Computer Oriented Numerical Methods (Using “C” Language) [BCA -602] Syllabus BCA 6th-VI Sem Syllabus for DAVV Indore Affiliated Institutions

DEVI AHILYA VISHWAVIDYALAYA (DAVV), INDORE

Bachelor Of Computer Applications (BCA) (Full-Time) 
Sixth-6th-VI Semester Curriculum/ Syllabus 2011-12 Academic Year Onwards

Mathematics – Syllabus 

Computer Oriented Numerical Methods (Using “C” Language) [BCA – 602] Syllabus /Course contents

Max.Marks:50    Min.Marks:17

UNIT –I

Numerical Computations :

Computer Arithmetic : Floating Point Number Operations, Normalization and their consequences.

Iterative Methods : Bisection Methods, False Position Methods, Newton Raphson Method, Secant Method, Graffes Root Squaring Method, Convergence of Solution

UNIT –II

Simultaneous Liner Equation : Solution of Simultaneous Liner Equation – Gauss Elimination Method, Gauss – Seidal Method, Gauss – Jordan Elimination Method, Triangularization Method & Pivoting Condensation, III Conditioned Equation & Refinement of solution

Curve Fitting : Curve Fitting Method, Least Curve Fitting, Non Linear Curve Fitting.

UNIT-III

Difference Operators And Interpolation : - Definition Of Forward, Backward, Shifting, Divided, Difference Central and Averaging Operators and their Relationships. Newton’s Forward Interpolation Formula, Newton’s backward Interpolation Formula Newton’s divided Interpolation Formula. Lagrange’s Interpolation Formula.

UNIT – IV

Numerical Differentiation : Numerical Differentiation using Newton’s Forward Interpolation Formula, Newton’s Backward Interpolation Formula Newton’s divided Interpolation Formula.

Numerical Integration : General Quadrature Formula, Newton- Cote’s Formula, Trapezoidal Rule, Simpson’s one Third Rule, Simpson’s Three Eight Rule.

UNIT – V

Numerical Solutions of Ordinary Differential Equations : Euler’s Method , Euler’s Modifies Method. Tailor’s Series Method, Picard’s Method, Runga Kutta Second Order and Fourth order Method.

Text Book:

V. Rajaraman, Computer Oriented Numerical Methods, Prentice Hall, India.

Reference Books:

1. S. S. Sastry, Introductory Methods of Numerical Analysis.  M. K. Jain, S.R.K. Iyengar & R. K. Jain, Numerical Methods for Scientific and Engineering Computation.

2. H. C. Saxena, Finite Differences and Numerical Analysis.

3. Modes A., Numerical Analysis for Computer Science.

4. Numerical Analysis by gupta and malik . (TEXT)

5. Numerical Analysis by Shastri

6. Computer based Numerical Algorithm by Krishnamurthy.

Objective : To Introduce the concept of computer oriented numerical methods.

Examination : The internal examination will be of 50 marks. The question paper will contain questions equally distributed in all units. The balance of will be maintained by includingappropriate(numerical/objective/conceptual/analytical/theoretical) combination of subsection in each question