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Computer Oriented Numerical Methods

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Course Name        BCA (Bachelor of Computer Application)

Subject Code       BC0043 (Computer Oriented Numerical Methods)

Get Questions        PART - A    PART - B    PART - C

Computer Oriented Numerical Methods Syllabus.

Unit 1- Errors and Computation
Introduction; Mathematical Preliminaries; Significant digits or Significant figures; Errors and their computations; Absolute, Relative and Percentage errors; Summary

Unit 2 - Solution of Algebraic and Transcendental Equations
Introduction; Graphical and Analytical Methods; Interval Halving Method; Regula- Falsi Method; Successive Approximation Method; Newton – Raphson Method;
Ramanujan’s Method; Summary

Unit 3-Matrices and Solutions of Systems of Linear Equations-Direct Methods
Introduction; Matrices; Operations on Matrices; Determinants; Rank of a Matrix; Existence of Solution of systems of linear equations; Direct Methods

Unit 4 - Solutions of System of Linear Equations – Iterative Methods
Introduction; Gauss - Jacobi Method; Gauss Seidel Method; Eigen Values and Eigen Vectors; Power Method

Unit 5- Curve Fitting
Introduction; Graphical Method (Linear Law); Method of Group Averages; Method of Least Squares; Method of Moments

Unit 6- Interpolation
Introduction; Finite Differences; Newton’s Forward Difference Interpolation Formula; Newton’s Backward Difference Interpolation Formula; Lagrange’s Interpolation; Formula; Divided differences

Unit 7 - Numerical Differentiation
Introduction; Differentiation using Newton’s Formulae; Derivatives using Newton’s General Interpolation Formula; Difference Equations

Unit 8- Numerical Integration
Introduction; Trapezoidal Rule; Simpson’s one third rule; Simpson’s three eighth rules

Unit 9 - Numerical Solution of Ordinary Differential Equations
Introduction; Initial Value Problems; Taylor’s series method; Euler’s method; Modified Euler’s method; Runge-Kutta method

Unit 10- Boundary Value Problems
Introduction; Method of Finite Differences solving BVP; Solving of Laplace’s and Poisson’s Equations

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