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\begin{document}

\section*{Final review}

\begin{enumerate}

\item 
There is also a set of sample exams that one instructor put in alpha-graphics (1300 E)
that you can buy.  
Both this review and the review in alpha-graphics may be incomplete. 
(But I think it is pretty comprehensive, 
but its 1:00 am and I could have forgotten something).

\item  You need to know how to write your answer in a sentence! 
Make sure you show \underline{all} your work when you take the final.

\item Chapter 1.  
Know how to find equations of lines and what parallel and perpendicular lines are
(1.7:1-40).
Understand functions and how to compose two functions (1.3:7-16 and handout).
Understand cost, revenue, profit, and supply and demand.
This includes break-even analysis and market equilibrium (1.6: 1-24,1.9: 1-38).
Know how to solve systems of linear equations, you can and should use
methods from chapter 2. (1.8:all especially 1-22)

\item  Chapter 2:
Matrices.  
Know how to add, and multiply matrices (2.1:15-26, 2.2:1-42).
Know elimination (2.3:1-26).
Know how to find inverse matrices and know how to use them (2.4:15-22,29-36).

\item  Chapter 3:
Inequalities.
Know how to solve and graph these in 2 variables (3.2:17-32),
and how to do linear programming(3.3:13-53).
Because a linear programming problem will demonstrate the ability(or lack thereof)
to solve and graph a a system of inequalities, you can expect only a 
linear programming problem on the final (although its not set in stone yet).

\item  Chapter 4: quadratic function.
Know the quadratic formula and how to use it (4.1:49-63).
Know how to find the maximum or minimum of a quadratic function (4.2:35-46,50-53).
Understand the applications in this chapter.  
This should just be a matter of understanding break even analysis and marker equilibrium
and what to do when quadratic functions are involved (4.3:all).

\item  Chapter 5: logarithms and exponentials.
The new thing here was logarithms.
Understand how to convert a log equation into a exponential equation and
vice-versa (5.2:1-12).
Know the properties of logarithms (5.2:19-36, if it was up to me, 
I would test the understanding of these by using a story problems somehow,
but you do need to know this).
The most important thing in this chapter is solving equations (5.3:all).
Another possibility that could be tricky without practice is some problems like
(5.review:23-26).

\item  Chapter 6: finances.
The good news is that you will be given the formulas on the test, 
but you will have know which formula to use.
For example, if its an annuity and you deposit at the end of the period you use an 
ordinary annuity.  If you deposit in the beginning of a period, you use an annuity due.
I would study only ordinary annuities and annuities due.
Although we didn't specifically look at annuities due, the only difference
is when you deposit the money, and that changes the formula.
You need to know the difference between simple interest, compounded interest,
and interest that is compounded continuously.
There will not be any specific questions on sequences.
(6.1:1-16, 6.2:1-40, 6.3:1-28).




\end{enumerate}







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