( Error Analysis (Round – off error and computer arithmetic

1- Make the students able to deal with Numerical Analysis : Error Analysis and know that there are two inherent sources of error in numerical methods – round-off and truncation error,
2- recognize the sources of round-off and truncation error, and know the difference between roundoff and truncation error
Understand the basics of Taylor’s theorem, write transcendental and trigonometric functions as Taylor’s polynomial, use Taylor’s theorem to find the values of a function at any point, given the values of the function and all its derivatives at a particular point, calculate errors and error bounds of approximating a function by Taylor series, and revisit the chapter whenever Taylor’s theorem is used to derive or explain numerical methods for various mathematical procedures.
1- Make the students able to deal with Numerical Analysis : Error Analysis and know that there are two inherent sources of error in numerical methods – round-off and truncation error,
2- recognize the sources of round-off and truncation error, and know the difference between roundoff and truncation error
Understand the basics of Taylor’s theorem, write transcendental and trigonometric functions as Taylor’s polynomial, use Taylor’s theorem to find the values of a function at any point, given the values of the function and all its derivatives at a particular point, calculate errors and error bounds of approximating a function by Taylor series, and revisit the chapter whenever Taylor’s theorem is used to derive or explain numerical methods for various mathematical procedures.