Math 172 : Midterm 3
Tuesday, April 9: 6:108:00pm
Summary Points:  
This exam requires a fair amount of memorization but will not require hard calculations.
The sequences a_{n} defining the series are all simple (or even very simple) so none of the limit calculations
are hard. For the Integral test, you may have to evaluate an improper integral by
substitution. You may need to take multiple derivatives of simple functions for Taylor
series. By far, however:
Know your convergence theorems, how to use them, how to verify hypotheses if needed and how to state your answer clearly. 

1)  Exam Topics


2)  There may be a small value question on the sequence material in section 10.1. But, you will be required to take limits of sequences {a_{n}} when using tests like the Ratio, Root and Limit Comparison tests.  
3) 
Unless otherwise stated you must verify all test hypotheses for full credit as in
Comparison tests, Integral test, alternating series test etc. For some questions you
will be required (at some point) to state and verify hypotheses.
In all instances clearly state your conclusions. Just writing "converges" is not sufficient.
But "the series converges by the Limit Comparsion Test" is sufficient since it says
what is converging and by what test.


4) 
There will be a short True/False Theorem and Concepts problem with 5 short True/False questions
like these


5) 
There will be a short "matching" problem very much like this one here.


6) 
Miscellaneous remarks:


7)  Remember our tutoring resources  both the Math Learning Center and review sessions held by Rob Malo.  
Formula Sheet that will be attached to Midterm
Click on the image to view the PDF.
TETT  Technology Enhanced Traditional Teaching Updated on: 02/17/2014.