What	Where	Link
Reading	Text – 6.4 and 6.5
Worksheet	Website – Solids of Revolution	Astroid.pdf
Homework	Website	week4probs.pdf Selected Answers

Student Guide:

This is the week of Midterm #1. Typically, this midterm would go up to and include Section 6.3 of the text. Depending on the quarter and instructor, the material covered on the first midterm will vary. Ask your instructor for precise information on the sections covered. Keep these comments in mind as you look over old midterms in the archive. The midterm will probably be given in TA section on Thursday. Many instructors devote one lecture period to an in-class review session, the day before the midterm.

The remaining lecture day this week is devoted to Section 6.5, Average Value of a Function. You should try to get geometric insight into what this topic is about. Can you draw a picture that explains what the Average Value of a particular function is?

• The short worksheet Astroid.pdf is intended to be given Tuesday, before the midterm. It provides a review of computing volumes of solids of revolution. It also introduces the astroid, a hypocycloid.
• The first two homework problems in week4probs.pdf are selections from the textbook.
• Problem 3 is a classic example of a work computation problem – computing the work required in moving an object away from a planet (or in this case, the Moon).
• Problem 4 combines two concepts – the work done in pumping water out of a container and the volume of rotation given by the graph of a function. This sort of blending of topics is something you should expect to see on your exams.
• Problem 5 gives you some more practice with volumes of rotation, while incorporating optimization techniques from Math 124. (Yes, you should make sure you remember your old calculus material!)