Math 111.01/02 (Applied Mathematical Analysis I)

Fall 1998

Plan for Week 8

This week we jump ahead to Chapter 7. The text material at the start of this chapter is highly compressed and rather abstract. Your authors assume you are already familiar with this material -- they use the word "review" a lot. In truth, you have seen some of this material in high school and some in multivariable calculus. If you have had a course in linear algebra, you have seen it all -- but this is not likely to be the case for most of this class. Lab this week will make some of the abstraction much more concrete, and we will see that Maple is well equipped to carry out the calculations beyond the simplest cases that are accessible to hand calculation. This is also a good time to review (or learn) the matrix/vector capabilities of your calculator -- which are likely to be adequate for this course -- and more accessible than Maple.

Our emphasis this week will be on the algebra of matrices and vectors and the relationship of this algebra to solving systems of linear equations. Next week we will see how to apply these ideas to differential equations.

Here is the syllabus for Week 8:

1. Your next homework papers will be turned in on Monday, October 26. Those papers should include solutions to all problems in the assignment below. The assignment dates are start dates.
2. In general, no homework problem will be given full credit unless you have written an explanation of why you know it is correct.
3. Submit your Week 8 lab report (the Maple file) via e-mail by the end of the day Wednesday, October 28.
4. Remember to submit your e-mail journal entry on Friday, October 23.

Assignments

• Monday, Oct. 19, Sec. 7.1 / #2, 5, 7, 11; Sec. 7.2 / #1, 10, 14
• Wednesday, Oct. 21, Sec. 7.3 / #2, 4, 6, 7, 12, 13
• Friday, Oct. 23, Sec. 7.2 / #16, 17, 24; Sec. 7.3 / #5, 10
  (show how to do these by hand calculation -- Maple may be used for checking)

Last modified: July 14, 1998