Download PTU B.Sc CS-IT 2020 March 5th Sem 72574 ) Numerical Analysis Question Paper

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Roll No. [T | Total No. of Pages : 02

Total No. of Questions : 07

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B.Sc.(Computer Science) (2013 & Onwards) (Sem.-5)

NUMERICAL ANALYSIS

Subject Code : BCS-501

M.Code : 72574

Time : 3 Hrs. Max. Marks : 60

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains SIX questions carrying TEN marks each and students have to attempt ANY FOUR questions.

SECTION-A

1. Write briefly :
   1. Define Error generation

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   2. State Bisection method.
   3. Define Forward difference.
   4. Define Shift operator.
   5. State Triangular method.
   6. Define interpolation.

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   7. State method of least square for curve fitting.
   8. State Trapezoidal Rule.
   9. State Weddle Rule.
   10. State Runge-kutta method.

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SECTION-B

2. Find the real root of the equation cos x — 3x + 1 =0 by using iteration method.
3. Explain the method of False position in detail.

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4. Using divided difference, find the value of f(8), given that f(6)=1.556,f(7)=1.690, f(9) = 1.908, f(12) = 2.158.
5. Use Stirling’s formula to find y₃₅, given y₂₀ = 49225, y₂₅ = 48316, y₃₀ = 47236, y₄₀ = 45926, y₄₅ = 44306.
6. Use Romberg’s method to compute ?₁² 1/(1+x) dx correct upto 4 decimal places.
7. Tabulate by Milne’s method the numerical solution of dy/dx = x+ y with the initial conditions x₀ = 0, y₀ =1 from x = 0.20 to x = 0.30.

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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