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There are several classic books that provide preparation in calculus. James Stewart's Calculus (8th edition)  is one of the most widely used text books, covering the usual differential, integral, and multivariate calculus. Ron Larsons' Calculus is a popular alternative to Stewart, and covers similar material. I personally used Serge Lang's A First ...


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Well I'm not a programmer, but I'm pretty sure that you need math to program like the air you breathe. Especially if you want to become very, very good at it; I mean if you want to understand algorithm running time, do analysis on the complexity of a specified algorithm or trying to find a new one who performs better, you really need to be confident in ...


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My favorite way of explaining it is "when is it good to switch? When is it good to stay? What are the odds of each?". That and the million doors thing, like you said are good.


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Perhaps you can use colours and simple objects like eggs, which students in grade 6 can easily acquaint with. Suppose a basket A has 5 eggs: a red egg, a blue egg, a green egg, a yellow egg, and a white egg. Also suppose a basket B has no eggs. Asking which eggs belong in both baskets shall illustrate how the two sets intersects (if at all, since we are ...


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Assuming he already knows what an empty set is, it should not be too hard. Usually, a good way to represent sets is bags with things in them, and an empty set is just a bag with nothing in it. Now, you can represent an intersection of sets with picking common things. So if one bag has eggs, flour and butter and the other has butter, milk and bread, the ...


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I can't imagine that A graduate program in economy would include a course in graph theory as an obligatory class. It may be available as an optional course though. As per the prerequisites it depends a lot on the class, if you want an introductory course then you may only need basic set theory and a working knowledge of how proofs work, specially induction ...



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