Some old departmental qualifying exams are available here (all links are PDF’s) Some PDF files of questions arranged by topics. Collected by Danny Calegari and Tom Coates. To better prepare for your upcoming examinations, you can take a look at Past Qualifying Exams. This will give you a mental picture of what you might be facing.Download Calculus 1 formula sheet and more Calculus Cheat Sheet in PDF only on Docsity! Calculus I Formula Sheet Chapter 3 Section 3.1 1. Definition of the derivative of a function: ( ) 0 ( ) ( )lim x f x x f xf x x∆ → + ∆ −′ = ∆ 2. Alternative form of the derivative at :x c= ( ) ( ) ( )lim x c f x f cf c x c→ −′ = − 3.

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