Final Exam Review Sheet

# Final Exam Review Sheet - Final Exam Review Sheet The...

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Final Exam Review Sheet The Standard Caveat: Any review sheet is a compilation of personal opinions about the relative importance of various parts of the material. These are jason's. It would be crazy to rely on any single resource to study for your Exam, including this little study guide! This time, to make my point, I intentionally left off 3 key concepts. What are they? This exam will cover old material. .. 1.1-1.7 2.1-2.7 3.1-3.7, 3.9 4.1-4.4 ...and new material 4.5-4.6 5.1-5.4 6.1,6.2 Yes, indeed, we really did skip. .. 3.8 and 3.10 4.7 and 4.8 The final exam is cumulative. Some of the questions could have been asked on Exam 1 or Exam 2. How many? Most of the questions are designed to test new material, but a large minority will cover "old" material. This review sheet focuses on the new sections only because previous review sheets adequately discuss the older ones. 4.5 Speaking of difficult sections! This is the "grown up" version of 4.3. You learned in 4.3 that a function can be optimized by finding its critical points, checking endpoints, and using first- or second-derivative tests, etc. Now you must apply all of those skills to problems in which you don't have a simple formula f(x)=x^2+x for the function involved. You must deduce this formula for yourself, and that requires geometric intuition. General tips are given on page 198, so I won't repeat. Common mistakes include: finding critical points, but forgetting to check endpoints, or otherwise verify that they are the global max or global min sought. solving for one variable, circling, e.g., "r=9", and stopping without calculating

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## This note was uploaded on 02/08/2012 for the course MATH 115 taught by Professor Staff during the Winter '05 term at University of Michigan-Dearborn.

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Final Exam Review Sheet - Final Exam Review Sheet The...

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