{"id":7792,"date":"2019-12-15T03:28:03","date_gmt":"2019-12-15T03:28:03","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/numerical-methods-aero-7th-sem-syllabus-for-vtu-be-2017-scheme-professional-elective-4\/"},"modified":"2019-12-15T03:28:03","modified_gmt":"2019-12-15T03:28:03","slug":"numerical-methods-aero-7th-sem-syllabus-for-vtu-be-2017-scheme-professional-elective-4","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/numerical-methods-aero-7th-sem-syllabus-for-vtu-be-2017-scheme-professional-elective-4\/","title":{"rendered":"Numerical Methods Aero 7th Sem Syllabus for VTU BE 2017 Scheme (Professional Elective-4)"},"content":{"rendered":"<p>Numerical Methods detail syllabus for Aeronautical Engineering (Aero), 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 (17AE753), 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 aero 7th sem syllabus for be 2017 scheme vtu you can visit <a href=\"..\/aero-7th-sem-syllabus-for-be-2017-scheme-vtu\">Aero 7th Sem syllabus for BE 2017 Scheme VTU Subjects<\/a>. For all other Professional Elective-4 subjects do refer to <a href=\"..\/professional-elective-4-aero-7th-sem-syllabus-for-vtu-be-2017-scheme\">Professional Elective-4<\/a>. The detail syllabus for numerical methods is as follows.<\/p>\n<p><h4>Course Objectives:<\/h4>\n<p> This course will enable students to<\/p>\n<ol>\n<li>Comprehend the basic concepts of numerical methods.<\/li>\n<li>Acquire the knowledge of interpolation and approximation.<\/li>\n<li>Understand about the curve fitting, root finding and optimization.<\/li>\n<\/ol>\n<p><h4>Module 1 <\/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 2 <\/h4>\n<p>Interpolation and Approximation Lagrangian Polynomials &#8211; Divided differences Interpolating with a cubic spline &#8211; Newton&#8217;s forward and backward difference formulas. Eigen Values and Eigenvectors Motivation and Objectives\/ The characteristics Polynominal\/ Power Methods \/ Jacobi&#8217;s Method\/ Householder Transformation\/ QR Method\/ Danilevsky&#8217;s Method\/ Polynominal Roots.\t<\/p>\n<p><h4>Module 3 <\/h4>\n<p>Numerical Differentiation and Integration Derivative from difference tables &#8211; Divided differences and finite differences &#8211; Numerical integration by trapezoidal and Simpson&#8217;s 1\/3 and 3\/8 rules &#8211; Two and Three point Gaussian quadrature formulas -Double integrals using trapezoidal and Simpson&#8217;s rules.\t<\/p>\n<p><h4>Module 4 <\/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 5 <\/h4>\n<p>Root Finding Motivation and Objectives\/ Bracketing methods\/ Contraction Mapping Method\/ Secant Method\/ Muller&#8217;s Method\/ Newton&#8217;s Method\/ Polynomial Roots\/ Nonlinear Systems of Equations. Optimization Motivation and Objectives\/ Local and Global Minima\/ Line Searches\/ Steepest Descent Method\/ Conjugate-Gradient Method\/ Quasi-Newton Methods\/ Penalty Functions\/ Simulated Annealing.\t<\/p>\n<p><h4>Course Outcomes:<\/h4>\n<p> After studying this course, students will be able to:<\/p>\n<ol>\n<li>Apply the basic concepts of numerical methods.<\/li>\n<li>Compute the Eigen values, Eigen vectors, numerical differentiation and integration.<\/li>\n<li>Perform the curve fitting and root finding.<\/li>\n<\/ol>\n<p><h4>Graduate Attributes (as per NBA):<\/h4>\n<ul>\n<li>Engineering Knowledge.<\/li>\n<li>Problem Analysis.<\/li>\n<li>Design \/ development of solutions<\/li>\n<li>Interpretation of data<\/li>\n<\/ul>\n<p><h4>Question paper pattern:<\/h4>\n<ul>\n<li>The question paper will have ten questions.<\/li>\n<li>Each full question consists of 16 marks.<\/li>\n<li>There will be 2full 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 5 full questions, selecting one full question from each module.<\/li>\n<\/ul>\n<p><h4>Text Books:<\/h4>\n<ol>\n<li>Robert Schilling and Sandra Harris, Applied Numerical methods for Engineers Using Mat Lab and C- Thomson Learning, 2002.<\/li>\n<li>Gerald and Wheatley, Applied Numerical Analysis -Pearson Education, 2002.<\/li>\n<\/ol>\n<p><h4>Reference Books:<\/h4>\n<ol>\n<li>Mahinder Kumar Jain, Numerical Methods: For Scientific and Engineering Computation, New Age Publishers, 2012.<\/li>\n<li>Rajesh Srivastava and Saumyen Guha, Numerical Methods for Engineering and Science, Oxford University Press, 2010.<\/li>\n<li>P. Kandasamy, K. Thilagavathy and K. Gunavathi, Numerical Methods, S. Chand Publishers, 2006.<\/li>\n<\/li>\n<\/ol>\n<p>For detail syllabus of all other subjects of BE Aero, 2017 regulation do visit <a href=\"..\/category\/aero+7th-sem\">Aero 7th Sem syllabus for 2017 Regulation<\/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>Numerical Methods detail syllabus for Aeronautical Engineering (Aero), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17AE753), 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":[16],"tags":[],"class_list":["post-7792","post","type-post","status-publish","format-standard","hentry","category-aero"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/7792","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=7792"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/7792\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=7792"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=7792"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=7792"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}