MAE 284 Final Exam Questions & Answers 2024/2025
The parabolic interpolation method is based on fitting a parabola to three points on the function. - ANSWERSTrue
The golden section method helps to minimize computational costs in finding a maximum/minimum. - ANSWERSTrue
The key benefit to...
The parabolic interpolation method is based on fitting a parabola to three points on the function. -
ANSWERSTrue
The golden section method helps to minimize computational costs in finding a maximum/minimum. -
ANSWERSTrue
The key benefit to the golden section method is that we do not have to calculate both x1 and x2 at each
iteration. - ANSWERSTrue
The parabolic interpolation method is usually faster than the golden section method. - ANSWERSTrue
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. - ANSWERSTrue
Romberg's method is a Newton-Cotes method. - ANSWERSTrue
The error for the "normal" accuracy versions of the forward, backward, and centered finite difference
approximations is O(h). - ANSWERSFalse
Numerical differentiation is not particularly susceptible to errors in data. - ANSWERSFalse
Simpson's 1/3 Rule approximates the function by a ______ -order polynomial. - ANSWERSSecond
Romberg's method is NOT a Newton-Cotes method. - ANSWERSFalse
, 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. - ANSWERSFalse
The error for the "normal" accuracy versions of the forward, backward, and centered finite difference
approximations is O(h2). - ANSWERSFalse
The determinant of a matrix is a scalar. - ANSWERSTrue
If two rows of a matrix are interchanged, the determinant changes sign. - ANSWERSTrue
At the start of Gauss Elimination, the first equation is known as the pivot equation and the a11 element
is known as the pivot element. - ANSWERSTrue
A student wants to skip the next three MAE 284 labs, and is writing some MATLAB code to see what that
will do to their GPA. They need to name a variable, but for some reason can't remember which names
are valid.
Of the four potential variable names below, which one is valid? - ANSWERSGPA_no_skipping
MATLAB can solve problems without closed-form solutions. (T/F) - ANSWERSFalse
Which one of the following represents an input/output statement? - ANSWERSLook up this one
What will be the output of the following MATLAB code?
x = [7 6 5 4 3 2 1];
x(3) - ANSWERS5
The function name MUST be the same as the filename. (T/F) - ANSWERSTrue
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