{"id":10323,"date":"2020-02-21T16:19:56","date_gmt":"2020-02-21T16:19:56","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/15sc02m-engineering-mathematics-ii-public-health-2nd-sem-syllabus-for-diploma-dte-karnataka-c15-scheme\/"},"modified":"2020-02-21T16:19:56","modified_gmt":"2020-02-21T16:19:56","slug":"15sc02m-engineering-mathematics-ii-public-health-2nd-sem-syllabus-for-diploma-dte-karnataka-c15-scheme","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/15sc02m-engineering-mathematics-ii-public-health-2nd-sem-syllabus-for-diploma-dte-karnataka-c15-scheme\/","title":{"rendered":"15SC02M: Engineering Mathematics – II Public Health 2nd Sem Syllabus for Diploma DTE Karnataka C15 Scheme"},"content":{"rendered":"

Engineering Mathematics – II detail DTE Kar Diploma syllabus for Civil Engineering (Public Health Engg) (PH), C15 scheme is extracted from DTE Karnataka<\/a> official website and presented for diploma students. The course code (15SC02M), and for exam duration, Teaching Hr\/week, Practical Hr\/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.<\/p>\n

For all other public health 2nd sem syllabus for diploma c15 scheme dte karnataka you can visit Public Health 2nd Sem Syllabus for Diploma C15 Scheme DTE Karnataka Subjects<\/a>. The detail syllabus for engineering mathematics – ii is as follows.<\/p>\n

Pre-requisites:<\/h4>\n

Engineering Mathematics-I, in First Semester Diploma curriculum.\n<\/p>\n

Course Objectives:<\/h4>\n
    \n
  1. Apply the concept of straight line and conic section in engineering field.<\/li>\n
  2. Determine derivatives of functions involving two variables.<\/li>\n
  3. Apply the concepts of differentiation in physics and engineering courses.<\/li>\n
  4. Evaluate the integrals of functions of two variables.<\/li>\n
  5. Apply the concepts of definite integrals and its application over a region.<\/li>\n
  6. Solve the ODE of first degree, first order in engineering field.<\/li>\n<\/ol>\n

    Unit-1: COORDINATE GEOMETRY 08hr<\/p>\n

    For complete syllabus and results, class timetable and more pls download iStudy Syllabus App<\/a>.<\/b> Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n

    UNIT – 2: DIFFERENTIAL CALCULUS 15hr
    \n<\/h4>\n

    Differentiation. Definition of increment and increment ratio. Definition of derivative of a function. Derivatives of functions ofxn, sinx, cosxand tanxwith respect to \u00e2\u20ac\u02dcx\u00e2\u20ac\u2122 from first principle method. List of standard derivatives of cosecx, secx, cotx, loge x, ax, ex etc. Rules of differentiation: Sum, product, quotient rule and problems on rules. Derivatives of function of a function (Chain rule) and problems. Inverse trigonometric functions and their derivatives. Derivative of Hyperbolic functions, Implicit functions, Parametric functions and problems. Logarithmic differentiation of functions of the type uv,where u and v are functions of x.Problems. Successive differentiation up to second order and problems on all the above types of functions.\n<\/p>\n

    UNIT – 3: APPLICATIONS OF DIFFERENTIATION. 07hr
    \n<\/h4>\n

    Geometrical meaning of derivative. Derivative as slope. Equations of tangent and normal to the curve y = ‘f(x)’ at a given point- (statement only). Derivative as a rate measure i.e.to find the rate of change of displacement, velocity, radius, area, volume using differentiation. Definition of increasing and decreasing function. Maxima and minima of a function.\n<\/p>\n

    UNIT-4: INTEGRAL CALCULUS. 12hr 30<\/p>\n

    For complete syllabus and results, class timetable and more pls download iStudy Syllabus App<\/a>.<\/b> Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n

    UNIT – 5: DEFINITE INTEGRALS AND ITS APPLICATIONS 05 hr
    \n<\/h4>\n

    Definition of Definite integral. Problems on all types of integration methods. Area, volume, centres of gravity and moment of inertia by integration method. Simple problems.\n<\/p>\n

    UNIT – 6: DIFFERENTIAL EQUATIONS. 05 hr
    \n<\/h4>\n

    Definition, example, order and degree of differential equation with examples. Formation of differential equation by eliminating arbitrary constants up to second order. Solution of O. D. E of first degree and first order by variable separable method. Linear differential equations and its solution using integrating factor.\n<\/p>\n

    Course Delivery:<\/h4>\n

    For complete syllabus and results, class timetable and more pls download iStudy Syllabus App<\/a>.<\/b> Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n

    Course Outcomes:<\/h4>\n

    On successful completion of the course, the student will be able to:<\/p>\n

      \n
    1. Formulate the equation of straight lines and conic sections in different forms.<\/li>\n
    2. Determine the derivatives of different types of functions.<\/li>\n
    3. Evaluate the successive derivative of functions and its application in tangent, normal, rate measure, maxima and minima.<\/li>\n
    4. Evaluate the integrations of algebraic, trigonometric and exponential function.<\/li>\n
    5. Calculate the area under the curve, volume by revolution, centre of gravity and radius of gyration using definite integration.<\/li>\n
    6. Form and solve ordinary differential equations by variable separable method and linear differential equations.<\/li>\n<\/ol>\n

      Reference Books:<\/h4>\n
        \n
      1. NCERT Mathematics Text books of class XI and XII.<\/li>\n
      2. Higher Engineering Mathematics by B.S Grewal, Khanna publishers, New Delhi.<\/li>\n
      3. CBSE Class Xi & XIIby Khattar & Khattar published PHI Learning Pvt. ltd.,<\/li>\n
      4. First and Second PUC mathematics Text Books of different authors.<\/li>\n
      5. E-books: www.mathebook.net<\/li>\n
      6. www.freebookcentre.net\/mathematics\/ introductory-mathematics -books.html<\/li>\n<\/ol>\n

        Model Question Paper:<\/h4>\n

        Refer from the pdf file\n<\/p>\n

        For detail syllabus of all other subjects of BE Public Health, C15 scheme do visit Public Health 2nd Sem syllabus for C15 scheme<\/a>.<\/p>\n

        Dont forget to download iStudy Syllabus App<\/a> for latest syllabus and results, class timetable and more.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Engineering Mathematics – II detail DTE Kar Diploma syllabus for Civil Engineering (Public Health Engg) (PH), C15 scheme is extracted from DTE Karnataka official website and presented for diploma students. […]<\/p>\n","protected":false},"author":2298,"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":[3,60],"tags":[],"class_list":["post-10323","post","type-post","status-publish","format-standard","hentry","category-2nd-sem","category-public-health-engg-diploma"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/10323","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/users\/2298"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/comments?post=10323"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/10323\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=10323"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=10323"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=10323"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}