{"id":26506,"date":"2020-07-24T01:04:47","date_gmt":"2020-07-24T01:04:47","guid":{"rendered":"https:\/\/www.inspirenignite.com\/jntuh\/18met102f-basic-engineering-mathematics-syllabus-for-metallurgical-engineering-1st-sem-c18-curriculum-tssbtet\/"},"modified":"2021-10-27T19:54:05","modified_gmt":"2021-10-27T19:54:05","slug":"18met102f-basic-engineering-mathematics-syllabus-for-metallurgical-engineering-1st-sem-c18-curriculum-tssbtet","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/18met102f-basic-engineering-mathematics-syllabus-for-metallurgical-engineering-1st-sem-c18-curriculum-tssbtet\/","title":{"rendered":"18MET-102F: Basic Engineering Mathematics Syllabus for Metallurgical Engineering 1st Sem C18 Curriculum TSSBTET"},"content":{"rendered":"

Basic Engineering Mathematics detailed Syllabus for Metallurgical Engineering (DMET), C18 curriculum has been taken from the 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

For all other Diploma in Metallurgical Engineering (DMET) Syllabus for 1st Sem C18 Curriculum TSSBTET, do visit Diploma in Metallurgical Engineering (DMET) Syllabus for 1st Sem C18 Curriculum TSSBTET Subjects<\/a>. The detailed Syllabus for basic engineering mathematics is as follows. <\/p>\n

Prerequisites:<\/h4>\n

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
\"Get<\/a>. <\/p>\n

Course Outcome:<\/h4>\n

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    \n
  1. Solve the problems on Logarithms<\/li>\n
  2. Resolve a given fraction into Partial Fractions<\/li>\n
  3. Find the Sum , Product of Matrices , Value of the determinant and Inverse of a Matrix .<\/li>\n
  4. Solve simple problems using concepts of Trigonometric Functions<\/li>\n
  5. Solve simultaneous Linear Equations using Matrices and Determinants<\/li>\n
  6. Solve a Triangle and an Inverse Trigonometric Equation .<\/li>\n<\/ol>\n

    Unit-I Algebra<\/h4>\n

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      \n
    1. Logarithms:Definition of logarithm and its properties, natural and common logarithms; the meaning of e and exponential function, logarithm as a function and its graphical representation – Solve some simple problems.<\/li>\n
    2. Partial Fractions:Rational, proper and improper fractions of polynomials. Resolving rational fractions in to their partial fractions covering the types mentioned below:\n
        \n
      1. f(x) \/ (x + a)(x + b)(x + c)<\/li>\n
      2. f(x) \/ (x + a)^2(x + b)(x + c)<\/li>\n
      3. f(x) \/ (x^2 + a)(x + b)<\/li>\n
      4. f(x) \/ (x + a)(x^2 + b)^2<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

        Unit II<\/h4>\n

        For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
        It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
        \"Get<\/a>. <\/p>\n

        Unit-III Trigonometry<\/h4>\n

        \n

          \n
        1. Compound angles: Formulae of Sin (A+-B), Cos (A+-B), Tan (A+-B), Cot(A+-B), and related identities with problems – Derive the values of sin15degree, cos15degree , sin75degree , cos75degree , tan 15degree , tan75degree etc.-Derive identities like sin(A+B) sin(A-B) = sin^2.A -sin^2.B etc.,<\/li>\n
        2. Multiple and sub multiple angles:Trigonometric ratios of multiple angles 2A,3A and submultiples angle A\/2 with problems – Derive useful allied formulas likeSin^2.A = ( (1-Cos2A) \/ 2 ) etc., – Solve simple problems using the above formulae<\/li>\n<\/ol>\n

          Unit IV<\/h4>\n

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          1. Properties of triangles: Statements of Sine rule, Cosine rule, Tangent rule and Projection rule<\/li>\n
          2. Hyperbolic functions: Definitions of hyperbolic functions – Sinh x, coshx ,tanh x etc., -identities of hyperbolic functions, inverse hyperbolic functions and expression of inverse hyperbolic functions in terms of logarithms.<\/li>\n
          3. Complex Numbers: Definition of a complex number, Modulus and conjugate of a complex number, Arithmetic operations on complex numbers, Modulus- Amplitude (polar) form, Exponential (Euler) form of a complex number.<\/li>\n<\/ol>\n

            Unit V Algebra & Trigonometry<\/h4>\n

            For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
            It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
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            Unit VI<\/h4>\n

            \n

              \n
            1. Solution of Simultaneous equations using Matrices & Determinants.: System of linear equations in 3 Variables-Solutions by Cramers rule, Matrix inversion method -Examples- Elementary row operations on Matrices -Gauss-Jordan method to solve a system of equations in 3 unknowns .<\/li>\n
            2. Solutions of triangles: Solve a triangle when\n
                \n
              1. three sides (SSS)<\/li>\n
              2. two sides and an Included angle (SAS)<\/li>\n
              3. one side and two angles are given (SAA) – Simple problems.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                References:<\/h4>\n

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                  \n
                1. Text Book of Matrices – by Shanthi Narayan<\/li>\n
                2. Plane Trigonometry – by S.L.Loney<\/li>\n
                3. NCERT Mathematics Text Books Of Class XI , XII .<\/li>\n
                4. Intermediate Mathematics Text Books ( Telugu Academy )<\/li>\n<\/ol>\n

                  Suggested E-Learning<\/h4>\n

                  For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App<\/a>
                  It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.<\/b>
                  \"Get<\/a>. <\/p>\n

                  Course Outcome:<\/h4>\n

                  \nAlgebra<\/p>\n

                  Unit – I<\/h4>\n

                  \n

                  Use Logarithms in Engineering Calculations<\/strong>\n <\/p>\n