Cheg 258 First Hour Exam
Closed Book and Closed Notes
3/1/00
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the easy
ones first!
Prob

N AME
_
Cheg 258 Third Hour Exam
Closed Book and Closed Notes
5/6/98
Problem 1). Integration Error Propagation:
a. Derive the local error and error amplification factor for the Euler method.
b. What is the stability interval for this method?
c. Briefly di

N AME
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Cheg 258 Third Hour Exam
Closed Book and Closed Notes
5/7/97
Problem 1). Integration Error Propagation:
a. Derive the local error and propagation error for the Backward Euler method.
b. What is the stability interval for this method?
c. Why or why

NAME _
Cheg 258 Third Hour Exam
Closed Book and Closed Notes
5/7/96
Problem 1). Integration Error Propagation:
a. Derive the local error and propagation error for the Euler method.
b. What is the stability interval for this method?
c. Name two high order

Cheg 258 Third Hour Exam
Closed Book and Closed Notes
5/8/00
Problem 1). Adaptive Step Size Control:
a. The Euler method is a one stage Runge Kutta rule specified by:
k1 = h f(tn, yn)
(yn+1)1s = yn + k1
This can be extended to a two stage rule by adding t

Cheg 258 Second Hour Exam
Closed Book and Closed Notes
4/14/99
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the easy
ones first!
Pr

NAME
Cheg 258 Second Hour Exam
Closed Book and Closed Notes
_
4/15/98
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the
easy ones fi

Cheg 258 Second Hour Exam
Closed Book and Closed Notes
4/9/97
Please solve the exam on the sheets provided. You may use the backs of the sheets
as well. Feel free to use the blue books if you need more room!
Problem 1). Root Finding: In this problem we wi

Cheg 258 Second Hour Exam
Closed Book and Closed Notes
4/3/96
Please solve the exam on the sheets provided. You may use the backs of the sheets
as well. Please the blue books as scratch paper only!
Problem 1). Regression and Error Analysis:
In an experime

Cheg 258 Second Hour Exam
Closed Book and Closed Notes
3/31/00
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the easy
ones (e.g., th

Cheg 258 First Hour Exam
Closed Book and Closed Notes
2/24/99
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the
easy ones first!
Pro

Name
Cheg 258 First Hour Exam
Closed Book and Closed Notes
3/4/98
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the
easy ones first!

NAME _
Cheg 258 First Hour Exam
Closed Book and Closed Notes
2/26/97
Please solve the exam on the sheets provided. Use the blue books as scratch paper only!
Each problem counts equally. Attempt all of the problems. You probably should do the
easy ones fir

Cheg 258 First Hour Exam
Closed Book and Closed Notes
2/23/96
Please solve the exam on the sheets provided. Use the blue books as scratch paper
only!
Each problem counts equally. Attempt all of the problems. You probably should do
the easy ones first!
Pro

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Cheg 258 Third Hour Exam
Closed Book and Closed Notes
5/6/99
Problem 1). Integration Error Propagation:
a. Derive the local error and error amplification factor for the Backward Euler method.
b. What is the stability interval for this method?
c. Briefly d