This download link is referred from the post: SGBAU BSc Last 10 Years 2010-2020 Question Papers || Sant Gadge Baba Amravati university
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B.C.A. (Part-1) SemesterβI Examination
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NUMERICAL METHODS
Paper-1ST4
Time : Three Hours] [Maximum Marks : 60
Note :β (1) All questions are compulsory.
(2) All questions carry equal marks.
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(3) Assume suitable data wherever necessary.
- (a) What do you mean by mathematical model ? How will you formulate it ? 4
(b) What are the different phases involved in numerical computing ? 4
(c) Distinguish between analog computing and digital computing. 4
OR - (a) Explain discrete data and continuous data involved in numerical computing with example. 4
(b) Explain new trends in numerical computing. 4
(c) What is Accuracy ? How is it affected during the process of Numerical computing ? 4 - (a) Explain Inherent Errors. 4
(b) Explain the concept of significant digit with proper example. 4--- Content provided by FirstRanker.com ---
(c) Explain Round off errors. 4
OR - (a) Round off the following numbers correct upto four decimal places :
(i) 0.005789
(ii) 0.235092--- Content provided by FirstRanker.com ---
(iii) 56.243827
(iv) 0.560012 4
(b) Distinguish between rounding off error and truncation error. 4
(c) What do you mean by significant digit ? Explain the term accuracy and precision related to significant digits. 4 - (a) Describe how you will find out root of equation f(x) = 0 by Bisection method. 6
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(b) Find graphically the positive root of an equation x2 β 6x β 13=0 6
OR - (a) Find the real root of equation f(x) = x3 β 3x β 5 = 0 by using false position method. 6
(b) Find the root of equation f(x) = x3 β 4x β 9 = 0 by using Bisection method. 6 - (a) State the Secant method formula for finding roots of an equation. 6
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(b) Find the root of equation by using Secant method :
f(x)=x2-4x-10=0 6
OR - (a) Explain fixed point iteration method to find roots of non-linear equation. 6
(b) Find the root of equation f(x) = x3 β x β 10 = 0 by using Newton-Raphson method. 6 - (a) Solve the following system of equation by using Gauss elimination with partial pivoting :
x+y+z=1
x+y-3z=5
x-2y-5z=10 8
(b) Write any four differences between Simple Gauss Elimination method and Gauss Jordan method. 4--- Content provided by FirstRanker.com ---
OR - (a) Solve the following system of equation by using Gauss Jordan method :
10x+2y +z=9
x+ 10y β z=-22
-2x + 3y + 10z = 22 8--- Content provided by FirstRanker.com ---
(b) Explain the Gauss Elimination by partial pivoting method. 4
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This download link is referred from the post: SGBAU BSc Last 10 Years 2010-2020 Question Papers || Sant Gadge Baba Amravati university