{"id":297,"date":"2016-07-21T18:02:34","date_gmt":"2016-07-21T18:02:34","guid":{"rendered":"http:\/\/www.inspirenignite.com\/jntuk\/?p=297"},"modified":"2016-08-07T12:14:35","modified_gmt":"2016-08-07T12:14:35","slug":"jntuk-b-tech-mathematics-iii-linear-algebra-vector-calculus-for-r13-batch","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuk\/jntuk-b-tech-mathematics-iii-linear-algebra-vector-calculus-for-r13-batch\/","title":{"rendered":"JNTUK B.Tech Mathematics \u2013 III (Linear Algebra &amp; Vector Calculus) for R13 Batch"},"content":{"rendered":"<p>JNTUk B.Tech \u00a0Mathematics \u2013 III (Linear Algebra &amp; Vector Calculus) \u00a0R13 Syllabus for Engineering it gives you detail information about Mathematics \u2013 III (Linear Algebra &amp; Vector Calculus) syllabus.<\/p><div class=\"a9916ad81d5189659b0bfae0b37c143c\" data-index=\"1\" style=\"float: none; margin:10px 0 10px 0; text-align:center;\">\n<ins class=\"adsbygoogle\"\r\n     style=\"display:block; text-align:center;\"\r\n     data-ad-layout=\"in-article\"\r\n     data-ad-format=\"fluid\"\r\n     data-ad-client=\"ca-pub-1181153414625576\"\r\n     data-ad-slot=\"9648548092\"><\/ins>\r\n<script>\r\n     (adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n<\/div>\n\n<p><strong>UNIT I Linear systems of equations:<\/strong><\/p>\n<p>Rank-Echelon form, Normal form \u2013 Solution of Linear Systems \u2013 Direct Methods- Gauss Elimination &#8211; Gauss Jordon and Gauss Seidal Methods.<\/p>\n<p><strong>Application<\/strong>: Finding the current in a electrical circuit.<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e k<br \/>\nABET internal assessments 1 2 6 4<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT II Eigen values &#8211; Eigen vectors and Quadratic forms:<\/strong><\/p>\n<p>Eigen values &#8211; Eigen vectors\u2013 Properties \u2013 Cayley-Hamilton Theorem &#8211; Inverse and powers of a matrix by using Cayley-Hamilton theorem- Quadratic forms- Reduction of quadratic form to canonical form \u2013 Rank &#8211; Positive, negative definite &#8211; semi definite &#8211; index \u2013 signature.<\/p>\n<p><strong>Application<\/strong>: Free vibration of a two-mass system.<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a d e k<br \/>\nABET internal assessments 1 2 4 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT III Multiple integrals:<\/strong><\/p>\n<p>Review concepts of Curve tracing (Cartesian &#8211; Polar and Parametric curves)- Applications of Integration to Lengths, Volumes and Surface areas of revolution in Cartesian and Polar Coordinates. Multiple integrals &#8211; double and triple integrals \u2013 change of variables \u2013 Change of order of Integration<\/p>\n<p><strong>Application:<\/strong> Moments of inertia<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e d<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT IV Special functions:<\/strong><\/p>\n<p>Beta and Gamma functions- Properties &#8211; Relation between Beta and Gamma functions- Evaluation of improper integrals.<\/p>\n<p><strong>Application:<\/strong> Evaluation of integrals<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT V Vector Differentiation:<\/strong><\/p>\n<p>Gradient- Divergence- Curl &#8211; Laplacian and second order operators -Vector identities.<\/p>\n<p><strong>Application:<\/strong> Equation of continuity, potential surfaces<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT VI Vector Integration:<\/strong><\/p>\n<p>Line integral \u2013 work done \u2013 Potential function \u2013 area- surface and volume integrals Vector integral theorems: Greens, Stokes and Gauss Divergence Theorems (Without proof) and related problems.<\/p>\n<p><strong>Application<\/strong> : work done, Force<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>BOOKS<\/strong><\/p>\n<ul>\n<li>GREENBERG, Advanced Engineering Mathematics, 9th Edition, Wiley-India.<\/li>\n<li>B.V. RAMANA, Higher Engineering Mathematics, Tata Mc Grawhill.<\/li>\n<li>ERWIN KREYSZIG, Advanced Engineering Mathematics, 9th Edition, Wiley-India.<\/li>\n<li>PETER O\u2019NEIL, Advanced Engineering Mathematics, Cengage Learning.<\/li>\n<li>D.W. JORDAN AND T. SMITH, Mathematical Techniques, Oxford University Press.