Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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MULTIPLE CHOICE TEST

(All Tests)

SOURCES OF ERROR

(More on Sources of Error)

INTRO TO SCIENTIFIC COMPUTING

(More on Scientific Computing)


Pick the most appropriate answer.


Q1. Truncation error is caused by approximating

irrational numbers

fractions

rational numbers

exact mathematical procedures

 


Q2. A computer that represents only 4 significant digits with chopping would calculate 66.666*33.333 as

2220

2221
2221.17778
2222



Q3. A computer that represents only 4 significant digits with rounding would calculate 66.666*33.333 as

2220
2221
2221.17778
2222


Q4. The truncation error in calculating f'(2) for f(x)=x2 by  

with h=0.2 is                     

-0.20

0.20

4.0

4.2



Q5. The truncation error in finding  using LRAM (left end point Riemann approximation) with equally portioned points  -3<0<3<6<9 is        

648
756
972
1620



Q6. The number 1/10 is registered in a fixed 6 bit-register with all bits used for the fractional part.  The difference gets accumulated every 1/10th of a second for one day.  The magnitude of the accumulated difference is

0.082
135
270
5400


 

 

         Complete solution     

 

 

         Multiple choice questions on other topics


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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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