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M408L Test2Review - M 408L Integral Calculus Test#2 Review...

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M 408L Integral Calculus Prepared by Chris Mirabito Test #2 Review Sheet (“Cookbook”) March 20, 2007 Test #2 will be held on Tuesday, March 27, 2007 at 7:00pm in GSB 2.124 ( THIS IS A DIFFERENT LOCATION THAN EXAM 1 ). The test will over § 8.1, § 8.2, § 8.3, § 8.4, § 8.5, § 8.7, § 8.8, § 15.3, § 16.1, § 16.2, and § 16.3 in the course textbook. 1 You cannot use a calculator (or any other electronic devices), books, or notes in any form. The test will be 2 hours long and will be worth 20% of your final course grade. On the test will be up to 20 multiple-choice questions similar to what you have found on Homeworks #5 through #9. Unlike the homework problems, you will NOT lose points for guessing. Please bring your UT ID cards to the test. We will be checking them: your cooperation with the University policy on cheating is expected. Also, remember to bring a #2 pencil and eraser to the test, as none will be provided. All other testing materials will be provided. This review sheet is intended to help you prepare for the test. It states in a nutshell pretty much everything that we have covered in the course since Test #1, but this list is not exhaustive . Please be sure you are familiar with all concepts listed here. If you are having trouble, please stop by Dr. Fouli’s or your TA’s office hours. Do not wait until the last minute to ask for help. And remember, material needed for Test #1 could very well be used again on this test. . . that means volumes, exponentials, etc. Darice Chang will hold a review session Friday, March 23rd, 2007 from 2:00pm until 4:00pm in BUR 112. I highly recommend attending this, since it will help answer any last-minute questions you may have. There is a practice test for you attached at the end. It is in a format similar to the actual test. You should take this test in a quiet area without books, notes, and calculators. Hopefully it will help you study. w Students with legitimate, documented learning disabilities or special needs should consult the “First Day Handout” located at http://www.ma.utexas.edu/dev/math/Courses/M408L/handout.html for information regarding testing dates, times, and locations (which will be different from that of the regular time). Students who cannot take the test at the regularly scheduled time due to conflicts with other classes, exams, or docu- mented illnesses should also consult this page for make-up test information. In all cases, make sure Dr. Fouli knows about your situation well in advance. § 8.1 Integration by Parts Memorize this formula: udv = uv - vdu For definite integrals: b a udv = uv b a - b a vdu It helps to make a little table for u , du , v , and dv . After filling in this little table, all you have to do is plug n’ chug. How to choose u : LIATE L ogarithmic functions I nverse Trigonometric functions 1 If you have another version or a previous edition of the textbook, the sections to you need to know may be slightly different. If you are not sure which sections you should study, please ask me.
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