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.docxMINISTRY OF EDUCATION AND SCIENCE OF UKRAINE
KHARKIV NATIONAL UNIVERSITY OF RADIO ELECTRONICS
Department of ST
Report
on the implementation of laboratory work No. 1
"Introduction to numerical methods. Fundamentals of error theory"
in the discipline "Numerical methods"
| Complied by student KNT-23-1: Roman, Kravchenko 
 
 
 
 
 
 
 Kharkiv 2024 | Accepted: P.E. Sytnikova, 
 | 
The purpose of the wok: familiarization with numerical methods and the main stages of solving applied problems; studying the basis of the theory of errors
Work Progress
 
- Determine (in percent) the maximum value of relative error of the approximate number a. 
 
- Determine the maximum value of absolute error of the approximate number a if the maximum value of relative error is known     
- Determine which equation is more accurate: a1 or a2?   
- How many correct significant digits does the approximate number a contain: а) in the narrow sense; б) in the broad sense? 
 
- Round off doubtful figures of approximate numbers a and b, leaving the correct signs: 
а) number a− in the narrow sense.
б) number b− in the broad sense.
Determine the absolute error of the result.
 
 
- Find the maximum value of absolute and relative errors of approximate numbers a and b if they have only correct numbers: 
а )
number a−
in the narrow sense;  б) number b−
in the broad sense.
)
number a−
in the narrow sense;  б) number b−
in the broad sense.  
- Calculate and determine the maximum value of absolute and relative errors of the result.   
- Calculate and determine the maximum value of absolute and relative errors of the result. 
 
