{"id":855,"date":"2023-05-10T03:05:42","date_gmt":"2023-05-10T03:05:42","guid":{"rendered":"https:\/\/www.inspirenignite.com\/ap\/c102-engineering-mathematics-i-syllabus-for-dce-1st-year-c20-regulation-apsbtet\/"},"modified":"2023-05-10T03:05:42","modified_gmt":"2023-05-10T03:05:42","slug":"c102-engineering-mathematics-i-syllabus-for-dce-1st-year-c20-regulation-apsbtet","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/ap\/c102-engineering-mathematics-i-syllabus-for-dce-1st-year-c20-regulation-apsbtet\/","title":{"rendered":"C-102: Engineering Mathematics – I syllabus for DCE 1st Year C20 regulation APSBTET"},"content":{"rendered":"

Engineering Mathematics – I detailed syllabus for Diploma in Civil Engineering (DCE) for C20 regulation curriculum has been taken from the APSBTET<\/a> official website and presented for the DCE 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 Diploma in Civil Engineering 1st Year scheme and its subjects, do visit DCE 1st Year C20 regulation scheme<\/a>. The detailed syllabus of engineering mathematics – i is as follows. <\/p>\n

Engineering Mathematics – I<\/title><\/p>\n<h4>Unit Title<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><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 Objectives:<\/h4>\n<ol type=\"a\">\n<li>To apply the principles of Algebra, Trigonometry and Co-Ordinate Geometry to real-time problems in engineering.<\/li>\n<li>To comprehend and apply the concept of Differential Calculus in engineering applications.<\/li>\n<\/ol>\n<h4>Course Outcomes:<\/h4>\n<ol>\n<li>Identify various functions, resolve partial fractions and solve problems on matrices.<\/li>\n<li>Solve problems using the concept of trigonometric functions, their inverses and complex numbers.<\/li>\n<li>Find the equations and properties of straight lines, circles and conic sections in coordinate system.<\/li>\n<li>Evaluate the limits and derivatives of various functions.<\/li>\n<li>Evaluate solutions for engineering problems using differentiation.<\/li>\n<\/ol>\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 class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><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><i>Trigonometry<\/i>\n <\/p>\n<ol>\n<li>Trigonometric ratios:Definition of trigonometric ratios of any angle, values of trigonometric ratios at specified values, draw graphs of trigonometric functions, periodicity of trigonometric functions.<\/li>\n<li>Compound angles:Formulas of sin(A\u00c2\u00b1B), cos(A\u00c2\u00b1B), tan(A\u00c2\u00b1B),cot(A\u00c2\u00b1B),and related identities with problems.<\/li>\n<li>Multiple and sub multiple angles:Formulae for trigonometric ratios of multiple angles 2A, 3A and sub multipleangles A\/2 with problems.<\/li>\n<li>Transformations of products into sums or differences and vice versa simple problems<\/li>\n<li>Inverse trigonometric functions:Definition, domains and ranges-basic properties- problems.<\/li>\n<li>Trigonometric equations:Concept of a solution, principal value and general solution of trigonometric equations: sinx =k ,cosx= k, tanx =k, where k is a constant. Solutions of simple quadratic equations, equations involving usage of transformations- problems.<\/li>\n<li>Properties of triangles:Relation between sides and angles of a triangle- sine rule, cosine rule, tangent rule and projection rule-area of a triangle- problems.<\/li>\n<li>Hyperbolic functions:Definitions of hyperbolic functions, identities of hyperbolic functions, inverse hyperbolic functions and expression of inverse hyperbolic functions in terms of logarithms.<\/li>\n<li>Complex Numbers:Definition of a complex number, Modulus and conjugate of a complex number, Arithmetic operations on complex numbers, Modulus- Amplitue (polar) form , Exponential form (Euler form) of a complex number- Problems. DeMoivres theorem.<\/li>\n<\/ol>\n<h4>Unit III<\/h4>\n<p><i>Coordinate Geometry<\/i>\n <\/p>\n<ol>\n<li>Straight lines: various forms of straight lines, angle between lines, perpendicular distance from a point, distance between parallel lines-examples.<\/li>\n<li>Circle: locus of a point, Circle, definition-Circle equation given (i) centre and radius, (ii) two ends of a diameter (iii) centre and a point on the circumference (iv) three non collinear points – general equation of a circle – finding centre, radius.<\/li>\n<li>Definition of a conic section, equation of a conic when focus directrix and eccentricity are given. properties of parabola, ellipse and hyperbola in standard forms.<\/li>\n<\/ol>\n<h4>Unit IV<\/h4>\n<p><i>Differential Calculus:<\/i>\n <\/p>\n<ol>\n<li>Concept of Limit- Definition- Properties of Limits and Standard Limits -Simple Problems-Continuity of a function at a point- Simple Examples only.<\/li>\n<li>Concept of derivative- Definition (first principle)- different notations-derivatives of elementary functions- problems. Derivatives of sum, product, quotient, scalar multiplication of functions – problems. Chain rule, derivatives of inverse trigonometric functions, derivative of a function with respect to another function, derivative of parametric functions, derivative of hyperbolic, implicit functions, logarithmic differentiation – problems in each case. Higher order derivatives – examples – functions of several variables – partial differentiation, Eulers theorem-simple problems.<\/li>\n<\/ol>\n<h4>Unit 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 class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><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>Text Books:<\/h4>\n<p> Engineering Mathematics-I, a textbook for first year diploma courses, prepared & prescribed by SBTET, AP.<\/p>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>Shanti Narayan, A Textbook of matrices, S.Chand&Co.<\/li>\n<li>Robert E. Moyer & Frank Ayers Jr., Schaums Outline of Trigonometry, 4th Edition, Schaums Series<\/li>\n<li>M.Vygodsky, Mathematical Handbook, Mir Publishers, Moscow.<\/li>\n<\/ol>\n<p align=\"justify\">For detailed syllabus of all other subjects of Diploma in Civil Engineering, C20 regulation curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/dce+1st-year\">DCE 1st Year subject syllabuses for C20 regulation<\/a>. <\/p>\n<p align=\"justify\">For all Diploma in Civil Engineering exam timetable, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/ap\/category\/exam-time-table\/\">APSBTET DCE all semester exam timetable<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Engineering Mathematics – I detailed syllabus for Diploma in Civil Engineering (DCE) for C20 regulation curriculum has been taken from the APSBTET official website and presented for the DCE students. […]<\/p>\n","protected":false},"author":2530,"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":[6,12],"tags":[],"class_list":["post-855","post","type-post","status-publish","format-standard","hentry","category-1st-year","category-dce"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/posts\/855","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/users\/2530"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/comments?post=855"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/posts\/855\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/media?parent=855"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/categories?post=855"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ap\/wp-json\/wp\/v2\/tags?post=855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}