Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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MULTIPLE CHOICE TEST

(All Tests)

MEASURING ERROR

(More on Measuring Errors)

INTRO TO SCIENTIFIC COMPUTING

(More on Scientific Computing)


Pick the most appropriate answer.


Q1. True error is defined as

Present Approximation Previous Approximation

True Value Approximate Value

abs (True Value Approximate Value)

abs (Present Approximation Previous Approximation)

 


Q2. The expression for true error in calculating the derivative of sin(2x) at x= Π/4 by using the approximate expression

             

 is

[h-cos(2h)-1]/h

[h-cos(h)-1]/h
[1-cos(2h)]/h

sin(2h)/h



Q3. The relative approximate error at the end of an iteration to find the root of an equation is 0.004%.  The least number of significant digits we can trust in the solution is

2
3
4
5


Q4. The number 0.01850x103 has ________ significant digits

3

4

5

6



Q5. The following gas stations were cited for irregular dispensation by the Department of Agriculture.  Which one cheated you the most?

Station

Actual

gasoline

dispensed

Gasoline

reading at

pump

Ser

Cit

Hus

She

9.90

19.90

29.80

29.95

10.00

20.00

30.00

30.00

Ser
Cit
Hus
She


Q6. The number of significant digits in the number 219900 is

4
5
6
4 or 5 or 6


 

 

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, 1322586.  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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