- Sketch the graph of a rational function. Pay attention to horizontal and vertical asymptotes, x-intercepts, holes, multiplicity of factors (odd/even).
- Maximize a linear programming problem.
- Consider a fourth degree polynomial function.
- Determine the possible number of positive, negative, and complex solutions.
- List all possible rational zeros of the function.
- Find all zeros of the function.
- Completely factor using linear and irreducible quadratic factors

- Find the partial fraction decomposition of a rational function.
- Write a polynomial function which matches the description given.
- Write a rational function which matches the description given.
- Write a conic section in standard form. No need to graph.
- Work a variation problem (emphasis on Hooke's law).
- Identify the conic section or degenerate case. Nine parts, no answer is duplicated. The possible answers are not listed.
- Work a problem involving a geometric series.
- Find the equation of a parabola passing through three points.
- Add two matrices.
- Multiply two matrices.
- Find the inverse of a matrix.
- Find the determinant of a matrix.
- Multiply a scalar and a matrix.
- Find the sum of an arithmetic sequence.
- Write a function which has the given zeros.
- Find the inverse of a function.
- Identify the rule, definition, or theorem stated or applicable. 8 parts. You should at least know ...
- Definition of absolute value
- Definition of adjoint (Transpose of matrix of cofactors)
- Definition of break-even point
- Definition of combination
- Definition of circle
- Definition of ellipse
- Definition of factorial
- Definition of hyperbola
- Definition of inverse of a matrix (Adjoint divided by determinant)
- Definition of parabola
- Definition of permuation
- Descarte's rule of signs
- Fundamental theorem of algebra
- Fundamental theorem of arithmetic
- Fundamental theorem of linear programming.

- Identify each statement as true or false. 8 parts. You should know at least ...
- Three elementary row operations that produce row-equivalent matrices.
- Four requirements of being in reduced echelon form.
- Three properties of logarithms involvings sums/products, differences/quotients, exponents/multiples.
- Associativity and commutativity of matrix addition and multiplication.
- The change of base formula for logarithms.
- Shortcuts for evaluating determinants of matrices.
- When the inverse of a matrix exists.
- The limit defintion of e.
- Definition of one-to-one function.

I strongly urge you to go through and organize your notebook before taking the exam. Examples of things you can do to improve your grade on the exam include ...

- Place index tabs in the notebook at the sections mentioned above. If your notes are lacking in any of these areas, fill them in.
- Copy all definitions and true-false answers/properties onto one page at the beginning of the notebook.
- Correct problems on old exams that you missed and are going to re-appear on the final. Make sure you know why you missed them the first time.
- Answer as many questions as you can before you go to your notes. Once you go to your notes, your productivity will really decrease.
- Answer the problems you know how to do first. Don't let problem 1 freak you out. There is no rule which says that you must answer the questions in order.