31Ac08fm2list - Mathematics Department, UCLA T. Richthammer...

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Mathematics Department, UCLA T. Richthammer fall 08, information Nov 7, 2008 Information on the second midterm: Math 31A Calculus, Sec. 2 On the midterm there will be some questions on definitions, theorems and explanations. The following list gives not a complete list of all possible things, but a list of the most important things that you have to know: Chapter 4: Definition and graphical explanation of linear approximation. Precise definition of global extrema, local extrema and critical points. Statement and proof of Rolle’s Theorem, statement of the MVT. Proof of the “sign of derivative” test. Proof of the Theorem “two antiderivatives can only differ by a constant”. Chapter 5: Proof of the power sum rule (telescoping trick). Precise definition and graphical description of endpoint approximations L N and R N . Graphical explanation of the theorem “endpoint approximation for monotone func- tions”. You can easily prepare for these questions by carefully revisiting the corresponding parts from
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This note was uploaded on 05/20/2010 for the course MATH 31A Math 31A taught by Professor Thomasrichthammer during the Fall '08 term at UCLA.

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31Ac08fm2list - Mathematics Department, UCLA T. Richthammer...

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