MATH 497/597 Fall 2002

Homework due October 3, 2002

1.
Page 44, 2.3.1.

2.
Page 45, 2.3.6

Graduate Students only

2a.
For problem 2.3.6, estimate the error of your approximation p(2) using Theorem 2.3.2. Compare your estimate with the actual error and discuss your results.

3.
Page 54, 2.4.8

Graduate Students only

3a.
Use the method in problem 2.4.8 to solve equations 2.2.34-2.2.35 with initial values x(0)=80, y(0)=30 and the parameter values given on page 33. You will need to implement an approach that overcomes the difficulties you found in 2.4.8b.

4.
Page 64, 2.5.7