# hw1 - Assignment#1 Introduction to Accuracy and Precision...

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Assignment #1: Introduction to Accuracy and Precision; Errors; Rounding and Chopping; Taylor Series Review; Getting Started with Matlab Due date: Wednesday, September 15, 2010 (10:10am) For full credit you must show all of your work. 1. Round each of the following numbers to 4 significant digits; compute the absolute and relative errors, both signed and unsigned, of the approximation in each case. a) x = 0.12345 b) x = 98.7650 2. Show in pseudocode how each of the functions below can be efficiently evaluated, using no extra variables and no more than the specified number of arithmetic operations. [Hint: use the principles of nested multiplication wherever you can.] a) p ( x ) = x 4 ; two arithmetic operations b) p ( x ) = 3( x +1) 2 + 5( x +1) 4 ; five arithmetic operations 3. (1.1.C1) Using Matlab, write and run a program that corresponds to the program First given in pseudocode in our textbook, but with the extra error reporting shown here: program First integer i, imax, imin 2 31

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hw1 - Assignment#1 Introduction to Accuracy and Precision...

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