Top banner

Tuesday, December 29, 2009

Computational Mathematics

Introduction  to  Errors  in  Numerical  Calculations:  -  Absolute  Error,  Relative  Error,
Percentage  Error.  Solution  to  Algebraic  and  Transcendental  Equation:  -  Bisection
Method,  the  Method  of  False  Position,  Newton-Raphson  Method.  Interpolation:  -
Forward    Difference,    Backward    Difference,    Newtons    Forward    Difference
Interpolation, Newtons Backward Difference Interpolation, Lagranges Interpolation.
Least-   Square   Curve   fitting:   -   Fitting   a   straight   line,   Parabola.   Solution   of
simultaneous  algebraic  equations  (linear):  -  Cramers  Rule,  Gauss  Elimination
Method,  Gauss  Elimination  with  partial  pivoting,  Gauss-Jordan  Method,  Gauss-
Seidel Method. Numerical solution of 1st and 2nd order differential equations: - Taylor
series, Eulers Method, Modified Eulers Method, Runge-Kutta Method for 1st and 2nd
Order  Differential  Equation,  Picards  Method.  Numerical  integration:  -  Trapezoidal
Rule,  Simpsons  1/3  Rule,  Simpsons  3/8  Rule,  Linear  Programming:  -  Linear
Programming   Model   and   their   Graphical   Solutions.   Transportation   problems
PERT/CPM.

1 comment:

  1. Are this important topics or the whole syllabus of CM??

    And can you post some question papers for CM.

    Thanks In Advance.
    Mahesh

    ReplyDelete