{"id":2803,"date":"2021-06-20T03:26:50","date_gmt":"2021-06-20T03:26:50","guid":{"rendered":"https:\/\/www.inspirenignite.com\/kl\/1002-engineering-mathematics-i-kl-diploma-syllabus-for-computer-hardware-1st-sem-2015-revision-sitttr\/"},"modified":"2021-06-20T03:26:50","modified_gmt":"2021-06-20T03:26:50","slug":"1002-engineering-mathematics-i-kl-diploma-syllabus-for-computer-hardware-1st-sem-2015-revision-sitttr","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/kl\/1002-engineering-mathematics-i-kl-diploma-syllabus-for-computer-hardware-1st-sem-2015-revision-sitttr\/","title":{"rendered":"1002: Engineering Mathematics I KL Diploma Syllabus for Computer Hardware 1st Sem 2015 Revision SITTTR"},"content":{"rendered":"

Engineering Mathematics I detailed syllabus for Computer Hardware (Computer Hardware) for 2015 revision curriculum has been taken from the SITTTRs<\/a> official website and presented for the Computer Hardware 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 Computer Hardware 1st Sem scheme and its subjects, do visit Computer Hardware 1st Sem 2015 revision scheme<\/a>. The detailed syllabus of engineering mathematics i is as follows. <\/p>\n

Engineering Mathematics I<\/title><\/p>\n<h4>Course Outcomes:<\/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\" 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’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\" 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>Specific Outcomes<\/h4>\n<p align=\"justify\">\n MODULE-I TRIGONOMETRY-I<\/p>\n<ol>\n<li>ANGLE\n<ol type=\"i\">\n<li>Definition of an angle.<\/li>\n<li>Concept of an angle in trigonometry ,<\/li>\n<li>Different systems of measuring an angle.<\/li>\n<li>Definition of degree and radian.<\/li>\n<li>Express a right angle in different systems,<\/li>\n<li>Relation between degree & radian .<\/li>\n<\/ol>\n<\/li>\n<li>TRIGONOMETRIC RATIOS.\n<ol type=\"i\">\n<li>Definition of Trigonometric ratios<\/li>\n<li>Trigonometric identities.(statements only)<\/li>\n<li>Problems based on trigonometric identities,<\/li>\n<li>Trigonometric ratios of standard angles like 00, 300, 450, 600 and 900.<\/li>\n<li>Problems.<\/li>\n<\/ol>\n<\/li>\n<li>TRIGONOMETRIC RATIOS OF RELATED ANGLES\n<ol type=\"i\">\n<li>Angle of any magnitude and sign<\/li>\n<li>Give examples to differentiate positive and negative angles<\/li>\n<li>Trigonometric ratios in different quadrants and signs ASTC-Rule<\/li>\n<li>Finding all other t-functions, when a t-function in a particular quadrant is given.<\/li>\n<li>Complementary angles and relation between trigonometric ratios of complementary angles.<\/li>\n<li>Formulae of 90\u00c2\u00b1 0, 180\u00c2\u00b1 0, 270\u00c2\u00b1 0, 360\u00c2\u00b1 0 and (-0)<\/li>\n<li>Evaluation of sin 120, cos 330, tan 315<\/li>\n<li>Problems on related angles.<\/li>\n<\/ol>\n<\/li>\n<li>HEIGHTS AND DISTANCES\n<ol type=\"i\">\n<li>Angle of elevation and angle of depression.<\/li>\n<li>Simple problems on height and distance.<\/li>\n<\/ol>\n<\/li>\n<li>COMPOUND ANGLES.\n<ol type=\"i\">\n<li>Compound angles<\/li>\n<li>Examples for compound angles.<\/li>\n<li>Formulae of sin(A+B),and cos (A+B),<\/li>\n<li>tan(A+B) in terms of tan A and tan B<\/li>\n<li>Formula for sin(A-B),cos (A-B) and tan(A-B).<\/li>\n<li>Simple problems on compound angles.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p> MODULE-II TRIGONOMETRY-II<\/p>\n<ol>\n<li>MULTIPLE AND SUBMULTIPLE ANGLES.\n<ol type=\"i\">\n<li>Multiple and sub multiple angles with examples.<\/li>\n<li>Formulae for sin2A,cos2A and tan 2A (statements only)<\/li>\n<li>Formulae for sin 3A, cos 3A (statements only)<\/li>\n<li>Simple problems on multiple angles (problems involving half angle formulae are excluded)<\/li>\n<\/ol>\n<\/li>\n<li>SUM OR DIFFERENCE FORMULAE AND CONVERSE\n<ol type=\"i\">\n<li>Expressions for sinC \u00c2\u00b1 sinD and cosC \u00c2\u00b1 cosD in terms of Product of trigonometric ratios.<\/li>\n<li>Expressions for sinAcosB, cosAsinB, cosAcosB and sinAsinB in terms of the sum and difference of trigonometric ratios.<\/li>\n<li>Simple problems.<\/li>\n<\/ol>\n<\/li>\n<li>PROPERTIES AND SOLUTION OF TRIANGLES.\n<ol type=\"i\">\n<li>The relation between sides of a triangle and Sines, Cosines and Tangents of any angle<\/li>\n<li>Sine rule, Cosine rule and Tangent rule-(statements only) ,<\/li>\n<li>Projection formulae in any triangle.(no proof)<\/li>\n<li>Simple problems on above rules.<\/li>\n<li>Solution of a triangle in the following cases when\n<ol type=\"a\">\n<li>All the three sides are given<\/li>\n<li>Two sides and included angle are given<\/li>\n<li>Two angles and one side is given<\/li>\n<\/ol>\n<\/li>\n<li>Area of a triangle (Formulae and simple problems, no proof) when,\n<ol type=\"a\">\n<li>All the three sides a, b and c are given<\/li>\n<li>Two sides and one included angle are given<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p> MODULE-III DIFFERENTIAL CALCULUS<\/p>\n<ol>\n<li>FUNCTIONS AND LIMITS.\n<ol type=\"i\">\n<li>Variables and Constants.