{"id":43,"date":"2016-10-30T14:23:30","date_gmt":"2016-10-30T14:23:30","guid":{"rendered":"http:\/\/www.inspirenignite.com\/anna-university\/?p=43"},"modified":"2019-07-17T06:08:13","modified_gmt":"2019-07-17T06:08:13","slug":"anna-university-b-tech-it-r13-1st-sem-mathematics-i-detailed-syllabus","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-b-tech-it-r13-1st-sem-mathematics-i-detailed-syllabus\/","title":{"rendered":"Anna University B.Tech IT (R13) 1st Sem Mathematics \u2013 I Detailed Syllabus"},"content":{"rendered":"<p>Mathematics \u2013 I Detailed Syllabus for B.Tech first 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 Mathematics \u2013 I B.Tech 2016-2017 (R13) fristsem is as follows<\/p>\n<p><strong>OBJECTIVES<\/strong><\/p>\n<ul>\n<li>To develop the use of matrix algebra techniques this is needed by engineers for practical applications.<\/li>\n<li>To make the student knowledgeable in the area of infinite series and their convergence so that he\/ she will be familiar with limitations of using infinite series approximations for solutions arising in mathematical modeling.<\/li>\n<li>To familiarize the student with functions of several variables. This is needed in many branches of engineering.<\/li>\n<li>To introduce the concepts of improper integrals, Gamma, Beta and Error functions which are needed in engineering applications.<\/li>\n<li>To acquaint the student with mathematical tools needed in evaluating multiple integrals and their usage.<\/li>\n<\/ul>\n<p><strong>UNIT I MATRICES\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(9+3 hours)\u00a0<\/strong><\/p>\n<p>Eigenvalues and Eigenvectors of a real matrix \u2013 Characteristic equation \u2013 Properties of eigenvalues and eigenvectors \u2013 Statement and applications of Cayley-Hamilton Theorem \u2013 Diagonalization of matrices \u2013 Reduction of a quadratic form to canonical form by orthogonal transformation \u2013 Nature of quadratic forms.<\/p>\n<p><strong>UNIT II SEQUENCES AND SERIES \u00a0 \u00a0 \u00a0(9+3 hours)\u00a0<\/strong><\/p>\n<p>Sequences: Definition and examples \u2013 Series: Types and Convergence \u2013 Series of positive terms \u2013 Tests of convergence: Comparison test, Integral test and D\u201fAlembert\u201fs ratio test \u2013 Alternating series \u2013 Leibnitz\u201fs test \u2013 Series of positive and negative terms \u2013 Absolute and conditional convergence.<\/p>\n<p><strong>UNIT III APPLICATIONS OF DIFFERENTIAL CALCULUS \u00a0 \u00a0 \u00a0 \u00a0\u00a0(9+3 hours)\u00a0<\/strong><\/p>\n<p>Curvature in Cartesian co-ordinates \u2013 Centre and radius of curvature \u2013 Circle of curvature \u2013 Evolutes \u2013 Envelopes &#8211; Evolute as envelope of normals.<\/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 Android 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.<\/strong><\/a><\/p>\n<p><strong>[TOTAL (L:45+T:15): 60 PERIODS]<\/strong><\/p>\n<p><strong>OUTCOMES:<\/strong><\/p>\n<p>This course equips students to have basic knowledge and understanding in one fields of materials, integral and differential calculus.<\/p>\n<p><strong>TEXT BOOKS:<\/strong><\/p>\n<ul>\n<li>Bali N. P and Manish Goyal, \u201cA Text book of Engineering Mathematics\u201d, Eighth Edition, Laxmi Publications Pvt Ltd., 2011.<\/li>\n<li>Grewal. B.S, \u201cHigher Engineering Mathematics\u201d, 41st Edition, Khanna Publications, Delhi, 2011.<\/li>\n<\/ul>\n<p><strong>REFERENCES:<\/strong><\/p>\n<ul>\n<li>Dass, H.K., and Er. Rajnish Verma,\u201d Higher Engineering Mathematics\u201d, S. Chand Private Ltd., 2011.<\/li>\n<li>Glyn James, \u201cAdvanced Modern Engineering Mathematics\u201d, 3rd Edition, Pearson Education, 2012.<\/li>\n<li>Peter V. O\u201fNeil,\u201d Advanced Engineering Mathematics\u201d, 7th Edition, Cengage learning, (2012).<\/li>\n<li>Ramana B.V, \u201cHigher Engineering Mathematics\u201d, Tata McGraw Hill Publishing Company, New Delhi, 2008.<\/li>\n<li>Sivarama Krishna Das P. and Rukmangadachari E., \u201cEngineering Mathematics\u201d, Volume I, Second Edition, PEARSON Publishing, 2011.<\/li>\n<\/ul>\n<p>For all other B.Tech IT 1st sem syllabus go to <a href=\"http:\/\/www.inspirenignite.com\/anna-university\/anna-university-b-tech-information-technology-1st-sem-course-structure-for-r13-batch\/\">Anna University B.Tech Information Technology (IT) 1st 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>Mathematics \u2013 I Detailed Syllabus for B.Tech first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the [&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-43","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/43","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=43"}],"version-history":[{"count":4,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/43\/revisions"}],"predecessor-version":[{"id":10549,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/43\/revisions\/10549"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=43"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=43"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=43"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}