Math 130-03, Spring 2001 Information for the Final Exam ----------------------------------------------------------------------------- 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