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Download SGBAU BCA 2019 Summer 1st Sem Numerical Methods Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) BCA 2019 Summer (Bachelor of Computer Applications) 1st Sem Numerical Methods Previous Question Paper

This post was last modified on 10 February 2020

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) Semesterβ€”I 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.

  1. (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
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  3. (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
  4. (a) Explain Inherent Errors. 4
    (b) Explain the concept of significant digit with proper example. 4

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    (c) Explain Round off errors. 4
    OR
  5. (a) Round off the following numbers correct upto four decimal places :
    (i) 0.005789
    (ii) 0.235092

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    (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
  6. (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
  7. (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
  8. (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
  9. (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
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  11. (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

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    OR
  12. (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

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    (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