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3f-fall2010-final_exam_review - Math 3F Final Exam Study...

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Math 3F Final Exam Study Guide Laney College, Fall 2010 Fred Bourgoin The final exam is on Tuesday, December 14, from 5 to 7 p.m. in the usual room. You are allowed to bring one 8 1 / 2 × 11 two-sided page of notes. I will hold office hours Monday from 4:30 to 6:30 p.m. in the math lab if you have any questions. 0. Stuff You Can Skip - Chapter 1 (If you are still in the class, you know this stuff.) - Chapter 2: direction fields; theoretical results (differences between and linear and nonlinear equations, existence and uniqueness theorem); in- tegrating factors for exact equations; Euler’s method; difference equa- tions - Chapter 3: theoretical results (with the exception of the Wronskian); reduction of order; electrical circuits; quasi-frequency and quasi-period; resonance, beats, and amplitude modulation - Chapter 5 (These problems take too long to solve... and grade.) - Chapter 7: all the linear algebra not listed below; anything about matrices larger than 2 × 2; theoretical results; phase portraits; funda-
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