Download PTU B.Tech 2020 March Civil 6th Sem BTCE 604 Numerical Methods In Civil Engineering Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) BE/BTech Civil Engineering (CE) 2020 March 6th Sem BTCE 604 Numerical Methods In Civil Engineering Previous Question Paper

1 | M-71085 (S2)-2050
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Tech.(CE) (2012 to 2017) (Sem.?6)
NUMERICAL METHODS IN CIVIL ENGINEERING
Subject Code : BTCE-604
M.Code : 71085
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
Q1. Answer the following :
a) Write a short note of Boundary Value problem.
b) Write normal equation for fitting second degree polynomial.
c) Write a short note on Bisection method.
d) Find a polynomial which takes values
x : 0 1 2 3 4
y : 1 2 1 1 10
e) Evaluate ?
2
(ab
x
), the interval of differencing being unity.
f) Find the Eigen values of the matrix
1 1 3
1 5 1
3 1 1
? ?
? ?
? ?
? ?
? ?

g) Explain interpolation with example.
h) Give any two difference between Galerkin and collocation method.
i) Write the relation between Correlation and Regression coefficient.
j) What is the classification of the equation?
2 2 2
2 2
4 4 2 0
u u u u u
x x y y x y
? ? ? ? ?
? ? ? ? ?
? ? ? ? ? ?

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1 | M-71085 (S2)-2050
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Tech.(CE) (2012 to 2017) (Sem.?6)
NUMERICAL METHODS IN CIVIL ENGINEERING
Subject Code : BTCE-604
M.Code : 71085
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
Q1. Answer the following :
a) Write a short note of Boundary Value problem.
b) Write normal equation for fitting second degree polynomial.
c) Write a short note on Bisection method.
d) Find a polynomial which takes values
x : 0 1 2 3 4
y : 1 2 1 1 10
e) Evaluate ?
2
(ab
x
), the interval of differencing being unity.
f) Find the Eigen values of the matrix
1 1 3
1 5 1
3 1 1
? ?
? ?
? ?
? ?
? ?

g) Explain interpolation with example.
h) Give any two difference between Galerkin and collocation method.
i) Write the relation between Correlation and Regression coefficient.
j) What is the classification of the equation?
2 2 2
2 2
4 4 2 0
u u u u u
x x y y x y
? ? ? ? ?
? ? ? ? ?
? ? ? ? ? ?

2 | M-71085 (S2)-2050
SECTION-B
2. Determine the largest Eigen values and Eigen vector of the matrix
2 1 0
1 2 1
0 1 2
? ? ?
? ?
? ?
? ?
? ? ?
? ?

3. A curve passes through the points (0, 18), (1, 10), (3, ?18), (6, 90). Find the slope of the
curve at x =2.
4. Apply Runge Kutta method to find an approximate root of y for x = 0.2 in steps of 0.1 of
2
dy
x y
dx
? ? given y = 1 where x = 0.
5. Explain the New marks method for solving non linear problems.
6. Solve the equation y ? ? = x + y boundary conditions y (0) = y (1) = 0

SECTION-C
7. Solve the system of equation using Gauss Jordan method
x + y + z = 9
2x ? 3y + 4z = 13
3x + 4y + 5z = 40
8. Solve the boundary value problem defined by y ? ? ? x = 0 and y (0) = 0, y (1) =
1
2
?
by
Galerkin?s method.
9. Obtain the iterative formula for finding the N using Newton Raphson method and hence
find the value of 5 .




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page of Answer sheet will lead to UMC case against the Student.

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