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ENGR-391-2201-AA Final exam Concordia University
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ENGR-391-2201-AA Final exam Concordia University
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ENGR-391-2201-AA Final exam Concordia UniversityBy checking the "yes" answer below I confirm
1. that I have neither given nor received unauthorized aid to answer the questions of this
assignment.
2. I agree to follow the rules in regard of online assignments as they are posted in the
announcement forum of this class and sent to me by email via moodle
Select one:
a. Yes I agree
b. No I do not agree
Consider a continuous function f(x) such that f(a) < 0 and f(b) > 0.
Choose the correct statement
Select one:
a. There is no root in the interval [a, b]
b. There is exactly one root in the interval [a, b]
c. There is at least one root in the interval [a, b]
d. Not enough information provided in the question to make a conclusion
You are approximating the solution of an initial value problem using a RK5 method.
If the global truncation error of the approximation produced by the IVP solver in t = 5 is 0.8
when using a step size h = 0.01, how much will be the global truncation error when using
a smaller step size of h = 0.001?
Answer: 0.08
/
, Consider the function f(x) = ex − 8.3 − 4.6 sin(x2). We apply Newton's method to find
a root of this function.
If x2 = 1.9 then the value of x3 is given as
Select one:
a. 1.8683
b. 1.9519
c. 1.8792
d. 1.8571
Choose the correct statement
Select one:
a. Truncation errors are errors due to limited memory in a computer
b. Round off errors can be reduced by increasing the number of significant digits
used in calculation
c. Truncation errors are due to programming bugs in an algorithm
d. Numerical errors are due to only round-off errors
The numerical stability of a method for solving initial value problems depends on
Select one:
a. both the numerical method and the differential equation
b. only the differential equation
c. only the numerical method
d. only on the number of significant digits used
/
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