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{\bf Math 126 Calculus II}
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  {\bf Tips for Studying for the Final Exam}
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The exam is Thursday, December  16, 1:45-3:45 p.m.  It's length
will be approximately one and a half times the length
of the first two exams. 
 Make sure you know what room your exam is in.  Here is a list of room
assignments for the exam:

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\begin{tabular}{lll}
 Math 126A & Professor Snow & OSHA 204\\
 Math 126B & Professor Stanton & GALV 283\\
 Math 126C & Professor Lazarovici & DBRT 141
\end{tabular}

\medskip

There will be a review session the evening of Wednesday, December 15,
in room \newline 
 283 Galvin at 7:00 p.m.  This is your  chance to get  last minute
questions answered.


The exam will cover  the entire course.  The specific sections
covered are chapter 6, except for section 6.12, chapter 7, except for
section 7.5, chapter 8, and chapter 9 except for sections 9.2 and 9.8.
In regards to the inverse trig functions, you are only responsible for
the inverses of $\sin(x)$, $\cos(x)$ and $\tan(x)$.  For the hyperbolic
functions, you are only responsible for $\sinh(x)$, $\cosh(x)$, $\tanh(x)$ and
their inverses.  Picard's method (a topic in section 8.2)
and power series solutions of differential equations
(a topic in section 8.11) will not be included.  More weight will
be given to material we have covered since the last exam
(sections 8.10 and 8.11 and chapter 9) than to material which 
was covered on the first two exams.  More specific information 
about the final may be available later.  If so, it will be posted
on the web site

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 http://www.nd.edu/$\sim$nancy/Math126/announcements.html

\medskip
  
Calculators will be allowed.  However, you must show all your work and
all important steps on each problem.  We have chosen the exam problems
carefully to test your knowledge and understanding of the topics we
have studied.  You will get very little credit or no credit for just
writing down an answer you find on your calculator.


  The ``Questions to Guide Your Review" at the end of each chapter
of Thomas and Finney do an excellent job of giving you a review
of what the basic concepts are.  

 A good strategy for practicing computation is to go back through
the homework problems and work problems similar to those assigned.
At the end of each chapter in Thomas and Finney, there are 
``Practice Exercises" and ``Additional Exercises--Theory, Examples." 
Unlike the problems in the sections, these problems come with fewer
clues as to how to proceed. 
 Begin by studying the
material, to make sure you have everything at your finger tips.  Then
work an assortment of the odd-numbered problems.          

You might also try checking whether the following works:

\noindent
\qquad\qquad Integral z-squared dz

\noindent
\qquad\qquad from 1 to the square root of 3

\noindent
\qquad\qquad times the cosine

\noindent
\qquad\qquad of three pi over 9

\noindent
\qquad\qquad equals log of the cube root of e.

\noindent
\qquad\qquad ---(author unknown)


We have covered lots of topics.    On an exam designed to take 
two hours, we cannot possibly ask you a question about each topic.

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