On math studying.

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What is expected on graduate school for students when learning a topic in a course? To read and fully undertand the proofs of theorems on the respective book, then make some exercises; or to read only the theorems but do a lot of exercises? or maybe both both?

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Read and understand the theorems; be able to state, apply and prove the theorems; do exercices to master the techniques; and learn to apply the ideas of the course to solve more complex problems.