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mg university btech ece syllabus new scheme full s3 s4 s5 s6 s7 s8

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    EN010301A ENGINEERING MATHEMATICS II
     (Common to all branches except CS & IT)


    Objectives
    • To apply standard methods and basic numerical techniques for solving problems and to
    know the importance of learning theories in Mathematics.
    MODULE 1 Vector differential calculus ( 12 hours)
     Scalar and vector fields – gradient-physical meaning- directional derivative-divergence an
    curl - physical meaning-scalar potential conservative field- identities - simple problems
    MODULE 2 Vector integral calculus ( 12 hours)
     Line integral - work done by a force along a path-surface and volume integral-application
    of Greens theorem, Stokes theorem and Gauss divergence theorem
    MODULE 3 Finite differences ( 12 hours)
     Finite difference operators and - interpolation using Newtons forward and
    backward formula – problems using Stirlings formula, Lagrange’s formula and Newton’s divided
    difference formula
    MODULE 4 Difference Calculus ( 12 hours)
     Numerical differentiation using Newtons forward and backward formula – Numerical
    integration – Newton’s – cotes formula – Trapezoidal rule – Simpsons 1/3rd and 3/8th rule – Difference
    equations – solution of difference equation
    MODULE 5 Z transforms ( 12 hours)
     Definition of Z transforms – transform of polynomial function and trignometric
    functions – shifting property , convolution property - inverse transformation – solution of 1st and 2nd

    order difference equations with constant coifficients using Z transforms.
    Reference
    1. Erwin Kreyszing – Advance Engg. Mathematics – Wiley Eastern Ltd.
    2. B.S. Grewal – Higher Engg. Mathematics - Khanna Publishers
    3. B.V. Ramana - Higher Engg. Mathematics – McGraw Hill
    4. K Venkataraman- Numerical methods in science and Engg -National publishing co
    5. S.S Sastry - Introductory methods of Numerical Analysis -PHI
    6. T.Veerarajan and T.Ramachandran- Numerical Methods- McGraw Hill
    7. Babu Ram – Engg. Mathematics -Pearson.
    8. H.C.Taneja Advanced Engg. Mathematics Vol I – I.K.International


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