BCA Syllabus – Computer Oriented Numerical Methods

4.3 Computer Oriented Numerical Methods

Second Year          Part III Group A              Fourth Semester                Subject Code:   

Unit - 1

Algebraic & Transcendental Equations: Errors in Numerical computation – Iteration method – Bisection method – Regula falsi method – Newton Raphson method.

Unit - 2

Simultaneous Equations: Gauss elimination method – Calculation of Inverse of a Matrix – Gauss seidel iteration method. Curve fitting: Method of Least squares.

Unit - 3

Interpolation: Newton’s interpolation formulae – Central difference interpolation formulae – Lagrange’s interpolation formula – Inverse interpolation.

Unit - 4

Numerical differentiation: Newton’s Forward and Backward difference formulae – Numerical Integration: Trapezoidal rule – Simpson’s rule.  Eigen values and Eigen vectors of a matrix.  

Unit - 5

Numerical solution of differential equations: Euler’s method – Taylor’s series method – Range-kutta methods. 

TEXT BOOK:

1. Numerical Methods by S. Arumugam & A. Thangapandi Issac, A. Somasundaram, Sci Tech Publication, Chennai, 2002.

Unit I: Chapters 3.0 – 3.5

Unit II: Chapters 4.3, 4.5, 4.8, 2.4

Unit III: Chapters 7.1 – 7.3, 7.6

Unit IV: Chapters 8.1, 8.2, 8.5, 5.1

Unit V: Chapters 10.1, 10.3, 10.4, 10.6