jppike
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So next fall I will be taking the Mathematics subject GRE, and I've been looking over the website, here is a description of the Calculus which will make up the majority of the examination:
Material learned in the usual sequence of elementary calculus courses — differential and integral calculus of one and of several variables — includes calculus-based applications and connections with coordinate geometry, trigonometry, differential equations and other branches of mathematics.
I was just wondering what type of questions I would be likely to see. Presumably they can't mostly be technical questions, i.e solving a basic ODE or integrating something, as that seems too simple. So there must be a lot of questions designed to test your geometric intuition then? Or perhaps some analytical-based questions, i.e 'on which of the following domains is the given function Riemann integrable?' ? Any advice you could give on preparing for the material on the GRE would be greatly appreciated
Also, what texts would you recommend for reviewing this elementary calculus? I would certainly not be looking for one of those massive first year calculus books, but rather a concise and difficult book which stresses the building of an intuition on the subject, with exercises that go far beyond "differentiate the following 100 functions".
Thanks!
Material learned in the usual sequence of elementary calculus courses — differential and integral calculus of one and of several variables — includes calculus-based applications and connections with coordinate geometry, trigonometry, differential equations and other branches of mathematics.
I was just wondering what type of questions I would be likely to see. Presumably they can't mostly be technical questions, i.e solving a basic ODE or integrating something, as that seems too simple. So there must be a lot of questions designed to test your geometric intuition then? Or perhaps some analytical-based questions, i.e 'on which of the following domains is the given function Riemann integrable?' ? Any advice you could give on preparing for the material on the GRE would be greatly appreciated
Also, what texts would you recommend for reviewing this elementary calculus? I would certainly not be looking for one of those massive first year calculus books, but rather a concise and difficult book which stresses the building of an intuition on the subject, with exercises that go far beyond "differentiate the following 100 functions".
Thanks!