Exam Details

Subject Computer Oriented Numerical Techniques
Paper
Exam / Course Bachelor of Computer Applications
Department School of Computer and Information Sciences (SOCIS)
Organization indira gandhi national open university
Position
Exam Date December, 2016
City, State new delhi,


Question Paper

If 0·667 is the approximate value of 2/3,find the absolute, relative, and percentage errors.

Using bisection method, find a real root of the equation x^3 5x 1 correct to two decimal places.

Find the root of the equation xe^x cos x using the Regula-Falsi method, correct to four decimal places.

Apply Newton-Raphson method to find an approximate root, correct to three decimal places, of the equation x sin x 0

By the fixed point iteration process, find the root, correct to three decimal places, of the equation x cos x near .

Solve the following set of simultaneous equations by Cramer's rule

x1 2x2 — 3x3 — 4

2x1 — 3x2 x3 1

3x1 — 5x2 4x3 5

Find the root of the equation e^x x 2 using bisection method, correct to three decimal places.

By using the Regula-Falsi method find the root, correct to three decimal places, of the following equation over the indicated interval

xe^x 3 over

Find the cube root of correct to three decimal places, by using any suitable numerical method.

Using Newton-Raphson method, find the real root of the equation x tan x 1·28, correct to three decimal places.

Solve the following algebraic equations by using Gauss' elimination method:

x y z 6

3x 3y 4z 20

2x Y 3z 13

Solve the following simultaneous equations by using Gauss-Jordan method

5x -2y 3z 18

x 7y -3z -22

2x y 6z 22

Solve the following simultaneous equations

x y z 3

2x y 3z 16

3x z

Use Jacobi's iteration method to solve the following system of equations

20x y 2z 17

3x 20y -18

2x 3y 20z 25

Solve dy/dt y^2 given boundary conditions y l at t 0. Find approximately the value of y for t 1 by Euler's method in five steps.

Prove that

<img src='./qimages/7790-5a.jpg'>

"Use Lagrange's interpolation formula to compute from the given data:

<img src='./qimages/7790-5b.jpg'>

Use Runge-Kutta method to aproximate whenx 0·1 and x 0·2,given that x when y 1 and dy/dx x y.


Departments

  • Centre for Corporate Education, Training & Consultancy (CCETC)
  • Centre for Corporate Education, Training & Consultancy (CCETC)
  • National Centre for Disability Studies (NCDS)
  • School of Agriculture (SOA)
  • School of Computer and Information Sciences (SOCIS)
  • School of Continuing Education (SOCE)
  • School of Education (SOE)
  • School of Engineering & Technology (SOET)
  • School of Extension and Development Studies (SOEDS)
  • School of Foreign Languages (SOFL)
  • School of Gender Development Studies(SOGDS)
  • School of Health Science (SOHS)
  • School of Humanities (SOH)
  • School of Interdisciplinary and Trans-Disciplinary Studies (SOITDS)
  • School of Journalism and New Media Studies (SOJNMS)
  • School of Law (SOL)
  • School of Management Studies (SOMS)
  • School of Performing Arts and Visual Arts (SOPVA)
  • School of Performing Arts and Visual Arts(SOPVA)
  • School of Sciences (SOS)
  • School of Social Sciences (SOSS)
  • School of Social Work (SOSW)
  • School of Tourism & Hospitality Service Sectoral SOMS (SOTHSM)
  • School of Tourism &Hospitality Service Sectoral SOMS (SOTHSSM)
  • School of Translation Studies and Training (SOTST)
  • School of Vocational Education and Training (SOVET)
  • Staff Training & Research in Distance Education (STRIDE)

Subjects

  • ANALYSIS AND DESIGN OF ALGORITHM
  • Basics Mathematics
  • BUSINESS COMMUNICATION
  • C' Programming and Data Structure
  • C++ and Object Oriented Programming
  • Computer Basics and PC Software
  • Computer Fundamentals and PC Software
  • Computer Networks
  • COMPUTER ORIENTED NUMERICAL TECHNIQUES
  • E-COMMERCE
  • Foundation Course in English for Computing
  • Foundation Course in Mathematics in Computing
  • FUNDAMENTAL OF COMPUTER NETWORKS
  • Intranet Administration
  • Introduction to Computer Organisation
  • Introduction to Internet Programming
  • INTRODUCTION TO SOFTWARE ENGINEERING
  • Introduction to System Software
  • Multimedia
  • NETWORK PROGRAMMING AND ADMINISTRATION
  • PC Software Skills
  • Programming In C++
  • STATISTICAL TECHNIQUES
  • TCP/IP PROGRAMMING
  • Theory of Computer Science
  • WEB PROGRAMMING