<\/li>\n<li>Dependent and independent variables.<\/li>\n<li>Definition of a function<\/li>\n<li>Explicit and implicit functions<\/li>\n<li>Concept of limit of a function (intuitive idea only).<\/li>\n<li>Need for this concept in finding instantaneous rate of change like velocity and slope.<\/li>\n<li>Explanation of lim 1 = and lim 1 = 0, A’^0 x x^-‘X x<\/li>\n<li>Simple problems on evaluation of limits of functions\n<ol type=\"a\">\n<li>When x tends to ‘a’<\/li>\n<li>By factorization,<\/li>\n<li>When x tends to<\/li>\n<\/ol>\n<\/li>\n<li>Algebraic and trigonometrical limits:-Follow from pdf.<\/li>\n<li>Simple problems on evaluation of limits based on direct application of the above standard limits.<\/li>\n<\/ol>\n<\/li>\n<li>DIFFERENTIATION-I\n<ol type=\"i\">\n<li>Increment and incremental ratio.<\/li>\n<li>Differential coefficient or derivative of a function.<\/li>\n<li>Derivatives of functions of xn, sinx,and cosx with respect to ‘x’ from method of first principles<\/li>\n<li>List of standard derivatives.<\/li>\n<li>Derivatives of ex and log x (no proof).<\/li>\n<li>Derivatives of inverse trigonometric functions (no derivation)<\/li>\n<li>Rules of differentiation: Sum, product and quotient of functions.<\/li>\n<li>Simple problems based on these rules.<\/li>\n<\/ol>\n<\/li>\n<li>DIFFERENTIATION-II\n<ol type=\"i\">\n<li>Derivatives of function of a function (Chain rule).<\/li>\n<li>Problems based on chain rule.<\/li>\n<li>Differentiation of Implicit functions and Parametric functions.<\/li>\n<li>Simple problems on differentiation of implicit functions and parametric functions.<\/li>\n<li>Successive differentiation up to second order.<\/li>\n<li>Problems on successive differentiation.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p> MODULE-IV APPLICATIONS OF DIFFERENTIAL CALCULUS<\/p>\n<ol>\n<li>EQUATIONS OF TANGENTS AND NORMALS\n<ol type=\"i\">\n<li>Geometrical meaning of derivative<\/li>\n<li>Slope of a curve at a point.<\/li>\n<li>Equations of tangent and normal to the curve y = f<\/li>\n<li>at a given point.<\/li>\n<\/ol>\n<\/li>\n<li>RATES AND MOTION\n<ol type=\"i\">\n<li>Derivative as a rate measurer<\/li>\n<li>Simple problems of rates occurring in engineering.<\/li>\n<li>Velocity and acceleration<\/li>\n<li>Simple problems to find velocity and acceleration of a moving body 13.5 when displacement ‘s’ is given in terms of ‘t’ and related problems<\/li>\n<li>Problems to determine the rate of change of a variable, when the rate of change of some related variable is given.<\/li>\n<\/ol>\n<\/li>\n<li>MAXIMA AND MINIMA\n<ol type=\"i\">\n<li>Increasing and decreasing functions.<\/li>\n<li>Conditions for maxima and minima.(No proof)<\/li>\n<li>Maxima and minima of a function.<\/li>\n<li>Simple direct problems on maxima and minima.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h4>Course Contents<\/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\" 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’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\" 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>Text Books:<\/h4>\n<p align=\"justify\">\n Engineering Mathematics-I for polytechnic colleges by different authors.\n<\/p>\n<h4>Reference Books:<\/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\" 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’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\" 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<p align=\"justify\">For detailed syllabus of all other subjects of Computer Hardware, 2015 revision curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/computer-hardware+1st-sem\">Computer Hardware 1st Sem subject syllabuses for 2015 revision<\/a>. <\/p>\n<p align=\"justify\">To see the syllabus of all other branches of diploma 2015 revision curriculum do visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/kl\/kerala-diploma-syllabus\/\">all branches of SITTTR diploma 2015 revision<\/a>. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Engineering Mathematics I detailed syllabus for Computer Hardware (Computer Hardware) for 2015 revision curriculum has been taken from the SITTTRs official website and presented for the Computer Hardware students. For […]<\/p>\n","protected":false},"author":2462,"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":[32,48],"tags":[],"class_list":["post-2803","post","type-post","status-publish","format-standard","hentry","category-1st-sem","category-computer-hardware"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/posts\/2803","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/users\/2462"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/comments?post=2803"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/posts\/2803\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/media?parent=2803"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/categories?post=2803"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/kl\/wp-json\/wp\/v2\/tags?post=2803"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}