{"id":964,"date":"2016-07-29T12:34:41","date_gmt":"2016-07-29T12:34:41","guid":{"rendered":"http:\/\/www.inspirenignite.com\/jntuk\/?p=964"},"modified":"2016-07-29T12:39:11","modified_gmt":"2016-07-29T12:39:11","slug":"jntuk-b-tech-complex-varibles-for-r13-batch","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuk\/jntuk-b-tech-complex-varibles-for-r13-batch\/","title":{"rendered":"JNTUK B.Tech Complex Varibles for R13 Batch."},"content":{"rendered":"<p>JNTUK B.Tech Complex Varibles gives you detail information of Complex Varibles R13 syllabus It will be help full to understand you complete curriculum of the year.<\/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 &#8211; I :\u00a0Functions of a complex variable:<\/strong> Introduction -Continuity \u2013 Differentiability \u2013 Analyticity \u2013 Properties \u2013 Cauchy-Riemann equations in Cartesian and polar coordinates. Harmonic and conjugate harmonic functions \u2013 Milne \u2013 Thompson method<br \/>\n<strong>Applications:<\/strong> Potential between parallel plates, coaxial cylinders, potential in angular regions<\/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 &#8211; II :\u00a0Elementary functions:<\/strong> Exponential, trigonometric, hyperbolic functions and their properties \u2013 General power Z (c is complex), principal value.<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e<br \/>\nABET internal assessments 1 6<br \/>\nJNTUK External Evaluation A B<\/li>\n<\/ul>\n<p><strong>UNIT &#8211; III :\u00a0Complex integration:\u00a0<\/strong>Line integral \u2013 Cauchy\u2019s integral theorem \u2013 Cauchy\u2019s integral formula \u2013 Generalized integral formula -Liouville Theorem &#8211; Morera\u2019s Theorem<br \/>\n<strong>Applications<\/strong>: Circulation along closed curve, conservative fields<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e k<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT &#8211; IV :\u00a0Power series:<\/strong> Radius of convergence \u2013 Taylor\u2019s series,-Maclaurin\u2019s series -Laurent series- Singular point \u2013 Isolated singular point \u2013 pole of order m \u2013 essential singularity.<\/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 &#8211; V :\u00a0Residue theorem<\/strong> and applications\u00a0Residue- Residue theorem<br \/>\nApplications: Evaluation of integrals of the type<\/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 &#8211; VI :\u00a0Conformal mapping:<\/strong> Transformation by exp z, ln z, z2, z ^n (n positive integer), Sin z, cos z, z + a\/z. Translation, rotation, inversion and bilinear transformation \u2013 fixed point \u2013 cross ratio \u2013 properties \u2013 invariance of circles<br \/>\nApplication: Potential between Noncoaxial cylinders, Flow around a corner<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a e k<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>Text Books<\/strong><\/p>\n<ul>\n<li>Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, Wiley 2011.<\/li>\n<li>Michael Greenberg, Advanced Engineering Mathematics, International Edition, Pearson, 1998.<\/li>\n<li>Grewal, B. S., Higher Engineering Mathematics, Khanna Publishers, 2012.<\/li>\n<\/ul>\n<p><strong>Reference Books<\/strong><\/p>\n<ul>\n<li>John H. Mathews, Russell W. Howell, Complex Analysis for Mathematics and Engineering, 5th Edition, Jones and Bartlett Publishers, 2006.<\/li>\n<li>Saff, E. B and A. D. Snider, Fundamentals of Complex Analysis, 3rd Edition, Pearson, 2003.<\/li>\n<li>Dennis G. Zill and Patrick Shanahan, A First course in Complex Analysis with Application, Jones and Bartlett Publishers, 2011.<\/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 Complex Varibles gives you detail information of Complex Varibles R13 syllabus It will be help full to understand you complete curriculum of the year. UNIT &#8211; I :\u00a0Functions [&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-964","post","type-post","status-publish","format-standard","hentry","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/964","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=964"}],"version-history":[{"count":3,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/964\/revisions"}],"predecessor-version":[{"id":968,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/964\/revisions\/968"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/media?parent=964"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/categories?post=964"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/tags?post=964"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}