The Algorithm Design Manual/Big O Notation

Greetings,

I am a computer science major and I have come across something that is really throwing me for a loop (no pun intended).  It is Big O Notation (among other things in the Algorithm Design Manual, but that’s the one I’m working on right now).  Is there any way you could do a series on how to do the exercises found in The Algorithm Design Manual?  I don’t want the answers, but it would be helpful if you could do examples that would help with the completion of the exercises especially things like the 2-1,2-2,2-3,and 2-4 exercises.

Thank you!

-Kit