Exam Details
| Subject | Bachelor Of Technology (Ce) | |
| Paper | ||
| Exam / Course | B.Tech Civi Engg. (BTCLEVI)/B.Tech Electronics And Communication Engg. (BTECVI) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | June, 2016 | |
| City, State | new delhi, |
Question Paper
What are the various sources of errors in numerical methods Explain the terms Significant digits and round-off errors.
1.(b) Using Bisection method, find a real root of x^2 x 7 correct to three decimal places.
2.(a) Find the real root of the equation x3-2x-5=0bymethodofFalsePosition, correct up to three decimal places.
2.(b) Using Newton-Raphson method, find the positive root of x^4 correct to three decimal places.
3. Use Gauss Elimination system of equations 2x y 10, 3x 2y 3z x 4y 9z 16 to solve the following
4. Solve the equations 2x 3y Z x 2y 3z 3x y 2z 8 by the method of LU Decomposition.
5. Values of x (in degrees) and sin x are given in the following table
x (in degrees) sinx
15 0.2588190
20 0.3420201
25 0·4226183
30 0.5
35 0.5735764
40 0.6427876
Determine the value of sin 38° using Newton's Backward Difference formula.
6. Determine the largest eigenvalue and corresponding eigenvector of the matrix using the power method A is
5 4
1 2
7. Apply Runge-Kutta fourth-order method, to find an approximate value of when x 0·2. Given that dy/dx y and y=0,when x=0.
8.(a) Evaluate <img src='./qimages/10940-8a.jpg'>
by using Trapezoidal Rule
8.(b) Evaluate <img src='./qimages/10940-8b.jpg'>
by using Simpson's 1/3 Rule
8.(c) Evaluate <img src='./qimages/10940-8c.jpg'>
by using Simpson's 3/8 Rule
9.(a) Discuss the salient features of standard form of linear programming problems with suitable examples.
9.(b) Explain the following terms: Fixed point numbers
(ii) Floating point numbers
10.(a) Explain the features of unimodal functions with suitable examples.
10.(b) Discuss the salient features of Fibonacci methods. What are the limitations of Fibonacci methods?
1.(b) Using Bisection method, find a real root of x^2 x 7 correct to three decimal places.
2.(a) Find the real root of the equation x3-2x-5=0bymethodofFalsePosition, correct up to three decimal places.
2.(b) Using Newton-Raphson method, find the positive root of x^4 correct to three decimal places.
3. Use Gauss Elimination system of equations 2x y 10, 3x 2y 3z x 4y 9z 16 to solve the following
4. Solve the equations 2x 3y Z x 2y 3z 3x y 2z 8 by the method of LU Decomposition.
5. Values of x (in degrees) and sin x are given in the following table
x (in degrees) sinx
15 0.2588190
20 0.3420201
25 0·4226183
30 0.5
35 0.5735764
40 0.6427876
Determine the value of sin 38° using Newton's Backward Difference formula.
6. Determine the largest eigenvalue and corresponding eigenvector of the matrix using the power method A is
5 4
1 2
7. Apply Runge-Kutta fourth-order method, to find an approximate value of when x 0·2. Given that dy/dx y and y=0,when x=0.
8.(a) Evaluate <img src='./qimages/10940-8a.jpg'>
by using Trapezoidal Rule
8.(b) Evaluate <img src='./qimages/10940-8b.jpg'>
by using Simpson's 1/3 Rule
8.(c) Evaluate <img src='./qimages/10940-8c.jpg'>
by using Simpson's 3/8 Rule
9.(a) Discuss the salient features of standard form of linear programming problems with suitable examples.
9.(b) Explain the following terms: Fixed point numbers
(ii) Floating point numbers
10.(a) Explain the features of unimodal functions with suitable examples.
10.(b) Discuss the salient features of Fibonacci methods. What are the limitations of Fibonacci methods?
Other Question Papers
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
- Advance Surveying
- Advanced Design Of Foundation
- Advanced Environmental Engineering
- Advanced Structural Analysis
- Bachelor Of Technology (Ce)
- Building Technology -I
- Civil Engineering
- Computational Methods In Structural Engineering
- Earth And Rock Fill Dam Engineering
- Elements of Engineering Science
- Engineering Geology
- E n v i r o n m e n t a l E n g i n e e r i n g I I
- Environmental Engineering-I
- Estimation And Construction Management
- Geoinformatics
- Geotechnical Engineering - II
- Mathematics-III
- Pavement Evaluation
- Quantity Surveying and Costing
- Reliability And Optimization Of Structures
- Structural Analysis - II
- Structural Analysis - III
- Structural Analysis I
- Structural Design And Drawing - I
- Structural Design And Drawing - II
- Surveying
- Traffic Engineering
- Transportation Engg. II
- Transportation Engineering - I
- Transportation Planning
- Water Resources Engineering
- Water Resources System Planning And Design