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srm university first semester question papers |
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Re: srm university first semester question papers
The SRM University is a deemed university in the state of Tamil Nadu, India. It was founded in 1985 as SRM Engineering College in Kattankulathur, under University of Madras. The SRM University is provides various question papers for almost all academic courses. Get download previous year question papers for SRM University: Question papers for SRM University Semester exam Question papers for SRM University Semester exam: B.Tech(PT)DEGREE EXAMINATION,DECEMBER 2008 Second Semester PMA202-NUMERICAL METHODS Time:3 Hours Max.marks:100 Answer ALL Questions PART-A(10*2=20 Marks) 1.State principle of least squares. 2.Write down Newton Raphson formula. 3.Define the operators i)d (ii)µ. 4.Give the Newton’s divided difference interpolation formula.. 5.Write th e numerical integration formula using trapezoidal method. 6.Evaluate ? e^x dx,using simpson’s 1/3rd rule. 0 eº = 1,e¹ = 2.72,e² =7.39,e³ = 20.09,e^4 =54.6. 7.State Taylor’s algorithm for the first order differential equation. 8.How many prior values are required to predict the next value in milne’s method? 9.Classify the PDE xUxx + yYyy =0, x > 0,y > 0. 10.Write the crank-nicholson difference scheme to solve Uxx = aUt with u(0,t) = t0,u(l,t)=t1, , u(x,0)= f(x). PART-B(5*16 = 80Marks) 11.a.Fit a parabola to the following data: x 1 2 3 4 5 y 2 3 5 8 10 (OR) b.Solve by Gauss jacobi method 12x +4y-z =32 x +3y+10z = 24 2x +17y+4z =35 12.a. Apply Newton’s backward difference formula to the data below to obtain a polynomial of degree 4. x 1 2 3 4 5 y 1 -1 1 -1 1 (OR) b. Use Lagrange’s formula to find x when y = 85 from the following: x 2 5 8 14 y 94.8 87.9 81.3 68.7 13.a.Find ƒ'(x) and ƒ''(x) at x = 1.1.Given x 1 1.1 1.2 1.3 1.4 1.5 1.6 y 7.9 8.4 8.7 9.1 9.4 9.7 10.1 |
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