{"id":50649,"date":"2023-03-22T07:13:54","date_gmt":"2023-03-22T07:13:54","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/ma3355-random-processes-and-linear-algebra-syllabus-for-bme-2021-regulation\/"},"modified":"2023-03-22T07:13:54","modified_gmt":"2023-03-22T07:13:54","slug":"ma3355-random-processes-and-linear-algebra-syllabus-for-bme-2021-regulation","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/ma3355-random-processes-and-linear-algebra-syllabus-for-bme-2021-regulation\/","title":{"rendered":"MA3355: Random Processes and Linear Algebra syllabus for BME 2021 regulation"},"content":{"rendered":"<p align=\"justify\">Random Processes and Linear Algebra detailed syllabus for Biomedical Engineering (BME) for 2021 regulation curriculum has been taken from the <a class=\"rank-math-link\" href=\"https:\/\/cac.annauniv.edu\/\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Anna University<\/a> official website and presented for the BME 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<p align=\"justify\">For Biomedical Engineering 4th Sem scheme and its subjects, do visit <a class=\"rank-math-link\" href=\"..\/bme-4th-sem-syllabus-2021-regulation\">BME 4th Sem 2021 regulation scheme<\/a>. The detailed syllabus of random processes and linear algebra is as follows. <\/p>\n<p>  <title>Random Processes and Linear Algebra<\/title><\/p>\n<h4>Course Objectives:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Unit I<\/h4>\n<p>  PROBABILITY AND RANDOM VARIABLES Axioms of probability &#8211; Conditional probability &#8211; Bayes theorem &#8211; Discrete and continuous random variables &#8211; Moments &#8211; Moment generating functions &#8211; Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions &#8211; Functions of a random variable.<\/p>\n<h4>Unit II<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Unit III<\/h4>\n<p>  RANDOM PROCESSES Classification &#8211; Stationary process &#8211; Markov process &#8211; Poisson process &#8211; Discrete parameter Markov chain &#8211; Chapman Kolmogorov equations (Statement only) &#8211; Limiting distributions .<\/p>\n<h4>Unit IV<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Unit V<\/h4>\n<p>  LINEAR TRANSFORMATION AND INNER PRODUCT SPACES Linear transformation &#8211; Null spaces and ranges &#8211; Dimension theorem &#8211; Matrix representation of a linear transformations &#8211; Inner product &#8211; Norms &#8211; Gram Schmidt orthogonalization process &#8211; Adjoint of linear operations &#8211; Least square approximation.<\/p>\n<h4>Course Outcomes:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Text Books:<\/h4>\n<ol>\n<li>Gross, D., Shortle, J.F, Thompson, J.M and Harris. C.M., Fundamentals of Queueing Theory&#8221;, Wiley Student 4th Edition, 2014.<\/li>\n<li>Ibe, O.C., Fundamentals of Applied Probability and Random Processes&#8221;, Elsevier,1st Indian Reprint, 2007.<\/li>\n<li>Friedberg. A.H., Insel. A.J. and Spence. L., Linear Algebra, Prentice Hall of India, New Delhi, 4th Edition, 2004.<\/li>\n<\/ol>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>Hsu, &#8220;Schaums Outline of Theory and Problems of Probability, Random Variables and Random Processes&#8221;, Tata McGraw Hill Edition, New Delhi, 2004.<\/li>\n<li>Trivedi, K.S., &#8220;Probability and Statistics with Reliability, Queueing and Computer Science Applications&#8221;, 2nd Edition, John Wiley and Sons, 2002.<\/li>\n<li>Yates, R.D. and Goodman. D. J., &#8220;Probability and Stochastic Processes&#8221;, 2nd Edition, Wiley India Pvt. Ltd., Bangalore, 2012.<\/li>\n<li>Kolman. B. Hill. D.R., Introductory Linear Algebra, Pearson Education, New Delhi, First Reprint, 2009.<\/li>\n<li>Kumaresan. S., Linear Algebra &#8211; A Geometric Approach, Prentice &#8211; Hall of India, New Delhi, Reprint, 2010.<\/li>\n<li>Strang. G., Linear Algebra and its applications, Thomson (Brooks\/Cole), New Delhi, 2005.<\/li>\n<\/ol>\n<p align=\"justify\">For detailed syllabus of all other subjects of Biomedical Engineering, 2021 regulation curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/bme+4th-sem\">BME 4th Sem subject syllabuses for 2021 regulation<\/a>. <\/p>\n<p align=\"justify\">For all Biomedical Engineering results, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-results\/\">Anna University BME all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Random Processes and Linear Algebra detailed syllabus for Biomedical Engineering (BME) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the BME students. [&hellip;]<\/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":[47,67],"tags":[],"class_list":["post-50649","post","type-post","status-publish","format-standard","hentry","category-4th-sem","category-bme"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/50649","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=50649"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/50649\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=50649"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=50649"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=50649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}