{"id":56164,"date":"2023-08-28T16:21:46","date_gmt":"2023-08-28T16:21:46","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/oma355-advanced-numerical-methods-syllabus-for-aiml-2021-regulation-open-elective-iv\/"},"modified":"2023-08-28T16:21:46","modified_gmt":"2023-08-28T16:21:46","slug":"oma355-advanced-numerical-methods-syllabus-for-aiml-2021-regulation-open-elective-iv","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/oma355-advanced-numerical-methods-syllabus-for-aiml-2021-regulation-open-elective-iv\/","title":{"rendered":"OMA355: Advanced Numerical Methods syllabus for AI&ML 2021 regulation (Open Elective-IV)"},"content":{"rendered":"

Advanced Numerical Methods detailed syllabus for Artificial Intelligence & Machine Learning (AI&ML) for 2021 regulation curriculum has been taken from the Anna Universities<\/a> official website and presented for the AI&ML students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below. <\/p>\n

For Artificial Intelligence & Machine Learning 7th Sem scheme and its subjects, do visit AI&ML 7th Sem 2021 regulation scheme<\/a>. For Open Elective-IV scheme and its subjects refer to AI&ML Open Elective-IV syllabus scheme<\/a>. The detailed syllabus of advanced numerical methods is as follows. <\/p>\n

Course Objectives:<\/h4>\n

Download the iStudy App for all syllabus and other updates.<\/a>
\"Get<\/a><\/h4>\n

Unit I<\/h4>\n

ALGEBRAIC EQUATIONS AND EIGENVALUE PROBLEM\tSystem of nonlinear equations : Fixed point iteration method – Newton’s method; System of linear equations: Thomas algorithm for tri diagonal system – SOR iteration methods ; Eigen value problems: Given’s method – Householder’s method.\n<\/p>\n

Unit II<\/h4>\n

INTERPOLATION\tCentral difference: Stirling and Bessel’s interpolation formulae ; Piecewise spline interpolation: Piecewise linear, piecewise quadratic and cubic spline ; Least square approximation for continuous data (upto 3rd degree).\n<\/p>\n

Unit III<\/h4>\n

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Unit IV<\/h4>\n

FINITE DIFFERENCE METHODS FOR ELLIPTIC EQUATIONS\tLaplace and Poisson\u2019s equations in a rectangular region : Five point finite difference schemes -Leibmann\u2019s iterative methods – Dirichlet’s and Neumann conditions – Laplace equation in polar coordinates : Finite difference schemes .\n<\/p>\n

Unit V<\/h4>\n

FINITE DIFFERENCE METHOD FOR TIME DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS\tParabolic equations : Explicit and implicit finite difference methods – Weighted average approximation – Dirichlet’s and Neumann conditions – First order hyperbolic equations – Method of characteristics – Different explicit and implicit methods; Wave equation : Explicit scheme -Stability of above schemes.\n<\/p>\n

Course Outcomes:<\/h4>\n

Upon completion of this course, the students will be able to:<\/p>\n

    \n
  1. demonstrate the understandings of common numerical methods for nonlinear equations, system of linear equations and eigenvalue problems;<\/li>\n
  2. understand the interpolation theory;<\/li>\n
  3. understand the concepts of numerical methods for ordinary differential equations;<\/li>\n
  4. demonstrate the understandings of common numerical methods for elliptic equations;<\/li>\n
  5. understand the concepts of numerical methods for time dependent partial differential equations<\/li>\n<\/ol>\n

    Text Books:<\/h4>\n

    Download the iStudy App for all syllabus and other updates.<\/a>
    \"Get<\/a><\/h4>\n

    Reference Books:<\/h4>\n
      \n
    1. Saumyen Guha and Rajesh Srivastava, “Numerical methods for Engineering and Science”, Oxford Higher Education, New Delhi, 2010.<\/li>\n
    2. Burden, R.L., and Faires, J.D., \u201cNumerical Analysis – Theory and Applications\u201d,th Edition, Cengage Learning, New Delhi, 2016.<\/li>\n
    3. Gupta S.K., \u201cNumerical Methods for Engineers\u201d,4th Edition, New Age Publishers, 2019.<\/li>\n
    4. Sastry, S.S., \u201cIntroductory Methods of Numerical Analysis\u201d, 5th Edition, PHI Learning, 2015.<\/li>\n
    5. Morton, K.W. and Mayers D.F., “Numerical solution of Partial Differential equations”, Cambridge University press, Cambridge, 2002.<\/li>\n<\/li>\n<\/ol>\n

      For detailed syllabus of all the other subjects of Artificial Intelligence & Machine Learning 7th Sem, visit AI&ML 7th Sem subject syllabuses for 2021 regulation<\/a>. <\/p>\n

      For all Artificial Intelligence & Machine Learning results, visit Anna University AI&ML all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"

      Advanced Numerical Methods detailed syllabus for Artificial Intelligence & Machine Learning (AI&ML) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the AI&ML […]<\/p>\n","protected":false},"author":2297,"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":[157],"tags":[],"class_list":["post-56164","post","type-post","status-publish","format-standard","hentry","category-aiml"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/56164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/users\/2297"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/comments?post=56164"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/56164\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=56164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=56164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=56164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}