{"id":441,"date":"2021-08-08T10:59:14","date_gmt":"2021-08-08T10:59:14","guid":{"rendered":"https:\/\/itgeeks.in\/home\/?p=441"},"modified":"2021-08-08T10:59:15","modified_gmt":"2021-08-08T10:59:15","slug":"2k6ce-705d-computational-methods-and-operational-research","status":"publish","type":"post","link":"https:\/\/itgeeks.in\/home\/?p=441","title":{"rendered":"2K6CE 705(D) COMPUTATIONAL METHODS AND OPERATIONAL RESEARCH"},"content":{"rendered":"\n<p><strong>A. Computational methods in civil engineering<\/strong><br><strong>MODULE I (13 Hours)<\/strong><br>Eigen value problems Examples of Eigen value problems in civil engineering- principal stress and strain- free vibration of multi degree of freedom systems- determination of Eigen values and Eigen vectors by power method and Jacobi\u2019s method.<br><strong>MODULE II (13 Hours)<\/strong><br>Numerical differentiation and integration Numerical differentiation and integration using Newton\u2019s and Gauss\u2019 formula- maximum and minimum values of tabulated functions- Newton Cote\u2019s integration formula- numerical integration using trapezoidal formula, Simpson\u2019s formula &#8211; Gauss quadrature- development of computer algorithms for numerical integration. Numerical solution of partial differential equations solutions of elliptic, parabolic and hyperbolic equations<br><strong>B. Operational research techniques<\/strong><br><strong>MODULE IV (13 Hours)<\/strong><br>Introduction to operational research History of operational research- nature and scope of operational research- &#8211; mathematical formulation of the problem- graphical solution methods- allocation assignment and transportation problems<br><strong>MODULE V (13 Hours)<\/strong><br>Linear programming mathematical solution of L-P problems- matrix formulation of general linear programming problems-Simplex method- algorithm and computational procedures- Karmarkar\u2019s method &#8211; two phase simplex method- problems of degeneracy- principles of duality in simplex method- sensitivity analysis.&nbsp;&nbsp;<\/p>\n\n\n\n<p><strong>Reference Books<\/strong><\/p>\n\n\n\n<p>1.<a href=\"https:\/\/itgeeks.in\/home\/?p=442\">Hildebrand F.B, Introduction to Numerical Analysis, T.M.H<\/a><br>2.\u00a0<a href=\"https:\/\/itgeeks.in\/home\/?p=444\">Gerald C. F, Applied Numerical Analysis, Addison Wesley<\/a><br>3. <a href=\"https:\/\/itgeeks.in\/home\/?p=446\">S.S. Sastry, Introductory methods of numerical analysis, P.H.I<\/a><br>4. <a href=\"https:\/\/itgeeks.in\/home\/?p=449\">Singiresu. S. Rao, Engineering optimization theory and practice, New age international.<\/a><br>5. R.L. Fox. Optimization methods for engineering design.<br>6.\u00a0<a href=\"https:\/\/itgeeks.in\/home\/?p=451\">Taha.H A, Operational Research An Introduction, P.H.I<\/a><\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/itgeeks.in\/home\/?p=202\">S7 Question Papers<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>A. Computational methods in civil engineeringMODULE I (13 Hours)Eigen value problems Examples of Eigen value problems in civil engineering- principal<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30,22,9,8],"tags":[7],"class_list":["post-441","post","type-post","status-publish","format-standard","hentry","category-ku-s7-ce","category-ku-syb-s7","category-ku-syllabus","category-syllabus","tag-kannur-university"],"_links":{"self":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/441","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=441"}],"version-history":[{"count":1,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/441\/revisions"}],"predecessor-version":[{"id":453,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/441\/revisions\/453"}],"wp:attachment":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=441"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=441"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=441"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}