Numerical methods MDU btech syllabus with notes

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download notes here
SECTION-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 Equations:  DOWNLOAD 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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