# GTU Computer Oriented Numerical Techniques Syllabus

**GUJARAT TECHNOLOGICAL UNIVERSITY**

**B.E Semester: 3**

**Chemical Engineering**

**Subject Code 130503**

**Subject Name Computer Oriented Numerical Techniques**

Sr.No Course contents

1 Iterative Methods

Bisection, False Position, Secant, Newton-Raphson Method Iterative

Method (Including Extended), Newton-Raphson Method For Non Linear

Equations In Two Variables, Convergence Of Iterative Methods, algorithms

& Computer programming for all these Methods, Polynomial Equations,

Descartes Rule Of Sign.

2 Finite Differences And Interpolation

Finite Differences: Forward, Backward And Divided Differences. Differences

Table, Newton’s Forward, Backward And Divided Differences Interpolation

Formula. Lagrange Interpolation Formula, Inverse Interpolation, Error

Propagation In Difference Table, Estimate Of Errors In Interpolation,

Computer programming of the same

3 Curve Fitting And Method Of Least Squares

Method Of Least Squares, Fitting A Straight Line And Polynomial Fitting A

Non- Linear, Function: Fitting A Geometric And Exponential Curve, Fitting A

Hyperbola At Fitting A. Trigonometric Function. Approximation Of Function

By Taylor Series And Chebyshev Polynomials, Computer programming of

curve fitting methods

4 Numerical Differentiation And Integration.

Differentiation Formula Based On Functions Tabulator At Equal And

Unequal Intervals Newton-Cotes Integration Formulae: Trapezoidal Rule,

Simpson’s 1/3 And 3/8th Rule, algorithms & Computer programming for all

these Methods,

5 Solution of Simultaneous Linear Equation:

Solution Of Systems Of Linear Equations : Gauss Elimination Maths Pivots,

Ill Conditions Equations, Gauss- Seidal And Gauss Jacobi Iterative

Methods, computer programming of the same.

6 Numerical Solution Of Ordinary Differential Equation

Taylor Series And Euler’s Methods, Rangekutta Method Of 4th Order,

Milnes’s Predictor – Corrector Methods,. Algorithms & Computer

programming for all these Methods

Reference Books:

1. Computer Oriented Numerical Methods – By V Rajaraman , Prentice – Hall of

India , Delhi

2. Introduction to Numerical Analysis – By S. S. Sastry – PHI , Delhi

3. Numerical Methods for Scientific & Engineering Computation -By M. K . Jain

, S.R.K. Lyenger , R. K. Jain Wiley Eastern Ltd.

4. A test book on Computational Methods – By Br. G. T. Kochav – Nirali

Prakashan , Pune