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 3Matrices and Solutions of Systems of Linear EquationsDirect
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; RungeKutta method
Unit 10 Boundary Value Problems
Introduction; Method of Finite Differences solving BVP; Solving of Laplace’s
and Poisson’s Equations
