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Numerical methods MDU btech syllabus with notes
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download notes here
S
ECTION-A


 Interpolation   and   curve   fitting  : DOWNLOAD HERE
  • Interpolation   problem,   
  • Lagrangian   polynomials,
  • Divided differences,
  • Interpolating with a cubic spline,
  • Bezier curves and B-spline curves,
  • Least square approximations.




Non-Linear Equations : DOWNLOAD HERE
  • Bisection   method, 
  • Linear Interpolation   methods,   
  • Newton's method,
  • Muller's method,
  • fixed-point method.





SECTION-B

Simultaneous Linear EquationsDOWNLOAD HERE
  • Elimination method,
  • Gauss and Gauss-Jordan method,
  • Jacobi's method,
  • Gauss-Seidal method,
  • Relaxation method.




Numerical Differentiation and Integration: Please upload
  • Derivatives   from   differences tables,
  • Higher order   derivatives,      
  • Extrapolation   techniques,   
  • Newton-cotes   integration   formula,
  • Trapezoidal   rule, 
  •  Simpson's   rules,   Boole's      rule   and   Weddle's   rule,   
  • Romberg's Integration.




SECTION--C


Numerical Solution of Ordinary Differential Equations : DOWNLOAD HERE
  • Taylor   series   method,   
  • Euler and   modified   Euler   method,  
  • Runge-Kutta      methods,   
  • Milne's   method,   
  • Adams- Moulton   method,
  • Power method for Eigen values by iteration.




Roots of equation;
  • Graphical methods,
  • Newton Raphsons methods,
  • Soulation of ordinary differential equation by Runga Kutta Method.
  • Solution of linear aligebraic equations by Relaxation Methods




SECTION-D (Please UPLOAD)

Numerial Solution of Partial Differential Equations :
  • Finite  difference   approximations of  partial  derivatives,
  • solution  of  Laplace equation (Standard 5-point  formula  only),
  • one-dimensional  heat  equation (Schmidt  method,  
  • Crank-Nicolson method,
  • Dufort and Frankel method) and wave equation.




Numerical Interpolation;
  • Linear and Lagrangian Interpolation .
  • Numerical intergration.
  • Trapezoidal andSimpson,s Rule.
  • Curve fitting.
  • Linear and polynomial regression.




 TEXT BOOKS :

1.    Applied  Numerical Analysis : Curtis F. Gerald and  Patrick  G. Wheatley-Pearson, Education Ltd.
2.   Numerical Method : E. Balagurusamy T.M.H.
 

REFERENCE BOOKS :

1.    Numerical   Methods for Scientific and Engg. Computations   : M.K. Jain,      .R.K. Iyenger and R.K. Jain-Wiley Eastern Ltd.
2.   Introductory Methods of Numerical Analysis S.S. Sastry,P.H.I.
3.   Numerical Methods in Engg. & Science : B.S. Grewal.

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