1 - Copy.doc - Faculty of Engineering and Computer Science...

• Test Prep
• 2

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

Faculty of Engineering and Computer Science ENGR 391 Numerical Methods in Engineering Assignment 1 Due February 2nd, 2011 Introduction to error analysis Objective: Review some basic mathematical concepts Be aware of round-off errors Apply the Taylor series to estimate truncation errors 1. Problem 1.14 in the textbook 2. Given the following function: f (x) = x 3 – 6.1 x 2 + 3.2 x + 1.5 a) Use a calculator to obtain the exact solution with value determined to be at least six digits for x = 4.71 b) Evaluate the same function using three-digit arithmetic with 1) chopping and 2) rounding. Compute the relative errors for the three-digit methods. c) Redo the calculation in part b) by first rewriting the above equation in a nested manner. 3. Given x x x x x x f sin sin cos ) ( a) Find x f Limit x 0 b) Use four digit rounding arithmetic to evaluate f (0.1) c) Replace each trigonometric function with its third Maclaurin polynomial and repeat part b)

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

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