<\/li>\n<\/ul>\n<table>\n<tbody>\n<tr>\n<th>Subject Category<\/th>\n<th>ABET Learning Objectives<\/th>\n<th>ABET Internal Assessments<\/th>\n<th>JNTUK External Evalution<\/th>\n<th>Remarks<\/th>\n<\/tr>\n<tr>\n<td>Theory Design Analysis Algorithms Drawing Others<\/td>\n<td>a) Apply knowledge of math, science, &amp; engineering<\/td>\n<td>1. Objective tests<\/td>\n<td>A. Questions should have:<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>b) Design &amp; conduct experiments, analyze &amp; interpret data<\/td>\n<td>2. Essay questions tests<\/td>\n<td>B. Definitions, Principle of operation or philosopy of concept. Mathematical<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>c) Design a system\/process to meet desired needs within economic, social, political, ethical, health\/safety, manufacturability, &amp; sustainability constraints<\/td>\n<td>3. Peer tutoring based<\/td>\n<td>C. treatment, derivations, analysis, synthesis, numerical problems with inference. Design oriented problems<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>d) Function on multidisciplinary teams<\/td>\n<td>4. Simulation based<\/td>\n<td>D. Trouble shooting type of<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>e) Identify, formulate, &amp; solve engineering problems<\/td>\n<td>5. Design oriented<\/td>\n<td>E. Questions Applications related questions<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>f) Understand professional &amp; ethical responsibilities<\/td>\n<td>6. Problems based<\/td>\n<td>F. Brain storming questions<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>g) Communicate effectively<\/td>\n<td>7. Experiential (project based) based<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>h) Understand impact of engineering solutions in global, economic, environmental, &amp; societal context<\/td>\n<td>8. Lab work or field work based<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>i) Recognize need for &amp; be able to engage in lifelong learning<\/td>\n<td>9. Presentation based<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>j) Know contemporary issues<\/td>\n<td>10. Case Studies based<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>k)Use techniques, skills, modern tools for engineering practices<\/td>\n<td>11. Role- Play based<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<td>12. Portfolio based<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>For more information about all JNTU updates please stay connected to us on FB and don\u2019t hesitate to ask any questions in the comment.<\/p>\n<div class=\"a9916ad81d5189659b0bfae0b37c143c\" data-index=\"2\" style=\"float: none; margin:10px 0 10px 0; text-align:center;\">\n<ins class=\"adsbygoogle\"\r\n     style=\"display:block; text-align:center;\"\r\n     data-ad-layout=\"in-article\"\r\n     data-ad-format=\"fluid\"\r\n     data-ad-client=\"ca-pub-1181153414625576\"\r\n     data-ad-slot=\"8060844699\"><\/ins>\r\n<script>\r\n     (adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n<\/div>\n\n<div style=\"font-size: 0px; height: 0px; line-height: 0px; margin: 0; padding: 0; clear: both;\"><\/div>","protected":false},"excerpt":{"rendered":"<p>JNTUk B.Tech \u00a0Mathematics \u2013 III (Linear Algebra &amp; Vector Calculus) \u00a0R13 Syllabus for Engineering it gives you detail information about Mathematics \u2013 III (Linear Algebra &amp; Vector Calculus) syllabus. UNIT [&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":[2],"tags":[],"class_list":["post-297","post","type-post","status-publish","format-standard","hentry","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/297","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/users\/2259"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/comments?post=297"}],"version-history":[{"count":3,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/297\/revisions"}],"predecessor-version":[{"id":597,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/297\/revisions\/597"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/media?parent=297"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/categories?post=297"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/tags?post=297"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}