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tips on solving problems

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Its mostly just a practice thing. The more mathematics you are exposed to, the larger your toolbox gets.
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Just don’t get discouraged if you don’t get something. Math can make you feel stupid but that’s normal. The trick is to keep going.

If you are studying a rigorous course, always try to really understand the proofs. Don’t memorize them. Just really understand them. This can take multiple days but it’s worth it. Because then, every technique used in the proof is part of your toolbox to solve problems yourself. That’s how you get better and achieve mathematical maturity.
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1. Drink black coffee, it helps, trust
2. You need to be interested or stressed to learn, you can cause stress by setting an arbitrary deadline for yourself, if you fail to meet it you have to punish yourself. If you can't do this then have someone else enforce the punishment for you.
3. Make sure you don't forget past material, if you find your knowledge of past material flimsy, go back and UNFLIMSE it
4. Repeat
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