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Computational Methods Exam 2 MC Questions With Complete Solutions
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Computational Methods Exam 2 MC Questions With Complete Solutions
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Computational Methods Exam 2 MC Questions WithComplete Solutions
_____ is the representation of spread of data by the square of the
standard deviation
a) Arithmetic average
b) Variance
c) Coefficient of variation
d) Arithmetic mean Correct Answer b) Variance
A second order ordinary differential equation includes
______________.
a) A first derivative as its highest derivative and one
independent variable.
b) A second derivative as its highest derivative and two
independent variable.
c) A first derivative as its highest derivative and two
independent variable.
d) A second derivative as its highest derivative and one
independent variable. Correct Answer d) A second derivative
as its highest derivative and one independent variable.
A symmetric matrix is one where _____ for all indices i and j
a) aii = -ajj
b) aij = -aji
c) aij = aji
d) aii = ajj Correct Answer c) aij = aji
Among computational integral methods, _____ has the best
accuracy.
a) Trapezoidal rule
,b) Simpson's 1/3 Rule
c) Simpson's 3/8 rule
d) Second order polynomial Newton-Cotes formula Correct
Answer c) Simpson's 3/8 rule
An optimization problem is said to be over-constrained if:
a) p + m > n
b) p + m = n
c) p + m < n
d) p + m <= n Correct Answer a) p + m > n
Best strategy for Least Squares Regression is to minimize the
sum of ____
a) the absolute values of the residuals
b) the square root of the residuals
c) the squares for the residuals between the measured and the
calculated data
d) the residuals for all available data Correct Answer c) the
squares for the residuals between the measured and the
calculated data
Curve fitting can be summarized as the following, EXCEPT:
a) minimizing the squares of the residuals to obtain the best fit
b) is only used to fit linear lines of the form y = a0 + a1x to
sample data
c) containing complex processes such as matrix inversion to find
curve coeff values
d) fitting curves to discrete data to obtain intermediate estimates
Correct Answer b) is only used to fit linear lines of the form y =
a0 + a1x to sample data
, For searching out optima, the second derivatives of one
dimensional functions can tell us about __________ .
a) if we have reached maximum.
b) the steepest trajectory of the function.
c) the conjugate direction of the search.
d) whether the optima is a maximum or minimum. Correct
Answer d) whether the optima is a maximum or minimum.
Gauss-Seidel method is the most commonly used ______ to
invert a matrix
a) bracketing method
b) iterative method
c) elimination method
d) matrix decomp method Correct Answer b) iterative method
If |H| > 0 and d2f/dx2 > 0 then:
a) f(x,y) has a local maximum.
b) f(x,y) has a saddle point.
c) f(x,y) is linear.
d) f(x,y) has a local minimum. Correct Answer d) f(x,y) has a
local minimum.
If the band width of a banded system is 5, then the half-
bandwidth of this system is ______.
A. 1
B. 2
C. 3
D. 4 Correct Answer b) 2
In construction of quadratic splines for interpolating data points,
the following statements are true, EXCEPT
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