{"id":9146,"date":"2018-08-26T16:43:00","date_gmt":"2018-08-26T16:43:00","guid":{"rendered":"https:\/\/www.inspirenignite.com\/jntuh\/?p=9146"},"modified":"2026-05-24T10:56:40","modified_gmt":"2026-05-24T05:26:40","slug":"jntuh-m-tech-2017-2018-r17-detailed-syllabus-numerical-methods-and-advanced-computing-techniques","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/jntuh-m-tech-2017-2018-r17-detailed-syllabus-numerical-methods-and-advanced-computing-techniques\/","title":{"rendered":"JNTUH M.Tech 2017-2018 (R17) Detailed Syllabus Numerical Methods and Advanced Computing Techniques"},"content":{"rendered":"Numerical Methods and Advanced Computing Techniques Detailed Syllabus for Nano Technology M.Tech first year first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.\r\n\r\nThe detailed syllabus for Numerical Methods and Advanced Computing Techniques M.Tech 2017-2018 (R17) first year first sem is as follows.\r\n\r\nM.Tech. I Year I Sem.\r\n\r\n<strong>Prerequisite: Basic engineering mathematics probability &amp; statistics<\/strong>\r\n<strong>Course Objective:\u00a0<\/strong>The course is intended to cover, basics concepts of mathematics like numerical algebra, probability , simulations specially Monte- Carlo simulations which will help in understanding theoretical concepts of Nanotechnology.\r\n\r\n<strong>Course Outcome:<\/strong>\r\n<ul>\r\n \t<li>To know the importance of simulations in nanotechnology.<\/li>\r\n \t<li>Students without mathematics back ground will be able to understand the concept of mathematics.<\/li>\r\n \t<li>To evaluate nanostructured simulations in nanotechnology.<\/li>\r\n<\/ul>\r\n<strong>Unit \u2013 I :<\/strong> Numerics in general: Interpolation, Gauss elimination, Solution by iteration, least square method.\r\n\r\n<strong>Unit &#8211; II:<\/strong> Numeric Linear Algebra and differential equations: Matrix Eigen value problems: Introduction, Inclusion of Matrix Eigen values, Tridiognalization and RQ factorization. Methods for first order ODEs, Multi step methods, Higher order ODES\r\n\r\n<strong>Unit-III :<\/strong> Introduction to probability: Probability, Sample space and events- Probability- the axioms of probability, some elementary theorems-conditional probability Baye\u2019s theorem Random Variables Discrete and continuous \u2013 distribution- distribution function Distribution Binomial and poison distributions and normal distribution \u2013 related properties.\r\n\r\n<strong>Unit- IV :\u00a0<\/strong>Systems, Models, Simulations and the Monte Carlo Methods: Systems,Models,Simulation and the Monte Carlo Methods, Random number generation, Introduction, Congruential Generators, Statistical Tests of Pseudorandom Numbers, Random variate generation, inverse Transform Method, Composition Method, Acceptance-Rejection Method,\r\n\r\n<strong>Unit-V :\u00a0<\/strong>Monte Carlo integration and Variance reduction techniques: Introduction, Monte Carlo Integration, The Hit or Miss Monte Carlo Method, The Sample-Mean Monte Carlo Method, Efficiency of Monte Carlo Method, Integration in Presence of Noise,\r\n\r\n<strong>TEXT BOOKS:<\/strong>\r\n<ul>\r\n \t<li>Advanced engineering mathematics, by Erwin Kreyszig, wiley publications<\/li>\r\n \t<li>Probability and statistics, scham series, Arnold o. allen, academic press<\/li>\r\n \t<li>Probability and statistics, Arnold o. allen, academic press<\/li>\r\n \t<li>Probability and statistics for engineers, miller and john e. freund, prentice hall of india<\/li>\r\n \t<li>A primer for the monte carlo method, llya M. Sobol&#8217; CRC Press<\/li>\r\n \t<li>Simulation and monte carlo method by reuven y. rubisten<\/li>\r\n \t<li>The monte carlo method, popular lectures in mathematics by sobol.i.m<\/li>\r\n<\/ul>\r\nFor all other M.Tech 1st Year 1st Sem syllabus go to <a href=\"https:\/\/www.inspirenignite.com\/jntuh\/jntuh-first-year-first-sem-nano-technology-for-m-tech-2017-2018-r17-batch\/\">JNTUH M.Tech Nano Technology 1st Year 1st Sem Course Structure for (R17) Batch.<\/a>\r\n\r\nAll details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.\r\n\r\nDo share with friends and in case of questions please feel free drop a comment.\n\n<h2>Download iStudy App (Android &amp; iOS)<\/h2>\n<div style=\"width: 100%;text-align: center;background: #f0f7ff;border: 1px solid #d9e8ff;border-radius: 10px;padding: 12px 10px;margin: 8px 0 12px 0\">\n<p style=\"margin: 0 0 8px 0\">Get instant JNTUH updates, timetables, results, and notices on mobile.<\/p>\n<div style=\"justify-content: center;align-items: flex-start;gap: 24px;flex-wrap: wrap\">\n<div style=\"flex-direction: column;align-items: center;gap: 2px\"><img decoding=\"async\" style=\"height: 54px;width: auto\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<img decoding=\"async\" style=\"height: 80px;width: 80px\" src=\"https:\/\/api.qrserver.com\/v1\/create-qr-code\/?size=120x120&amp;data=https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" alt=\"Android app QR code\" \/><\/div>\n<div>\u00a0<\/div>\n<div style=\"flex-direction: column;align-items: center;gap: 2px\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">Android App<\/a><\/div>\n<div>\u00a0<\/div>\n<div style=\"flex-direction: column;align-items: center;gap: 2px\"><img decoding=\"async\" style=\"height: 40px;width: auto\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/3\/3c\/Download_on_the_App_Store_Badge.svg\" alt=\"Download on the App Store\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<img decoding=\"async\" style=\"height: 80px;width: 80px\" src=\"https:\/\/api.qrserver.com\/v1\/create-qr-code\/?size=120x120&amp;data=https:\/\/apps.apple.com\/us\/app\/istudy-app-syllabus-papers\/id6478500231\" alt=\"iOS app QR code\" \/><\/div>\n<div>\u00a0<\/div>\n<div style=\"flex-direction: column;align-items: center;gap: 2px\"><a href=\"https:\/\/apps.apple.com\/us\/app\/istudy-app-syllabus-papers\/id6478500231\" target=\"_blank\" rel=\"noopener\">iOS App <\/a><\/div>\n<\/div>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Numerical Methods and Advanced Computing Techniques Detailed Syllabus for Nano Technology M.Tech first year first sem is covered here. This gives the details about credits, number of hours and other [&hellip;]<\/p>\n","protected":false},"author":2259,"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":[73,62],"tags":[],"class_list":["post-9146","post","type-post","status-publish","format-standard","hentry","category-m-tech","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/9146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/users\/2259"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/comments?post=9146"}],"version-history":[{"count":3,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/9146\/revisions"}],"predecessor-version":[{"id":40577,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/9146\/revisions\/40577"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/media?parent=9146"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/categories?post=9146"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/tags?post=9146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}