Kleppner/Kalenkov math background?

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I'm wondering what mathematical background is needed to tackle Intro to Mechanics by said authors? I had a whole calculus sequence, including vector analysis, linear algebra and a first course in mechanics (calculus-based). Would that be enough or I'll need differential equations too?
 
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It's enough. In fact, just single-variable calculus is enough to get through the book as the basic multivariable calculus used is taught to you.
 
Frion is right.