MAE 284 ACTUAL EXAM SOLVED
QUESTIONS COMPLETE PREPARATION
RESOURCE
●● Eigvenvectors are related to the mode shape
Answer: True
●● What technique did we use to solve nonlinear finite-difference
equations
Answer: Gauss-Seidel
●● The shooting method is based on guessing a value for one of the
initial conidtions and using an intial value algorithm
Answer: True
●● The numerical approximations of the derivatives discussed in class
were derived from the Taylor series
Answer: True
●● There are three "types" of numerical derivative approximations:
forward, backward, and centered
Answer: True
, ●● The solution of an ODE is some function of the dependent variable
Answer: False
●● Which of the following methods uses Euler's method ot estimate the
value of the solution of the ODE halfway between the current point and
the next point
Answer: Midpoint
●● MATLAB's odeset function acn be used to set various parameters for
the ode45 function
Answer: True
●● A stiff system is an ODE whose solution consists of sections of
rapidly varying and slowly varying values for the dependent variable
Answer: True
●● Which numerical method for solving IVPs uses the average of two
slopes for the increment function
Answer: Heun
●● Numerical integration always requires a function
Answer: False
QUESTIONS COMPLETE PREPARATION
RESOURCE
●● Eigvenvectors are related to the mode shape
Answer: True
●● What technique did we use to solve nonlinear finite-difference
equations
Answer: Gauss-Seidel
●● The shooting method is based on guessing a value for one of the
initial conidtions and using an intial value algorithm
Answer: True
●● The numerical approximations of the derivatives discussed in class
were derived from the Taylor series
Answer: True
●● There are three "types" of numerical derivative approximations:
forward, backward, and centered
Answer: True
, ●● The solution of an ODE is some function of the dependent variable
Answer: False
●● Which of the following methods uses Euler's method ot estimate the
value of the solution of the ODE halfway between the current point and
the next point
Answer: Midpoint
●● MATLAB's odeset function acn be used to set various parameters for
the ode45 function
Answer: True
●● A stiff system is an ODE whose solution consists of sections of
rapidly varying and slowly varying values for the dependent variable
Answer: True
●● Which numerical method for solving IVPs uses the average of two
slopes for the increment function
Answer: Heun
●● Numerical integration always requires a function
Answer: False
