A Text Book of Engineering Mathematics-Semester-V (CS & IT) By N.P.BALI, JAYASREE.T.G.

A Text Book of Engineering Mathematics-Semester-V (CS & IT) By N.P.BALI, JAYASREE.T.G.
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A Text Book of Engineering Mathematics-Semester-V (CS & IT) By N.P.BALI, JAYASREE.T.G.

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Publisher: Laxmi Publications
ISBN: 9789381159545
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Preface Syllabus
... ...
vii viii Pages
Module 1 Finite Differences........................................................................ 1 35 1.1. 1.2. 1.3. 1.4. 1.5. 1.5. 1.5. 1.6. 1.7. 1.8. 1.9. 1.9. 1.10. 1.11. 1.12. 1.12. 1.12. 1.12.
The Forward Difference Operator D ......................................................................................... 1 Differences of Factorial Polynomial ............................................................................... 5 Backward Difference Operator ................................................................................... 6 The Displacement or Shift Operator E ........................................................................ 6 a Relations Between D, and E .................................................................................. 7 b Other Operators ......................................................................................................... 9 c Relations Between the Operators ............................................................................. 9 Interpolation and Extrapolation .................................................................................. 13 Newton-Gregory Formulae for Equal Intervals .......................................................... 13 Lagrange s Formula for Unequal Intervals ................................................................. 17 a Divided Differences ................................................................................................. 21 b Newton s Divided Difference Formula is ................................................................ 22 Numerical Differentiation ............................................................................................ 23 Numerical Integration .................................................................................................. 29 a Newton-cote s Quadrature Formula ....................................................................... 30 b Trapezoidal Rule n 1 .......................................................................................... 30 c Simpson s One-Third Rule n 2 ........................................................................... 31 d Simpson s Three-Eighth Rule n 3 ...................................................................... 31
Module 2 Z-Transforms ............................................................................. 36 55 2.1.