1. NCR Register http://numericalmethods.eng.usf.edu

2. INTRODUCTION, APPROXIMATION AND ERRORS

3. http://numericalmethods.eng.usf.edu Identify the picture of your instructor A. B. C. D.

4. http://numericalmethods.eng.usf.edu 01.01 INTRODUCTION

5. http://numericalmethods.eng.usf.edu To find velocity from acceleration vs time data, the mathematical procedure used is A.Differentiation B.Integration

6. http://numericalmethods.eng.usf.edu The form of the exact solution to is A.. B.. C.. D..

7. http://numericalmethods.eng.usf.edu Given the f (x) vs x curve, and the magnitude of the areas as shown, the value of y x a 5 7 2 b c A.-2 B.2 C.12 D.Cannot be determined

8. http://numericalmethods.eng.usf.edu A steel cylindrical shaft at room temperature is immersed in a dry-ice/alcohol bath. A layman estimates the reduction in diameter by using while using the value of the thermal expansion coefficient at -108 o F. Seeing the graph below, the magnitude of contraction you as a USF educated engineer would calculate would be ______________than the layman’s estimate. A.Less B.More C.Same

9. END http://numericalmethods.eng.usf.edu

10. 01.02 MEASURING ERRORS

11. http://numericalmethods.eng.usf.edu The number of significant digits in 2.30500 is A.3 B.4 C.5 D.6

12. http://numericalmethods.eng.usf.edu The absolute relative approximate error in an iterative process at the end of the tenth iteration is 0.007%. The least number of significant digits correct in the answer is A.2 B.3 C.4 D.5

13. http://numericalmethods.eng.usf.edu Three significant digits are expected to be correct after an iterative process. The pre-specified tolerance in this case needs to be less than or equal to A.0.5% B.0.05% C.0.005% D.0.0005%

14. http://numericalmethods.eng.usf.edu 01.03 SOURCES OF ERROR

15. Dreaming http://numericalmethods.eng.usf.edu

16. The error caused by representing numbers such as 1/3 approximately is called A.Round-off error B.Truncation error

17. http://numericalmethods.eng.usf.edu The number 6.749832 with 3 significant digits with rounding is A.6.74 B.6.75 C.6.749 D.6.750

18. http://numericalmethods.eng.usf.edu The error caused by using only a few terms of the Maclaurin series to calculate e x results mostly in A.Truncation Error B.Round off Error

19. http://numericalmethods.eng.usf.edu The number 6.749832 with 3 significant digits with chopping is A.6.74 B.6.75 C.6.749 D.6.750

20. END http://numericalmethods.eng.usf.edu

21. 01.04 BINARY REPRESENTATION

22. This is what you have been saying about your TI-30Xa http://numericalmethods.eng.usf.edu A.I don't care what people say The rush is worth the price I pay I get so high when you're with me But crash and crave you when you are away B.Give me back now my TI89 Before I start to drink and whine TI30Xa calculators make me cry Incarnation of of Jason will you ever die C.TI30Xa – you make me forget the high maintenance TI89. D.I never thought I will fall in love again!

23. http://numericalmethods.eng.usf.edu (8) 10 =(?) 2 A.1110 B.1011 C.0100 D.1000

24. http://numericalmethods.eng.usf.edu The binary representation of (0.3) 10 is A.(0.01001……...) 2 B.(0.10100……...) 2 C.(0.01010……...) 2 D.(0.01100……...) 2

25. http://numericalmethods.eng.usf.edu 01.05 FLOATING POINT REPRESENTATION

26. http://numericalmethods.eng.usf.edu Smallest positive number in a 7 bit word where 1 st bit is used for sign of number, 2 nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent A.0.000 B.0.125 C.0.250 D.1.000

27. http://numericalmethods.eng.usf.edu Five bits are used for the biased exponent. To convert a biased exponent to an unbiased exponent, you would A.add 7 B.subtract 7 C.add 15 D.subtract 15

28. END http://numericalmethods.eng.usf.edu

29. 01.07 TAYLOR SERIES

30. http://numericalmethods.eng.usf.edu Taylor series A.if values of h are small B.if function and all its derivatives are defined and continuous at x C.if function and all its derivatives are defined and continuous in [x,x+h] is only valid

31. END http://numericalmethods.eng.usf.edu

32. (01011) 2 =(?) 10 A.7 B.11 C.15 D.22

33. http://numericalmethods.eng.usf.edu The machine epsilon in a 7 bit number where 1 st bit is used for sign of number, 2 nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent A.0.125 B.0.25 C.0.5 D.1.0

34. http://numericalmethods.eng.usf.edu The number of significant digits in 0.0023406 is A.4 B.5 C.6 D.7

35. http://numericalmethods.eng.usf.edu The number of significant digits in 2350 is A.3 B.4 C.5 D.3 or 4

36. http://numericalmethods.eng.usf.edu To find velocity from location vs time data of the body, the mathematical procedure used is A.Differentiation B.Integration

37. http://numericalmethods.eng.usf.edu Given y= sin(2x), dy/dx at x=3 is 1.0.9600 2.0.9945 3.1.920 4.1.989

38. http://numericalmethods.eng.usf.edu In a five bit fixed representation, (0.1) 10 is represented as (0.00011) 2. The true error in this representation most nearly is A.0.00625 B.0.053125 C.0.09375 D.9.5x10 -8

39. http://numericalmethods.eng.usf.edu What will Maury Povich say when he dies, goes to heaven, and sees God? A.Why am I here; I should be with the lawyers. B.Is Connie here? C.You are the Father. D.You are not the father.

40. I walk like a pimp – Jeremy Reed You know it's hard out here for a pimp, When he tryin to get this money for the rent, For the Cadillacs and gas money spent

41. http://numericalmethods.eng.usf.edu Largest positive number in a 7 bit number where 1 st bit is used for sign of number, 2 nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent A.1.875 B.4 C.7 D.15