m1review

# m1review - Week 6 Midterm Friday Review Exam format...

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Week 6 - Midterm Friday - Review

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- Chapters 1 - 3 + 4.1-4.2? - One sheet of note paper? - Calculators NOT allowed Exam format
Review -Absolute and Relative Error -Nested Multiplication -Taylor Series (and Error Term) -Floating Point Representation -Loss of Significance by Subtraction -Root Finding (Bisection, Newton, Secant) -Interpolation

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Absolute Error Alice normally estimates pi as 3.14. What is the absolute error of her estimation? A: | pi - 3.14 | ≈ 0.00159
Relative Error Alice normally estimates pi as 3.14. What is the relative error of her estimation? A: | pi - 3.14 | ≈ 0.00159 | pi|

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Nested Multiplication Dave needs to compute a hash chain. To do this, he must repeatedly run the following function 2 70 times. How can he speed up his program? Code: f(x) = 3x 6 - 25x 2 + 2x +4 A: 4 + x(2 + x(-25 + 3(x 4 ))
Susan is in the middle of a test and needs to compute e 0.5 . When she goes to type it in her calculator she realizes her e x button is broken. What can she do? A: f(x) = 1 + x + x

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m1review - Week 6 Midterm Friday Review Exam format...

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