{"id":25390,"date":"2020-07-23T16:09:49","date_gmt":"2020-07-23T16:09:49","guid":{"rendered":"https:\/\/www.inspirenignite.com\/jntuh\/18c301f-applied-engineering-mathematics-syllabus-for-civil-engineering-3rd-sem-c18-curriculum-tssbtet\/"},"modified":"2020-07-23T16:09:49","modified_gmt":"2020-07-23T16:09:49","slug":"18c301f-applied-engineering-mathematics-syllabus-for-civil-engineering-3rd-sem-c18-curriculum-tssbtet","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/18c301f-applied-engineering-mathematics-syllabus-for-civil-engineering-3rd-sem-c18-curriculum-tssbtet\/","title":{"rendered":"18C-301F: Applied Engineering Mathematics Syllabus for Civil Engineering 3rd Sem C18 Curriculum TSSBTET"},"content":{"rendered":"<p align=\"justify\">Applied Engineering Mathematics detailed Syllabus for Civil Engineering (DCE), C18 curriculum has been taken from the <a href=\"https:\/\/www.sbtet.telangana.gov.in\/\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">TSSBTET<\/a> official website and presented for the diploma students. For Course Code, Course Name, Lectures, Tutorial, Practical\/Drawing, Internal Marks, Max Marks, Total Marks, Min Marks and other information, do visit full semester subjects post given below. <\/p>\n<p align=\"justify\">For all other Diploma in Civil Engineering (DCE) Syllabus for 3rd Sem C18 Curriculum TSSBTET, do visit <a href=\"..\/civil-engineering-dce-syllabus-for-3rd-sem-c18-curriculum-tssbtet\">Diploma in Civil Engineering (DCE) Syllabus for 3rd Sem C18 Curriculum TSSBTET Subjects<\/a>. The detailed Syllabus for applied engineering mathematics is as follows.  <\/p>\n<h4>Prerequisites:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a 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\"><\/a>.  <\/p>\n<h4>Course Outcome:<\/h4>\n<p>  At the end of the course, the student will have the ability to<\/p>\n<ol>\n<li>Integrate different kinds of functions<\/li>\n<li>Integrate functions using different methods<\/li>\n<li>Find the values of definite integrals.<\/li>\n<li>Solve simple problems of Areas, Volumes.<\/li>\n<li>Find the Mean and RMS values of various functions and Approximate values of Definite integrals using Trapezoidal and Simpsons 1\/3rd rule<\/li>\n<li>Form the Differential Equation and Solve Simple DEs of 1st order and 1stdegree.<\/li>\n<\/ol>\n<h4>Unit-I<\/h4>\n<p>  Indefinite Integration-I Integration regarded as anti-derivative &#8211; Indefinite integral of standard functions. Properties of indefinite integral. Integration by substitution or change of variable. Integrals of the form sinm0. cosn0. where m and n are positive integers. Integrals of tan x, cot x, sec x, cosec x and powers of tan x, sec x by substitution. Evaluation of integrals which are reducible to the following forms:<\/p>\n<ol type=\"i\">\n<li>1 \/ a^2 + x^2, 1 \/ a^2 &#8211; x^2, 1 \/ x^2 &#8211; a^2<\/li>\n<li>1 \/ sqrt (a^2 + x^2), 1 \/ sqrt (a^2 x^2), 1 \/ sqrt (x^2 &#8211; a^2)<\/li>\n<li>sqrt (a^2 + x^2), sqrt (a^2 x^2), sqrt (x^2 &#8211; a^2)<\/li>\n<\/ol>\n<h4>Unit &#8211; II<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a 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\"><\/a>.  <\/p>\n<h4>Unit-III<\/h4>\n<p>  Definite Integral and its Properties: Definite integral-fundamental theorem of integral calculus, properties of definite integrals, evaluation of simple definite integrals. Definite integral as the limit of a sum.<\/p>\n<h4>Unit &#8211; IV<\/h4>\n<p>  Applications of Definite Integrals: Areas under plane curves &#8211; Sign of the Area &#8211; Area enclosed between two curves. Solid of revolution &#8211; Volumes of solids of revolution.<\/p>\n<h4>Unit &#8211; V<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a 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\"><\/a>.  <\/p>\n<h4>Unit &#8211; VI<\/h4>\n<p>  Differential Equations of First Order: Definition of a differential equation &#8211; order and degree of a differential equation &#8211; formation of differential equations &#8211; solution of differential equation of first order, first degree : variables -separable, homogeneous, exact, linear differential equation, Bernoullis equation.<\/p>\n<h4>Course Outcome:<\/h4>\n<h4>Unit-I<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a 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\"><\/a>.  <\/p>\n<h4>Unit-II<\/h4>\n<p><strong>Use Indefinite Integration To Solve Engineering Problems<\/strong>\n  <\/p>\n<ul>\n<li>Evaluate integrals using decomposition method.<\/li>\n<li>Evaluate integrals using integration by parts with examples.<\/li>\n<li>State the Bernoullis rule for evaluating the integrals of the form integral (u.v) dx<\/li>\n<li>Evaluate the integrals of the form integral (e^x [f(x) + f(x)]) dx<\/li>\n<\/ul>\n<h4>Unit-III<\/h4>\n<p><strong>Understand Definite Integral and Use It in Engineering Applications<\/strong>\n  <\/p>\n<ul>\n<li>State the fundamental theorem of integral calculus<\/li>\n<li>Explain the concept of definite integral.