{"id":305,"date":"2016-07-21T18:27:19","date_gmt":"2016-07-21T18:27:19","guid":{"rendered":"http:\/\/www.inspirenignite.com\/jntuk\/?p=305"},"modified":"2016-08-07T12:14:44","modified_gmt":"2016-08-07T12:14:44","slug":"jntuk-b-tech-complex-variable-and-statistical-methods-for-r13-batch-2","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuk\/jntuk-b-tech-complex-variable-and-statistical-methods-for-r13-batch-2\/","title":{"rendered":"JNTUK B.Tech Complex Variable and Statistical Methods for R13 Batch."},"content":{"rendered":"<p>JNTUk B.Tech Complex Variable and Statistical Methods R13 Syllabus for Engineering it gives you detail information about Complex Variable and Statistical Methods 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 Functions of a complex variable:<\/strong><\/p>\n<p><strong>Introduction<\/strong> \u2013 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.<\/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-II Integration and Series Expansions<\/strong><\/p>\n<p><strong>Complex integration<\/strong>: Line integral \u2013 Cauchy\u2019s integral theorem , Cauchy\u2019s integral formula, Generalized integral formula (all without proofs)- Radius of convergence \u2013 Expansion in Taylor\u2019s series, Maclaurin\u2019s series and Laurent series.<\/p>\n<ul>\n<li>Subject Category<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 III Integration using Residues:<\/strong><\/p>\n<p><strong>Types of Singularities<\/strong>: Isolated, pole of order m, essential &#8211; Residues \u2013 Residue theorem( without proof) &#8211; Evaluation of real integrals of type (a) (b) (c)<\/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 IV Conformal Mapping<\/strong><\/p>\n<p><strong>Transformation by exp z, lnz, z^2, z^n(n positive integer),<\/strong> 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<\/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 V Sampling Distributions:<\/strong><\/p>\n<p><strong>Review of Normal distribution<\/strong> &#8211; Population and samples &#8211; Sampling distribution of mean (with known and unknown variance), proportion, variances &#8211; Sampling distribution of sums and differences -Point and interval estimators for means, variances, proportions.<\/p>\n<ul>\n<li>Subject Category<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 VI Tests of Hypothesis<\/strong><\/p>\n<p><strong>Type I and Type II errors<\/strong> -Maximum error- One tail, two-tail tests &#8211; Tests concerning one mean and proportion, two means- Proportions and their differences using Z-test, Student\u2019s t-test &#8211; F-test and Chi -square test.<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a b d e h k<br \/>\nABET internal assessments 1 2 6 7 10<br \/>\nJNTUK External Evaluation A B E F D<\/li>\n<\/ul>\n<p><strong>Books<\/strong><\/p>\n<ul>\n<li>Advanced Engineering Mathematics: Erwin Kreyszig, Wiley India Edition.<\/li>\n<li>Advanced Engineering Mathematics: Michael Greenberg, Pearson.<\/li>\n<li>Advanced Engineering Mathematics: BS Grewal , Khanna Publishers (42nd Ed).<\/li>\n<li>Probability and Statistics for Engineers: Miller and John E. Freund, Prentice Hall of India.<\/li>\n<li>Probability and Statistics for Engineers and Scientists: Ronald E. Walpole, Sharon L. Mayers and Keying Ye: Pearson.<\/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 Variable and Statistical Methods R13 Syllabus for Engineering it gives you detail information about Complex Variable and Statistical Methods syllabus. UNIT-I Functions of a complex variable: Introduction [&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-305","post","type-post","status-publish","format-standard","hentry","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/305","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=305"}],"version-history":[{"count":3,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/305\/revisions"}],"predecessor-version":[{"id":437,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/305\/revisions\/437"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/media?parent=305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/categories?post=305"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/tags?post=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}