{"id":11125,"date":"2020-02-21T16:40:40","date_gmt":"2020-02-21T16:40:40","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/15sc01m-engineering-mathematics-i-metallurgy-1st-sem-syllabus-for-diploma-dte-karnataka-c15-scheme\/"},"modified":"2020-02-21T16:40:40","modified_gmt":"2020-02-21T16:40:40","slug":"15sc01m-engineering-mathematics-i-metallurgy-1st-sem-syllabus-for-diploma-dte-karnataka-c15-scheme","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/15sc01m-engineering-mathematics-i-metallurgy-1st-sem-syllabus-for-diploma-dte-karnataka-c15-scheme\/","title":{"rendered":"15SC01M: Engineering Mathematics-I Metallurgy 1st Sem Syllabus for Diploma DTE Karnataka C15 Scheme"},"content":{"rendered":"

Engineering Mathematics-I detail DTE Kar Diploma syllabus for Metallurgy Engineering (MT), C15 scheme is extracted from DTE Karnataka<\/a> official website and presented for diploma students. The course code (15SC01M), 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 metallurgy 1st sem syllabus for diploma c15 scheme dte karnataka you can visit Metallurgy 1st Sem Syllabus for Diploma C15 Scheme DTE Karnataka Subjects<\/a>. The detail syllabus for engineering mathematics-i is as follows.<\/p>\n

Pre-requisites:<\/h4>\n

Basics in Algebra, Trigonometry and Coordinate Geometry in Secondary Education.\n<\/p>\n

Course Objectives:<\/h4>\n
    \n
  1. Apply the concept of matrices and determinants and their applications to solve the linear equation in engineering field.<\/li>\n
  2. Apply the vector algebra in solving the problems of statics and mechanics.<\/li>\n
  3. Analyse the civil engineering problems using concepts of probability.<\/li>\n
  4. Evaluate the advanced engineering mathematical problems using logarithms.<\/li>\n
  5. Apply and evaluate trigonometric concept in vector engineering field.<\/li>\n
  6. Create the basic concept of calculus.<\/li>\n<\/ol>\n

    UNIT-1: MATRICES AND DETERMINANTS<\/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

    UNITS-2: VECTORS
    \n<\/h4>\n

    Definition of vector. Representation of vector as a directed line segment. Magnitude of a vector. Types of vectors. Position vector. Expression of vector by means of position vectors. Addition and subtraction of vectors in terms of line segment. Vector in plane and vector in a space in terms of unit vector i, j and k respectively. Product of vectors. Scalar product and vector product of two vectors. Geometrical meaning of scalar and vector product. Applications of dot (scalar) and cross (vector) products. Projection of a vector on another vector. Area of parallelogram and area of triangle. Work done by force and moment of force.\n<\/p>\n

    UNITS-3: PROBABILITY AND LOGARITHMS
    \n<\/h4>\n
      \n
    1. Probability:\tIntroduction. Random experiments: outcomes and sample space. Event: Definition, occurrence of an event, types of events. Algebra of events- complementary event, the events A or B, A and B, A but not B, mutually exclusive events, exhaustive events, defining probability of an event. Addition rule of probability. Conditional probability: definition, properties of conditional probability, simple problems.\t06<\/li>\n
    2. Logarithms: Definition of common and natural logarithms. Laws of logarithms (no proof). Simple problems on laws of logarithms.\t02<\/li>\n<\/ol>\n

      UNIT-4: ALLIED ANGLES AND COMPOUND ANGLES<\/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:COMPLEX NUMBERS
      \n<\/h4>\n

      Meaning of imaginary number i and its value. Definition of complex number in the form of a + ib. Argand diagram of complex numbera + ib (Cartesian system). Equality of complex numbers. Conjugate of complex number. Algebra of complex numbers, modulus of complex number, principal value of argument of complex number, polar form: Z = r(cos theta + i sin theta) and exponential form Z = re^ie of complex number, where r is modulus and theta is principal value of argument of complex number.\n<\/p>\n

      UNIT-6: INTRODUCTION TO CALCULUS
      \n<\/h4>\n

      Limits: Constants and variables. Definition of function. Types of functions: Explicit and implicit function, odd and even functions(definition with example). Concept of x to a Definition of limit of a function. Indeterminate forms. Evaluation of limit of functions by factorization, rationalization. Algebraic limits. Follow the rest from the pdf file.\n<\/p>\n

      Course Outcomes:<\/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

      Reference Books:<\/h4>\n
        \n
      1. NCERT Mathematics Text books of class XI and XII.<\/li>\n
      2. CBSE Class Xi & XII by Khattar&Khattar published PHI Learning Pvt. ltd.,<\/li>\n
      3. First and Second PUC mathematics Text Books of different authors.<\/li>\n
      4. www.freebookcentre.net\/mathematics\/introductory-mathematics -books.html<\/li>\n<\/ol>\n

        Model Question Paper:<\/h4>\n

        Follow the text from pdf file.\n<\/p>\n

        For detail syllabus of all other subjects of BE Metallurgy, C15 scheme do visit Metallurgy 1st 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-I detail DTE Kar Diploma syllabus for Metallurgy Engineering (MT), C15 scheme is extracted from DTE Karnataka official website and presented for diploma students. The course code (15SC01M), and […]<\/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":[2,76],"tags":[],"class_list":["post-11125","post","type-post","status-publish","format-standard","hentry","category-1st-sem","category-metallurgy-diploma"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/11125","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=11125"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/11125\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=11125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=11125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=11125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}