>Ramana. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.<\/li>\n<li>Srimantha Pal and Bhunia. S.C, ” Engineering Mathematics ” Oxford University Press, 2015.<\/li>\n<li>Thomas. G. B., Hass. J, and Weir. M.D, ” Thomas Calculus “, 14th Edition, Pearson India, 2018.<\/li>\n<\/ol>\n<p align=\"justify\">For detailed syllabus of all other subjects of Mechanical & Automation Engineering, 2021 regulation curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/mae+1st-sem\">MAE 1st Sem subject syllabuses for 2021 regulation<\/a>. <\/p>\n<p align=\"justify\">For all Mechanical & Automation Engineering results, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-results\/\">Anna University MAE all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matrices and Calculus detailed syllabus for Mechanical & Automation Engineering (MAE) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the MAE students. […]<\/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":[44,160],"tags":[],"class_list":["post-51303","post","type-post","status-publish","format-standard","hentry","category-1st-sem","category-mae"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/51303","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=51303"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/51303\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=51303"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=51303"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=51303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}