Math 125: Week 8
| Week 7 outline | Math 125 main page | Week 9 outline |
| What | Where | Link |
|---|---|---|
| Reading | Text – 7.8, 8.1 | |
| Worksheet | None | None |
| Homework | WebAssign |
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|
Student Guide:
Improper Integrals are covered in Section 7.8. These are a combination of a Definite Integral and a Limit. There are two types of Improper Integral and you should understand the difference. You should understand convergence and divergence. You'll probably have to review limits in general, and particularly one-sided limits when studying integrals that are improper because of discontinuity. L'Hospital's Rule is also useful here. Note that to earn full credit on an improper definite integral exam question you will need to be able to set it up correctly as a limit, and compute the resulting limit.
We return to a couple more applications of integrals in Chapter 8. As before, the method of going from a problem to an integral is more important than any particular formulas we cook up. We study how to compute the length of a curve in Section 8.1. You should understand the derivation of the formula. It is often very difficult to compute the integrals that come up in this section. This is a good place to apply approximation techniques.
This is the week of Exam #2. Depending on the quarter and the pacing of your instructor, the material covered on the second midterm will vary and may cover up to (and including) section 7.7. Ask your instructor for precise information on the sections covered. Keep this in mind as you look over old midterms in the archive -- some of the questions in the archive may have to do with later topics.The exam will be given during your quiz section time on Thursday. Many instructors devote one lecture period to an in-class review session, the day before the midterm.
There is no worksheet this week.
| Week 6 outline | Math 125 main page | Week 8 outline |