MAE 284 Final exam UPDATED ACTUAL
Exam Questions and CORRECT Answers
The parabolic interpolation method is based on fitting a parabola to three points on the
function. - CORRECT ANSWER✔✔- True
The golden section method helps to minimize computational costs in finding a
maximum/minimum. - CORRECT 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. - CORRECT ANSWER✔✔- True
The parabolic interpolation method is usually faster than the golden section method. -
CORRECT 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. - CORRECT
ANSWER✔✔- True
Romberg's method is a Newton-Cotes method. - CORRECT ANSWER✔✔- True
The error for the "normal" accuracy versions of the forward, backward, and centered finite
difference approximations is O(h). - CORRECT ANSWER✔✔- False
Numerical differentiation is not particularly susceptible to errors in data. - CORRECT
ANSWER✔✔- False
Simpson's 1/3 Rule approximates the function by a ______ -order polynomial. - CORRECT
ANSWER✔✔- Second
Romberg's method is NOT a Newton-Cotes method. - CORRECT 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. - CORRECT
ANSWER✔✔- False
The error for the "normal" accuracy versions of the forward, backward, and centered finite
difference approximations is O(h2). - CORRECT ANSWER✔✔- False
The determinant of a matrix is a scalar. - CORRECT ANSWER✔✔- True
If two rows of a matrix are interchanged, the determinant changes sign. - CORRECT
ANSWER✔✔- True
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. - CORRECT ANSWER✔✔- True
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? - CORRECT ANSWER✔✔-
GPA_no_skipping
MATLAB can solve problems without closed-form solutions. (T/F) - CORRECT
ANSWER✔✔- False
Which one of the following represents an input/output statement? - CORRECT
ANSWER✔✔- Look up this one
What will be the output of the following MATLAB code?
x = [7 6 5 4 3 2 1];
x(3) - CORRECT ANSWER✔✔- 5
Exam Questions and CORRECT Answers
The parabolic interpolation method is based on fitting a parabola to three points on the
function. - CORRECT ANSWER✔✔- True
The golden section method helps to minimize computational costs in finding a
maximum/minimum. - CORRECT 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. - CORRECT ANSWER✔✔- True
The parabolic interpolation method is usually faster than the golden section method. -
CORRECT 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. - CORRECT
ANSWER✔✔- True
Romberg's method is a Newton-Cotes method. - CORRECT ANSWER✔✔- True
The error for the "normal" accuracy versions of the forward, backward, and centered finite
difference approximations is O(h). - CORRECT ANSWER✔✔- False
Numerical differentiation is not particularly susceptible to errors in data. - CORRECT
ANSWER✔✔- False
Simpson's 1/3 Rule approximates the function by a ______ -order polynomial. - CORRECT
ANSWER✔✔- Second
Romberg's method is NOT a Newton-Cotes method. - CORRECT 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. - CORRECT
ANSWER✔✔- False
The error for the "normal" accuracy versions of the forward, backward, and centered finite
difference approximations is O(h2). - CORRECT ANSWER✔✔- False
The determinant of a matrix is a scalar. - CORRECT ANSWER✔✔- True
If two rows of a matrix are interchanged, the determinant changes sign. - CORRECT
ANSWER✔✔- True
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. - CORRECT ANSWER✔✔- True
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? - CORRECT ANSWER✔✔-
GPA_no_skipping
MATLAB can solve problems without closed-form solutions. (T/F) - CORRECT
ANSWER✔✔- False
Which one of the following represents an input/output statement? - CORRECT
ANSWER✔✔- Look up this one
What will be the output of the following MATLAB code?
x = [7 6 5 4 3 2 1];
x(3) - CORRECT ANSWER✔✔- 5
