Math 308 Assignment for Unit 1

Due: In class Wednesday September 11, 2013


Exercises from Section 1.1 page 7-10: 
2,4,7,10-20,22,23,26.

Some of these problems ask you to draw the direction field.  
Computers could be used for that. For these problems though 
I'd like you to draw the direction field by hand.  Start with 
one on scratch paper.  Then for your final version choose your
axes strategically and the spacing between lines so that 1) you 
get important possible features of the solution, and 2) you don't
have to draw too many direction lines.  For example, if the right
hand side does not depend on t then 3 or 4 slopes for each y-value is sufficient.
You may have to think about number 26 before plugging in values.
Which parts of the plane give simple (and important) values for the slope?

You can check your work with the dfield java applet or dfield.m Matlab script.
Exercises from Section 1.2 page 15-19:
3,4,7,8,10.

Exercises from Section 1.3 page 24-26:
1,3,5,7,9,15,17,22,26.