{"id":7305,"date":"2019-12-14T16:53:15","date_gmt":"2019-12-14T16:53:15","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/engineering-mathematics-iv-petro-4th-sem-syllabus-for-vtu-be-2017-scheme\/"},"modified":"2019-12-14T16:53:15","modified_gmt":"2019-12-14T16:53:15","slug":"engineering-mathematics-iv-petro-4th-sem-syllabus-for-vtu-be-2017-scheme","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/engineering-mathematics-iv-petro-4th-sem-syllabus-for-vtu-be-2017-scheme\/","title":{"rendered":"Engineering Mathematics-IV Petro 4th Sem Syllabus for VTU BE 2017 Scheme"},"content":{"rendered":"<p>Engineering Mathematics-IV detail syllabus for Petroleum Engineering (Petro), 2017 scheme is taken 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 (17MAT41), 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 petro 4th sem syllabus for be 2017 scheme vtu you can visit <a href=\"..\/petro-4th-sem-syllabus-for-be-2017-scheme-vtu\">Petro 4th Sem syllabus for BE 2017 Scheme VTU Subjects<\/a>. The detail syllabus for engineering mathematics-iv is as follows.<\/p>\n<p><h4>Course Objectives:<\/h4>\n<p>The objective is to provide students with mathematics fundamental, necessary to formulate, solve and analyze engineering problems by making them to learn the following topics<\/p>\n<ul>\n<li>Numerical methods to solve ordinary differential equations<\/li>\n<li>Finite difference method to solve partial differential equations<\/li>\n<li>Complex analysis<\/li>\n<li>Sampling theory<\/li>\n<li>Joint probability distribution and stochastic process<\/li>\n<\/ul>\n<p><h4>Module 1<br \/>\nFor 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 2<br \/>\n<\/h4>\n<p>Numerical Methods: Numerical solution of second order ordinary differential equations, Picard&#8217;s method, Runge-Kutta method and Milne&#8217;s method<br \/>\nSpecial Functions: Bessel&#8217;s functions- basic properties, recurrence relations, orthogonality and generating functions. Legendre&#8217;s functions &#8211; Legendre&#8217;s polynomial, Rodrigue&#8217;s formula, problems.\n<\/p>\n<p><h4>Module 3<br \/>\n<\/h4>\n<p>Complex Variables: Function of a complex variable, limits, continuity, differentiability, Analytic Functions-Cauchy-Riemann equations in Cartesian and polar forms. Properties and construction of analytic functions. Complex line Integrals-Cauchy&#8217;s theorem and Cauchy&#8217;s integral formula, Residue, poles, Cauchy&#8217;s Residue theorem with proof and problems.<br \/>\nTransformations:\tConformal\ttransformations,\tdiscussion\tof transformations and bilinear transformations.\n<\/p>\n<p><h4>Module 4<br \/>\nFor 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 5<br \/>\n<\/h4>\n<p>Sampling Theory: Sampling, Sampling distributions, standard error, test of hypothesis for means and proportions, confidence limits for means, student&#8217;s t-distribution, Chi-square distribution as a test of goodness of fit.<br \/>\nStochastic process<br \/>\nStochastic process, probability vector, stochastic matrices, fixed points, regular stochastic matrices, Markov chains, higher transition probability.\n<\/p>\n<p><h4>Course Outcomes:<\/h4>\n<p>At the end of the course student will be able to:<\/p>\n<ol>\n<li>Use appropriate numerical methods to solve first and second order ordinary differential equations.<\/li>\n<li>Use Bessel&#8217;s and Legendre&#8217;s function which often arises when a problem possesses axial and spherical symmetry, such as in quantum mechanics, electromagnetic theory, hydrodynamics and heat conduction.<\/li>\n<li>State and prove Cauchy&#8217;s theorem and its consequences including Cauchy&#8217;s integral formula, compute residues and apply the residue theorem to evaluate integrals.<\/li>\n<li>Analyze, interpret, and evaluate scientific hypotheses and theories using rigorous statistical methods.<\/li>\n<\/ol>\n<p><h4>Text Books:<\/h4>\n<ol>\n<li>B.V. Ramana &#8220;Higher Engineering Mathematics&#8221; Tata Mc Graw-Hill, 2006<\/li>\n<li>B.S. Grewal &#8211; Higher Engineering Mathematics, Khanna Publishers, 42nd Edition, 2013.<\/li>\n<\/ol>\n<p><h4>Reference Books:<\/h4>\n<ol>\n<li>N P. Bali and Manish Goyal, &#8220;A text book of Engineering mathematics, Laxmi publications, latest edition.<\/li>\n<li>Kreyszig, Advanced Engineering Mathematics &#8211; 9th edition, Wiley, 2013.<\/li>\n<li>H. K Dass and Rajnish Verma,&#8221;Higher Engineering Mathematics&#8221;, S. Chand publishing, 1st edition, 2011.<\/li>\n<\/li>\n<\/ol>\n<p>For detail syllabus of all other subjects of BE Petro, 2017 scheme do visit <a href=\"..\/category\/petro+4th-sem\">Petro 4th 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>Engineering Mathematics-IV detail syllabus for Petroleum Engineering (Petro), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17MAT41), and for exam duration, Teaching [&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":[5,45],"tags":[],"class_list":["post-7305","post","type-post","status-publish","format-standard","hentry","category-4th-sem","category-petro"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/7305","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=7305"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/7305\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=7305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=7305"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=7305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}