**Math 3593H Honors Mathematics II Spring Semester 2004
**

Exercises:

Section 4.3 (pages 434-435: 1*, 2, 5*.

Section 4.5 (pages 452-455): 6, 7, 8, 11*, 12, 13, 14*, 15, 16, 18*, 19.

Sections 4.1 and 4.3 are theoretical in nature, concentrating on the foundations of what can and cannot be done, and you will probably feel that you could guess the highlights anyway (e.g. Theorem 4.3.7: continuous functions can be integrated). In Section 4.6 the heavy-duty result is Fubini's theorem, but they relegate the proof to an appendix. For your purposes the more important thing is to be able to do calculations where you change the order of integrations, and I think you probably have already an idea of how to do this. In fact, I think you could probably do the exercises to Section 4.5 right now.

Because if it had four doors, it would be a chicken sedan.