{"id":283,"date":"2016-07-21T16:12:28","date_gmt":"2016-07-21T16:12:28","guid":{"rendered":"http:\/\/www.inspirenignite.com\/jntuk\/?p=283"},"modified":"2016-08-07T12:13:36","modified_gmt":"2016-08-07T12:13:36","slug":"jntuk-b-tech-mathematics-i-differential-equations-for-r13-batch","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuk\/jntuk-b-tech-mathematics-i-differential-equations-for-r13-batch\/","title":{"rendered":"JNTUK B.Tech Mathematics &#8211; I (Differential Equations) for R13 Batch"},"content":{"rendered":"<p>JNTUK B.Tech \u00a0Mathematics &#8211; I (Differential Equations) \u00a0Syllabus for Engineering R13 gives you detail information about Mathematics &#8211; I (Differential Equations) subject.<\/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<\/strong>: Differential equations of first order and first degree:<br \/>\nLinear-Bernoulli-Exact-Reducible to exact.<\/p>\n<p><strong>Applications<\/strong> : Newton\u2019s Law of cooling-Law of natural growth and decay- orthogonal trajectories.<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a d e<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT II<\/strong>: Linear differential equations of higher order:<\/p>\n<p>Non-homogeneous equations of higher order with constant coefficients with RHS term of the type e ax<\/p>\n<p>Applications: LCR circuit, Simple Harmonic motion in x, e V(x), xV(x)<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><br \/>\nABET Learning Objectives a d e<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT III :\u00a0<\/strong> Laplace transforms:<\/p>\n<p>Laplace transforms of standard functions-ShiftingTheorems, Transforms of derivatives and integrals \u2013 Unit step function \u2013Dirac\u2019s delta function- Inverse Laplace transforms\u2013 Convolution theorem (with out proof).<\/p>\n<p><strong>Application<\/strong>: Solutions of ordinary differential equations using Laplace transforms.<\/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<\/strong>\u00a0: Partial differentiation:<\/p>\n<p>Introduction- Total derivative-Chain rule-Generalized Mean Value theorem for single variable (without proof)-Taylors and Mc Laurent\u2019s series for two variables\u2013 Functional dependence- Jacobian.<\/p>\n<p><strong>Applications:<\/strong> Maxima and Minima of functions of two variables with constraints and without constraints.<\/p>\n<ul>\n<li><strong>Subject Category<\/strong><\/li>\n<li>ABET Learning Objectives a c e<br \/>\nABET internal assessments 1 2 6<br \/>\nJNTUK External Evaluation A B E<\/li>\n<\/ul>\n<p><strong>UNIT V<\/strong>\u00a0 : First order Partial differential equations:<\/p>\n<p>Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions \u2013solutions of first order linear (Lagrange) equation and nonlinear (standard type) equations<\/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<\/strong>\u00a0 : Higher order Partial differential equations:<\/p>\n<p>Solutions of Linear Partial differential equations with constant coefficients- Method of separation of Variables.<\/p>\n<p><strong>Applications<\/strong>: One- dimensional Wave, Heat equations &#8211; two-dimensional Laplace Equation.<\/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 B E<\/li>\n<\/ul>\n<p><strong>Books<\/strong><\/p>\n<ul>\n<li>B.S.GREWAL, Higher Engineering Mathematics, 42nd Edition, Khanna Publishers.<\/li>\n<li>ERWIN KREYSZIG, Advanced Engineering Mathematics, 9th Edition, Wiley-India.<\/li>\n<li>GREENBERG, Advanced Engineering Mathematics, 2nd edition, Pearson edn.<\/li>\n<li>DEAN G. DUFFY, Advanced engineering mathematics with MATLAB, CRC Press.<\/li>\n<\/ul>\n<p><strong>PETER O\u2019NEIL, advanced Engineering Mathematics, Cengage Learning.<\/strong><\/p>\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 &#8211; I (Differential Equations) \u00a0Syllabus for Engineering R13 gives you detail information about Mathematics &#8211; I (Differential Equations) subject. UNIT I: Differential equations of first order and [&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-283","post","type-post","status-publish","format-standard","hentry","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/283","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=283"}],"version-history":[{"count":4,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/283\/revisions"}],"predecessor-version":[{"id":431,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/posts\/283\/revisions\/431"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/media?parent=283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/categories?post=283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuk\/wp-json\/wp\/v2\/tags?post=283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}