<\/li>\n<li>Calculate the definite integral over an interval.<\/li>\n<li>State various properties of definite integrals.<\/li>\n<li>Evaluate simple problems on definite integrals using the above properties.<\/li>\n<li>Explain definite integral as a limit of sum by considering an area.<\/li>\n<\/ul>\n<h4>Unit -IV<\/h4>\n<p><strong>Understand Definite Integral and Use It in Engineering Applications<\/strong>\n  <\/p>\n<ul>\n<li>Find the Areas under plane curves and area enclosed between two curves using integration.<\/li>\n<li>Obtain the Volumes of solids of revolution.<\/li>\n<\/ul>\n<h4>Unit -V<\/h4>\n<p><strong>Understand Mean, Rms Values and Numerical Methods<\/strong>\n  <\/p>\n<ul>\n<li>Obtain the Mean value and Root Mean Square (RMS) value of the functions in any given Interval.<\/li>\n<li>Explain the Trapezoidal rule, Simpsons 1\/3 rules for approximation of definite integrals and provide some examples.<\/li>\n<\/ul>\n<h4>Unit -VI<\/h4>\n<p><strong>Solve Differential Equations in Engineering Problems.<\/strong>\n  <\/p>\n<ul>\n<li>Define a Differential equation, its order and degree<\/li>\n<li>Form a differential equation by eliminating arbitrary constants.<\/li>\n<li>Solve the first order first degree differential equations by the following methods:<\/li>\n<ol type=\"i\">\n<li>Variables Separable.<\/li>\n<li>Homogeneous Equations.<\/li>\n<li>Exact Differential Equations<\/li>\n<li>Linear differential equation of the form dy\/dx + Py = Q, where P and Q are functions of x or constants.<\/li>\n<li>Bernoullis Equation (Reducible to linear form.)<\/li>\n<\/ol>\n<li>Solve simple problems leading to engineering applications by using above methods.<\/li>\n<\/ul>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>Integral Calculus Vol.I, by M.Pillai and Shanti Narayan<\/li>\n<li>Thomas Calculus, Pearson Addison -Wesley Publishers<\/li>\n<\/ol>\n<h4>Suggested E-Learning references<\/h4>\n<ol>\n<li>www.freebookcentre.net\/mathematics\/introductory-mathematics-books.html<\/li>\n<li>E-books:www.mathebook.net<\/li>\n<\/ol>\n<h4>Suggested Student Activities<\/h4>\n<ol>\n<li>Student visits Library to refer Standard Books on Mathematics and collect related material<\/li>\n<li>Quiz<\/li>\n<li>Group discussion<\/li>\n<li>Surprise tests<\/li>\n<li>Seminars<\/li>\n<li>Home Assignments<\/li>\n<\/ol>\n<h4>Skill Upgradation in &#8211; Applied Engineering Mathematics<\/h4>\n<p><strong>Activity Assessment Steps<\/strong>\n  <\/p>\n<ol>\n<li>Mathematical concepts<\/li>\n<li>Procedure<\/li>\n<li>Explanation<\/li>\n<li>Working with others<\/li>\n<li>Mathematical errors<\/li>\n<\/ol>\n<p><strong>Activities<\/strong>\n  <\/p>\n<ol>\n<li>Write a short notes on different types of integrals.<\/li>\n<li>Prepare a notes on different methods to evaluate integrals.<\/li>\n<li>List out Properties of definite integrals.<\/li>\n<li>List out and explain various applications of definite integrals.<\/li>\n<li>Explain the procedure to solve problems on Areas using integration<\/li>\n<li>Explain the procedure to find volumes of irregular shapes of solids of revolution using integration.<\/li>\n<li>Prepare a presentation to find Mean values and R.M.S values of any given function.<\/li>\n<li>Explain the procedure to calculate approximate area by using Trapezoidal rule.<\/li>\n<li>Explain the procedure to calculate approximate area by Simpsons 1\/3 rule<\/li>\n<li>Prepare a presentation on solving 1st order differential equations using any suitable method.<\/li>\n<\/ol>\n<p align=\"justify\">For detail Syllabus of all other subjects of Civil Engineering, C18 curriculum do visit <a href=\"..\/category\/dce+3rd-sem\">Diploma In Civil Engineering 3rd Sem Syllabus for C18 curriculum<\/a>.<\/p>\n<p align=\"justify\">For all Civil Engineering results, visit <a href=\"https:\/\/www.inspirenignite.com\/jntuh\/ts-sbtet-diploma-result-nov-2019-declare\/\">TSSBTET DCE all semester results<\/a> direct links.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Applied Engineering Mathematics detailed Syllabus for Civil Engineering (DCE), C18 curriculum has been taken from the TSSBTET official website and presented for the diploma students. For Course Code, Course Name, [&hellip;]<\/p>\n","protected":false},"author":2344,"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":[128,133],"tags":[],"class_list":["post-25390","post","type-post","status-publish","format-standard","hentry","category-3rd-sem","category-dce"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/25390","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\/2344"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/comments?post=25390"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/25390\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/media?parent=25390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/categories?post=25390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/tags?post=25390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}