Math 1572H Honors Calculus Spring Semester 2002

Assignment 2 - Due Thursday 2/7/2002

Hand in the starred (*) problems.

Read: Simmons, Sections 9.4 and 9.5. The homework exercises include questions from section 9.3, but really the text of 9.3 does not introduce any new techniques and is by way of revision. The exercises at the end of 9.3 require you to do the same sort of thing as something we did last semester, except that we now have logs and exponentials available to us, so more is possible.

Exercises:

Sec. 9.3: 6, 8, 12*, 14, 16*, 17, 18
Sec. 9.4: 16, 17, 18, 20*, 28*, 29
Sec: 9.5: 10, 12, 18*, 20*, 22, 24*, 26*, 28

Assignment 3 - Due Thursday 2/14/2002

Read: Simmons, Sections 10.1, 10.2, 10.3, 10.4, 10.5. In my presentation in class I will pull together the material from these sections, but not always in the order presented in the book.

You could also read Section 9.7 if you want, which is about the hyperbolic functions. I will not ask you any questions specifically about these functions. There is a kind of integral for which they are useful, but it can also be done a different way, so we don’t need the hyperbolic functions. The purpose of looking at Section 9.7 is for background information: these functions do arise, and if you come across them it is at least useful to know where to look to find out about them.

Exercises:

Sec. 10.2: 3*, 4, 18, 19, 22*, 31
Sec. 10.3: 6, 7, 8, 9*, 12*, 15, 21
Sec. 10.4: 5, 6*, 12, 14*, 16,18
Sec. 10.5: 2, 4, 6, 10*, 14*