Mae 284 Certification Evaluation Verified Questions And Solutions Full Review Pack

MAE 284 CERTIFICATION EVALUATION
VERIFIED QUESTIONS AND SOLUTIONS
FULL REVIEW PACK

●● The golden section method helps to minimize computational costs in
finding a maximum/minimum.
Answer: True


●● The key benefit to the golden section method is that we do not have
to calculate both x1 and x2 at each iteration.
Answer: True


●● The parabolic interpolation method is usually faster than the golden
section method.
Answer: True


●● Adaptive Quadrature adjusts to use a smaller step size in areas where
the function changes rapidly, and a larger step size where the function
changes slowly.
Answer: True


●● Romberg's method is a Newton-Cotes method.
Answer: True

, ●● The error for the "normal" accuracy versions of the forward,
backward, and centered finite difference approximations is O(h).
Answer: False


●● Numerical differentiation is not particularly susceptible to errors in
data.
Answer: False


●● Simpson's 1/3 Rule approximates the function by a ______ -order
polynomial.
Answer: Second


●● Romberg's method is NOT a Newton-Cotes method.
Answer: False


●● The only way to increase the accuracy of a numerical approximation
of a derivative is to add more terms in the Taylor Series used to derive
the approximation.
Answer: False


●● The error for the "normal" accuracy versions of the forward,
backward, and centered finite difference approximations is O(h2).
Answer: False