practiceExam1Sample1

This preview shows pages 1–2. Sign up to view the full content.

1. Please answer the questions below by selecting either (a) one of the answers provided. i. The following orders can be included in a Taylor Series Expansion of a non-linear function to generate a linear approximation for the function: a. 0 th order b. 1 st order c. 2 nd order d. Both 0 th and 1 st order e. The 0 th , 1 st , and 2 nd order terms can all be included ii. A Taylor Series approximation for a function which includes the 0 th and 1 st order terms will have an error that is on the order of the step size raised to what power: a. 0 b. 1 c. 2 d. 3 e. None of the above iii. Which of the following statements concerning Gaussian Elimination methods for solving linear systems of equations (i.e. Ax=b) is true: a. Gaussian elimination requires more computations than does using the matrix inverse method to compute x=A -1 b. b. Partial pivoting should generally be used to help avoid division by zero errors and round-off errors during elimination. c. Gauss-Jordan is more computationally efficient than is Gaussian elimination with back substitution. d. Scaling helps to eliminate round-off errors when two coefficients in the same equation are of dramatically different magnitudes. iv. You form an ODE initial value problem for a chemical reaction. One reaction rate is very fast and another is very slow. You have the choice of using an implicit method or an explicit method.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern