{"id":1233,"date":"2016-06-13T19:24:05","date_gmt":"2016-06-13T19:24:05","guid":{"rendered":"http:\/\/www.inspirenignite.com\/jntuh\/?p=1233"},"modified":"2019-07-13T14:51:58","modified_gmt":"2019-07-13T14:51:58","slug":"jntuh-b-tech-2nd-year-1-sem-petroleum-engineering-2-1-mathematics-ii-engineering-r13","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/jntuh-b-tech-2nd-year-1-sem-petroleum-engineering-2-1-mathematics-ii-engineering-r13\/","title":{"rendered":"JNTUH B.Tech 2nd Year 1 sem Petroleum Engineering (2-1) Mathematics – II Engineering R13."},"content":{"rendered":"

JNTUH B.Tech 2nd year Mathematics – II gives you detail Mathematics – II Engineering R13 year subject. It will be help full you to understand you complete curriculum of the year.<\/p>\n

Objectives<\/strong><\/p>\n

    \n
  1. The objective is to find the relation between the variables x and y out of the given data (x,y).<\/li>\n
  2. This unit also aims to find such relationships which exactly pass through data or approximately satisfy\u00a0the data under the condition of least sum of squares of errors.<\/li>\n
  3. The aim of numerical methods is to provide systematic methods for solving problems in a numerical\u00a0form using the given initial data.<\/li>\n
  4. This topic deals with methods to find roots of an equation and solving a differential equation.<\/li>\n
  5. The numerical methods are important because finding an analytical procedure to solve an equation may\u00a0not be always available.<\/li>\n
  6. In the diverse fields like electrical circuits, electronic communication, mechanical vibration and structural\u00a0engineering, periodic functions naturally occur and hence their properties are very much required.<\/li>\n
  7. Indeed, any periodic and non-periodic function can be best analyzed in one way by Fourier series and\u00a0transforms methods.<\/li>\n
  8. The unit aims at forming a partial differential equation (PDE) for a function with many variables and their\u00a0solution methods. Two important methods for first order PDE\u2019s are learnt. While separation of variables\u00a0technique is learnt for typical second order PDE\u2019s such as Wave, Heat and Laplace equations.<\/li>\n
  9. In many Engineering fields the physical quantities involved are vector-valued functions.<\/li>\n
  10. Hence the unit aims at the basic properties of vector-valued functions and their applications to line\u00a0integrals, surface integrals and volume integrals.<\/li>\n<\/ol>\n

    UNIT \u2013 I<\/strong><\/p>\n

    Vector Calculus: Vector Calculus: Scalar point function and vector point function, Gradient- Divergence- Curl\u00a0and their related properties. Solenoidal and irrotational vectors \u2013 finding the Potential function. Laplacian\u00a0operator. Line integral \u2013 work done \u2013 Surface integrals -Volume integral. Green\u2019s Theorem, Stoke\u2019s theorem and\u00a0Gauss\u2019s Divergence Theorems (Statement & their Verification).<\/p>\n

    UNIT \u2013 II<\/strong><\/p>\n

    Fourier series and Fourier Transforms: Definition of periodic function. Fourier expansion of periodic functions\u00a0in a given interval of length 2\uf070 . Determination of Fourier coefficients \u2013 Fourier series of even and odd functions\u00a0\u2013 Fourier series in an arbitrary interval \u2013 even and odd periodic continuation \u2013 Half-range Fourier sine and cosine\u00a0expansions.\u00a0Fourier integral theorem – Fourier sine and cosine integrals. Fourier transforms \u2013 Fourier sine and cosine\u00a0transforms \u2013 properties \u2013 inverse transforms \u2013 Finite Fourier transforms.<\/p>\n

    UNIT \u2013 III<\/strong><\/p>\n

    Interpolation and Curve fitting\u00a0Interpolation: Introduction- Errors in Polynomial Interpolation \u2013 Finite differences- Forward Differences Backward\u00a0differences \u2013Central differences \u2013 Symbolic relations of symbols. Difference expressions \u2013 Differences\u00a0of a polynomial-Newton\u2019s formulae for interpolation – Gauss Central Difference Formulae \u2013Interpolation with\u00a0unevenly spaced points-Lagrange\u2019s Interpolation formula.\u00a0Curve fitting: Fitting a straight line \u2013Second degree curve-exponential curve-power curve by method of least\u00a0squares.<\/p>\n

    Download iStudy Android App for complete\u00a0JNTUH syllabus, results, timetables and all other updates. There are no ads and no pdfs and will make your life way easier<\/b><\/span>.<\/b><\/a><\/em><\/p>\n

    TEXT BOOKS<\/strong><\/p>\n