## MATH 210 Calculus III Fall, 1997 MWF 12:40 -1:50 P.M. UANX 150 / SD 017 Course Problem of the Week (sometimes with hints, etc.)

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Last updated: 9/3/97

Math 210 Problem of the Week.

Due Wednesday, Sept. 10, Sept. 24, ... at 4 p.m.

Bi-Weekly "Team Summary Report"
Summary of the work. Every 2 weeks.
You will be allowed to use these reports at the final examination.
Instructions: Your team's summary should contain lists and exposition related primarily to your understanding (as opposed to my lectures). You may compose the exposition in a format of your own design.
Here are some things your report might contain:
• A key word list... with definitions.
• A key result list... with complete statements.
• A description of the motivation and connections of the results to applications.
• A discussion of how any particular examples, computations, uses of technology, or assigned problems added insight to the topics.
• Any special insights or connections to personal (academic) interests.
• Things you found helpful from other sources or experiences. Be specific.
Feedback: (optional) Discuss your reaction to the in-class work/lectures or assignments. Here is your opportunity to make suggestions on how you, I, and/or the class might change our interactions to improve communication.
Problem of the Week:
Due Wednesday, Sept. 17
Estimating Solutions to Parametric Differential Equations.
Read problem 12 on page 597 of Stewart. Do parts a and b.
Read pages 971-2 on Euler's method together with materials from Flashman an Euler's method (Math 109 or Math 110).
Suppose x(0)=100 and y(0)=10 in problem 12. Estimate x(4) and y(4) using Euler's method with n=4 with the following choices for the constants a,b,k, and r. In each case discuss the quality of your estimate and the relation of these to part a and b ot the problem.
(i) a = b = 1, k = 2, r = .5 ; (ii) a=.2 , b=.5, k=r=1.