{"id":8921,"date":"2019-12-15T05:31:09","date_gmt":"2019-12-15T05:31:09","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/advanced-calculus-and-numerical-methods-2nd-sem-chemistry-group-syllabus-for-vtu-be-2017-scheme\/"},"modified":"2019-12-15T05:31:09","modified_gmt":"2019-12-15T05:31:09","slug":"advanced-calculus-and-numerical-methods-2nd-sem-chemistry-group-syllabus-for-vtu-be-2017-scheme","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/advanced-calculus-and-numerical-methods-2nd-sem-chemistry-group-syllabus-for-vtu-be-2017-scheme\/","title":{"rendered":"Advanced Calculus and Numerical Methods 2nd Sem (Chemistry Group) Syllabus for VTU BE 2017 Scheme"},"content":{"rendered":"<p>Advanced Calculus and Numerical Methods detail syllabus for Chemistry Group 2017 scheme is selected from <a href=\"https:\/\/vtu.ac.in\/b-e-scheme-syllabus\/\" target=\"_blank\" rel=\"noopener\">VTU<\/a> official website and presented for VTU students. The course code (18MAT21), and for exam duration, Teaching Hr\/week, Practical Hr\/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.<\/p>\n<p>For all other 2nd sem chemistry group syllabus for be 2017 scheme vtu you can visit <a href=\"..\/2nd-sem-chemistry-group-syllabus-for-be-2017-scheme-vtu\">2nd Sem Chemistry Group syllabus for BE 2017 Scheme VTU Subjects<\/a>. The detail syllabus for advanced calculus and numerical methods is as follows.<\/p>\n<p><h4>Course Objectives:<\/h4>\n<p> This course viz., Advanced Calculus and Numerical Methods (18MAT21) aims to prepare the students:<\/p>\n<ul>\n<li>To familiarize the important tools of vector calculus, ordinary\/partial differential equations and power series required to analyze the engineering problems.<\/li>\n<li>To apply the knowledge of interpolation\/extrapolation and numerical integration technique whenever analytical methods fail or very complicated, to offer solutions.<\/li>\n<\/ul>\n<p><h4>Module I<\/h4>\n<p>For complete syllabus and results, class timetable and more pls <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">download iStudy<\/a>. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n<p><h4>Module I<\/h4>\n<p>V<br \/>\nInfinite Series:- Series of positive terms- convergence and divergence. Cauchy&#8217;s root test and D&#8217;Alembert&#8217;s ratio test(without proof)- Illustrative examples.<br \/>\nPower Series solutions:- Series solution of Bessel&#8217;s differential equation leading to Jn(x)- Bessel&#8217;s function of first kind-orthogonality. Series solution of Legendre&#8217;s differential equation leading to Pw\/xJ-Legendre polynomials. Rodrigue&#8217;s formula (without proof), problems.\n<\/p>\n<p><h4>Module V<\/h4>\n<p>Numerical Methods:<br \/>\nFinite differences. Interpolation\/extrapolation using Newton&#8217;s forward and backward difference formulae, Newton&#8217;s divided difference and Lagrange&#8217;s formulae (All formulae without proof). Solution of polynomial and transcendental equations &#8211; Newton-Raphson and Regula-Falsi methods( only formulae)- Illustrative examples.<br \/>\nNumerical integration: Simpson&#8217;s (l\/3)ri and (3\/8)111 rules, Weddle&#8217;s rule (without proof) -Problems.\n<\/p>\n<p><h4>Text Books:<\/h4>\n<p>For complete syllabus and results, class timetable and more pls <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">download iStudy<\/a>. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n<p><h4>Reference Books:<\/h4>\n<ol>\n<li>C.Ray Wylie, Louis C.Barrett: Advanced Engineering Mathematics&#8221;, 6th Edition,<\/li>\n<li>McGraw-Hill Book Co., New York, 1995.<\/li>\n<li>James Stewart: Calculus -Early Transcendentals, Cengage Learning India Private Ltd. ,2017.<\/li>\n<li>B.V.Ramana: &#8220;Higher Engineering Mathematics&#8221; 11th Edition, Tata McGraw-Hill, 2010.<\/li>\n<li>Srimanta Pal &amp; Subobh C Bhunia: Engineering Mathematics, Oxford University Press, 3rd Reprint, 2016.<\/li>\n<li>Gupta C.B., Singh S.R. and Mukesh Kumar: Engineering Mathematics for Semester I &amp; II, Mc-Graw Hill Education (India) Pvt.Ltd.,2015.<\/li>\n<\/ol>\n<p><h4>Web links and Video Lectures:<\/h4>\n<ol>\n<li>http:\/\/nptel.ac.in\/courses.php?disciplineID=l 11<\/li>\n<li>http:\/\/www.class-central.com\/subject\/math(MOOCs)<\/li>\n<li>http:\/\/academicearth.org\/<\/li>\n<li>VTU EDUSAT PROGRAMME-20<\/li>\n<\/ol>\n<p><h4>Course Outcomes:<\/h4>\n<p> On completion of this course, students are able to:<\/p>\n<ol>\n<li>Illustrate the applications of multivariate calculus to understand the solenoidal and irrotational vectors and also exhibit the inter dependence of line, surface and volume integrals.<\/li>\n<li>Demonstrate various physical models through higher order differential equations and solve such linear ordinary differential equations.<\/li>\n<li>Construct a variety of partial differential equations and solution by exact methods\/method of separation of variables.<\/li>\n<li>Explain the applications of infinite series and obtain series solution of ordinary differential equations.<\/li>\n<li>Apply the knowledge of numerical methods in the modeling of various physical and engineering phenomena.<\/li>\n<\/ol>\n<p><h4>Question paper pattern:<\/h4>\n<ul>\n<li>The SEE question paper will be set for 100 marks and the marks scored will be proportionately reduced to 60<\/li>\n<li>The question paper will have ten full questions carrying equal marks.<\/li>\n<li>Each full question carries 20 marks.<\/li>\n<li>There will be two full questions (with a maximum of four sub questions) from each module.<\/li>\n<li>Each full question will have sub questions covering all the topics under a module.<\/li>\n<li>The students will have to answer five full questions, selecting one full question from each module.<\/li>\n<\/li>\n<\/ul>\n<p>For detail syllabus of all other subjects of BE 2nd Sem, 2017 scheme do visit <a href=\"..\/category\/syllabus+2nd-sem\">Chemistry Group 2nd Sem syllabus for 2017 scheme<\/a>.<\/p>\n<p>Dont forget to <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">download iStudy<\/a> for latest syllabus and results, class timetable and more.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Advanced Calculus and Numerical Methods detail syllabus for Chemistry Group 2017 scheme is selected from VTU official website and presented for VTU students. The course code (18MAT21), and for exam [&hellip;]<\/p>\n","protected":false},"author":2298,"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":[3,15],"tags":[],"class_list":["post-8921","post","type-post","status-publish","format-standard","hentry","category-2nd-sem","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/8921","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/users\/2298"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/comments?post=8921"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/8921\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=8921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=8921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=8921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}