Dear all,                                                                                     
                                                                                              
I hope you had a fantastic weekend.  Last Thursday, we mentioned that a Maclaurin Series is   
just a Taylor Series with center a=0.  A Taylor series is a routine computation, and I      
wouldn't be surprised to see a question of the form "find the taylor series of this function
centered at a = some number" on the midterm.  Just memorize the formula and know how to use  
it. The relief for these problems is that they don't require much in the way of intuition.   
It's a more rote problem like those familiar problems from 21A: just take derivatives.       
                                                                                              
A Taylor series is just a special kind of power series.  For power series, we discussed a bit 
how we can find the interval of convergence.  We also discussed how to compute the radius of 
convergence.  It's exactly half the length of the thing that I personally call the "diameter 
of convergence".                                                                             
                                                                                              
QUIZ SOLUTIONS                                                                                
                                                                                              
Please examine the quiz solutions at:                                                         
http://www.math.ucdavis.edu/~ekim/teaching/0708/spring/21C/                                   
                                                                                              
I apologize that they are so long-winded.  I wanted to be thorough so that they can make sense
when you read them on your own time.  I'm happy to go over them in office hours if you have  
questions.  I also tried to address common pitfalls: please read the parts that may be       
applicable to you.  I hope the thoroughness of these files are helpful to you!               
                                                                                              
Best,                                                                                         
Eddie