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Reg No.:_ Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SEVENTH SEMESTER B.TECH DEGREE EXAMINATION(S), MAY 2019

Course Code: CE473
Course Name: Advanced Computational Techniques and Optimization

Max. Marks: 100 Duration: 3 Hours
PARTA
Answer any two full questions, each carries 15 marks. Marks
1 (a) Explain briefly the errors in numerical methods (8)
(b) Solve the equation by Gauss elimination method. (7)

3x, +X, + ‏,د‎ = 4: +4x, ಬೆ ಧದ +x, - 63 = -12

2 (a) Find the largest eigen value and corresponding eigen vector of matrix (15)

1 3 -1

A=|3 2 4

-1 4 10
3 (a) Explain solution, feasible solution, and basic feasible solution of a LPP (9)
(b) Define slack variable, surplus variable and artificial variables (6)

PART ந
Answer any two full questions, each carries 15 marks.

4 (a) Derive Newton Cotes open quadrature formula for numerical integration. (5)

(b) From the following data, calculate cosl.15 using Lagrange’s interpolation (10)

formula.

5 (a) A solid of revolution is formed by rotating about the X axis, the area between the (12)
> axis, the lines x=0 and x=1 and a curve through the points with the following

coordinates.

Estimate the volume of the solid formed using Simpsons’s rule.

(b) What are advantages of spline interpolation from linear interpolations? (3)

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