Math 130-03, Spring 2001                       Information for the Final Exam
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The final exam for this course will be given on Wednesday, May 9, at 8:30 AM
in our regular classroom.  You can expect the exam to be five or six pages
long.  It will be cumulative, with some emphasis on material that we have
covered since the third test.  Remember that I will drop your lowest
of six grades (three tests, labs, WebWork, final exam).  If you are satisfied
with your grade before the final exam, you can take a zero for the final
exam.   In that case, the zero on the final will be the grade that I drop.
I expect to have your grade, exclusive of the final exam, available in class
on Friday.

Here are the important ideas that we have covered since the third test:

     cusps, vertical tangent lines, and oblique asymptotes
     relative maximum, minimum, extremum
     critical point
     first derivative test
     second derivative test
     absolute maximum and minimum
     Extreme Value Theorem
     Max/Min word problems
     motion along a line
     velocity and speed
     acceleration
     the free-fall model (vertical motion under the influence of gravity)

In addition to this new material, you are responsible for all the material
that was covered on the previous tests.  You can find copies of the review
sheet for each test on the course Web page (http://math.hws.edu/eck/math130/).
Some of the most important general areas that we covered include:

     functions and graphs
     transformations of functions (translations and scaling)
     composition of functions
     trigonometric functions
     limits
     infinite limits and limits at infinity
     limits of rational functions
     secant lines and tangent lines
     average velocity and instantaneous velocity
     derivative formulas (lots of them!)
     continuity
     the definition of the derivative in terms of limits
     inverse functions
     logarithms and exponential functions
     the number e
     related rates
     concavity of functions
     what the first and second derivatives say about the graph of a function
     
Here are a couple of things that will not be on the final exam:

      epsilon/delta definition of the limit
      limits involving trigonometric functions
      inverse trigonometric functions